%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP340-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:15 PM UTC 2026
% Result : Unsatisfiable 57.19s 13.28s
% Output : CNFRefutation 92.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 71
% Syntax : Number of formulae : 4940 ( 563 unt; 15 def)
% Number of atoms : 29096 (11160 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 9232 (2202 ~;7030 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 2073 ( 0 sgn2073 !; 0 ?;2038 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f76]) ).
fof(f78,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f79,plain,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f78]) ).
fof(f80,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f81,plain,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f80]) ).
fof(f82,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f82]) ).
fof(f84,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f94]) ).
fof(f96,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f97,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f96]) ).
fof(f98,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f99,plain,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f98]) ).
fof(f100,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f100]) ).
fof(f102,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f103,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5
| sk_c11 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(reorient_equations,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( multiply(X6,inverse(X4)) != X7
| inverse(X4) != inverse(X7)
| inverse(X6) != X7
| sk_c11 != multiply(inverse(X4),sk_c10)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != inverse(X1)
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(equality_resolution,[],[f106]) ).
tcf(c_103,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_104,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c10,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_126,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_128,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_133,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_134,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_135,negated_conjecture,
( ( multiply(sk_c1,sk_c10) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_136,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_138,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_140,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_142,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_145,negated_conjecture,
( ( inverse(sk_c2) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_146,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_148,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_150,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_152,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_153,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_154,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_155,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( inverse(X5) != sk_c10 )
| ( inverse(X4) != sk_c11 )
| ( inverse(X3) != sk_c10 )
| ( inverse(X2) != sk_c11 )
| ( multiply(sk_c10,sk_c11) != sk_c9 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(X5,sk_c10) != sk_c9 )
| ( multiply(X4,sk_c11) != sk_c10 )
| ( multiply(X3,sk_c9) != sk_c10 )
| ( multiply(X2,sk_c10) != sk_c11 )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_621,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_156]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_156]) ).
tcf(c_623,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_156]) ).
tcf(c_624,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c10) != sk_c11 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_156]) ).
tcf(c_625,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_156]) ).
tcf(c_626,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c10,sk_c11) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_156]) ).
tcf(c_627,definition,
iPr_def_15 = multiply(sk_c10,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_628,definition,
iPr_def_16 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_629,definition,
iPr_def_17 = multiply(sk_c2,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_630,definition,
iPr_def_18 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_631,definition,
iPr_def_19 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_632,definition,
iPr_def_20 = multiply(sk_c8,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_633,definition,
iPr_def_21 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_634,definition,
iPr_def_22 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_635,definition,
iPr_def_23 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_636,definition,
iPr_def_24 = multiply(sk_c4,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_637,definition,
iPr_def_25 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_638,definition,
iPr_def_26 = multiply(sk_c3,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_639,definition,
iPr_def_27 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_640,definition,
iPr_def_28 = multiply(sk_c1,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_641,definition,
iPr_def_29 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_642,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_626,c_627]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_625]) ).
tcf(c_644,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c10) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_624]) ).
tcf(c_645,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_623]) ).
tcf(c_646,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c9) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_622]) ).
tcf(c_647,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_621]) ).
tcf(c_648,negated_conjecture,
( ( iPr_def_17 = sk_c10 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_155,c_629,c_628]) ).
tcf(c_649,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_154,c_630]) ).
tcf(c_650,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_153,c_631]) ).
tcf(c_651,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_152,c_632]) ).
tcf(c_652,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_151,c_633]) ).
tcf(c_653,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_150,c_634]) ).
tcf(c_654,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_149,c_635]) ).
tcf(c_655,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_148,c_636]) ).
tcf(c_656,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_147,c_637]) ).
tcf(c_657,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_17 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_146,c_638]) ).
tcf(c_658,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_145,c_639]) ).
tcf(c_659,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_660,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_661,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_662,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_663,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_664,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_665,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_666,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_667,negated_conjecture,
( ( iPr_def_27 = sk_c10 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_668,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_135,c_640]) ).
tcf(c_669,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_670,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_671,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_672,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_673,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_674,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_675,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_676,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_677,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_678,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_125,c_641]) ).
tcf(c_679,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_680,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_681,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_682,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_683,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_684,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_685,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_686,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_687,negated_conjecture,
( ( iPr_def_29 = sk_c11 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_688,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_689,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_690,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_691,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_692,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_693,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_694,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_695,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_696,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_697,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_15 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_698,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_704,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1020,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_648,c_650]) ).
tcf(c_1032,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_652]) ).
tcf(c_1088,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_657,c_654]) ).
tcf(c_1120,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_660,c_658]) ).
tcf(c_1150,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_662,c_659]) ).
tcf(c_1184,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_655,c_629]) ).
tcf(c_1205,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_634]) ).
tcf(c_1207,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_634]) ).
tcf(c_1217,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_657,c_636]) ).
tcf(c_1218,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_636]) ).
tcf(c_1223,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_638]) ).
tcf(c_1224,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_638]) ).
tcf(c_1225,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_638]) ).
tcf(c_1226,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_638]) ).
tcf(c_1227,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_651,c_638]) ).
tcf(c_1244,plain,
multiply(iPr_def_25,sk_c3) = identity,
inference(superposition,[status(thm)],[c_637,c_104]) ).
tcf(c_1245,plain,
multiply(iPr_def_23,sk_c4) = identity,
inference(superposition,[status(thm)],[c_635,c_104]) ).
tcf(c_1246,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_633,c_104]) ).
tcf(c_1249,plain,
multiply(iPr_def_29,sk_c1) = identity,
inference(superposition,[status(thm)],[c_641,c_104]) ).
tcf(c_1250,plain,
multiply(iPr_def_27,sk_c2) = identity,
inference(superposition,[status(thm)],[c_639,c_104]) ).
tcf(c_1257,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_640]) ).
tcf(c_1277,plain,
! [X0: $i] :
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_15 != X0 )
| ( sk_c9 != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1294,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_666,c_638]) ).
tcf(c_1320,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_640]) ).
tcf(c_1410,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_670,c_668]) ).
tcf(c_1459,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1483,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_672,c_669]) ).
tcf(c_1484,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_634]) ).
tcf(c_1505,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_1550,plain,
( ( iPr_def_15 = sk_c9 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c9 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1277]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1508]) ).
tcf(c_1839,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_680,c_678]) ).
tcf(c_1872,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_681,c_638]) ).
tcf(c_1944,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_682,c_679]) ).
tcf(c_1946,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_634]) ).
tcf(c_1998,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_683,c_638]) ).
tcf(c_2076,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_684,c_638]) ).
tcf(c_2171,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_676]) ).
tcf(c_2176,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_686,c_638]) ).
tcf(c_2237,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_677]) ).
tcf(c_2243,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_638]) ).
tcf(c_2333,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_2386,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_690,c_688]) ).
tcf(c_2446,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_692,c_689]) ).
tcf(c_2479,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_2490,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( inverse(X0) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_1742]) ).
tcf(c_2508,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_693,c_629]) ).
tcf(c_2623,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_696,c_629]) ).
tcf(c_2711,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_642]) ).
tcf(c_2714,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_642]) ).
tcf(c_2830,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_632,c_644]) ).
tcf(c_2831,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_644]) ).
tcf(c_2832,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_2841,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_29 )
| ( sk_c11 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_2831,c_641]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_2989,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1244,c_105]) ).
tcf(c_2990,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1245,c_105]) ).
tcf(c_2991,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1246,c_105]) ).
tcf(c_2994,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1249,c_105]) ).
tcf(c_2995,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1250,c_105]) ).
tcf(c_2998,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2995,c_103]) ).
tcf(c_2999,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2994,c_103]) ).
tcf(c_3002,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2991,c_103]) ).
tcf(c_3003,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2990,c_103]) ).
tcf(c_3004,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2989,c_103]) ).
tcf(c_3422,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1088,c_667]) ).
tcf(c_3423,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1088,c_664]) ).
tcf(c_3660,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_636,c_645]) ).
tcf(c_3688,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3660,c_635]) ).
tcf(c_3800,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_17 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_629,c_646]) ).
tcf(c_3801,plain,
( ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_646]) ).
tcf(c_3817,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( sk_c10 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3800,c_639]) ).
tcf(c_3916,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_647]) ).
tcf(c_3918,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_647]) ).
tcf(c_3939,plain,
( ~ iPr_def_10
| ( sk_c11 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_3916,c_637]) ).
tcf(c_4320,plain,
( ( inverse(sk_c3) = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( inverse(sk_c3) != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_2490]) ).
tcf(c_4321,plain,
inverse(sk_c3) = inverse(sk_c3),
inference(instantiation,[status(thm)],[c_1505]) ).
tcf(c_4529,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_627]) ).
tcf(c_5241,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2171,c_638]) ).
tcf(c_5740,plain,
multiply(iPr_def_27,iPr_def_17) = sk_c9,
inference(superposition,[status(thm)],[c_629,c_2998]) ).
tcf(c_5759,plain,
multiply(iPr_def_29,iPr_def_28) = sk_c10,
inference(superposition,[status(thm)],[c_640,c_2999]) ).
tcf(c_6048,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_636,c_3003]) ).
tcf(c_6075,plain,
multiply(iPr_def_25,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_3004]) ).
tcf(c_6587,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1184,c_2998]) ).
tcf(c_6588,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6587,c_5740]) ).
tcf(c_7086,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1217,c_3003]) ).
tcf(c_7087,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7086,c_6048]) ).
tcf(c_7166,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1223,c_3004]) ).
tcf(c_7167,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_7166,c_6075]) ).
tcf(c_7178,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1224,c_3004]) ).
tcf(c_7179,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_7178,c_6075]) ).
tcf(c_7190,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1225,c_3004]) ).
tcf(c_7191,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7190,c_6075]) ).
tcf(c_7202,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1226,c_3004]) ).
tcf(c_7203,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7202,c_6075]) ).
tcf(c_7214,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1227,c_3004]) ).
tcf(c_7215,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7214,c_6075]) ).
tcf(c_7251,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1257,c_2999]) ).
tcf(c_7252,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_7251,c_5759]) ).
tcf(c_7566,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1294,c_3004]) ).
tcf(c_7567,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_7566,c_6075]) ).
tcf(c_7620,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1320,c_2999]) ).
tcf(c_7621,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_7620,c_5759]) ).
tcf(c_9222,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1872,c_3004]) ).
tcf(c_9223,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_9222,c_6075]) ).
tcf(c_9696,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1998,c_3004]) ).
tcf(c_9697,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_9696,c_6075]) ).
tcf(c_9792,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2076,c_3004]) ).
tcf(c_9793,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_9792,c_6075]) ).
tcf(c_9885,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2176,c_3004]) ).
tcf(c_9886,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_9885,c_6075]) ).
tcf(c_9962,plain,
( ( inverse(sk_c3) = sk_c11 )
| ( sk_c11 != iPr_def_25 )
| ( inverse(sk_c3) != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1459]) ).
tcf(c_10039,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_2243,c_3004]) ).
tcf(c_10040,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_10039,c_6075]) ).
tcf(c_10525,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2508,c_2998]) ).
tcf(c_10526,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_10525,c_5740]) ).
tcf(c_10811,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2623,c_2998]) ).
tcf(c_10812,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_10811,c_5740]) ).
tcf(c_13627,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_15065,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2987,c_103]) ).
tcf(c_15091,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_15065]) ).
tcf(c_15092,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_15065]) ).
tcf(c_15093,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_105,c_15065]) ).
tcf(c_15276,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3004,c_15065]) ).
tcf(c_15277,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3003,c_15065]) ).
tcf(c_15278,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3002,c_15065]) ).
tcf(c_15281,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2999,c_15065]) ).
tcf(c_15314,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15065,c_15065]) ).
tcf(c_16062,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15092,c_15314]) ).
tcf(c_16092,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16062,c_15091]) ).
tcf(c_16138,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_1410,c_2841]) ).
tcf(c_16144,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_677,c_2841]) ).
tcf(c_16145,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_676,c_2841]) ).
tcf(c_16146,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_674,c_2841]) ).
tcf(c_16147,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_673,c_2841]) ).
tcf(c_16148,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_671,c_2841]) ).
tcf(c_16293,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_16144,c_10040,c_16144]) ).
tcf(c_16305,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_16145,c_9886,c_16145]) ).
tcf(c_16317,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_16146,c_9793,c_16146]) ).
tcf(c_16329,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_16147,c_9697,c_16147]) ).
tcf(c_16341,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_16148,c_9223,c_16148]) ).
tcf(c_16347,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2714,c_16341]) ).
tcf(c_16746,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3423,c_3422]) ).
tcf(c_16817,plain,
( iPr_def_14
| iPr_def_12
| ( sk_c11 = iPr_def_20 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_16347,c_3817,c_7179,c_7215,c_16347]) ).
tcf(c_16818,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_16817]) ).
tcf(c_17088,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_3688]) ).
tcf(c_17169,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_17088,c_6588,c_17088]) ).
tcf(c_17214,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1020,c_3817]) ).
tcf(c_17215,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_3817]) ).
tcf(c_17216,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_3817]) ).
tcf(c_17342,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_657,c_3939]) ).
tcf(c_17451,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_17342,c_7191,c_17342]) ).
tcf(c_17604,plain,
multiply(sk_c3,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_15276,c_104]) ).
tcf(c_17628,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_5241,c_17604]) ).
tcf(c_17629,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1294,c_17604]) ).
tcf(c_17630,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1225,c_17604]) ).
tcf(c_17982,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_17630,c_17629]) ).
tcf(c_19076,plain,
multiply(sk_c4,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_15277,c_104]) ).
tcf(c_19102,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1218,c_19076]) ).
tcf(c_19253,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19102,c_664]) ).
tcf(c_19892,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_15278,c_104]) ).
tcf(c_19916,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_1946,c_19892]) ).
tcf(c_19917,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1484,c_19892]) ).
tcf(c_19918,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1207,c_19892]) ).
tcf(c_19919,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1205,c_19892]) ).
tcf(c_20659,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19917,c_19916]) ).
tcf(c_21207,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19919,c_19918]) ).
tcf(c_21441,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20659,c_17628]) ).
tcf(c_23875,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19253,c_636]) ).
tcf(c_23888,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_23875,c_19076]) ).
tcf(c_23981,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_23888,c_21207]) ).
tcf(c_23983,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_23888,c_17982]) ).
tcf(c_23987,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23888,c_103]) ).
tcf(c_24571,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c3) )
| ( X0 != sk_c11 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_24575,plain,
( ( sk_c10 = inverse(sk_c3) )
| ( sk_c10 != sk_c11 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_24571]) ).
tcf(c_25048,plain,
( ~ iPr_def_13
| ( inverse(sk_c8) != sk_c11 ) ),
inference(global_subsumption_just,[status(thm)],[c_2830,c_2830,c_9223,c_16148]) ).
tcf(c_25194,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_2832,c_16092]) ).
tcf(c_25240,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_666,c_25194]) ).
tcf(c_25241,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_663,c_25194]) ).
tcf(c_25243,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_656,c_25194]) ).
tcf(c_25244,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_653,c_25194]) ).
tcf(c_25644,plain,
multiply(sk_c1,identity) = inverse(iPr_def_29),
inference(superposition,[status(thm)],[c_15281,c_16062]) ).
tcf(c_25871,plain,
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_3801,c_16092]) ).
tcf(c_25895,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_696,c_25871]) ).
tcf(c_25898,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_693,c_25871]) ).
tcf(c_26323,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_2711,c_642,c_1550,c_2333,c_2711]) ).
tcf(c_26584,plain,
inverse(iPr_def_29) = sk_c1,
inference(demodulation,[status(thm)],[c_25644,c_16062]) ).
tcf(c_27503,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_687,c_3918]) ).
tcf(c_27504,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_29)) != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_686,c_3918]) ).
tcf(c_27563,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_27504,c_641,c_26584]) ).
tcf(c_27567,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_27503,c_641,c_26584]) ).
tcf(c_30117,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_23,
inference(superposition,[status(thm)],[c_19076,c_15093]) ).
tcf(c_30408,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_30117,c_16062]) ).
tcf(c_33896,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_4529]) ).
tcf(c_33935,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_38400,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_644]) ).
tcf(c_38413,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_29 )
| ( sk_c11 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_38400,c_641]) ).
tcf(c_38580,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_647]) ).
tcf(c_38688,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_44465,plain,
! [X0: $i] :
( ( X0 = sk_c11 )
| ( sk_c11 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_13627]) ).
tcf(c_44466,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c11 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_44465]) ).
tcf(c_56613,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_38688,c_103]) ).
tcf(c_56639,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_56613]) ).
tcf(c_56640,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_56613]) ).
tcf(c_56875,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_56613,c_56613]) ).
tcf(c_60845,plain,
iPr_def_28 = iPr_def_28,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_60853,plain,
iPr_def_29 = iPr_def_29,
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_62700,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23987,c_30408]) ).
tcf(c_62784,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_62700,c_635,c_6048]) ).
tcf(c_64022,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_56640,c_56875]) ).
tcf(c_64051,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_64022,c_56639]) ).
tcf(c_64227,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_661,c_38413]) ).
tcf(c_69528,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( X0 != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_33935]) ).
tcf(c_69529,plain,
( ( sk_c10 = iPr_def_25 )
| ( iPr_def_25 != inverse(sk_c3) )
| ( sk_c10 != inverse(sk_c3) ) ),
inference(instantiation,[status(thm)],[c_69528]) ).
tcf(c_88387,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_88401,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_88387]) ).
tcf(c_88404,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_88387]) ).
tcf(c_88407,plain,
! [X0: $i] :
( ( sk_c11 = X0 )
| ( sk_c11 != iPr_def_29 )
| ( X0 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_88387]) ).
tcf(c_88514,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = X0 )
| ( iPr_def_28 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_88521,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_29 = X0 )
| ( iPr_def_29 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_88734,plain,
! [X0: $i] :
( ( iPr_def_28 = X0 )
| ( iPr_def_28 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_88514]) ).
tcf(c_88743,plain,
! [X0: $i] :
( ( iPr_def_29 = X0 )
| ( iPr_def_29 != iPr_def_29 )
| ( X0 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_88521]) ).
tcf(c_88880,plain,
( ( sk_c11 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_20 )
| ( sk_c11 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_88401]) ).
tcf(c_88898,plain,
( ( sk_c11 = iPr_def_29 )
| ( iPr_def_29 != iPr_def_28 )
| ( sk_c11 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_88404]) ).
tcf(c_88910,plain,
( ( sk_c11 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_88407]) ).
tcf(c_89187,plain,
( ( iPr_def_28 = iPr_def_20 )
| ( iPr_def_28 != iPr_def_28 )
| ( iPr_def_20 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_88734]) ).
tcf(c_89200,plain,
( ( iPr_def_29 = iPr_def_28 )
| ( iPr_def_29 != iPr_def_29 )
| ( iPr_def_28 != iPr_def_29 ) ),
inference(instantiation,[status(thm)],[c_88743]) ).
tcf(c_133730,plain,
( ~ iPr_def_10
| ( sk_c10 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_38580,c_3939,c_27567,c_27563]) ).
tcf(c_142273,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_17215,c_3817,c_7087,c_7621]) ).
tcf(c_146274,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_17216,c_7252,c_17216,c_62784]) ).
tcf(c_185372,plain,
( ( sk_c11 != iPr_def_29 )
| ( iPr_def_20 != iPr_def_28 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_64227,c_2841,c_9223,c_16148,c_60845,c_88880,c_89187]) ).
tcf(c_185373,plain,
( ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(renaming,[status(thm)],[c_185372]) ).
tcf(c_191850,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( identity != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_663,c_25240]) ).
tcf(c_191963,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_25241,c_637,c_4320,c_4321,c_9962,c_16305,c_16329,c_19919,c_24575,c_44466,c_69529,c_191850]) ).
tcf(c_191984,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2237,c_191963]) ).
tcf(c_193164,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( identity != iPr_def_22 )
| ( sk_c10 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_653,c_25243]) ).
tcf(c_193183,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_25244,c_637,c_4320,c_4321,c_9697,c_9886,c_9962,c_16147,c_16145,c_19918,c_24575,c_44466,c_69529,c_193164]) ).
tcf(c_193219,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_657,c_193183]) ).
tcf(c_199094,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_25895,c_3817,c_7191,c_7567]) ).
tcf(c_199292,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_25898,c_3817,c_7167,c_7203]) ).
tcf(c_238883,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_648,c_650]) ).
tcf(c_238895,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_652]) ).
tcf(c_238903,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_651,c_653]) ).
tcf(c_238915,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_654,c_627]) ).
tcf(c_238916,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_653,c_627]) ).
tcf(c_238917,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_651,c_627]) ).
tcf(c_238924,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_650,c_630]) ).
tcf(c_238925,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_648,c_630]) ).
tcf(c_238936,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_656,c_627]) ).
tcf(c_238937,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_656,c_653]) ).
tcf(c_238938,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_656,c_651]) ).
tcf(c_238950,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_627]) ).
tcf(c_238951,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_657,c_654]) ).
tcf(c_238961,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_658,c_630]) ).
tcf(c_238962,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_658,c_650]) ).
tcf(c_238972,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_652,c_659]) ).
tcf(c_238983,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_660,c_658]) ).
tcf(c_238984,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_660,c_630]) ).
tcf(c_238996,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_656]) ).
tcf(c_238997,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_661,c_627]) ).
tcf(c_238998,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_653]) ).
tcf(c_239013,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_662,c_659]) ).
tcf(c_239024,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_663,c_661]) ).
tcf(c_239025,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_663,c_656]) ).
tcf(c_239026,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_663,c_627]) ).
tcf(c_239035,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_662,c_628]) ).
tcf(c_239036,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_659,c_628]) ).
tcf(c_239037,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_652,c_628]) ).
tcf(c_239038,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_649,c_628]) ).
tcf(c_239047,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_655,c_629]) ).
tcf(c_239050,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_662,c_632]) ).
tcf(c_239051,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_659,c_632]) ).
tcf(c_239052,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_652,c_632]) ).
tcf(c_239053,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_632]) ).
tcf(c_239054,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_632]) ).
tcf(c_239055,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_632]) ).
tcf(c_239068,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_634]) ).
tcf(c_239069,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_659,c_634]) ).
tcf(c_239070,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_634]) ).
tcf(c_239071,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_649,c_634]) ).
tcf(c_239080,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_657,c_636]) ).
tcf(c_239081,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_654,c_636]) ).
tcf(c_239086,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_638]) ).
tcf(c_239087,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_638]) ).
tcf(c_239088,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_638]) ).
tcf(c_239089,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_638]) ).
tcf(c_239090,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_651,c_638]) ).
tcf(c_239101,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_657,c_640]) ).
tcf(c_239102,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_654,c_640]) ).
tcf(c_239117,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_640]) ).
tcf(c_239118,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_636]) ).
tcf(c_239119,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_632]) ).
tcf(c_239120,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_664,c_657]) ).
tcf(c_239121,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_627]) ).
tcf(c_239122,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_664,c_654]) ).
tcf(c_239141,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_665,c_629]) ).
tcf(c_239152,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_666,c_638]) ).
tcf(c_239153,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_663]) ).
tcf(c_239154,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_666,c_661]) ).
tcf(c_239155,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_666,c_627]) ).
tcf(c_239172,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_640]) ).
tcf(c_239173,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_636]) ).
tcf(c_239174,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_632]) ).
tcf(c_239175,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_657]) ).
tcf(c_239176,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_627]) ).
tcf(c_239177,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_654]) ).
tcf(c_239198,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_668,c_660]) ).
tcf(c_239199,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_668,c_630]) ).
tcf(c_239200,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_668,c_650]) ).
tcf(c_239215,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_669,c_634]) ).
tcf(c_239216,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_632]) ).
tcf(c_239217,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_669,c_628]) ).
tcf(c_239218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_669,c_662]) ).
tcf(c_239219,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_652]) ).
tcf(c_239239,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_670,c_668]) ).
tcf(c_239241,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_670,c_630]) ).
tcf(c_239257,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_666]) ).
tcf(c_239258,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_638]) ).
tcf(c_239259,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_663]) ).
tcf(c_239260,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_671,c_661]) ).
tcf(c_239261,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_656]) ).
tcf(c_239262,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_627]) ).
tcf(c_239263,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_653]) ).
tcf(c_239264,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_671,c_651]) ).
tcf(c_239300,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_672,c_669]) ).
tcf(c_239301,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_634]) ).
tcf(c_239302,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_672,c_632]) ).
tcf(c_239303,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_672,c_628]) ).
tcf(c_239325,plain,
multiply(iPr_def_25,sk_c3) = identity,
inference(superposition,[status(thm)],[c_637,c_104]) ).
tcf(c_239326,plain,
multiply(iPr_def_23,sk_c4) = identity,
inference(superposition,[status(thm)],[c_635,c_104]) ).
tcf(c_239327,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_633,c_104]) ).
tcf(c_239328,plain,
multiply(iPr_def_19,sk_c7) = identity,
inference(superposition,[status(thm)],[c_631,c_104]) ).
tcf(c_239329,plain,
multiply(iPr_def_18,sk_c6) = identity,
inference(superposition,[status(thm)],[c_630,c_104]) ).
tcf(c_239330,plain,
multiply(iPr_def_29,sk_c1) = identity,
inference(superposition,[status(thm)],[c_641,c_104]) ).
tcf(c_239331,plain,
multiply(iPr_def_27,sk_c2) = identity,
inference(superposition,[status(thm)],[c_639,c_104]) ).
tcf(c_239332,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_64051,c_104]) ).
tcf(c_239343,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_666]) ).
tcf(c_239344,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_673,c_638]) ).
tcf(c_239345,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_663]) ).
tcf(c_239346,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_673,c_661]) ).
tcf(c_239347,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_673,c_656]) ).
tcf(c_239348,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_673,c_627]) ).
tcf(c_239349,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_673,c_653]) ).
tcf(c_239350,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_673,c_651]) ).
tcf(c_239390,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_666]) ).
tcf(c_239391,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_638]) ).
tcf(c_239392,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_663]) ).
tcf(c_239393,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_661]) ).
tcf(c_239394,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_674,c_656]) ).
tcf(c_239395,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_627]) ).
tcf(c_239396,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_674,c_653]) ).
tcf(c_239397,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_674,c_651]) ).
tcf(c_239437,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_675,c_629]) ).
tcf(c_239454,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_666]) ).
tcf(c_239455,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_676,c_638]) ).
tcf(c_239456,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_663]) ).
tcf(c_239457,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_676,c_661]) ).
tcf(c_239458,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_676,c_656]) ).
tcf(c_239459,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_676,c_627]) ).
tcf(c_239460,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_676,c_653]) ).
tcf(c_239461,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_676,c_651]) ).
tcf(c_239499,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_666]) ).
tcf(c_239500,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_638]) ).
tcf(c_239501,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_663]) ).
tcf(c_239502,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_661]) ).
tcf(c_239503,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_656]) ).
tcf(c_239504,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_627]) ).
tcf(c_239505,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_653]) ).
tcf(c_239506,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_651]) ).
tcf(c_239548,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_678,c_670]) ).
tcf(c_239549,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_678,c_660]) ).
tcf(c_239550,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_678,c_630]) ).
tcf(c_239551,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_678,c_650]) ).
tcf(c_239576,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_679,c_672]) ).
tcf(c_239577,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_679,c_634]) ).
tcf(c_239578,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_632]) ).
tcf(c_239579,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_679,c_628]) ).
tcf(c_239580,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_679,c_662]) ).
tcf(c_239581,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_652]) ).
tcf(c_239608,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_680,c_678]) ).
tcf(c_239611,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_680,c_630]) ).
tcf(c_239639,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_676]) ).
tcf(c_239641,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_673]) ).
tcf(c_239642,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_671]) ).
tcf(c_239643,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_666]) ).
tcf(c_239644,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_681,c_638]) ).
tcf(c_239645,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_663]) ).
tcf(c_239646,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_661]) ).
tcf(c_239647,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_681,c_656]) ).
tcf(c_239648,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_627]) ).
tcf(c_239649,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_681,c_653]) ).
tcf(c_239650,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_681,c_651]) ).
tcf(c_239714,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_682,c_679]) ).
tcf(c_239716,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_634]) ).
tcf(c_239717,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_682,c_632]) ).
tcf(c_239718,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_682,c_628]) ).
tcf(c_239745,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_676]) ).
tcf(c_239747,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_673]) ).
tcf(c_239749,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_666]) ).
tcf(c_239750,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_683,c_638]) ).
tcf(c_239751,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_663]) ).
tcf(c_239752,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_683,c_661]) ).
tcf(c_239753,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_656]) ).
tcf(c_239754,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_627]) ).
tcf(c_239755,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_653]) ).
tcf(c_239756,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_651]) ).
tcf(c_239815,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_677]) ).
tcf(c_239816,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_676]) ).
tcf(c_239817,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_674]) ).
tcf(c_239820,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_666]) ).
tcf(c_239821,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_684,c_638]) ).
tcf(c_239822,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_663]) ).
tcf(c_239823,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_661]) ).
tcf(c_239824,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_684,c_656]) ).
tcf(c_239825,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_627]) ).
tcf(c_239826,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_684,c_653]) ).
tcf(c_239827,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_684,c_651]) ).
tcf(c_239872,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_685,c_629]) ).
tcf(c_239891,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_676]) ).
tcf(c_239895,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_666]) ).
tcf(c_239896,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_686,c_638]) ).
tcf(c_239897,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_663]) ).
tcf(c_239898,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_661]) ).
tcf(c_239899,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_686,c_656]) ).
tcf(c_239900,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_627]) ).
tcf(c_239901,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_686,c_653]) ).
tcf(c_239902,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_686,c_651]) ).
tcf(c_239969,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_677]) ).
tcf(c_239974,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_666]) ).
tcf(c_239975,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_638]) ).
tcf(c_239976,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_663]) ).
tcf(c_239977,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_661]) ).
tcf(c_239978,plain,
( ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_656]) ).
tcf(c_239979,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_627]) ).
tcf(c_239980,plain,
( ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_653]) ).
tcf(c_239981,plain,
( ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_651]) ).
tcf(c_240024,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_688,c_680]) ).
tcf(c_240025,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_688,c_670]) ).
tcf(c_240026,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_688,c_660]) ).
tcf(c_240027,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_688,c_630]) ).
tcf(c_240028,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_688,c_650]) ).
tcf(c_240050,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_239329]) ).
tcf(c_240051,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_680,c_239329]) ).
tcf(c_240052,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_239329]) ).
tcf(c_240053,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_670,c_239329]) ).
tcf(c_240054,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_239329]) ).
tcf(c_240055,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_660,c_239329]) ).
tcf(c_240056,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_658,c_239329]) ).
tcf(c_240057,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_650,c_239329]) ).
tcf(c_240058,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_239329]) ).
tcf(c_240088,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_689,c_682]) ).
tcf(c_240089,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_689,c_672]) ).
tcf(c_240090,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_689,c_634]) ).
tcf(c_240091,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_689,c_632]) ).
tcf(c_240092,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_689,c_628]) ).
tcf(c_240093,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_689,c_662]) ).
tcf(c_240094,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_652]) ).
tcf(c_240131,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_690,c_239329]) ).
tcf(c_240132,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_690,c_688]) ).
tcf(c_240136,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_690,c_630]) ).
tcf(c_240152,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_685]) ).
tcf(c_240153,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_675]) ).
tcf(c_240154,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_691,c_665]) ).
tcf(c_240155,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_691,c_629]) ).
tcf(c_240156,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_691,c_655]) ).
tcf(c_240188,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_692,c_689]) ).
tcf(c_240191,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_692,c_634]) ).
tcf(c_240192,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_692,c_632]) ).
tcf(c_240193,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_692,c_628]) ).
tcf(c_240212,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_685]) ).
tcf(c_240213,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_675]) ).
tcf(c_240214,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_693,c_665]) ).
tcf(c_240215,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_693,c_629]) ).
tcf(c_240216,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_693,c_655]) ).
tcf(c_240254,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_685]) ).
tcf(c_240255,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_675]) ).
tcf(c_240256,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_665]) ).
tcf(c_240257,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_694,c_629]) ).
tcf(c_240258,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_694,c_655]) ).
tcf(c_240290,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_695,c_694]) ).
tcf(c_240291,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_695,c_693]) ).
tcf(c_240292,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_695,c_691]) ).
tcf(c_240293,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_695,c_629]) ).
tcf(c_240324,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_695]) ).
tcf(c_240325,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_685]) ).
tcf(c_240326,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_675]) ).
tcf(c_240327,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_696,c_665]) ).
tcf(c_240328,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_696,c_629]) ).
tcf(c_240329,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_696,c_655]) ).
tcf(c_240366,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_695]) ).
tcf(c_240367,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_685]) ).
tcf(c_240368,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_675]) ).
tcf(c_240369,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_665]) ).
tcf(c_240370,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_697,c_629]) ).
tcf(c_240371,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_697,c_655]) ).
tcf(c_240404,plain,
! [X0: $i] : multiply(sk_c10,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_627,c_105]) ).
tcf(c_240405,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_638,c_105]) ).
tcf(c_240406,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_636,c_105]) ).
tcf(c_240407,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_634,c_105]) ).
tcf(c_240408,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_632,c_105]) ).
tcf(c_240409,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_628,c_105]) ).
tcf(c_240410,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_640,c_105]) ).
tcf(c_240411,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_629,c_105]) ).
tcf(c_240412,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_240413,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_240415,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239325,c_105]) ).
tcf(c_240416,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239326,c_105]) ).
tcf(c_240417,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239327,c_105]) ).
tcf(c_240418,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239328,c_105]) ).
tcf(c_240419,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239329,c_105]) ).
tcf(c_240420,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239330,c_105]) ).
tcf(c_240421,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_239331,c_105]) ).
tcf(c_240422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(multiply(X0,X1),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_105,c_105]) ).
tcf(c_240423,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240421,c_103]) ).
tcf(c_240424,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240420,c_103]) ).
tcf(c_240425,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240419,c_103]) ).
tcf(c_240426,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240418,c_103]) ).
tcf(c_240427,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240417,c_103]) ).
tcf(c_240428,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240416,c_103]) ).
tcf(c_240429,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_240415,c_103]) ).
tcf(c_240450,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_238883,c_667]) ).
tcf(c_240451,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_238883,c_664]) ).
tcf(c_240452,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238883,c_640]) ).
tcf(c_240453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238883,c_636]) ).
tcf(c_240454,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238883,c_632]) ).
tcf(c_240456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_627]) ).
tcf(c_240508,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_238895,c_667]) ).
tcf(c_240509,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_238895,c_664]) ).
tcf(c_240510,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238895,c_640]) ).
tcf(c_240511,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238895,c_636]) ).
tcf(c_240512,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238895,c_632]) ).
tcf(c_240513,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238895,c_657]) ).
tcf(c_240514,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_627]) ).
tcf(c_240515,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238895,c_654]) ).
tcf(c_240577,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_238903,c_667]) ).
tcf(c_240578,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_238903,c_664]) ).
tcf(c_240579,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238903,c_640]) ).
tcf(c_240580,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238903,c_636]) ).
tcf(c_240581,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_632]) ).
tcf(c_240582,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238903,c_657]) ).
tcf(c_240583,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_627]) ).
tcf(c_240584,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238903,c_654]) ).
tcf(c_240629,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_238937,c_667]) ).
tcf(c_240630,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_238937,c_664]) ).
tcf(c_240631,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238937,c_640]) ).
tcf(c_240632,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238937,c_636]) ).
tcf(c_240633,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_632]) ).
tcf(c_240634,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238937,c_657]) ).
tcf(c_240635,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_627]) ).
tcf(c_240636,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238937,c_654]) ).
tcf(c_240679,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_238938,c_667]) ).
tcf(c_240680,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_238938,c_664]) ).
tcf(c_240681,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238938,c_640]) ).
tcf(c_240682,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238938,c_636]) ).
tcf(c_240683,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_632]) ).
tcf(c_240684,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238938,c_657]) ).
tcf(c_240685,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_627]) ).
tcf(c_240686,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238938,c_654]) ).
tcf(c_240739,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_238951,c_667]) ).
tcf(c_240740,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_238951,c_664]) ).
tcf(c_240741,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238951,c_640]) ).
tcf(c_240742,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238951,c_636]) ).
tcf(c_240743,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_632]) ).
tcf(c_240744,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238951,c_657]) ).
tcf(c_240745,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_627]) ).
tcf(c_240746,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238951,c_654]) ).
tcf(c_240795,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_238983,c_238883]) ).
tcf(c_240796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_238983,c_640]) ).
tcf(c_240797,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238983,c_636]) ).
tcf(c_240798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238983,c_632]) ).
tcf(c_240800,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_627]) ).
tcf(c_240847,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_697,c_642]) ).
tcf(c_240848,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_696,c_642]) ).
tcf(c_240849,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c9 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_642]) ).
tcf(c_240850,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_642]) ).
tcf(c_240851,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_693,c_642]) ).
tcf(c_240852,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_642]) ).
tcf(c_240853,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_29 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_685,c_642]) ).
tcf(c_240854,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_642]) ).
tcf(c_240855,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_27 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_665,c_642]) ).
tcf(c_240856,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_655,c_642]) ).
tcf(c_240974,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_636,c_644]) ).
tcf(c_240975,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_632,c_644]) ).
tcf(c_240976,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_644]) ).
tcf(c_240977,plain,
( ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_240978,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(sk_c10)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_644]) ).
tcf(c_240979,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_105,c_644]) ).
tcf(c_240980,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238983,c_644]) ).
tcf(c_240981,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238951,c_644]) ).
tcf(c_240982,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238938,c_644]) ).
tcf(c_240983,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238937,c_644]) ).
tcf(c_240984,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238903,c_644]) ).
tcf(c_240985,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238895,c_644]) ).
tcf(c_240986,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238883,c_644]) ).
tcf(c_240987,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_667,c_644]) ).
tcf(c_240988,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_664,c_644]) ).
tcf(c_240989,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_657,c_644]) ).
tcf(c_240990,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_644]) ).
tcf(c_240991,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_240977,c_64051]) ).
tcf(c_240995,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_29 )
| ( sk_c11 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_240976,c_641]) ).
tcf(c_241002,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_240974,c_635]) ).
tcf(c_241110,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_636,c_645]) ).
tcf(c_241111,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_632,c_645]) ).
tcf(c_241112,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_640,c_645]) ).
tcf(c_241113,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_645]) ).
tcf(c_241114,plain,
( ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_645]) ).
tcf(c_241115,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105,c_645]) ).
tcf(c_241116,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238983,c_645]) ).
tcf(c_241117,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238951,c_645]) ).
tcf(c_241118,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238938,c_645]) ).
tcf(c_241119,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238937,c_645]) ).
tcf(c_241120,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238903,c_645]) ).
tcf(c_241121,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238895,c_645]) ).
tcf(c_241122,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_238883,c_645]) ).
tcf(c_241123,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_667,c_645]) ).
tcf(c_241124,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_664,c_645]) ).
tcf(c_241127,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_241113,c_64051]) ).
tcf(c_241131,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_241112,c_641]) ).
tcf(c_241138,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_241110,c_635]) ).
tcf(c_241228,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_17 )
| ( inverse(sk_c2) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_629,c_646]) ).
tcf(c_241229,plain,
( ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_646]) ).
tcf(c_241230,plain,
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c9)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_646]) ).
tcf(c_241231,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c9)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_105,c_646]) ).
tcf(c_241232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_697,c_646]) ).
tcf(c_241233,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_696,c_646]) ).
tcf(c_241234,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_695,c_646]) ).
tcf(c_241235,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_694,c_646]) ).
tcf(c_241236,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_693,c_646]) ).
tcf(c_241237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_691,c_646]) ).
tcf(c_241238,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_685,c_646]) ).
tcf(c_241239,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_675,c_646]) ).
tcf(c_241240,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_665,c_646]) ).
tcf(c_241241,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_655,c_646]) ).
tcf(c_241242,plain,
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_241229,c_64051]) ).
tcf(c_241246,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_27 )
| ( sk_c10 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_241228,c_639]) ).
tcf(c_241338,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_627,c_647]) ).
tcf(c_241339,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_647]) ).
tcf(c_241340,plain,
( ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_647]) ).
tcf(c_241341,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_647]) ).
tcf(c_241342,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c11)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_105,c_647]) ).
tcf(c_241343,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_687,c_647]) ).
tcf(c_241344,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_686,c_647]) ).
tcf(c_241345,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_684,c_647]) ).
tcf(c_241346,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_683,c_647]) ).
tcf(c_241347,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_681,c_647]) ).
tcf(c_241348,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_677,c_647]) ).
tcf(c_241349,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_676,c_647]) ).
tcf(c_241350,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_674,c_647]) ).
tcf(c_241351,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_673,c_647]) ).
tcf(c_241352,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_671,c_647]) ).
tcf(c_241353,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_666,c_647]) ).
tcf(c_241354,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_663,c_647]) ).
tcf(c_241355,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_661,c_647]) ).
tcf(c_241359,plain,
( ~ iPr_def_10
| ( sk_c11 != identity )
| ( sk_c10 != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_241340,c_64051]) ).
tcf(c_241363,plain,
( ~ iPr_def_10
| ( sk_c11 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_241339,c_637]) ).
tcf(c_241470,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(X0) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_643]) ).
tcf(c_241471,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(X0))) != identity )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(inverse(inverse(X0)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_104,c_643]) ).
tcf(c_241472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_14
| ( multiply(inverse(X2),sk_c10) != sk_c11 )
| ( multiply(X2,inverse(X2)) != sk_c11 )
| ( inverse(inverse(multiply(X0,X1))) != inverse(X2) )
| ( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_105,c_643]) ).
tcf(c_241473,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c3) )
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c11 )
| ( multiply(inverse(sk_c3),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_643]) ).
tcf(c_241474,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c4) )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_635,c_643]) ).
tcf(c_241475,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(X0,iPr_def_21) != inverse(X0) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_633,c_643]) ).
tcf(c_241476,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_631,c_643]) ).
tcf(c_241477,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c6) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c11 )
| ( multiply(inverse(sk_c6),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_630,c_643]) ).
tcf(c_241478,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c1) )
| ( multiply(X0,iPr_def_29) != inverse(X0) )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c11 )
| ( multiply(inverse(sk_c1),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_641,c_643]) ).
tcf(c_241479,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(sk_c2) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c11 )
| ( multiply(inverse(sk_c2),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_639,c_643]) ).
tcf(c_241480,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(identity) )
| ( multiply(X0,identity) != inverse(X0) )
| ( multiply(identity,inverse(identity)) != sk_c11 )
| ( multiply(inverse(identity),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64051,c_643]) ).
tcf(c_241481,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(X0) != identity )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_241470,c_64051]) ).
tcf(c_241486,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(identity,identity) != sk_c11 )
| ( multiply(identity,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != identity )
| ( multiply(X0,identity) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241480,c_64051]) ).
tcf(c_241492,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_27,sk_c10) != sk_c11 )
| ( multiply(sk_c2,iPr_def_27) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_27 )
| ( multiply(X0,iPr_def_27) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241479,c_639]) ).
tcf(c_241498,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_29,sk_c10) != sk_c11 )
| ( multiply(sk_c1,iPr_def_29) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_29 )
| ( multiply(X0,iPr_def_29) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241478,c_641]) ).
tcf(c_241504,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_18,sk_c10) != sk_c11 )
| ( multiply(sk_c6,iPr_def_18) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_18 )
| ( multiply(X0,iPr_def_18) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241477,c_630]) ).
tcf(c_241510,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_19,sk_c10) != sk_c11 )
| ( multiply(sk_c7,iPr_def_19) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_19 )
| ( multiply(X0,iPr_def_19) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241476,c_631]) ).
tcf(c_241516,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_21,sk_c10) != sk_c11 )
| ( multiply(sk_c5,iPr_def_21) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_21 )
| ( multiply(X0,iPr_def_21) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241475,c_633]) ).
tcf(c_241522,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_23,sk_c10) != sk_c11 )
| ( multiply(sk_c4,iPr_def_23) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_23 )
| ( multiply(X0,iPr_def_23) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241474,c_635]) ).
tcf(c_241528,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( multiply(iPr_def_25,sk_c10) != sk_c11 )
| ( multiply(sk_c3,iPr_def_25) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_25 )
| ( multiply(X0,iPr_def_25) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_241473,c_637]) ).
tcf(c_241584,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_239013,c_645]) ).
tcf(c_241585,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239013,c_644]) ).
tcf(c_241590,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239013,c_238895]) ).
tcf(c_241592,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239013,c_640]) ).
tcf(c_241593,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239013,c_636]) ).
tcf(c_241594,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239013,c_632]) ).
tcf(c_241596,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_627]) ).
tcf(c_241638,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_239024,c_645]) ).
tcf(c_241639,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239024,c_644]) ).
tcf(c_241643,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239024,c_238903]) ).
tcf(c_241646,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239024,c_640]) ).
tcf(c_241647,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239024,c_636]) ).
tcf(c_241648,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_632]) ).
tcf(c_241650,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_627]) ).
tcf(c_241695,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_33896,c_105]) ).
tcf(c_241710,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_239153,c_645]) ).
tcf(c_241711,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239153,c_644]) ).
tcf(c_241713,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239153,c_238938]) ).
tcf(c_241714,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239153,c_238937]) ).
tcf(c_241718,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239153,c_640]) ).
tcf(c_241719,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239153,c_636]) ).
tcf(c_241720,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_632]) ).
tcf(c_241722,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_627]) ).
tcf(c_241772,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_239154,c_645]) ).
tcf(c_241773,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239154,c_644]) ).
tcf(c_241775,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239154,c_238938]) ).
tcf(c_241780,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239154,c_640]) ).
tcf(c_241781,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239154,c_636]) ).
tcf(c_241782,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_632]) ).
tcf(c_241784,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_627]) ).
tcf(c_241835,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239239,c_647]) ).
tcf(c_241836,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239239,c_687]) ).
tcf(c_241837,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239239,c_686]) ).
tcf(c_241838,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239239,c_684]) ).
tcf(c_241839,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239239,c_683]) ).
tcf(c_241840,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239239,c_681]) ).
tcf(c_241842,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239239,c_638]) ).
tcf(c_241846,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239239,c_627]) ).
tcf(c_241893,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239300,c_647]) ).
tcf(c_241894,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239300,c_687]) ).
tcf(c_241895,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239300,c_686]) ).
tcf(c_241896,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239300,c_684]) ).
tcf(c_241897,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239300,c_683]) ).
tcf(c_241898,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239300,c_681]) ).
tcf(c_241900,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239300,c_638]) ).
tcf(c_241904,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239300,c_627]) ).
tcf(c_241992,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239608,c_239300]) ).
tcf(c_241993,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239608,c_239239]) ).
tcf(c_241994,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239608,c_647]) ).
tcf(c_242001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239608,c_638]) ).
tcf(c_242005,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239608,c_627]) ).
tcf(c_242042,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239642,c_239608]) ).
tcf(c_242043,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239642,c_239300]) ).
tcf(c_242044,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239642,c_239239]) ).
tcf(c_242045,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239642,c_647]) ).
tcf(c_242046,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239642,c_687]) ).
tcf(c_242047,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239642,c_686]) ).
tcf(c_242048,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239642,c_684]) ).
tcf(c_242049,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239642,c_683]) ).
tcf(c_242050,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239642,c_681]) ).
tcf(c_242051,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239642,c_677]) ).
tcf(c_242052,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239642,c_676]) ).
tcf(c_242053,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239642,c_674]) ).
tcf(c_242054,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239642,c_673]) ).
tcf(c_242055,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239642,c_671]) ).
tcf(c_242057,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239642,c_638]) ).
tcf(c_242060,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239642,c_627]) ).
tcf(c_242173,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239714,c_239642]) ).
tcf(c_242174,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239714,c_239300]) ).
tcf(c_242176,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_29) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239714,c_647]) ).
tcf(c_242183,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_29) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239714,c_638]) ).
tcf(c_242187,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239714,c_627]) ).
tcf(c_242240,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239747,c_239714]) ).
tcf(c_242241,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239747,c_239642]) ).
tcf(c_242242,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239747,c_239608]) ).
tcf(c_242243,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239747,c_239300]) ).
tcf(c_242244,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239747,c_239239]) ).
tcf(c_242245,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239747,c_647]) ).
tcf(c_242246,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239747,c_687]) ).
tcf(c_242247,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239747,c_686]) ).
tcf(c_242248,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239747,c_684]) ).
tcf(c_242249,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239747,c_683]) ).
tcf(c_242250,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239747,c_681]) ).
tcf(c_242251,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239747,c_677]) ).
tcf(c_242252,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239747,c_676]) ).
tcf(c_242253,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239747,c_674]) ).
tcf(c_242254,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239747,c_673]) ).
tcf(c_242255,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239747,c_671]) ).
tcf(c_242257,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239747,c_638]) ).
tcf(c_242260,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239747,c_627]) ).
tcf(c_242376,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239817,c_239154]) ).
tcf(c_242377,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239817,c_239153]) ).
tcf(c_242378,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239817,c_239024]) ).
tcf(c_242379,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239817,c_239013]) ).
tcf(c_242380,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_239817,c_645]) ).
tcf(c_242381,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239817,c_644]) ).
tcf(c_242382,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239817,c_238983]) ).
tcf(c_242383,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239817,c_238951]) ).
tcf(c_242384,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239817,c_238938]) ).
tcf(c_242385,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239817,c_238937]) ).
tcf(c_242388,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239817,c_238883]) ).
tcf(c_242389,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239817,c_667]) ).
tcf(c_242390,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239817,c_664]) ).
tcf(c_242391,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239817,c_640]) ).
tcf(c_242392,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239817,c_636]) ).
tcf(c_242393,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_632]) ).
tcf(c_242395,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239817,c_627]) ).
tcf(c_242500,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239891,c_239747]) ).
tcf(c_242501,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239891,c_239714]) ).
tcf(c_242502,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239891,c_239642]) ).
tcf(c_242503,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239891,c_239608]) ).
tcf(c_242504,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239891,c_239300]) ).
tcf(c_242505,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239891,c_239239]) ).
tcf(c_242506,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239891,c_647]) ).
tcf(c_242507,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239891,c_687]) ).
tcf(c_242508,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239891,c_686]) ).
tcf(c_242509,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239891,c_684]) ).
tcf(c_242510,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239891,c_683]) ).
tcf(c_242511,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239891,c_681]) ).
tcf(c_242512,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239891,c_677]) ).
tcf(c_242513,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239891,c_676]) ).
tcf(c_242514,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239891,c_674]) ).
tcf(c_242515,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239891,c_673]) ).
tcf(c_242516,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239891,c_671]) ).
tcf(c_242517,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239891,c_638]) ).
tcf(c_242520,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239891,c_627]) ).
tcf(c_242632,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239969,c_239817]) ).
tcf(c_242633,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239969,c_239154]) ).
tcf(c_242634,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239969,c_239153]) ).
tcf(c_242635,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239969,c_239024]) ).
tcf(c_242636,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239969,c_239013]) ).
tcf(c_242637,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_239969,c_645]) ).
tcf(c_242638,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239969,c_644]) ).
tcf(c_242639,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239969,c_238983]) ).
tcf(c_242645,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_239969,c_238883]) ).
tcf(c_242646,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239969,c_667]) ).
tcf(c_242647,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239969,c_664]) ).
tcf(c_242648,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239969,c_640]) ).
tcf(c_242649,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239969,c_636]) ).
tcf(c_242650,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_632]) ).
tcf(c_242651,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_627]) ).
tcf(c_242769,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_240132,c_646]) ).
tcf(c_242770,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240132,c_642]) ).
tcf(c_242771,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240132,c_695]) ).
tcf(c_242772,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_240132,c_685]) ).
tcf(c_242773,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_240132,c_675]) ).
tcf(c_242774,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240132,c_665]) ).
tcf(c_242775,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240132,c_629]) ).
tcf(c_242776,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240132,c_655]) ).
tcf(c_242823,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_240188,c_646]) ).
tcf(c_242824,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_240188,c_642]) ).
tcf(c_242825,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240188,c_695]) ).
tcf(c_242826,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_240188,c_685]) ).
tcf(c_242827,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_240188,c_675]) ).
tcf(c_242828,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240188,c_665]) ).
tcf(c_242829,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240188,c_629]) ).
tcf(c_242830,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240188,c_655]) ).
tcf(c_242891,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238924,c_643]) ).
tcf(c_242903,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238925,c_643]) ).
tcf(c_242915,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238961,c_643]) ).
tcf(c_242933,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_238915]) ).
tcf(c_242934,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_238915]) ).
tcf(c_242935,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_238915]) ).
tcf(c_242936,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_238915]) ).
tcf(c_242937,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_238915]) ).
tcf(c_242938,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_238915]) ).
tcf(c_242939,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_676,c_238915]) ).
tcf(c_242940,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_238915]) ).
tcf(c_242941,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_673,c_238915]) ).
tcf(c_242942,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_238915]) ).
tcf(c_242946,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_656,c_238915]) ).
tcf(c_242947,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_653,c_238915]) ).
tcf(c_242948,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_651,c_238915]) ).
tcf(c_242949,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238915,c_105]) ).
tcf(c_243031,plain,
multiply(iPr_def_27,iPr_def_17) = sk_c9,
inference(superposition,[status(thm)],[c_629,c_240423]) ).
tcf(c_243032,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240423,c_105]) ).
tcf(c_243033,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_243031,c_105]) ).
tcf(c_243038,plain,
multiply(iPr_def_29,iPr_def_28) = sk_c10,
inference(superposition,[status(thm)],[c_640,c_240424]) ).
tcf(c_243039,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_29,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240424,c_105]) ).
tcf(c_243048,plain,
! [X0: $i] : multiply(iPr_def_29,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_243038,c_105]) ).
tcf(c_243326,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_690,c_240425]) ).
tcf(c_243327,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_688,c_240425]) ).
tcf(c_243328,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_680,c_240425]) ).
tcf(c_243329,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_678,c_240425]) ).
tcf(c_243330,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_670,c_240425]) ).
tcf(c_243331,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_668,c_240425]) ).
tcf(c_243332,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_660,c_240425]) ).
tcf(c_243333,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_658,c_240425]) ).
tcf(c_243334,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_650,c_240425]) ).
tcf(c_243335,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_648,c_240425]) ).
tcf(c_243336,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240425,c_105]) ).
tcf(c_243371,plain,
multiply(iPr_def_19,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_628,c_240426]) ).
tcf(c_243372,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240426,c_105]) ).
tcf(c_243392,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_243371,c_105]) ).
tcf(c_243395,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_634,c_240427]) ).
tcf(c_243396,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240427,c_105]) ).
tcf(c_243478,plain,
! [X0: $i] :
( ( iPr_def_15 = sk_c9 )
| ( X0 = iPr_def_23 )
| ( X0 != sk_c10 ) ),
inference(resolution,[status(thm)],[c_699,c_694]) ).
tcf(c_243479,plain,
( ( iPr_def_15 = sk_c9 )
| ( sk_c10 = iPr_def_23 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_243478]) ).
tcf(c_243490,plain,
! [X0: $i] :
( ( iPr_def_15 = sk_c9 )
| ( X0 = iPr_def_26 )
| ( X0 != sk_c10 ) ),
inference(resolution,[status(thm)],[c_699,c_697]) ).
tcf(c_243491,plain,
( ( iPr_def_15 = sk_c9 )
| ( sk_c10 = iPr_def_26 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_243490]) ).
tcf(c_243564,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238984,c_643]) ).
tcf(c_243576,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239199,c_643]) ).
tcf(c_243588,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239241,c_643]) ).
tcf(c_243600,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239550,c_643]) ).
tcf(c_243612,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239611,c_643]) ).
tcf(c_243624,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240027,c_643]) ).
tcf(c_243636,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240136,c_643]) ).
tcf(c_243643,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c10 = iPr_def_26 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_240847,c_704,c_642,c_10040,c_16144,c_142273,c_243491]) ).
tcf(c_243644,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( sk_c10 = iPr_def_26 ) ),
inference(renaming,[status(thm)],[c_243643]) ).
tcf(c_243670,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_238916]) ).
tcf(c_243671,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_238916]) ).
tcf(c_243672,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_238916]) ).
tcf(c_243674,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238916,c_105]) ).
tcf(c_243685,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_243395,c_105]) ).
tcf(c_243686,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_636,c_240428]) ).
tcf(c_243687,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240428,c_105]) ).
tcf(c_243688,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_243686,c_105]) ).
tcf(c_243689,plain,
multiply(iPr_def_25,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_240429]) ).
tcf(c_243690,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_240429,c_105]) ).
tcf(c_243693,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_243689,c_105]) ).
tcf(c_243699,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_240795,c_243031]) ).
tcf(c_243700,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_240795,c_240423]) ).
tcf(c_243701,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240795,c_33896]) ).
tcf(c_243702,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_240795,c_239331]) ).
tcf(c_243720,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_241590,c_243031]) ).
tcf(c_243721,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241590,c_240423]) ).
tcf(c_243722,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241590,c_33896]) ).
tcf(c_243723,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_241590,c_239331]) ).
tcf(c_243739,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_241643,c_243031]) ).
tcf(c_243740,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241643,c_240423]) ).
tcf(c_243741,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241643,c_33896]) ).
tcf(c_243742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_241643,c_239331]) ).
tcf(c_243755,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c11 = iPr_def_25 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_240848,c_642,c_1550,c_2333,c_9886,c_10812,c_16145,c_199094]) ).
tcf(c_243756,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( sk_c11 = iPr_def_25 ) ),
inference(renaming,[status(thm)],[c_243755]) ).
tcf(c_243788,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c10 = iPr_def_23 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_240850,c_704,c_642,c_9793,c_16146,c_146274,c_243479]) ).
tcf(c_243789,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( sk_c10 = iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_243788]) ).
tcf(c_243798,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c11 = iPr_def_22 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_240851,c_642,c_1550,c_2333,c_9697,c_10526,c_16147,c_199292]) ).
tcf(c_243799,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( sk_c11 = iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_243798]) ).
tcf(c_243808,plain,
( iPr_def_14
| iPr_def_10
| ( sk_c11 = iPr_def_20 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_240852,c_16818]) ).
tcf(c_243809,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_243808]) ).
tcf(c_243818,plain,
( iPr_def_14
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_242770,c_642,c_1120,c_1550,c_1839,c_2333,c_2386,c_16138,c_17214]) ).
tcf(c_243819,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_243818]) ).
tcf(c_243830,plain,
( iPr_def_14
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_242824,c_642,c_1032,c_1150,c_1483,c_1550,c_1944,c_2333,c_2446,c_2841,c_3817]) ).
tcf(c_243831,plain,
( iPr_def_14
| iPr_def_12
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_243830]) ).
tcf(c_243858,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_238917]) ).
tcf(c_243859,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_238917]) ).
tcf(c_243860,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_238917]) ).
tcf(c_243862,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238917,c_105]) ).
tcf(c_243896,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_238936]) ).
tcf(c_243897,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_238936]) ).
tcf(c_243898,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_657,c_238936]) ).
tcf(c_243900,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238936,c_105]) ).
tcf(c_243927,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_238950]) ).
tcf(c_243928,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_238950]) ).
tcf(c_243929,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_238950]) ).
tcf(c_243930,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_238950]) ).
tcf(c_243931,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_238950]) ).
tcf(c_243932,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_238950]) ).
tcf(c_243933,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_676,c_238950]) ).
tcf(c_243934,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_674,c_238950]) ).
tcf(c_243935,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_673,c_238950]) ).
tcf(c_243936,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_238950]) ).
tcf(c_243943,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238950,c_105]) ).
tcf(c_243988,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_238997]) ).
tcf(c_243989,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239817,c_238997]) ).
tcf(c_243995,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_238997]) ).
tcf(c_244001,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_238997]) ).
tcf(c_244002,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_238997]) ).
tcf(c_244005,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238997,c_105]) ).
tcf(c_244032,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_239026]) ).
tcf(c_244033,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239817,c_239026]) ).
tcf(c_244039,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239026]) ).
tcf(c_244045,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_239026]) ).
tcf(c_244046,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_664,c_239026]) ).
tcf(c_244049,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239026,c_105]) ).
tcf(c_244096,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239035,c_105]) ).
tcf(c_244097,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239035,c_240426]) ).
tcf(c_244098,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_244097,c_243371]) ).
tcf(c_244107,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239036,c_105]) ).
tcf(c_244108,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239036,c_240426]) ).
tcf(c_244109,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_244108,c_243371]) ).
tcf(c_244161,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_241714,c_243031]) ).
tcf(c_244162,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241714,c_240423]) ).
tcf(c_244163,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241714,c_33896]) ).
tcf(c_244164,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_241714,c_239331]) ).
tcf(c_244192,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_241775,c_243031]) ).
tcf(c_244193,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241775,c_240423]) ).
tcf(c_244194,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241775,c_33896]) ).
tcf(c_244195,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_241775,c_239331]) ).
tcf(c_244213,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_241993,c_243038]) ).
tcf(c_244214,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241993,c_240424]) ).
tcf(c_244215,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_241993,c_239330]) ).
tcf(c_244229,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_242174,c_243038]) ).
tcf(c_244230,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242174,c_240424]) ).
tcf(c_244231,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_242174,c_239330]) ).
tcf(c_244256,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239037,c_105]) ).
tcf(c_244257,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239037,c_240426]) ).
tcf(c_244258,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244257,c_243371]) ).
tcf(c_244267,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239038,c_105]) ).
tcf(c_244268,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239038,c_240426]) ).
tcf(c_244269,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244268,c_243371]) ).
tcf(c_244278,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_239047,c_105]) ).
tcf(c_244279,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239047,c_240423]) ).
tcf(c_244280,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244279,c_243031]) ).
tcf(c_244289,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_239050]) ).
tcf(c_244290,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_239050]) ).
tcf(c_244296,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_239050]) ).
tcf(c_244302,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_239050]) ).
tcf(c_244303,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_239050]) ).
tcf(c_244304,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_239050]) ).
tcf(c_244305,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_239050]) ).
tcf(c_244306,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239050,c_645]) ).
tcf(c_244307,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239050,c_644]) ).
tcf(c_244308,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239050,c_105]) ).
tcf(c_244403,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_239051]) ).
tcf(c_244404,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_239051]) ).
tcf(c_244410,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_239051]) ).
tcf(c_244416,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_239051]) ).
tcf(c_244417,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_239051]) ).
tcf(c_244418,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_239051]) ).
tcf(c_244419,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_239051]) ).
tcf(c_244420,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_645]) ).
tcf(c_244421,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239051,c_644]) ).
tcf(c_244422,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239051,c_105]) ).
tcf(c_244484,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_239052]) ).
tcf(c_244485,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_239052]) ).
tcf(c_244486,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_239052]) ).
tcf(c_244487,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_239052]) ).
tcf(c_244489,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239052,c_644]) ).
tcf(c_244490,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239052,c_105]) ).
tcf(c_244524,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_667,c_239053]) ).
tcf(c_244525,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_664,c_239053]) ).
tcf(c_244526,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_657,c_239053]) ).
tcf(c_244527,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_654,c_239053]) ).
tcf(c_244529,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239053,c_644]) ).
tcf(c_244530,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239053,c_105]) ).
tcf(c_244573,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239054,c_105]) ).
tcf(c_244592,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239055,c_105]) ).
tcf(c_244599,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239068,c_105]) ).
tcf(c_244600,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239068,c_240427]) ).
tcf(c_244608,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239069,c_105]) ).
tcf(c_244609,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239069,c_240427]) ).
tcf(c_244617,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239070,c_105]) ).
tcf(c_244618,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239070,c_240427]) ).
tcf(c_244626,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_242241,c_243038]) ).
tcf(c_244627,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242241,c_240424]) ).
tcf(c_244628,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_242241,c_239330]) ).
tcf(c_244646,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_242500,c_243038]) ).
tcf(c_244647,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242500,c_240424]) ).
tcf(c_244648,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_242500,c_239330]) ).
tcf(c_244676,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_242502,c_243038]) ).
tcf(c_244677,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242502,c_240424]) ).
tcf(c_244678,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_242502,c_239330]) ).
tcf(c_244693,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_242632,c_243038]) ).
tcf(c_244694,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242632,c_240424]) ).
tcf(c_244695,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_242632,c_239330]) ).
tcf(c_244757,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239071,c_105]) ).
tcf(c_244758,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239071,c_240427]) ).
tcf(c_244766,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239080,c_105]) ).
tcf(c_244767,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239080,c_240428]) ).
tcf(c_244768,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244767,c_243686]) ).
tcf(c_244777,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239081,c_105]) ).
tcf(c_244778,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239081,c_240428]) ).
tcf(c_244779,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244778,c_243686]) ).
tcf(c_244788,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239086,c_105]) ).
tcf(c_244789,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239086,c_240429]) ).
tcf(c_244790,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_244789,c_243689]) ).
tcf(c_244799,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239087,c_105]) ).
tcf(c_244800,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239087,c_240429]) ).
tcf(c_244801,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_244800,c_243689]) ).
tcf(c_244810,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239088,c_105]) ).
tcf(c_244811,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239088,c_240429]) ).
tcf(c_244812,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244811,c_243689]) ).
tcf(c_244821,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239089,c_105]) ).
tcf(c_244822,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239089,c_240429]) ).
tcf(c_244823,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244822,c_243689]) ).
tcf(c_244832,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239090,c_105]) ).
tcf(c_244833,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239090,c_240429]) ).
tcf(c_244834,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_244833,c_243689]) ).
tcf(c_244845,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239101,c_105]) ).
tcf(c_244846,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239101,c_240424]) ).
tcf(c_244854,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239102,c_105]) ).
tcf(c_244855,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239102,c_240424]) ).
tcf(c_244863,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241775,c_239117]) ).
tcf(c_244864,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241714,c_239117]) ).
tcf(c_244865,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241643,c_239117]) ).
tcf(c_244866,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241590,c_239117]) ).
tcf(c_244867,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_240795,c_239117]) ).
tcf(c_244868,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239117,c_105]) ).
tcf(c_244869,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239117,c_240424]) ).
tcf(c_244870,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_244869,c_243038]) ).
tcf(c_244894,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241775,c_239118]) ).
tcf(c_244895,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241714,c_239118]) ).
tcf(c_244896,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241643,c_239118]) ).
tcf(c_244897,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241590,c_239118]) ).
tcf(c_244898,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_240795,c_239118]) ).
tcf(c_244899,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239118,c_105]) ).
tcf(c_244900,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239118,c_240428]) ).
tcf(c_245011,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_692,c_239119]) ).
tcf(c_245012,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_689,c_239119]) ).
tcf(c_245013,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_682,c_239119]) ).
tcf(c_245014,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_239119]) ).
tcf(c_245015,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_672,c_239119]) ).
tcf(c_245016,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_239119]) ).
tcf(c_245021,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241775,c_239119]) ).
tcf(c_245022,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241714,c_239119]) ).
tcf(c_245023,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241643,c_239119]) ).
tcf(c_245024,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241590,c_239119]) ).
tcf(c_245025,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_240795,c_239119]) ).
tcf(c_245026,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239119,c_105]) ).
tcf(c_245066,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241775,c_239121]) ).
tcf(c_245067,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241714,c_239121]) ).
tcf(c_245068,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241643,c_239121]) ).
tcf(c_245069,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241590,c_239121]) ).
tcf(c_245070,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240795,c_239121]) ).
tcf(c_245080,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_239121]) ).
tcf(c_245094,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239121,c_105]) ).
tcf(c_245095,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239121,c_647]) ).
tcf(c_245123,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_239141,c_105]) ).
tcf(c_245124,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239141,c_240423]) ).
tcf(c_245125,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_245124,c_243031]) ).
tcf(c_245134,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239152,c_105]) ).
tcf(c_245135,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239152,c_240429]) ).
tcf(c_245136,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_245135,c_243689]) ).
tcf(c_245145,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_239155]) ).
tcf(c_245146,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239817,c_239155]) ).
tcf(c_245152,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239155]) ).
tcf(c_245158,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_239155]) ).
tcf(c_245162,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239155,c_105]) ).
tcf(c_245181,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241775,c_239172]) ).
tcf(c_245182,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241714,c_239172]) ).
tcf(c_245183,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241643,c_239172]) ).
tcf(c_245184,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241590,c_239172]) ).
tcf(c_245185,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_240795,c_239172]) ).
tcf(c_245186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239172,c_105]) ).
tcf(c_245187,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239172,c_240424]) ).
tcf(c_245188,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_245187,c_243038]) ).
tcf(c_245212,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241775,c_239173]) ).
tcf(c_245213,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241714,c_239173]) ).
tcf(c_245214,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241643,c_239173]) ).
tcf(c_245215,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_241590,c_239173]) ).
tcf(c_245216,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_240795,c_239173]) ).
tcf(c_245217,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239173,c_105]) ).
tcf(c_245218,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239173,c_240428]) ).
tcf(c_245245,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_692,c_239174]) ).
tcf(c_245246,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_689,c_239174]) ).
tcf(c_245247,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_682,c_239174]) ).
tcf(c_245248,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_239174]) ).
tcf(c_245249,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_672,c_239174]) ).
tcf(c_245250,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_239174]) ).
tcf(c_245255,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241775,c_239174]) ).
tcf(c_245256,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241714,c_239174]) ).
tcf(c_245257,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241643,c_239174]) ).
tcf(c_245258,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_241590,c_239174]) ).
tcf(c_245259,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_240795,c_239174]) ).
tcf(c_245260,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239174,c_105]) ).
tcf(c_245324,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241775,c_239176]) ).
tcf(c_245325,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241714,c_239176]) ).
tcf(c_245326,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241643,c_239176]) ).
tcf(c_245327,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_241590,c_239176]) ).
tcf(c_245328,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240795,c_239176]) ).
tcf(c_245336,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_239176]) ).
tcf(c_245341,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_239176]) ).
tcf(c_245352,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239176,c_105]) ).
tcf(c_245353,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239176,c_647]) ).
tcf(c_245400,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239215,c_105]) ).
tcf(c_245401,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239215,c_240427]) ).
tcf(c_245402,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_245401,c_243395]) ).
tcf(c_245411,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_239216]) ).
tcf(c_245412,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_239216]) ).
tcf(c_245413,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_239216]) ).
tcf(c_245414,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_239216]) ).
tcf(c_245415,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_239216]) ).
tcf(c_245418,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_239216]) ).
tcf(c_245419,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_239216]) ).
tcf(c_245420,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_239216]) ).
tcf(c_245421,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_239216]) ).
tcf(c_245428,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_645]) ).
tcf(c_245429,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239216,c_644]) ).
tcf(c_245430,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239216,c_105]) ).
tcf(c_245523,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239217,c_105]) ).
tcf(c_245524,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239217,c_240426]) ).
tcf(c_245708,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239258,c_105]) ).
tcf(c_245709,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239258,c_240429]) ).
tcf(c_245710,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_245709,c_243689]) ).
tcf(c_245723,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_239262]) ).
tcf(c_245724,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_239262]) ).
tcf(c_245725,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_239262]) ).
tcf(c_245726,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_239262]) ).
tcf(c_245727,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_239262]) ).
tcf(c_245728,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239262]) ).
tcf(c_245729,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239262]) ).
tcf(c_245730,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239262]) ).
tcf(c_245731,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239262]) ).
tcf(c_245732,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239262]) ).
tcf(c_245733,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239262]) ).
tcf(c_245738,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239262,c_105]) ).
tcf(c_245805,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239301,c_105]) ).
tcf(c_245806,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239301,c_240427]) ).
tcf(c_245807,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_245806,c_243395]) ).
tcf(c_245818,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_239302]) ).
tcf(c_245819,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_239302]) ).
tcf(c_245820,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_239302]) ).
tcf(c_245821,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_239302]) ).
tcf(c_245822,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_239302]) ).
tcf(c_245825,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_239302]) ).
tcf(c_245826,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_239302]) ).
tcf(c_245827,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_239302]) ).
tcf(c_245828,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_239302]) ).
tcf(c_245835,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239302,c_645]) ).
tcf(c_245836,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239302,c_644]) ).
tcf(c_245837,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239302,c_105]) ).
tcf(c_245964,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239303,c_105]) ).
tcf(c_245965,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239303,c_240426]) ).
tcf(c_245973,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239344,c_105]) ).
tcf(c_245974,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239344,c_240429]) ).
tcf(c_245975,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_245974,c_243689]) ).
tcf(c_245989,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_239348]) ).
tcf(c_245990,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_239348]) ).
tcf(c_245991,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_239348]) ).
tcf(c_245992,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_239348]) ).
tcf(c_245993,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_239348]) ).
tcf(c_245994,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239348]) ).
tcf(c_245995,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239348]) ).
tcf(c_245996,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239348]) ).
tcf(c_245997,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239348]) ).
tcf(c_245998,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239348]) ).
tcf(c_245999,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239348]) ).
tcf(c_246004,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239348,c_105]) ).
tcf(c_246086,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239391,c_105]) ).
tcf(c_246087,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239391,c_240429]) ).
tcf(c_246088,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_246087,c_243689]) ).
tcf(c_246108,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239395]) ).
tcf(c_246118,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239395,c_105]) ).
tcf(c_246128,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_239437,c_105]) ).
tcf(c_246129,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239437,c_240423]) ).
tcf(c_246130,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_246129,c_243031]) ).
tcf(c_246143,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239455,c_105]) ).
tcf(c_246144,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239455,c_240429]) ).
tcf(c_246145,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_246144,c_243689]) ).
tcf(c_246158,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_239459]) ).
tcf(c_246159,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_239459]) ).
tcf(c_246160,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_239459]) ).
tcf(c_246161,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_239459]) ).
tcf(c_246162,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_239459]) ).
tcf(c_246163,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239459]) ).
tcf(c_246164,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239459]) ).
tcf(c_246165,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239459]) ).
tcf(c_246166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239459]) ).
tcf(c_246167,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239459]) ).
tcf(c_246168,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239459]) ).
tcf(c_246173,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239459,c_105]) ).
tcf(c_246463,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239500,c_105]) ).
tcf(c_246464,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239500,c_240429]) ).
tcf(c_246465,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_246464,c_243689]) ).
tcf(c_246541,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239504]) ).
tcf(c_246542,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239504]) ).
tcf(c_246543,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239504]) ).
tcf(c_246544,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239504]) ).
tcf(c_246545,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239504]) ).
tcf(c_246546,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239504]) ).
tcf(c_246551,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239504,c_105]) ).
tcf(c_246595,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239577,c_105]) ).
tcf(c_246596,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239577,c_240427]) ).
tcf(c_246597,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_246596,c_243395]) ).
tcf(c_246608,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_239578]) ).
tcf(c_246609,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_239578]) ).
tcf(c_246610,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_239578]) ).
tcf(c_246611,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_239578]) ).
tcf(c_246612,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_239578]) ).
tcf(c_246615,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_239578]) ).
tcf(c_246616,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_239578]) ).
tcf(c_246617,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_239578]) ).
tcf(c_246618,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_239578]) ).
tcf(c_246625,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239578,c_645]) ).
tcf(c_246626,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239578,c_644]) ).
tcf(c_246627,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239578,c_105]) ).
tcf(c_246755,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239579,c_105]) ).
tcf(c_246756,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239579,c_240426]) ).
tcf(c_246770,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239644,c_105]) ).
tcf(c_246771,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239644,c_240429]) ).
tcf(c_246772,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_246771,c_243689]) ).
tcf(c_246785,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_239648]) ).
tcf(c_246786,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_239648]) ).
tcf(c_246787,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_239648]) ).
tcf(c_246788,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_239648]) ).
tcf(c_246789,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_239648]) ).
tcf(c_246790,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239648]) ).
tcf(c_246791,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239648]) ).
tcf(c_246792,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239648]) ).
tcf(c_246793,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239648]) ).
tcf(c_246794,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239648]) ).
tcf(c_246795,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239648]) ).
tcf(c_246806,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239648,c_105]) ).
tcf(c_246846,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_239716,c_105]) ).
tcf(c_246847,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239716,c_240427]) ).
tcf(c_246848,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_246847,c_243395]) ).
tcf(c_246878,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_239717]) ).
tcf(c_246879,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_239717]) ).
tcf(c_246880,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_239717]) ).
tcf(c_246881,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_239717]) ).
tcf(c_246882,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_239717]) ).
tcf(c_246885,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_239717]) ).
tcf(c_246886,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_239717]) ).
tcf(c_246887,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_239717]) ).
tcf(c_246888,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_239717]) ).
tcf(c_246895,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_239717,c_645]) ).
tcf(c_246896,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239717,c_644]) ).
tcf(c_246897,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239717,c_105]) ).
tcf(c_246962,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_239718,c_105]) ).
tcf(c_246963,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239718,c_240426]) ).
tcf(c_246977,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239750,c_105]) ).
tcf(c_246978,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239750,c_240429]) ).
tcf(c_246979,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_246978,c_243689]) ).
tcf(c_247008,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_239754]) ).
tcf(c_247009,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_239754]) ).
tcf(c_247010,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_239754]) ).
tcf(c_247011,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_239754]) ).
tcf(c_247012,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_239754]) ).
tcf(c_247013,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239754]) ).
tcf(c_247014,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239754]) ).
tcf(c_247015,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239754]) ).
tcf(c_247016,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239754]) ).
tcf(c_247017,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239754]) ).
tcf(c_247018,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239754]) ).
tcf(c_247029,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239754,c_105]) ).
tcf(c_247326,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239821,c_105]) ).
tcf(c_247327,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239821,c_240429]) ).
tcf(c_247328,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_247327,c_243689]) ).
tcf(c_247348,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239825]) ).
tcf(c_247349,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239825]) ).
tcf(c_247350,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239825]) ).
tcf(c_247351,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239825]) ).
tcf(c_247352,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239825]) ).
tcf(c_247353,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239825]) ).
tcf(c_247364,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239825,c_105]) ).
tcf(c_247400,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_239872,c_105]) ).
tcf(c_247401,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239872,c_240423]) ).
tcf(c_247402,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 ) ),
inference(light_normalisation,[status(thm)],[c_247401,c_243031]) ).
tcf(c_247426,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239896,c_105]) ).
tcf(c_247427,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239896,c_240429]) ).
tcf(c_247428,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_247427,c_243689]) ).
tcf(c_247443,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239154,c_239900]) ).
tcf(c_247444,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239153,c_239900]) ).
tcf(c_247445,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239024,c_239900]) ).
tcf(c_247446,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239013,c_239900]) ).
tcf(c_247447,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238983,c_239900]) ).
tcf(c_247448,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239900]) ).
tcf(c_247449,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239900]) ).
tcf(c_247450,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239900]) ).
tcf(c_247451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239900]) ).
tcf(c_247452,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239900]) ).
tcf(c_247453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239900]) ).
tcf(c_247464,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239900,c_105]) ).
tcf(c_247538,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239975,c_105]) ).
tcf(c_247539,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239975,c_240429]) ).
tcf(c_247540,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_247539,c_243689]) ).
tcf(c_247567,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238951,c_239979]) ).
tcf(c_247568,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238938,c_239979]) ).
tcf(c_247569,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238937,c_239979]) ).
tcf(c_247570,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238903,c_239979]) ).
tcf(c_247571,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238895,c_239979]) ).
tcf(c_247572,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_238883,c_239979]) ).
tcf(c_247583,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239979,c_105]) ).
tcf(c_247673,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240050,c_105]) ).
tcf(c_247679,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240051,c_105]) ).
tcf(c_247685,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240052,c_105]) ).
tcf(c_247691,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240053,c_105]) ).
tcf(c_247697,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240054,c_105]) ).
tcf(c_247865,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240055,c_105]) ).
tcf(c_247871,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240056,c_105]) ).
tcf(c_247877,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240057,c_105]) ).
tcf(c_247883,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240058,c_105]) ).
tcf(c_247889,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_240090,c_105]) ).
tcf(c_247890,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_240090,c_240427]) ).
tcf(c_247891,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_247890,c_243395]) ).
tcf(c_247904,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_240091]) ).
tcf(c_247905,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_240091]) ).
tcf(c_247906,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_240091]) ).
tcf(c_247907,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_240091]) ).
tcf(c_247908,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_240091]) ).
tcf(c_247911,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_240091]) ).
tcf(c_247912,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_240091]) ).
tcf(c_247913,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_240091]) ).
tcf(c_247914,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_240091]) ).
tcf(c_247921,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_240091,c_645]) ).
tcf(c_247922,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240091,c_644]) ).
tcf(c_247923,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_240091,c_105]) ).
tcf(c_247985,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_240092,c_105]) ).
tcf(c_247986,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_240092,c_240426]) ).
tcf(c_247994,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_240131,c_105]) ).
tcf(c_248000,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240155,c_105]) ).
tcf(c_248001,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240155,c_240423]) ).
tcf(c_248002,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_248001,c_243031]) ).
tcf(c_248011,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_240191,c_105]) ).
tcf(c_248012,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_240191,c_240427]) ).
tcf(c_248013,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_248012,c_243395]) ).
tcf(c_248026,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239969,c_240192]) ).
tcf(c_248027,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239817,c_240192]) ).
tcf(c_248028,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239154,c_240192]) ).
tcf(c_248029,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239153,c_240192]) ).
tcf(c_248030,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239024,c_240192]) ).
tcf(c_248033,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238951,c_240192]) ).
tcf(c_248034,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238938,c_240192]) ).
tcf(c_248035,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238937,c_240192]) ).
tcf(c_248036,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238903,c_240192]) ).
tcf(c_248043,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_240192,c_645]) ).
tcf(c_248044,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240192,c_644]) ).
tcf(c_248045,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_240192,c_105]) ).
tcf(c_248129,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_240193,c_105]) ).
tcf(c_248130,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_240193,c_240426]) ).
tcf(c_248324,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240215,c_105]) ).
tcf(c_248325,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240215,c_240423]) ).
tcf(c_248326,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_248325,c_243031]) ).
tcf(c_248335,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240257,c_105]) ).
tcf(c_248336,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240257,c_240423]) ).
tcf(c_248337,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_248336,c_243031]) ).
tcf(c_248346,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240293,c_105]) ).
tcf(c_248347,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_240293,c_240423]) ).
tcf(c_248348,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_248347,c_243031]) ).
tcf(c_248357,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240328,c_105]) ).
tcf(c_248358,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240328,c_240423]) ).
tcf(c_248359,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_248358,c_243031]) ).
tcf(c_248368,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240370,c_105]) ).
tcf(c_248369,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240370,c_240423]) ).
tcf(c_248370,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_248369,c_243031]) ).
tcf(c_248379,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_242946,c_105]) ).
tcf(c_248386,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_242947,c_105]) ).
tcf(c_248393,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_242948,c_105]) ).
tcf(c_248407,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239969,c_240404]) ).
tcf(c_248408,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239817,c_240404]) ).
tcf(c_248409,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239154,c_240404]) ).
tcf(c_248410,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239153,c_240404]) ).
tcf(c_248411,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239024,c_240404]) ).
tcf(c_248412,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239013,c_240404]) ).
tcf(c_248413,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238983,c_240404]) ).
tcf(c_248414,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238951,c_240404]) ).
tcf(c_248415,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238938,c_240404]) ).
tcf(c_248416,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238937,c_240404]) ).
tcf(c_248417,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238903,c_240404]) ).
tcf(c_248418,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238895,c_240404]) ).
tcf(c_248419,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_238883,c_240404]) ).
tcf(c_248435,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239891,c_240404]) ).
tcf(c_248436,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239747,c_240404]) ).
tcf(c_248437,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239714,c_240404]) ).
tcf(c_248438,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239642,c_240404]) ).
tcf(c_248439,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239608,c_240404]) ).
tcf(c_248440,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239300,c_240404]) ).
tcf(c_248441,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c10,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_239239,c_240404]) ).
tcf(c_248458,plain,
! [X0: $i,X1: $i] : multiply(sk_c10,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_240404,c_105]) ).
tcf(c_248597,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239891,c_240405]) ).
tcf(c_248598,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239747,c_240405]) ).
tcf(c_248599,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239714,c_240405]) ).
tcf(c_248600,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239642,c_240405]) ).
tcf(c_248601,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_29,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239608,c_240405]) ).
tcf(c_248602,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239300,c_240405]) ).
tcf(c_248603,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_239239,c_240405]) ).
tcf(c_248620,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_240405,c_105]) ).
tcf(c_248636,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,sk_c11),
inference(superposition,[status(thm)],[c_627,c_240406]) ).
tcf(c_248637,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_239026,c_240406]) ).
tcf(c_248638,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_238916,c_240406]) ).
tcf(c_248639,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_238997,c_240406]) ).
tcf(c_248640,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_238917,c_240406]) ).
tcf(c_248641,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_239155,c_240406]) ).
tcf(c_248642,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_238936,c_240406]) ).
tcf(c_248643,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239504,c_240406]) ).
tcf(c_248644,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239459,c_240406]) ).
tcf(c_248645,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239395,c_240406]) ).
tcf(c_248646,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239348,c_240406]) ).
tcf(c_248647,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239262,c_240406]) ).
tcf(c_248648,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239979,c_240406]) ).
tcf(c_248649,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239900,c_240406]) ).
tcf(c_248650,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239825,c_240406]) ).
tcf(c_248651,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239754,c_240406]) ).
tcf(c_248652,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239648,c_240406]) ).
tcf(c_248653,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_240404,c_240406]) ).
tcf(c_248658,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239969,c_240406]) ).
tcf(c_248659,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239817,c_240406]) ).
tcf(c_248660,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239154,c_240406]) ).
tcf(c_248661,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239153,c_240406]) ).
tcf(c_248662,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239024,c_240406]) ).
tcf(c_248663,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_239013,c_240406]) ).
tcf(c_248664,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238983,c_240406]) ).
tcf(c_248665,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238951,c_240406]) ).
tcf(c_248666,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238938,c_240406]) ).
tcf(c_248667,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238937,c_240406]) ).
tcf(c_248668,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238903,c_240406]) ).
tcf(c_248669,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238895,c_240406]) ).
tcf(c_248670,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_238883,c_240406]) ).
tcf(c_248675,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_240406,c_105]) ).
tcf(c_248819,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c11),X0) = multiply(sk_c4,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_248636,c_105]) ).
tcf(c_248820,plain,
multiply(iPr_def_23,multiply(iPr_def_24,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_248636,c_240428]) ).
tcf(c_248821,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c11),X0) = multiply(iPr_def_24,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_248819,c_248653]) ).
tcf(c_249016,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_243672,c_105]) ).
tcf(c_249023,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_243860,c_105]) ).
tcf(c_249057,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_243898,c_105]) ).
tcf(c_249070,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_244486,c_105]) ).
tcf(c_249077,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_244487,c_105]) ).
tcf(c_249084,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_244526,c_105]) ).
tcf(c_249091,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_244527,c_105]) ).
tcf(c_249109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_245080,c_105]) ).
tcf(c_249112,plain,
multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,sk_c10),
inference(superposition,[status(thm)],[c_632,c_240407]) ).
tcf(c_249113,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_239054,c_240407]) ).
tcf(c_249114,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_239055,c_240407]) ).
tcf(c_249115,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_239174,c_240407]) ).
tcf(c_249116,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_239119,c_240407]) ).
tcf(c_249135,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_240407,c_105]) ).
tcf(c_249362,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c10),X0) = multiply(sk_c5,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_249112,c_105]) ).
tcf(c_249363,plain,
multiply(iPr_def_21,multiply(iPr_def_22,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_249112,c_240427]) ).
tcf(c_249382,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,sk_c11),
inference(superposition,[status(thm)],[c_627,c_240408]) ).
tcf(c_249383,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_239026,c_240408]) ).
tcf(c_249384,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_238916,c_240408]) ).
tcf(c_249385,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_238997,c_240408]) ).
tcf(c_249386,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_238917,c_240408]) ).
tcf(c_249387,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_239155,c_240408]) ).
tcf(c_249388,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_238936,c_240408]) ).
tcf(c_249389,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239504,c_240408]) ).
tcf(c_249390,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239459,c_240408]) ).
tcf(c_249391,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239395,c_240408]) ).
tcf(c_249392,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239348,c_240408]) ).
tcf(c_249393,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239262,c_240408]) ).
tcf(c_249394,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239979,c_240408]) ).
tcf(c_249395,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239900,c_240408]) ).
tcf(c_249396,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239825,c_240408]) ).
tcf(c_249397,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239754,c_240408]) ).
tcf(c_249398,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239648,c_240408]) ).
tcf(c_249399,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_240404,c_240408]) ).
tcf(c_249404,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239969,c_240408]) ).
tcf(c_249405,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239817,c_240408]) ).
tcf(c_249406,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239154,c_240408]) ).
tcf(c_249407,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239153,c_240408]) ).
tcf(c_249408,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239024,c_240408]) ).
tcf(c_249409,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_239013,c_240408]) ).
tcf(c_249410,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238983,c_240408]) ).
tcf(c_249411,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238951,c_240408]) ).
tcf(c_249412,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238938,c_240408]) ).
tcf(c_249413,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238937,c_240408]) ).
tcf(c_249414,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238903,c_240408]) ).
tcf(c_249415,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238895,c_240408]) ).
tcf(c_249416,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_238883,c_240408]) ).
tcf(c_249421,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_240408,c_105]) ).
tcf(c_249422,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_240408,c_240407]) ).
tcf(c_249545,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_692,c_249382]) ).
tcf(c_249546,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_689,c_249382]) ).
tcf(c_249547,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_682,c_249382]) ).
tcf(c_249548,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_679,c_249382]) ).
tcf(c_249549,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_672,c_249382]) ).
tcf(c_249550,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_669,c_249382]) ).
tcf(c_249551,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_662,c_249382]) ).
tcf(c_249552,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_659,c_249382]) ).
tcf(c_249553,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_652,c_249382]) ).
tcf(c_249554,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,sk_c11) ) ),
inference(superposition,[status(thm)],[c_649,c_249382]) ).
tcf(c_249555,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(sk_c8,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_249382,c_105]) ).
tcf(c_249556,plain,
multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = multiply(iPr_def_22,iPr_def_15),
inference(superposition,[status(thm)],[c_249382,c_240407]) ).
tcf(c_249557,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_249555,c_249399]) ).
tcf(c_249848,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_29,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_245336,c_105]) ).
tcf(c_249860,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_245341,c_105]) ).
tcf(c_249871,plain,
multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,sk_c10),
inference(superposition,[status(thm)],[c_632,c_240409]) ).
tcf(c_249872,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_239054,c_240409]) ).
tcf(c_249873,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_239055,c_240409]) ).
tcf(c_249874,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_239174,c_240409]) ).
tcf(c_249875,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_239119,c_240409]) ).
tcf(c_249876,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_240408,c_240409]) ).
tcf(c_249877,plain,
multiply(sk_c7,multiply(iPr_def_20,sk_c11)) = multiply(iPr_def_16,iPr_def_15),
inference(superposition,[status(thm)],[c_249382,c_240409]) ).
tcf(c_249896,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1),
inference(superposition,[status(thm)],[c_240409,c_105]) ).
tcf(c_249910,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c10),X0) = multiply(sk_c7,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_249871,c_105]) ).
tcf(c_249911,plain,
multiply(iPr_def_19,multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_249871,c_240426]) ).
tcf(c_249912,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c10),X0) = multiply(iPr_def_16,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_249910,c_249876]) ).
tcf(c_249913,plain,
multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,sk_c11),
inference(superposition,[status(thm)],[c_627,c_240410]) ).
tcf(c_249914,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_239026,c_240410]) ).
tcf(c_249915,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_238916,c_240410]) ).
tcf(c_249916,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_238997,c_240410]) ).
tcf(c_249917,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_238917,c_240410]) ).
tcf(c_249918,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_239155,c_240410]) ).
tcf(c_249919,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_238936,c_240410]) ).
tcf(c_249920,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239504,c_240410]) ).
tcf(c_249921,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239459,c_240410]) ).
tcf(c_249922,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239395,c_240410]) ).
tcf(c_249923,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239348,c_240410]) ).
tcf(c_249924,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_239262,c_240410]) ).
tcf(c_249925,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239979,c_240410]) ).
tcf(c_249926,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239900,c_240410]) ).
tcf(c_249927,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239825,c_240410]) ).
tcf(c_249928,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239754,c_240410]) ).
tcf(c_249929,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_239648,c_240410]) ).
tcf(c_249930,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_240404,c_240410]) ).
tcf(c_249935,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239969,c_240410]) ).
tcf(c_249936,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239817,c_240410]) ).
tcf(c_249937,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239154,c_240410]) ).
tcf(c_249938,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239153,c_240410]) ).
tcf(c_249939,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239024,c_240410]) ).
tcf(c_249940,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_239013,c_240410]) ).
tcf(c_249941,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238983,c_240410]) ).
tcf(c_249942,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238951,c_240410]) ).
tcf(c_249943,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238938,c_240410]) ).
tcf(c_249944,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238937,c_240410]) ).
tcf(c_249945,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238903,c_240410]) ).
tcf(c_249946,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238895,c_240410]) ).
tcf(c_249947,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_238883,c_240410]) ).
tcf(c_249952,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_28,X0),X1),
inference(superposition,[status(thm)],[c_240410,c_105]) ).
tcf(c_250142,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c11),X0) = multiply(sk_c1,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_249913,c_105]) ).
tcf(c_250143,plain,
multiply(iPr_def_29,multiply(iPr_def_28,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_249913,c_240424]) ).
tcf(c_250144,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c11),X0) = multiply(iPr_def_28,multiply(sk_c11,X0)),
inference(light_normalisation,[status(thm)],[c_250142,c_249930]) ).
tcf(c_250269,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240188,c_240411]) ).
tcf(c_250270,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_240132,c_240411]) ).
tcf(c_250281,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1),
inference(superposition,[status(thm)],[c_240411,c_105]) ).
tcf(c_250317,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240452,c_240424]) ).
tcf(c_250328,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240453,c_240428]) ).
tcf(c_250355,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240454,c_240409]) ).
tcf(c_250356,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240454,c_240407]) ).
tcf(c_250357,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250356,c_249112]) ).
tcf(c_250360,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250355,c_249871]) ).
tcf(c_250497,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239608,c_240456]) ).
tcf(c_250499,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239239,c_240456]) ).
tcf(c_250517,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240456,c_647]) ).
tcf(c_250531,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240510,c_240424]) ).
tcf(c_250538,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240511,c_240428]) ).
tcf(c_250565,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240512,c_240409]) ).
tcf(c_250566,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240512,c_240407]) ).
tcf(c_250567,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250566,c_249112]) ).
tcf(c_250570,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250565,c_249871]) ).
tcf(c_250599,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239714,c_240514]) ).
tcf(c_250602,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239300,c_240514]) ).
tcf(c_250621,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240514,c_647]) ).
tcf(c_250635,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240579,c_240424]) ).
tcf(c_250642,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240580,c_240428]) ).
tcf(c_250669,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240581,c_240409]) ).
tcf(c_250670,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240581,c_240407]) ).
tcf(c_250671,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250670,c_249112]) ).
tcf(c_250674,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250669,c_249871]) ).
tcf(c_250721,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240583,c_647]) ).
tcf(c_250731,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240631,c_240424]) ).
tcf(c_250738,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240632,c_240428]) ).
tcf(c_250765,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240633,c_240409]) ).
tcf(c_250766,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240633,c_240407]) ).
tcf(c_250767,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250766,c_249112]) ).
tcf(c_250770,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250765,c_249871]) ).
tcf(c_250833,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240635,c_647]) ).
tcf(c_250843,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240681,c_240424]) ).
tcf(c_250850,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240682,c_240428]) ).
tcf(c_250877,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240683,c_240409]) ).
tcf(c_250878,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240683,c_240407]) ).
tcf(c_250879,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250878,c_249112]) ).
tcf(c_250882,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_250877,c_249871]) ).
tcf(c_250960,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240685,c_647]) ).
tcf(c_250970,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240741,c_240424]) ).
tcf(c_250977,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240742,c_240428]) ).
tcf(c_251004,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240743,c_240409]) ).
tcf(c_251005,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_240743,c_240407]) ).
tcf(c_251006,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_251005,c_249112]) ).
tcf(c_251009,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_251004,c_249871]) ).
tcf(c_251058,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240745,c_647]) ).
tcf(c_251073,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240796,c_240424]) ).
tcf(c_251085,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240797,c_240428]) ).
tcf(c_251117,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_240798,c_240409]) ).
tcf(c_251118,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_240798,c_240407]) ).
tcf(c_251119,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251118,c_249112]) ).
tcf(c_251122,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251117,c_249871]) ).
tcf(c_251158,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239608,c_240800]) ).
tcf(c_251160,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239239,c_240800]) ).
tcf(c_251178,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_240800,c_647]) ).
tcf(c_251197,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241592,c_240424]) ).
tcf(c_251209,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241593,c_240428]) ).
tcf(c_251241,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241594,c_240409]) ).
tcf(c_251242,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241594,c_240407]) ).
tcf(c_251243,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251242,c_249112]) ).
tcf(c_251246,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251241,c_249871]) ).
tcf(c_251280,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239714,c_241596]) ).
tcf(c_251283,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239300,c_241596]) ).
tcf(c_251302,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_241596,c_647]) ).
tcf(c_251325,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241646,c_240424]) ).
tcf(c_251337,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241647,c_240428]) ).
tcf(c_251369,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241648,c_240409]) ).
tcf(c_251370,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241648,c_240407]) ).
tcf(c_251371,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251370,c_249112]) ).
tcf(c_251374,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251369,c_249871]) ).
tcf(c_251453,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_241650,c_647]) ).
tcf(c_251468,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241718,c_240424]) ).
tcf(c_251480,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241719,c_240428]) ).
tcf(c_251512,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241720,c_240409]) ).
tcf(c_251513,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241720,c_240407]) ).
tcf(c_251514,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251513,c_249112]) ).
tcf(c_251517,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251512,c_249871]) ).
tcf(c_251573,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_241722,c_647]) ).
tcf(c_251588,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241780,c_240424]) ).
tcf(c_251600,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241781,c_240428]) ).
tcf(c_251632,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241782,c_240409]) ).
tcf(c_251633,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_241782,c_240407]) ).
tcf(c_251634,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251633,c_249112]) ).
tcf(c_251637,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_251632,c_249871]) ).
tcf(c_251689,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_241784,c_647]) ).
tcf(c_251699,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241842,c_240429]) ).
tcf(c_251727,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_241846,c_240410]) ).
tcf(c_251728,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_241846,c_240408]) ).
tcf(c_251729,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_241846,c_240406]) ).
tcf(c_251730,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_251729,c_248636]) ).
tcf(c_251733,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_251728,c_249382]) ).
tcf(c_251736,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_251727,c_249913]) ).
tcf(c_251748,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241900,c_240429]) ).
tcf(c_251784,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_241904,c_240410]) ).
tcf(c_251785,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_241904,c_240408]) ).
tcf(c_251786,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_241904,c_240406]) ).
tcf(c_251787,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_251786,c_248636]) ).
tcf(c_251790,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_251785,c_249382]) ).
tcf(c_251793,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_251784,c_249913]) ).
tcf(c_251818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242001,c_240429]) ).
tcf(c_251852,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_242005,c_240410]) ).
tcf(c_251853,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_242005,c_240408]) ).
tcf(c_251854,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_242005,c_240406]) ).
tcf(c_251855,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_251854,c_248636]) ).
tcf(c_251858,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_251853,c_249382]) ).
tcf(c_251861,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_251852,c_249913]) ).
tcf(c_251873,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242057,c_240429]) ).
tcf(c_251883,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_242060]) ).
tcf(c_251884,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239817,c_242060]) ).
tcf(c_251901,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_242060,c_240410]) ).
tcf(c_251902,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_242060,c_240408]) ).
tcf(c_251903,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_242060,c_240406]) ).
tcf(c_251908,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_251903,c_248636]) ).
tcf(c_251911,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_251902,c_249382]) ).
tcf(c_251914,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_20) ) ),
inference(light_normalisation,[status(thm)],[c_251901,c_249913]) ).
tcf(c_251928,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242183,c_240429]) ).
tcf(c_251966,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_242187,c_240410]) ).
tcf(c_251967,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_242187,c_240408]) ).
tcf(c_251968,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(superposition,[status(thm)],[c_242187,c_240406]) ).
tcf(c_251969,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_251968,c_248636]) ).
tcf(c_251972,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_251967,c_249382]) ).
tcf(c_251975,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_29) ) ),
inference(light_normalisation,[status(thm)],[c_251966,c_249913]) ).
tcf(c_252005,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242257,c_240429]) ).
tcf(c_252023,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_242260]) ).
tcf(c_252024,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239817,c_242260]) ).
tcf(c_252041,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_242260,c_240410]) ).
tcf(c_252042,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_242260,c_240408]) ).
tcf(c_252043,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_242260,c_240406]) ).
tcf(c_252048,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_252043,c_248636]) ).
tcf(c_252051,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_252042,c_249382]) ).
tcf(c_252054,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_252041,c_249913]) ).
tcf(c_252066,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242391,c_240424]) ).
tcf(c_252073,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242392,c_240428]) ).
tcf(c_252100,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_242393,c_240409]) ).
tcf(c_252101,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_242393,c_240407]) ).
tcf(c_252102,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_252101,c_249112]) ).
tcf(c_252105,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_252100,c_249871]) ).
tcf(c_252128,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239891,c_242395]) ).
tcf(c_252152,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_242395,c_647]) ).
tcf(c_252164,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242517,c_240429]) ).
tcf(c_252174,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_239969,c_242520]) ).
tcf(c_252192,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_242520,c_240410]) ).
tcf(c_252193,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_242520,c_240408]) ).
tcf(c_252194,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_242520,c_240406]) ).
tcf(c_252197,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_252194,c_248636]) ).
tcf(c_252200,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_252193,c_249382]) ).
tcf(c_252203,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_252192,c_249913]) ).
tcf(c_252215,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242648,c_240424]) ).
tcf(c_252222,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242649,c_240428]) ).
tcf(c_252249,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_242650,c_240409]) ).
tcf(c_252250,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_242650,c_240407]) ).
tcf(c_252251,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_252250,c_249112]) ).
tcf(c_252254,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_252249,c_249871]) ).
tcf(c_252333,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_242651,c_647]) ).
tcf(c_252343,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242775,c_240423]) ).
tcf(c_252355,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242829,c_240423]) ).
tcf(c_252362,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_241775,c_243033]) ).
tcf(c_252363,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_241714,c_243033]) ).
tcf(c_252364,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_241643,c_243033]) ).
tcf(c_252365,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_241590,c_243033]) ).
tcf(c_252366,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_240795,c_243033]) ).
tcf(c_252367,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_240745,c_243033]) ).
tcf(c_252368,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_240685,c_243033]) ).
tcf(c_252369,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_240635,c_243033]) ).
tcf(c_252370,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_240583,c_243033]) ).
tcf(c_252371,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_240514,c_243033]) ).
tcf(c_252372,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_240456,c_243033]) ).
tcf(c_252373,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(iPr_def_17,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_243033,c_105]) ).
tcf(c_252435,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_242632,c_243048]) ).
tcf(c_252436,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_242502,c_243048]) ).
tcf(c_252437,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_242500,c_243048]) ).
tcf(c_252438,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_242241,c_243048]) ).
tcf(c_252439,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_242174,c_243048]) ).
tcf(c_252440,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_241993,c_243048]) ).
tcf(c_252441,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_29,multiply(multiply(iPr_def_28,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_243048,c_105]) ).
tcf(c_252483,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_243392,c_105]) ).
tcf(c_252491,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_243685,c_105]) ).
tcf(c_252492,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_243688,c_105]) ).
tcf(c_252493,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_242651,c_243693]) ).
tcf(c_252494,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_238950,c_243693]) ).
tcf(c_252495,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_22) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_243672,c_243693]) ).
tcf(c_252496,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_20) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_243860,c_243693]) ).
tcf(c_252497,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_25) = multiply(iPr_def_25,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_243898,c_243693]) ).
tcf(c_252498,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_243693,c_105]) ).
tcf(c_252516,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_240413,c_103]) ).
tcf(c_252534,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_64051,c_252516]) ).
tcf(c_252535,plain,
multiply(inverse(sk_c10),iPr_def_15) = sk_c11,
inference(superposition,[status(thm)],[c_627,c_252516]) ).
tcf(c_252536,plain,
multiply(inverse(sk_c3),iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_252516]) ).
tcf(c_252537,plain,
multiply(inverse(sk_c4),iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_636,c_252516]) ).
tcf(c_252538,plain,
multiply(inverse(sk_c5),iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_634,c_252516]) ).
tcf(c_252539,plain,
multiply(inverse(sk_c8),iPr_def_20) = sk_c10,
inference(superposition,[status(thm)],[c_632,c_252516]) ).
tcf(c_252540,plain,
multiply(inverse(sk_c7),iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_628,c_252516]) ).
tcf(c_252541,plain,
multiply(inverse(sk_c1),iPr_def_28) = sk_c10,
inference(superposition,[status(thm)],[c_640,c_252516]) ).
tcf(c_252542,plain,
multiply(inverse(sk_c2),iPr_def_17) = sk_c9,
inference(superposition,[status(thm)],[c_629,c_252516]) ).
tcf(c_252543,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_252516]) ).
tcf(c_252544,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_252516]) ).
tcf(c_252545,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_105,c_252516]) ).
tcf(c_252546,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_242395,c_252516]) ).
tcf(c_252547,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_238915,c_252516]) ).
tcf(c_252548,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242260,c_252516]) ).
tcf(c_252549,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239026,c_252516]) ).
tcf(c_252550,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_238916,c_252516]) ).
tcf(c_252551,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242060,c_252516]) ).
tcf(c_252552,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238997,c_252516]) ).
tcf(c_252553,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238917,c_252516]) ).
tcf(c_252554,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242520,c_252516]) ).
tcf(c_252555,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239155,c_252516]) ).
tcf(c_252556,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238936,c_252516]) ).
tcf(c_252557,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_242651,c_252516]) ).
tcf(c_252558,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_238950,c_252516]) ).
tcf(c_252559,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_240193,c_252516]) ).
tcf(c_252560,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239718,c_252516]) ).
tcf(c_252561,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239303,c_252516]) ).
tcf(c_252562,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239037,c_252516]) ).
tcf(c_252563,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239035,c_252516]) ).
tcf(c_252564,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_240092,c_252516]) ).
tcf(c_252565,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239579,c_252516]) ).
tcf(c_252566,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239217,c_252516]) ).
tcf(c_252567,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239038,c_252516]) ).
tcf(c_252568,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239036,c_252516]) ).
tcf(c_252569,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_240293,c_252516]) ).
tcf(c_252570,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239872,c_252516]) ).
tcf(c_252571,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239437,c_252516]) ).
tcf(c_252572,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239141,c_252516]) ).
tcf(c_252573,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239047,c_252516]) ).
tcf(c_252574,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240192,c_252516]) ).
tcf(c_252575,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239717,c_252516]) ).
tcf(c_252576,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239302,c_252516]) ).
tcf(c_252577,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239052,c_252516]) ).
tcf(c_252578,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239050,c_252516]) ).
tcf(c_252579,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240091,c_252516]) ).
tcf(c_252580,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239578,c_252516]) ).
tcf(c_252581,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_252516]) ).
tcf(c_252582,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_252516]) ).
tcf(c_252583,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_252516]) ).
tcf(c_252584,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242650,c_252516]) ).
tcf(c_252585,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239054,c_252516]) ).
tcf(c_252586,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242393,c_252516]) ).
tcf(c_252587,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239055,c_252516]) ).
tcf(c_252588,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_240191,c_252516]) ).
tcf(c_252589,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239716,c_252516]) ).
tcf(c_252590,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239301,c_252516]) ).
tcf(c_252591,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239070,c_252516]) ).
tcf(c_252592,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239068,c_252516]) ).
tcf(c_252593,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_240090,c_252516]) ).
tcf(c_252594,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239577,c_252516]) ).
tcf(c_252595,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239215,c_252516]) ).
tcf(c_252596,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239071,c_252516]) ).
tcf(c_252597,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239069,c_252516]) ).
tcf(c_252598,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242649,c_252516]) ).
tcf(c_252599,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239080,c_252516]) ).
tcf(c_252600,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242392,c_252516]) ).
tcf(c_252601,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239081,c_252516]) ).
tcf(c_252602,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242257,c_252516]) ).
tcf(c_252603,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239089,c_252516]) ).
tcf(c_252604,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239086,c_252516]) ).
tcf(c_252605,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242057,c_252516]) ).
tcf(c_252606,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239090,c_252516]) ).
tcf(c_252607,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239087,c_252516]) ).
tcf(c_252608,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242517,c_252516]) ).
tcf(c_252609,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239152,c_252516]) ).
tcf(c_252610,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239088,c_252516]) ).
tcf(c_252611,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242648,c_252516]) ).
tcf(c_252612,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239101,c_252516]) ).
tcf(c_252613,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242391,c_252516]) ).
tcf(c_252614,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239102,c_252516]) ).
tcf(c_252615,plain,
multiply(inverse(iPr_def_25),identity) = sk_c3,
inference(superposition,[status(thm)],[c_239325,c_252516]) ).
tcf(c_252616,plain,
multiply(inverse(iPr_def_23),identity) = sk_c4,
inference(superposition,[status(thm)],[c_239326,c_252516]) ).
tcf(c_252617,plain,
multiply(inverse(iPr_def_21),identity) = sk_c5,
inference(superposition,[status(thm)],[c_239327,c_252516]) ).
tcf(c_252618,plain,
multiply(inverse(iPr_def_19),identity) = sk_c7,
inference(superposition,[status(thm)],[c_239328,c_252516]) ).
tcf(c_252619,plain,
multiply(inverse(iPr_def_18),identity) = sk_c6,
inference(superposition,[status(thm)],[c_239329,c_252516]) ).
tcf(c_252620,plain,
multiply(inverse(iPr_def_29),identity) = sk_c1,
inference(superposition,[status(thm)],[c_239330,c_252516]) ).
tcf(c_252621,plain,
multiply(inverse(iPr_def_27),identity) = sk_c2,
inference(superposition,[status(thm)],[c_239331,c_252516]) ).
tcf(c_252622,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241780,c_252516]) ).
tcf(c_252623,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241718,c_252516]) ).
tcf(c_252624,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241646,c_252516]) ).
tcf(c_252625,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241592,c_252516]) ).
tcf(c_252626,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240796,c_252516]) ).
tcf(c_252627,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239172,c_252516]) ).
tcf(c_252628,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239117,c_252516]) ).
tcf(c_252629,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241781,c_252516]) ).
tcf(c_252630,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241719,c_252516]) ).
tcf(c_252631,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241647,c_252516]) ).
tcf(c_252632,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241593,c_252516]) ).
tcf(c_252633,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240797,c_252516]) ).
tcf(c_252634,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239173,c_252516]) ).
tcf(c_252635,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239118,c_252516]) ).
tcf(c_252636,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241782,c_252516]) ).
tcf(c_252637,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241720,c_252516]) ).
tcf(c_252638,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241648,c_252516]) ).
tcf(c_252639,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241594,c_252516]) ).
tcf(c_252640,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240798,c_252516]) ).
tcf(c_252641,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239174,c_252516]) ).
tcf(c_252642,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239119,c_252516]) ).
tcf(c_252643,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241784,c_252516]) ).
tcf(c_252644,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241722,c_252516]) ).
tcf(c_252645,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241650,c_252516]) ).
tcf(c_252646,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241596,c_252516]) ).
tcf(c_252647,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240800,c_252516]) ).
tcf(c_252648,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_239176,c_252516]) ).
tcf(c_252649,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_239121,c_252516]) ).
tcf(c_252650,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241900,c_252516]) ).
tcf(c_252651,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241842,c_252516]) ).
tcf(c_252652,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239500,c_252516]) ).
tcf(c_252653,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239455,c_252516]) ).
tcf(c_252654,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239391,c_252516]) ).
tcf(c_252655,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239344,c_252516]) ).
tcf(c_252656,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239258,c_252516]) ).
tcf(c_252657,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241904,c_252516]) ).
tcf(c_252658,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241846,c_252516]) ).
tcf(c_252659,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239504,c_252516]) ).
tcf(c_252660,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239459,c_252516]) ).
tcf(c_252661,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239395,c_252516]) ).
tcf(c_252662,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239348,c_252516]) ).
tcf(c_252663,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239262,c_252516]) ).
tcf(c_252664,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240131,c_252516]) ).
tcf(c_252665,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_252516]) ).
tcf(c_252666,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_252516]) ).
tcf(c_252667,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240053,c_252516]) ).
tcf(c_252668,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240051,c_252516]) ).
tcf(c_252669,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_252516]) ).
tcf(c_252670,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_252516]) ).
tcf(c_252671,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240054,c_252516]) ).
tcf(c_252672,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240052,c_252516]) ).
tcf(c_252673,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240050,c_252516]) ).
tcf(c_252674,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242183,c_252516]) ).
tcf(c_252675,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242001,c_252516]) ).
tcf(c_252676,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239975,c_252516]) ).
tcf(c_252677,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239896,c_252516]) ).
tcf(c_252678,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239821,c_252516]) ).
tcf(c_252679,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239750,c_252516]) ).
tcf(c_252680,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239644,c_252516]) ).
tcf(c_252681,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242187,c_252516]) ).
tcf(c_252682,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242005,c_252516]) ).
tcf(c_252683,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239979,c_252516]) ).
tcf(c_252684,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239900,c_252516]) ).
tcf(c_252685,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239825,c_252516]) ).
tcf(c_252686,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239754,c_252516]) ).
tcf(c_252687,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239648,c_252516]) ).
tcf(c_252688,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242829,c_252516]) ).
tcf(c_252689,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242775,c_252516]) ).
tcf(c_252690,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240370,c_252516]) ).
tcf(c_252691,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240328,c_252516]) ).
tcf(c_252692,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240257,c_252516]) ).
tcf(c_252693,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240215,c_252516]) ).
tcf(c_252694,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240155,c_252516]) ).
tcf(c_252695,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240741,c_252516]) ).
tcf(c_252696,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240681,c_252516]) ).
tcf(c_252697,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240631,c_252516]) ).
tcf(c_252698,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240579,c_252516]) ).
tcf(c_252699,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240510,c_252516]) ).
tcf(c_252700,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240452,c_252516]) ).
tcf(c_252701,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240742,c_252516]) ).
tcf(c_252702,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240682,c_252516]) ).
tcf(c_252703,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240632,c_252516]) ).
tcf(c_252704,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240580,c_252516]) ).
tcf(c_252705,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240511,c_252516]) ).
tcf(c_252706,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240453,c_252516]) ).
tcf(c_252707,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240743,c_252516]) ).
tcf(c_252708,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240683,c_252516]) ).
tcf(c_252709,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240633,c_252516]) ).
tcf(c_252710,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240581,c_252516]) ).
tcf(c_252711,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240512,c_252516]) ).
tcf(c_252712,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240454,c_252516]) ).
tcf(c_252713,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240745,c_252516]) ).
tcf(c_252714,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240685,c_252516]) ).
tcf(c_252715,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240635,c_252516]) ).
tcf(c_252716,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240583,c_252516]) ).
tcf(c_252717,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240514,c_252516]) ).
tcf(c_252718,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240456,c_252516]) ).
tcf(c_252719,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_240404,c_252516]) ).
tcf(c_252720,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_240405,c_252516]) ).
tcf(c_252721,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_24,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_240406,c_252516]) ).
tcf(c_252722,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_240407,c_252516]) ).
tcf(c_252723,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_240408,c_252516]) ).
tcf(c_252724,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_240409,c_252516]) ).
tcf(c_252725,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_28,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_240410,c_252516]) ).
tcf(c_252726,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_17,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_240411,c_252516]) ).
tcf(c_252728,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_240429,c_252516]) ).
tcf(c_252729,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_240428,c_252516]) ).
tcf(c_252730,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_240427,c_252516]) ).
tcf(c_252731,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_240426,c_252516]) ).
tcf(c_252732,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_240425,c_252516]) ).
tcf(c_252733,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_240424,c_252516]) ).
tcf(c_252734,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_240423,c_252516]) ).
tcf(c_252735,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242946,c_252516]) ).
tcf(c_252736,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242947,c_252516]) ).
tcf(c_252737,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242948,c_252516]) ).
tcf(c_252738,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_243672,c_252516]) ).
tcf(c_252739,plain,
multiply(inverse(iPr_def_27),sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_243031,c_252516]) ).
tcf(c_252740,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(sk_c9,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_243033,c_252516]) ).
tcf(c_252741,plain,
multiply(inverse(iPr_def_29),sk_c10) = iPr_def_28,
inference(superposition,[status(thm)],[c_243038,c_252516]) ).
tcf(c_252742,plain,
! [X0: $i] : multiply(inverse(iPr_def_29),multiply(sk_c10,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_243048,c_252516]) ).
tcf(c_252743,plain,
multiply(inverse(iPr_def_19),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_243371,c_252516]) ).
tcf(c_252744,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_243392,c_252516]) ).
tcf(c_252745,plain,
multiply(inverse(iPr_def_21),sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_243395,c_252516]) ).
tcf(c_252746,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_243860,c_252516]) ).
tcf(c_252747,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_243685,c_252516]) ).
tcf(c_252748,plain,
multiply(inverse(iPr_def_23),sk_c10) = iPr_def_24,
inference(superposition,[status(thm)],[c_243686,c_252516]) ).
tcf(c_252749,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_243688,c_252516]) ).
tcf(c_252750,plain,
multiply(inverse(iPr_def_25),sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_243689,c_252516]) ).
tcf(c_252751,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_243693,c_252516]) ).
tcf(c_252752,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_243898,c_252516]) ).
tcf(c_252753,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244486,c_252516]) ).
tcf(c_252754,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244487,c_252516]) ).
tcf(c_252755,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_252516]) ).
tcf(c_252756,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_252516]) ).
tcf(c_252757,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_245336,c_252516]) ).
tcf(c_252758,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_245080,c_252516]) ).
tcf(c_252759,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_245341,c_252516]) ).
tcf(c_252760,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33896,c_252516]) ).
tcf(c_252761,plain,
multiply(inverse(sk_c4),multiply(iPr_def_24,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_248636,c_252516]) ).
tcf(c_252762,plain,
multiply(inverse(sk_c5),multiply(iPr_def_22,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_249112,c_252516]) ).
tcf(c_252763,plain,
multiply(inverse(sk_c8),multiply(iPr_def_20,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_249382,c_252516]) ).
tcf(c_252764,plain,
multiply(inverse(sk_c7),multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_249871,c_252516]) ).
tcf(c_252765,plain,
multiply(inverse(sk_c1),multiply(iPr_def_28,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_249913,c_252516]) ).
tcf(c_252766,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_252516,c_252516]) ).
tcf(c_252767,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_252516,c_105]) ).
tcf(c_253446,plain,
multiply(inverse(inverse(sk_c10)),sk_c11) = iPr_def_15,
inference(superposition,[status(thm)],[c_252535,c_252516]) ).
tcf(c_253468,plain,
multiply(inverse(inverse(sk_c8)),sk_c10) = iPr_def_20,
inference(superposition,[status(thm)],[c_252539,c_252516]) ).
tcf(c_253470,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm)],[c_252615,c_252728]) ).
tcf(c_253471,plain,
multiply(inverse(sk_c3),sk_c3) = identity,
inference(superposition,[status(thm)],[c_253470,c_252516]) ).
tcf(c_253472,plain,
! [X0: $i] : multiply(sk_c3,multiply(identity,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_253470,c_105]) ).
tcf(c_253491,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm)],[c_252616,c_252729]) ).
tcf(c_253492,plain,
multiply(inverse(sk_c4),sk_c4) = identity,
inference(superposition,[status(thm)],[c_253491,c_252516]) ).
tcf(c_253493,plain,
! [X0: $i] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_253491,c_105]) ).
tcf(c_253509,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_252544,c_252766]) ).
tcf(c_253515,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_253509,c_105]) ).
tcf(c_253517,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_253509,c_105]) ).
tcf(c_253518,plain,
multiply(sk_c3,sk_c11) = multiply(iPr_def_26,identity),
inference(superposition,[status(thm)],[c_253509,c_240405]) ).
tcf(c_253519,plain,
multiply(sk_c10,sk_c11) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_253509,c_240404]) ).
tcf(c_253520,plain,
multiply(sk_c11,identity) = multiply(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_253509,c_243693]) ).
tcf(c_253521,plain,
multiply(sk_c10,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_253509,c_243688]) ).
tcf(c_253522,plain,
multiply(sk_c1,sk_c10) = multiply(iPr_def_28,identity),
inference(superposition,[status(thm)],[c_253509,c_240410]) ).
tcf(c_253523,plain,
multiply(sk_c8,sk_c10) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_253509,c_240408]) ).
tcf(c_253524,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_253509,c_240406]) ).
tcf(c_253525,plain,
multiply(sk_c8,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_253509,c_243685]) ).
tcf(c_253526,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_253509,c_240409]) ).
tcf(c_253527,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_253509,c_240407]) ).
tcf(c_253528,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_16),
inference(superposition,[status(thm)],[c_253509,c_243392]) ).
tcf(c_253529,plain,
multiply(sk_c10,identity) = multiply(iPr_def_29,iPr_def_28),
inference(superposition,[status(thm)],[c_253509,c_243048]) ).
tcf(c_253530,plain,
multiply(sk_c9,identity) = multiply(iPr_def_27,iPr_def_17),
inference(superposition,[status(thm)],[c_253509,c_243033]) ).
tcf(c_253531,plain,
multiply(sk_c2,sk_c9) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_253509,c_240411]) ).
tcf(c_253539,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_253531,c_629]) ).
tcf(c_253540,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_253530,c_243031]) ).
tcf(c_253541,plain,
multiply(sk_c10,identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_253529,c_243038]) ).
tcf(c_253542,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_253528,c_243371]) ).
tcf(c_253543,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_253527,c_634]) ).
tcf(c_253544,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_253526,c_628]) ).
tcf(c_253546,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_253524,c_636]) ).
tcf(c_253547,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_253523,c_632]) ).
tcf(c_253548,plain,
multiply(iPr_def_28,identity) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_253522,c_640]) ).
tcf(c_253550,plain,
multiply(sk_c11,identity) = sk_c11,
inference(light_normalisation,[status(thm)],[c_253520,c_243689]) ).
tcf(c_253551,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_253519,c_627]) ).
tcf(c_253552,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_253518,c_638]) ).
tcf(c_253577,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_240739,c_16746]) ).
tcf(c_253583,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_253577,c_243033]) ).
tcf(c_253607,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_253577,c_239176]) ).
tcf(c_253608,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_253577,c_239174]) ).
tcf(c_253609,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_253577,c_239173]) ).
tcf(c_253610,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_253577,c_239172]) ).
tcf(c_253611,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_253577,c_239121]) ).
tcf(c_253612,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_253577,c_239119]) ).
tcf(c_253613,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_253577,c_239118]) ).
tcf(c_253614,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_253577,c_239117]) ).
tcf(c_253615,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_253577,c_243031]) ).
tcf(c_253616,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_253577,c_240423]) ).
tcf(c_253618,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_253577,c_239331]) ).
tcf(c_253673,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_253577,c_241695]) ).
tcf(c_253674,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_241775,c_241695]) ).
tcf(c_253675,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_241714,c_241695]) ).
tcf(c_253676,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_241643,c_241695]) ).
tcf(c_253677,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_241590,c_241695]) ).
tcf(c_253678,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_240795,c_241695]) ).
tcf(c_253679,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_253509,c_241695]) ).
tcf(c_253680,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_241695,c_252516]) ).
tcf(c_253681,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(multiply(iPr_def_28,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_241695,c_105]) ).
tcf(c_253755,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239891,c_240995]) ).
tcf(c_253756,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239747,c_240995]) ).
tcf(c_253757,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239714,c_240995]) ).
tcf(c_253758,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239642,c_240995]) ).
tcf(c_253759,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239608,c_240995]) ).
tcf(c_253760,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239300,c_240995]) ).
tcf(c_253761,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239239,c_240995]) ).
tcf(c_253762,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_687,c_240995]) ).
tcf(c_253763,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_686,c_240995]) ).
tcf(c_253764,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_684,c_240995]) ).
tcf(c_253765,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_683,c_240995]) ).
tcf(c_253766,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( iPr_def_28 != iPr_def_29 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_681,c_240995]) ).
tcf(c_253767,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_677,c_240995]) ).
tcf(c_253768,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_676,c_240995]) ).
tcf(c_253769,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_674,c_240995]) ).
tcf(c_253770,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_673,c_240995]) ).
tcf(c_253771,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_671,c_240995]) ).
tcf(c_253772,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_666,c_240995]) ).
tcf(c_253773,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_663,c_240995]) ).
tcf(c_253774,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_661,c_240995]) ).
tcf(c_253775,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_656,c_240995]) ).
tcf(c_253776,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_653,c_240995]) ).
tcf(c_253777,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_651,c_240995]) ).
tcf(c_253953,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_253767,c_16293]) ).
tcf(c_253959,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_253768,c_9886,c_16145]) ).
tcf(c_253965,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_253769,c_16317]) ).
tcf(c_253971,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_253770,c_9697,c_16147]) ).
tcf(c_253977,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_253771,c_9223,c_16148]) ).
tcf(c_254019,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239891,c_241002]) ).
tcf(c_254020,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239747,c_241002]) ).
tcf(c_254021,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_29 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239714,c_241002]) ).
tcf(c_254022,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239642,c_241002]) ).
tcf(c_254023,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_29 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239608,c_241002]) ).
tcf(c_254024,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_28 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239300,c_241002]) ).
tcf(c_254025,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_28 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239239,c_241002]) ).
tcf(c_254036,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_666,c_241002]) ).
tcf(c_254037,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_663,c_241002]) ).
tcf(c_254038,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_661,c_241002]) ).
tcf(c_254039,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_656,c_241002]) ).
tcf(c_254040,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_653,c_241002]) ).
tcf(c_254041,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_651,c_241002]) ).
tcf(c_254110,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_240188,c_241131]) ).
tcf(c_254111,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_240132,c_241131]) ).
tcf(c_254112,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_697,c_241131]) ).
tcf(c_254113,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_696,c_241131]) ).
tcf(c_254114,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_695,c_241131]) ).
tcf(c_254115,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_694,c_241131]) ).
tcf(c_254116,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_693,c_241131]) ).
tcf(c_254117,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_691,c_241131]) ).
tcf(c_254118,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_685,c_241131]) ).
tcf(c_254119,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_675,c_241131]) ).
tcf(c_254120,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( iPr_def_24 != iPr_def_28 )
| ( sk_c10 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_665,c_241131]) ).
tcf(c_254212,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239969,c_241138]) ).
tcf(c_254213,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239817,c_241138]) ).
tcf(c_254214,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239154,c_241138]) ).
tcf(c_254215,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239153,c_241138]) ).
tcf(c_254216,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239024,c_241138]) ).
tcf(c_254217,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239013,c_241138]) ).
tcf(c_254218,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238983,c_241138]) ).
tcf(c_254219,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238951,c_241138]) ).
tcf(c_254220,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238938,c_241138]) ).
tcf(c_254221,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238937,c_241138]) ).
tcf(c_254222,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238903,c_241138]) ).
tcf(c_254223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238895,c_241138]) ).
tcf(c_254224,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_238883,c_241138]) ).
tcf(c_254225,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_667,c_241138]) ).
tcf(c_254226,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_241138]) ).
tcf(c_254322,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239969,c_241246]) ).
tcf(c_254323,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239817,c_241246]) ).
tcf(c_254324,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239154,c_241246]) ).
tcf(c_254325,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239153,c_241246]) ).
tcf(c_254326,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239024,c_241246]) ).
tcf(c_254327,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239013,c_241246]) ).
tcf(c_254328,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238983,c_241246]) ).
tcf(c_254329,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238951,c_241246]) ).
tcf(c_254330,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238938,c_241246]) ).
tcf(c_254331,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238937,c_241246]) ).
tcf(c_254332,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238903,c_241246]) ).
tcf(c_254333,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238895,c_241246]) ).
tcf(c_254334,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238883,c_241246]) ).
tcf(c_254335,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_241246]) ).
tcf(c_254336,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_241246]) ).
tcf(c_254337,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_657,c_241246]) ).
tcf(c_254338,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_654,c_241246]) ).
tcf(c_254454,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_25)) != sk_c10 )
| ( multiply(sk_c3,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252728,c_645]) ).
tcf(c_254455,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_25)) != sk_c11 )
| ( multiply(sk_c3,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252728,c_644]) ).
tcf(c_254456,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_25)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_252728,c_252516]) ).
tcf(c_254457,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_25),multiply(X0,X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_252728,c_105]) ).
tcf(c_254458,plain,
multiply(sk_c3,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_252728,c_104]) ).
tcf(c_254459,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_25))) != inverse(X0) )
| ( multiply(sk_c3,inverse(X0)) != inverse(inverse(iPr_def_25)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252728,c_643]) ).
tcf(c_254460,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_25)) != sk_c11 )
| ( multiply(sk_c3,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252728,c_647]) ).
tcf(c_254461,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_25)) != sk_c10 )
| ( multiply(sk_c3,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252728,c_646]) ).
tcf(c_254462,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_252728,c_252516]) ).
tcf(c_254463,plain,
multiply(sk_c3,identity) = inverse(iPr_def_25),
inference(superposition,[status(thm)],[c_252728,c_253509]) ).
tcf(c_254467,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( inverse(inverse(iPr_def_25)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_254460,c_638]) ).
tcf(c_254482,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_242517,c_254458]) ).
tcf(c_254483,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_239152,c_254458]) ).
tcf(c_254484,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_239088,c_254458]) ).
tcf(c_254527,plain,
multiply(inverse(sk_c3),identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_254458,c_252516]) ).
tcf(c_254528,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_254458,c_105]) ).
tcf(c_254529,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_254458,c_240429]) ).
tcf(c_254532,plain,
inverse(iPr_def_25) = sk_c3,
inference(demodulation,[status(thm)],[c_254463,c_253509]) ).
tcf(c_254536,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254532,c_643]) ).
tcf(c_254537,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c3,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c3 )
| ( multiply(X0,sk_c3) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_254536,c_239325,c_254532]) ).
tcf(c_254565,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_254482,c_253509]) ).
tcf(c_254566,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_254482,c_103]) ).
tcf(c_254567,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254482,c_64051]) ).
tcf(c_254578,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_254483,c_253509]) ).
tcf(c_254579,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_254483,c_103]) ).
tcf(c_254580,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254483,c_64051]) ).
tcf(c_254593,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_254484,c_253509]) ).
tcf(c_254594,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_254484,c_103]) ).
tcf(c_254595,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254484,c_64051]) ).
tcf(c_254614,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_254566,c_645]) ).
tcf(c_254615,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254566,c_644]) ).
tcf(c_254616,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_254566,c_252516]) ).
tcf(c_254617,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_254566,c_105]) ).
tcf(c_254618,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254566,c_643]) ).
tcf(c_254619,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254566,c_647]) ).
tcf(c_254620,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_254566,c_646]) ).
tcf(c_254621,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254566,c_242651]) ).
tcf(c_254623,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_254566,c_243693]) ).
tcf(c_254624,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254566,c_243672]) ).
tcf(c_254625,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254566,c_243860]) ).
tcf(c_254626,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254566,c_243898]) ).
tcf(c_254766,plain,
multiply(sk_c3,sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_243689,c_254462]) ).
tcf(c_254769,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_254462,c_252516]) ).
tcf(c_254770,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_254462,c_105]) ).
tcf(c_254859,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_254621,c_241002]) ).
tcf(c_254860,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_254621,c_240995]) ).
tcf(c_254861,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254621,c_242651]) ).
tcf(c_254862,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254621,c_242395]) ).
tcf(c_254879,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_254621,c_240405]) ).
tcf(c_254880,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_254621,c_240404]) ).
tcf(c_254894,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254621,c_238950]) ).
tcf(c_254895,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254621,c_238915]) ).
tcf(c_254896,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_254621,c_239891]) ).
tcf(c_254897,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_254621,c_239747]) ).
tcf(c_254899,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_254621,c_239642]) ).
tcf(c_254903,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_254621,c_647]) ).
tcf(c_254904,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254621,c_687]) ).
tcf(c_254905,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_254621,c_686]) ).
tcf(c_254906,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_254621,c_684]) ).
tcf(c_254907,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_254621,c_683]) ).
tcf(c_254908,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_254621,c_681]) ).
tcf(c_254909,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254621,c_677]) ).
tcf(c_254910,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_254621,c_676]) ).
tcf(c_254911,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_254621,c_674]) ).
tcf(c_254912,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_254621,c_673]) ).
tcf(c_254913,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_254621,c_671]) ).
tcf(c_254915,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254621,c_638]) ).
tcf(c_254919,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254621,c_627]) ).
tcf(c_255026,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_254896,c_243048]) ).
tcf(c_255027,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254896,c_242187]) ).
tcf(c_255028,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254896,c_242183]) ).
tcf(c_255029,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254896,c_242005]) ).
tcf(c_255030,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254896,c_242001]) ).
tcf(c_255043,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_254896,c_243038]) ).
tcf(c_255044,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254896,c_240424]) ).
tcf(c_255045,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_254896,c_239330]) ).
tcf(c_255128,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_254579,c_645]) ).
tcf(c_255129,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254579,c_644]) ).
tcf(c_255130,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_254579,c_252516]) ).
tcf(c_255131,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_254579,c_105]) ).
tcf(c_255132,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254579,c_643]) ).
tcf(c_255133,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254579,c_647]) ).
tcf(c_255134,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_254579,c_646]) ).
tcf(c_255136,plain,
( ( sk_c11 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254579,c_238950]) ).
tcf(c_255137,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_254579,c_243693]) ).
tcf(c_255138,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254579,c_243672]) ).
tcf(c_255139,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254579,c_243860]) ).
tcf(c_255140,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254579,c_243898]) ).
tcf(c_255235,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254594,c_644]) ).
tcf(c_255236,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_254594,c_252516]) ).
tcf(c_255237,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_254594,c_105]) ).
tcf(c_255238,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254594,c_643]) ).
tcf(c_255240,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_254594,c_646]) ).
tcf(c_255242,plain,
( ( sk_c11 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254594,c_238950]) ).
tcf(c_255243,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_254594,c_243693]) ).
tcf(c_255244,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254594,c_243672]) ).
tcf(c_255245,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254594,c_243860]) ).
tcf(c_255246,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_254594,c_243898]) ).
tcf(c_255283,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254915,c_252516]) ).
tcf(c_255285,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254915,c_240429]) ).
tcf(c_255313,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254919,c_252516]) ).
tcf(c_255315,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254919,c_240410]) ).
tcf(c_255316,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254919,c_240408]) ).
tcf(c_255317,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254919,c_240406]) ).
tcf(c_255319,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_255317,c_248636]) ).
tcf(c_255322,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_255316,c_249382]) ).
tcf(c_255325,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_255315,c_249913]) ).
tcf(c_255332,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_254897,c_243048]) ).
tcf(c_255333,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254897,c_242187]) ).
tcf(c_255334,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254897,c_242183]) ).
tcf(c_255335,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254897,c_242005]) ).
tcf(c_255336,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254897,c_242001]) ).
tcf(c_255349,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_254897,c_243038]) ).
tcf(c_255350,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254897,c_240424]) ).
tcf(c_255351,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_254897,c_239330]) ).
tcf(c_255463,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_254899,c_243048]) ).
tcf(c_255464,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254899,c_242187]) ).
tcf(c_255465,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254899,c_242183]) ).
tcf(c_255466,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c10,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254899,c_242005]) ).
tcf(c_255467,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254899,c_242001]) ).
tcf(c_255480,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_254899,c_243038]) ).
tcf(c_255481,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254899,c_240424]) ).
tcf(c_255482,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_254899,c_239330]) ).
tcf(c_255547,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_15 != iPr_def_24 )
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_255242,c_241002]) ).
tcf(c_255548,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_15 != iPr_def_28 )
| ( sk_c11 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_255242,c_240995]) ).
tcf(c_255567,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_255242,c_240405]) ).
tcf(c_255568,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_255242,c_240404]) ).
tcf(c_255582,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255242,c_238950]) ).
tcf(c_255583,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255242,c_238915]) ).
tcf(c_255586,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255242,c_239714]) ).
tcf(c_255588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255242,c_239608]) ).
tcf(c_255589,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255242,c_239300]) ).
tcf(c_255590,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255242,c_239239]) ).
tcf(c_255603,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_255242,c_638]) ).
tcf(c_255607,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255242,c_627]) ).
tcf(c_255769,plain,
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_255244,c_241246]) ).
tcf(c_255770,plain,
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255244,c_241138]) ).
tcf(c_255771,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_255244,c_252535]) ).
tcf(c_255774,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_242187]) ).
tcf(c_255776,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_242005]) ).
tcf(c_255777,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_241904]) ).
tcf(c_255778,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_241846]) ).
tcf(c_255779,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_255244,c_240410]) ).
tcf(c_255780,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_255244,c_240408]) ).
tcf(c_255781,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_255244,c_240406]) ).
tcf(c_255782,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_255244,c_240404]) ).
tcf(c_255783,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_240192]) ).
tcf(c_255784,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_240091]) ).
tcf(c_255785,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239979]) ).
tcf(c_255786,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239900]) ).
tcf(c_255787,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239825]) ).
tcf(c_255790,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239754]) ).
tcf(c_255791,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_239717]) ).
tcf(c_255792,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239648]) ).
tcf(c_255793,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_239578]) ).
tcf(c_255794,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239504]) ).
tcf(c_255795,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239459]) ).
tcf(c_255796,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239395]) ).
tcf(c_255797,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239348]) ).
tcf(c_255798,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_239302]) ).
tcf(c_255799,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239262]) ).
tcf(c_255802,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_239216]) ).
tcf(c_255803,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239155]) ).
tcf(c_255806,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_239051]) ).
tcf(c_255807,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_239050]) ).
tcf(c_255808,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_239026]) ).
tcf(c_255809,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_238997]) ).
tcf(c_255813,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_255244,c_239969]) ).
tcf(c_255814,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_255244,c_239817]) ).
tcf(c_255819,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_255244,c_645]) ).
tcf(c_255820,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255244,c_644]) ).
tcf(c_255822,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_255244,c_667]) ).
tcf(c_255823,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_255244,c_664]) ).
tcf(c_255824,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_255244,c_640]) ).
tcf(c_255825,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255244,c_636]) ).
tcf(c_255826,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255244,c_632]) ).
tcf(c_255828,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255244,c_627]) ).
tcf(c_256026,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255603,c_252516]) ).
tcf(c_256028,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255603,c_240429]) ).
tcf(c_256057,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255607,c_252516]) ).
tcf(c_256059,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_15) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255607,c_240410]) ).
tcf(c_256060,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255607,c_240408]) ).
tcf(c_256061,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255607,c_240406]) ).
tcf(c_256063,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_256061,c_248636]) ).
tcf(c_256066,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_256060,c_249382]) ).
tcf(c_256069,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,sk_c11) = multiply(iPr_def_28,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_256059,c_249913]) ).
tcf(c_256115,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255824,c_252516]) ).
tcf(c_256117,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255824,c_240424]) ).
tcf(c_256124,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255825,c_252516]) ).
tcf(c_256126,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255825,c_240428]) ).
tcf(c_256150,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_255245,c_241246]) ).
tcf(c_256151,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255245,c_241138]) ).
tcf(c_256152,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_255245,c_252535]) ).
tcf(c_256155,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_242187]) ).
tcf(c_256157,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_242005]) ).
tcf(c_256158,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_241904]) ).
tcf(c_256159,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_241846]) ).
tcf(c_256160,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_255245,c_240410]) ).
tcf(c_256161,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_255245,c_240408]) ).
tcf(c_256162,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_255245,c_240406]) ).
tcf(c_256163,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_255245,c_240404]) ).
tcf(c_256164,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_240192]) ).
tcf(c_256165,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_240091]) ).
tcf(c_256166,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239979]) ).
tcf(c_256167,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239900]) ).
tcf(c_256168,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239825]) ).
tcf(c_256171,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239754]) ).
tcf(c_256172,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239717]) ).
tcf(c_256173,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239648]) ).
tcf(c_256174,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239578]) ).
tcf(c_256175,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239504]) ).
tcf(c_256176,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239459]) ).
tcf(c_256177,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239395]) ).
tcf(c_256178,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239348]) ).
tcf(c_256179,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239302]) ).
tcf(c_256180,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239262]) ).
tcf(c_256183,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239216]) ).
tcf(c_256184,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239155]) ).
tcf(c_256187,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239051]) ).
tcf(c_256188,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239050]) ).
tcf(c_256189,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_239026]) ).
tcf(c_256190,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_238997]) ).
tcf(c_256194,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239969]) ).
tcf(c_256195,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_239817]) ).
tcf(c_256200,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_255245,c_645]) ).
tcf(c_256201,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255245,c_644]) ).
tcf(c_256203,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_255245,c_667]) ).
tcf(c_256204,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_255245,c_664]) ).
tcf(c_256205,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_255245,c_640]) ).
tcf(c_256206,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255245,c_636]) ).
tcf(c_256207,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255245,c_632]) ).
tcf(c_256209,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255245,c_627]) ).
tcf(c_256451,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_255246,c_241246]) ).
tcf(c_256452,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255246,c_241138]) ).
tcf(c_256453,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_255246,c_252535]) ).
tcf(c_256456,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_242187]) ).
tcf(c_256458,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_242005]) ).
tcf(c_256459,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_241904]) ).
tcf(c_256460,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_241846]) ).
tcf(c_256461,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_255246,c_240410]) ).
tcf(c_256462,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_255246,c_240408]) ).
tcf(c_256463,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_255246,c_240406]) ).
tcf(c_256464,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_255246,c_240404]) ).
tcf(c_256465,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_240192]) ).
tcf(c_256466,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_240091]) ).
tcf(c_256467,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239979]) ).
tcf(c_256468,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239900]) ).
tcf(c_256469,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239825]) ).
tcf(c_256472,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239754]) ).
tcf(c_256473,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_239717]) ).
tcf(c_256474,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239648]) ).
tcf(c_256475,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_239578]) ).
tcf(c_256476,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239504]) ).
tcf(c_256477,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239459]) ).
tcf(c_256478,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239395]) ).
tcf(c_256479,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239348]) ).
tcf(c_256480,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_239302]) ).
tcf(c_256481,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239262]) ).
tcf(c_256484,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_239216]) ).
tcf(c_256485,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239155]) ).
tcf(c_256488,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_239051]) ).
tcf(c_256489,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_239050]) ).
tcf(c_256490,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_239026]) ).
tcf(c_256491,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_238997]) ).
tcf(c_256495,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_255246,c_239969]) ).
tcf(c_256496,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_255246,c_239817]) ).
tcf(c_256501,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_255246,c_645]) ).
tcf(c_256502,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255246,c_644]) ).
tcf(c_256504,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_255246,c_667]) ).
tcf(c_256505,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_255246,c_664]) ).
tcf(c_256506,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_255246,c_640]) ).
tcf(c_256507,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255246,c_636]) ).
tcf(c_256508,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255246,c_632]) ).
tcf(c_256510,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255246,c_627]) ).
tcf(c_257064,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_23)) != sk_c10 )
| ( multiply(sk_c4,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252729,c_645]) ).
tcf(c_257065,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_23)) != sk_c11 )
| ( multiply(sk_c4,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252729,c_644]) ).
tcf(c_257066,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_23)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_252729,c_252516]) ).
tcf(c_257067,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_23),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_252729,c_105]) ).
tcf(c_257068,plain,
multiply(sk_c4,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_252729,c_104]) ).
tcf(c_257069,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_23))) != inverse(X0) )
| ( multiply(sk_c4,inverse(X0)) != inverse(inverse(iPr_def_23)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252729,c_643]) ).
tcf(c_257070,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_23)) != sk_c11 )
| ( multiply(sk_c4,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252729,c_647]) ).
tcf(c_257071,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_23)) != sk_c10 )
| ( multiply(sk_c4,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252729,c_646]) ).
tcf(c_257072,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_252729,c_252516]) ).
tcf(c_257073,plain,
multiply(sk_c4,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_252729,c_253509]) ).
tcf(c_257080,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_257065,c_636]) ).
tcf(c_257084,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_257064,c_636]) ).
tcf(c_257093,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_242392,c_257068]) ).
tcf(c_257094,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_239081,c_257068]) ).
tcf(c_257173,plain,
multiply(inverse(sk_c4),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_257068,c_252516]) ).
tcf(c_257174,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_257068,c_105]) ).
tcf(c_257175,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_257068,c_240428]) ).
tcf(c_257205,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_24 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_257093,c_254482]) ).
tcf(c_257206,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_257093,c_253509]) ).
tcf(c_257207,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_257093,c_103]) ).
tcf(c_257208,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_257093,c_64051]) ).
tcf(c_257224,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257094,c_254484]) ).
tcf(c_257225,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257094,c_254483]) ).
tcf(c_257227,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_257094,c_253509]) ).
tcf(c_257228,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_257094,c_103]) ).
tcf(c_257229,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_257094,c_64051]) ).
tcf(c_257267,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255826,c_252516]) ).
tcf(c_257269,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_255826,c_240409]) ).
tcf(c_257270,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_255826,c_240407]) ).
tcf(c_257272,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_257270,c_249112]) ).
tcf(c_257275,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_257269,c_249871]) ).
tcf(c_257329,plain,
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255828,c_647]) ).
tcf(c_257330,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255828,c_243033]) ).
tcf(c_257337,plain,
inverse(iPr_def_23) = sk_c4,
inference(demodulation,[status(thm)],[c_257073,c_253509]) ).
tcf(c_257341,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c11 )
| ( multiply(inverse(iPr_def_23),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257337,c_643]) ).
tcf(c_257342,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != identity )
| ( inverse(inverse(X0)) != sk_c4 )
| ( multiply(X0,sk_c4) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_257341,c_636,c_239326,c_257337]) ).
tcf(c_257348,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_242395,c_257072]) ).
tcf(c_257349,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_238915,c_257072]) ).
tcf(c_257351,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242946,c_257072]) ).
tcf(c_257352,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242947,c_257072]) ).
tcf(c_257353,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242948,c_257072]) ).
tcf(c_257354,plain,
multiply(sk_c4,sk_c10) = iPr_def_24,
inference(superposition,[status(thm)],[c_243686,c_257072]) ).
tcf(c_257357,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_257072,c_252516]) ).
tcf(c_257358,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_257072,c_105]) ).
tcf(c_257360,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_257353,c_248636]) ).
tcf(c_257363,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_257352,c_248636]) ).
tcf(c_257366,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_257351,c_248636]) ).
tcf(c_257369,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_257349,c_248636]) ).
tcf(c_257372,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_257348,c_248636]) ).
tcf(c_257423,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_257205,c_243048]) ).
tcf(c_257440,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_257205,c_243038]) ).
tcf(c_257441,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_257205,c_240424]) ).
tcf(c_257442,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_257205,c_239330]) ).
tcf(c_257465,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_239328,c_243326]) ).
tcf(c_257466,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_240426,c_243326]) ).
tcf(c_257467,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_243371,c_243326]) ).
tcf(c_257468,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243392,c_243326]) ).
tcf(c_257470,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243326,c_252516]) ).
tcf(c_257471,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243326,c_105]) ).
tcf(c_257478,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_257470,c_252732]) ).
tcf(c_257504,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243327,c_252516]) ).
tcf(c_257505,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243327,c_105]) ).
tcf(c_257506,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_257504,c_252732]) ).
tcf(c_257527,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_239328,c_243328]) ).
tcf(c_257528,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_240426,c_243328]) ).
tcf(c_257529,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_243371,c_243328]) ).
tcf(c_257530,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243392,c_243328]) ).
tcf(c_257532,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243328,c_252516]) ).
tcf(c_257533,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243328,c_105]) ).
tcf(c_257540,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_257532,c_252732]) ).
tcf(c_257553,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256205,c_252516]) ).
tcf(c_257555,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256205,c_240424]) ).
tcf(c_257568,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256206,c_252516]) ).
tcf(c_257570,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256206,c_240428]) ).
tcf(c_257597,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256207,c_252516]) ).
tcf(c_257599,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_256207,c_240409]) ).
tcf(c_257600,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_256207,c_240407]) ).
tcf(c_257602,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_257600,c_249112]) ).
tcf(c_257605,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_257599,c_249871]) ).
tcf(c_257655,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256209,c_647]) ).
tcf(c_257656,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_256209,c_243033]) ).
tcf(c_257685,plain,
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_257224,c_241246]) ).
tcf(c_257686,plain,
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_257224,c_241138]) ).
tcf(c_257687,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_257224,c_252535]) ).
tcf(c_257695,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_257224,c_240410]) ).
tcf(c_257696,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_257224,c_240408]) ).
tcf(c_257697,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_257224,c_240406]) ).
tcf(c_257698,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_257224,c_240404]) ).
tcf(c_257699,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_240192]) ).
tcf(c_257700,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_240091]) ).
tcf(c_257701,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239979]) ).
tcf(c_257702,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239900]) ).
tcf(c_257703,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239825]) ).
tcf(c_257706,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239754]) ).
tcf(c_257707,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_239717]) ).
tcf(c_257708,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239648]) ).
tcf(c_257709,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_239578]) ).
tcf(c_257710,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239504]) ).
tcf(c_257711,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239459]) ).
tcf(c_257712,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239395]) ).
tcf(c_257713,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239348]) ).
tcf(c_257714,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_239302]) ).
tcf(c_257715,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239262]) ).
tcf(c_257718,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_239216]) ).
tcf(c_257719,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239155]) ).
tcf(c_257722,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_239051]) ).
tcf(c_257723,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_239050]) ).
tcf(c_257724,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_239026]) ).
tcf(c_257725,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_238997]) ).
tcf(c_257735,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_257224,c_645]) ).
tcf(c_257736,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257224,c_644]) ).
tcf(c_257738,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_257224,c_667]) ).
tcf(c_257739,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_257224,c_664]) ).
tcf(c_257740,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_257224,c_640]) ).
tcf(c_257741,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_257224,c_636]) ).
tcf(c_257742,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_257224,c_632]) ).
tcf(c_257743,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257224,c_657]) ).
tcf(c_257744,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_257224,c_627]) ).
tcf(c_257745,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257224,c_654]) ).
tcf(c_258014,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_21)) != sk_c10 )
| ( multiply(sk_c5,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252730,c_645]) ).
tcf(c_258015,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_21)) != sk_c11 )
| ( multiply(sk_c5,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252730,c_644]) ).
tcf(c_258016,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_21)),multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_252730,c_252516]) ).
tcf(c_258017,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_21),multiply(X0,X1)) = multiply(multiply(sk_c5,X0),X1),
inference(superposition,[status(thm)],[c_252730,c_105]) ).
tcf(c_258018,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_252730,c_104]) ).
tcf(c_258019,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_21))) != inverse(X0) )
| ( multiply(sk_c5,inverse(X0)) != inverse(inverse(iPr_def_21)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252730,c_643]) ).
tcf(c_258020,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_21)) != sk_c11 )
| ( multiply(sk_c5,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252730,c_647]) ).
tcf(c_258021,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_21)) != sk_c10 )
| ( multiply(sk_c5,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252730,c_646]) ).
tcf(c_258022,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_252730,c_252516]) ).
tcf(c_258023,plain,
multiply(sk_c5,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_252730,c_253509]) ).
tcf(c_258041,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_240191,c_258018]) ).
tcf(c_258042,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_239716,c_258018]) ).
tcf(c_258043,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_239301,c_258018]) ).
tcf(c_258044,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_239070,c_258018]) ).
tcf(c_258045,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_239068,c_258018]) ).
tcf(c_258056,plain,
multiply(inverse(sk_c5),identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_258018,c_252516]) ).
tcf(c_258057,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_258018,c_105]) ).
tcf(c_258058,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_258018,c_240427]) ).
tcf(c_258061,plain,
inverse(iPr_def_21) = sk_c5,
inference(demodulation,[status(thm)],[c_258023,c_253509]) ).
tcf(c_258065,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c11 )
| ( multiply(inverse(iPr_def_21),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258061,c_643]) ).
tcf(c_258066,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c5,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c5 )
| ( multiply(X0,sk_c5) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_258065,c_239327,c_258061]) ).
tcf(c_258077,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243329,c_252516]) ).
tcf(c_258078,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243329,c_105]) ).
tcf(c_258079,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258077,c_252732]) ).
tcf(c_258088,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_239328,c_243330]) ).
tcf(c_258089,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_240426,c_243330]) ).
tcf(c_258090,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_243371,c_243330]) ).
tcf(c_258091,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243392,c_243330]) ).
tcf(c_258093,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243330,c_252516]) ).
tcf(c_258094,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243330,c_105]) ).
tcf(c_258101,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258093,c_252732]) ).
tcf(c_258153,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243331,c_252516]) ).
tcf(c_258154,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243331,c_105]) ).
tcf(c_258155,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258153,c_252732]) ).
tcf(c_258164,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_239328,c_243332]) ).
tcf(c_258165,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_240426,c_243332]) ).
tcf(c_258166,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_243371,c_243332]) ).
tcf(c_258167,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243392,c_243332]) ).
tcf(c_258169,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243332,c_252516]) ).
tcf(c_258170,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243332,c_105]) ).
tcf(c_258177,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258169,c_252732]) ).
tcf(c_258195,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243333,c_252516]) ).
tcf(c_258196,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243333,c_105]) ).
tcf(c_258197,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258195,c_252732]) ).
tcf(c_258206,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_239328,c_243334]) ).
tcf(c_258207,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_240426,c_243334]) ).
tcf(c_258208,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_243371,c_243334]) ).
tcf(c_258209,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243392,c_243334]) ).
tcf(c_258211,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243334,c_252516]) ).
tcf(c_258212,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243334,c_105]) ).
tcf(c_258219,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258211,c_252732]) ).
tcf(c_258245,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_243335,c_252516]) ).
tcf(c_258246,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243335,c_105]) ).
tcf(c_258247,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_258245,c_252732]) ).
tcf(c_258256,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249545,c_252516]) ).
tcf(c_258257,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_249545,c_105]) ).
tcf(c_258258,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_258256,c_249556,c_258061]) ).
tcf(c_258274,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258041,c_257094]) ).
tcf(c_258275,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258041,c_257093]) ).
tcf(c_258276,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258041,c_254484]) ).
tcf(c_258277,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258041,c_254483]) ).
tcf(c_258278,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258041,c_254482]) ).
tcf(c_258279,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_258041,c_253509]) ).
tcf(c_258280,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258041,c_103]) ).
tcf(c_258281,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258041,c_64051]) ).
tcf(c_258397,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258042,c_257094]) ).
tcf(c_258398,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_258042,c_257093]) ).
tcf(c_258399,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258042,c_254484]) ).
tcf(c_258400,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258042,c_254483]) ).
tcf(c_258401,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_258042,c_254482]) ).
tcf(c_258402,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_258042,c_253509]) ).
tcf(c_258403,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258042,c_103]) ).
tcf(c_258404,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258042,c_64051]) ).
tcf(c_258440,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258043,c_257094]) ).
tcf(c_258441,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_258043,c_257093]) ).
tcf(c_258442,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258043,c_254484]) ).
tcf(c_258443,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258043,c_254483]) ).
tcf(c_258444,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_258043,c_254482]) ).
tcf(c_258445,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_258043,c_253509]) ).
tcf(c_258446,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258043,c_103]) ).
tcf(c_258447,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258043,c_64051]) ).
tcf(c_258496,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258044,c_257094]) ).
tcf(c_258498,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258044,c_254484]) ).
tcf(c_258499,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258044,c_254483]) ).
tcf(c_258501,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_258044,c_253509]) ).
tcf(c_258502,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258044,c_103]) ).
tcf(c_258503,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258044,c_64051]) ).
tcf(c_258518,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240192,c_258022]) ).
tcf(c_258519,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239717,c_258022]) ).
tcf(c_258520,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239302,c_258022]) ).
tcf(c_258521,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239052,c_258022]) ).
tcf(c_258522,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239050,c_258022]) ).
tcf(c_258523,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_239327,c_258022]) ).
tcf(c_258524,plain,
multiply(sk_c5,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_243395,c_258022]) ).
tcf(c_258526,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244486,c_258022]) ).
tcf(c_258527,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244487,c_258022]) ).
tcf(c_258528,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249545,c_258022]) ).
tcf(c_258530,plain,
! [X0: $i] : multiply(inverse(sk_c5),X0) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_258022,c_252516]) ).
tcf(c_258531,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_258022,c_105]) ).
tcf(c_258533,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_258527,c_249112]) ).
tcf(c_258536,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_258526,c_249112]) ).
tcf(c_258539,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_258522,c_249112]) ).
tcf(c_258542,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_258521,c_249112]) ).
tcf(c_258545,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_258520,c_249112]) ).
tcf(c_258548,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_258519,c_249112]) ).
tcf(c_258551,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_258518,c_249112]) ).
tcf(c_258602,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258045,c_257094]) ).
tcf(c_258603,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258045,c_257093]) ).
tcf(c_258605,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258045,c_254483]) ).
tcf(c_258607,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_258045,c_253509]) ).
tcf(c_258608,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258045,c_103]) ).
tcf(c_258609,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258045,c_64051]) ).
tcf(c_258690,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_254919]) ).
tcf(c_258691,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258496,c_241246]) ).
tcf(c_258692,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_258496,c_241138]) ).
tcf(c_258693,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_258496,c_252535]) ).
tcf(c_258694,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_242520]) ).
tcf(c_258695,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_242260]) ).
tcf(c_258697,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_242060]) ).
tcf(c_258701,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_258496,c_240410]) ).
tcf(c_258702,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_258496,c_240408]) ).
tcf(c_258703,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_258496,c_240406]) ).
tcf(c_258704,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_258496,c_240404]) ).
tcf(c_258705,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_240192]) ).
tcf(c_258706,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_240091]) ).
tcf(c_258707,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239979]) ).
tcf(c_258708,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239900]) ).
tcf(c_258709,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239825]) ).
tcf(c_258712,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239754]) ).
tcf(c_258713,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_239717]) ).
tcf(c_258714,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239648]) ).
tcf(c_258715,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_239578]) ).
tcf(c_258716,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239504]) ).
tcf(c_258717,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239459]) ).
tcf(c_258718,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239395]) ).
tcf(c_258719,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239348]) ).
tcf(c_258720,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_239302]) ).
tcf(c_258721,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239262]) ).
tcf(c_258724,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_239216]) ).
tcf(c_258725,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239155]) ).
tcf(c_258728,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_239051]) ).
tcf(c_258729,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_239050]) ).
tcf(c_258730,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_239026]) ).
tcf(c_258731,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_238997]) ).
tcf(c_258735,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_258496,c_239969]) ).
tcf(c_258736,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_258496,c_239817]) ).
tcf(c_258738,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258496,c_239153]) ).
tcf(c_258741,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_258496,c_645]) ).
tcf(c_258742,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258496,c_644]) ).
tcf(c_258744,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_258496,c_667]) ).
tcf(c_258745,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_258496,c_664]) ).
tcf(c_258746,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_258496,c_640]) ).
tcf(c_258747,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_258496,c_636]) ).
tcf(c_258748,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258496,c_632]) ).
tcf(c_258749,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258496,c_657]) ).
tcf(c_258750,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258496,c_627]) ).
tcf(c_258751,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258496,c_654]) ).
tcf(c_259010,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255242,c_249546]) ).
tcf(c_259011,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254621,c_249546]) ).
tcf(c_259028,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_239891,c_249546]) ).
tcf(c_259029,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_239747,c_249546]) ).
tcf(c_259031,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_239642,c_249546]) ).
tcf(c_259045,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_666,c_249546]) ).
tcf(c_259046,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_663,c_249546]) ).
tcf(c_259047,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_661,c_249546]) ).
tcf(c_259048,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_249546]) ).
tcf(c_259049,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_249546]) ).
tcf(c_259050,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_249546]) ).
tcf(c_259051,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249546,c_252516]) ).
tcf(c_259052,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_249546,c_105]) ).
tcf(c_259053,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_249546,c_647]) ).
tcf(c_259150,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249547,c_252516]) ).
tcf(c_259151,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_249547,c_105]) ).
tcf(c_259152,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249547,c_258022]) ).
tcf(c_259153,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_259152,c_249556]) ).
tcf(c_259210,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255242,c_249548]) ).
tcf(c_259211,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254621,c_249548]) ).
tcf(c_259228,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_239891,c_249548]) ).
tcf(c_259229,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_239747,c_249548]) ).
tcf(c_259231,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_239642,c_249548]) ).
tcf(c_259245,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_666,c_249548]) ).
tcf(c_259246,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_663,c_249548]) ).
tcf(c_259247,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_661,c_249548]) ).
tcf(c_259248,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_249548]) ).
tcf(c_259249,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_249548]) ).
tcf(c_259250,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_249548]) ).
tcf(c_259251,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249548,c_252516]) ).
tcf(c_259252,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_249548,c_105]) ).
tcf(c_259253,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_249548,c_647]) ).
tcf(c_259309,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249549,c_252516]) ).
tcf(c_259310,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_249549,c_105]) ).
tcf(c_259311,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249549,c_258022]) ).
tcf(c_259312,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_259311,c_249556]) ).
tcf(c_259332,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255242,c_249550]) ).
tcf(c_259333,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254621,c_249550]) ).
tcf(c_259350,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_239891,c_249550]) ).
tcf(c_259351,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_239747,c_249550]) ).
tcf(c_259353,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_239642,c_249550]) ).
tcf(c_259367,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_666,c_249550]) ).
tcf(c_259368,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_663,c_249550]) ).
tcf(c_259369,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_661,c_249550]) ).
tcf(c_259370,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_249550]) ).
tcf(c_259371,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_249550]) ).
tcf(c_259372,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_249550]) ).
tcf(c_259373,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249550,c_252516]) ).
tcf(c_259374,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_249550,c_105]) ).
tcf(c_259375,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_249550,c_647]) ).
tcf(c_259440,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249551,c_252516]) ).
tcf(c_259441,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_249551,c_105]) ).
tcf(c_259442,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249551,c_258022]) ).
tcf(c_259443,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_259442,c_249556]) ).
tcf(c_259497,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255242,c_249552]) ).
tcf(c_259498,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_254621,c_249552]) ).
tcf(c_259532,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_666,c_249552]) ).
tcf(c_259533,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_663,c_249552]) ).
tcf(c_259534,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_661,c_249552]) ).
tcf(c_259535,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_249552]) ).
tcf(c_259536,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_249552]) ).
tcf(c_259537,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_249552]) ).
tcf(c_259538,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249552,c_252516]) ).
tcf(c_259539,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_249552,c_105]) ).
tcf(c_259540,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( inverse(iPr_def_20) != sk_c11 )
| ( multiply(iPr_def_18,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_249552,c_647]) ).
tcf(c_259574,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249553,c_252516]) ).
tcf(c_259575,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_20,sk_c11),X0) = multiply(iPr_def_21,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_249553,c_105]) ).
tcf(c_259576,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c11)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249553,c_258022]) ).
tcf(c_259577,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_259576,c_249556]) ).
tcf(c_259589,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256506,c_252516]) ).
tcf(c_259591,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256506,c_240424]) ).
tcf(c_259598,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256507,c_252516]) ).
tcf(c_259600,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256507,c_240428]) ).
tcf(c_259627,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256508,c_252516]) ).
tcf(c_259629,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_256508,c_240409]) ).
tcf(c_259630,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_256508,c_240407]) ).
tcf(c_259632,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_259630,c_249112]) ).
tcf(c_259635,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_259629,c_249871]) ).
tcf(c_259685,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256510,c_647]) ).
tcf(c_259686,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_256510,c_243033]) ).
tcf(c_259724,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_254919]) ).
tcf(c_259725,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258498,c_241246]) ).
tcf(c_259726,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_258498,c_241138]) ).
tcf(c_259727,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_258498,c_252535]) ).
tcf(c_259728,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_242520]) ).
tcf(c_259729,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_242260]) ).
tcf(c_259731,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_242060]) ).
tcf(c_259735,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_258498,c_240410]) ).
tcf(c_259736,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_17,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_258498,c_240408]) ).
tcf(c_259737,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_258498,c_240406]) ).
tcf(c_259738,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_258498,c_240404]) ).
tcf(c_259739,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_240192]) ).
tcf(c_259740,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_240091]) ).
tcf(c_259741,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239979]) ).
tcf(c_259742,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239900]) ).
tcf(c_259743,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239825]) ).
tcf(c_259746,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239754]) ).
tcf(c_259747,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_239717]) ).
tcf(c_259748,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239648]) ).
tcf(c_259749,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_239578]) ).
tcf(c_259750,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239504]) ).
tcf(c_259751,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239459]) ).
tcf(c_259752,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239395]) ).
tcf(c_259753,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239348]) ).
tcf(c_259754,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_239302]) ).
tcf(c_259755,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_239262]) ).
tcf(c_259758,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_239216]) ).
tcf(c_259769,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_258498,c_239969]) ).
tcf(c_259770,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_258498,c_239817]) ).
tcf(c_259775,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_17) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_258498,c_645]) ).
tcf(c_259776,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258498,c_644]) ).
tcf(c_259778,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_258498,c_667]) ).
tcf(c_259779,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_258498,c_664]) ).
tcf(c_259780,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_258498,c_640]) ).
tcf(c_259781,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_258498,c_636]) ).
tcf(c_259782,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258498,c_632]) ).
tcf(c_259783,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258498,c_657]) ).
tcf(c_259784,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258498,c_627]) ).
tcf(c_259785,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258498,c_654]) ).
tcf(c_260038,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258605,c_258498]) ).
tcf(c_260039,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258605,c_258496]) ).
tcf(c_260046,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_254919]) ).
tcf(c_260047,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_27 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258605,c_241246]) ).
tcf(c_260048,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_27 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_258605,c_241138]) ).
tcf(c_260049,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_258605,c_252535]) ).
tcf(c_260050,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_242520]) ).
tcf(c_260051,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_242260]) ).
tcf(c_260053,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_242060]) ).
tcf(c_260057,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_258605,c_240410]) ).
tcf(c_260058,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_27,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_258605,c_240408]) ).
tcf(c_260059,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_27,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_258605,c_240406]) ).
tcf(c_260060,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_258605,c_240404]) ).
tcf(c_260061,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_240192]) ).
tcf(c_260062,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_240091]) ).
tcf(c_260064,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_239900]) ).
tcf(c_260066,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_239754]) ).
tcf(c_260067,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_239717]) ).
tcf(c_260068,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_239648]) ).
tcf(c_260069,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_239578]) ).
tcf(c_260071,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_239459]) ).
tcf(c_260073,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_239348]) ).
tcf(c_260074,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_239302]) ).
tcf(c_260075,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_239262]) ).
tcf(c_260078,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_239216]) ).
tcf(c_260089,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_258605,c_239969]) ).
tcf(c_260090,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_258605,c_239817]) ).
tcf(c_260091,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_258605,c_645]) ).
tcf(c_260092,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258605,c_644]) ).
tcf(c_260099,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_258605,c_640]) ).
tcf(c_260100,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_27) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_258605,c_636]) ).
tcf(c_260101,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_27) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_258605,c_632]) ).
tcf(c_260103,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_258605,c_627]) ).
tcf(c_260376,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_260038,c_241695]) ).
tcf(c_260377,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_260038,c_243033]) ).
tcf(c_260401,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_260038,c_239176]) ).
tcf(c_260402,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_260038,c_239174]) ).
tcf(c_260403,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_260038,c_239173]) ).
tcf(c_260404,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_260038,c_239172]) ).
tcf(c_260405,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_260038,c_239121]) ).
tcf(c_260406,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_260038,c_239119]) ).
tcf(c_260407,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_260038,c_239118]) ).
tcf(c_260408,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_260038,c_239117]) ).
tcf(c_260409,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_260038,c_243031]) ).
tcf(c_260410,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260038,c_240423]) ).
tcf(c_260412,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_260038,c_239331]) ).
tcf(c_260556,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c10 )
| ( multiply(sk_c7,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252731,c_645]) ).
tcf(c_260557,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_19)) != sk_c11 )
| ( multiply(sk_c7,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252731,c_644]) ).
tcf(c_260558,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_19)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_252731,c_252516]) ).
tcf(c_260559,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_19),multiply(X0,X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_252731,c_105]) ).
tcf(c_260560,plain,
multiply(sk_c7,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_252731,c_104]) ).
tcf(c_260561,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_19))) != inverse(X0) )
| ( multiply(sk_c7,inverse(X0)) != inverse(inverse(iPr_def_19)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252731,c_643]) ).
tcf(c_260562,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_19)) != sk_c11 )
| ( multiply(sk_c7,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252731,c_647]) ).
tcf(c_260563,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c10 )
| ( multiply(sk_c7,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252731,c_646]) ).
tcf(c_260564,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_252731,c_252516]) ).
tcf(c_260565,plain,
multiply(sk_c7,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_252731,c_253509]) ).
tcf(c_260686,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_255242,c_249554]) ).
tcf(c_260724,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_656,c_249554]) ).
tcf(c_260725,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_653,c_249554]) ).
tcf(c_260726,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_651,c_249554]) ).
tcf(c_260727,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249554,c_252516]) ).
tcf(c_260728,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(sk_c11,X0)) ) ),
inference(superposition,[status(thm)],[c_249554,c_105]) ).
tcf(c_260762,plain,
multiply(inverse(sk_c7),identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_260560,c_252516]) ).
tcf(c_260763,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_260560,c_105]) ).
tcf(c_260764,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_260560,c_240426]) ).
tcf(c_260772,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_257207,c_645]) ).
tcf(c_260773,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257207,c_644]) ).
tcf(c_260774,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_257207,c_252516]) ).
tcf(c_260775,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_257207,c_105]) ).
tcf(c_260776,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257207,c_643]) ).
tcf(c_260777,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257207,c_647]) ).
tcf(c_260778,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_257207,c_646]) ).
tcf(c_260779,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_257207,c_243688]) ).
tcf(c_260815,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257228,c_644]) ).
tcf(c_260816,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_257228,c_252516]) ).
tcf(c_260817,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_257228,c_105]) ).
tcf(c_260818,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257228,c_643]) ).
tcf(c_260820,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_257228,c_646]) ).
tcf(c_260821,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_257228,c_243688]) ).
tcf(c_260850,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257740,c_252516]) ).
tcf(c_260852,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257740,c_240424]) ).
tcf(c_260859,plain,
inverse(iPr_def_19) = sk_c7,
inference(demodulation,[status(thm)],[c_260565,c_253509]) ).
tcf(c_260861,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_240136,c_260859]) ).
tcf(c_260862,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_239611,c_260859]) ).
tcf(c_260863,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_239241,c_260859]) ).
tcf(c_260864,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_238984,c_260859]) ).
tcf(c_260865,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_238924,c_260859]) ).
tcf(c_260878,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_260859,c_643]) ).
tcf(c_260879,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c7,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c7 )
| ( multiply(X0,sk_c7) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_260878,c_239328,c_260859]) ).
tcf(c_260886,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_239328,c_260564]) ).
tcf(c_260887,plain,
multiply(sk_c7,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_243371,c_260564]) ).
tcf(c_260890,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_260564,c_252516]) ).
tcf(c_260891,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_260564,c_105]) ).
tcf(c_260958,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_260861,c_249871]) ).
tcf(c_260960,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_240193]) ).
tcf(c_260961,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_240092]) ).
tcf(c_260962,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239718]) ).
tcf(c_260963,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239579]) ).
tcf(c_260964,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239303]) ).
tcf(c_260965,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239217]) ).
tcf(c_260966,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239038]) ).
tcf(c_260967,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239037]) ).
tcf(c_260968,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239036]) ).
tcf(c_260969,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260861,c_239035]) ).
tcf(c_260970,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260861,c_240426]) ).
tcf(c_260971,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_260861,c_239328]) ).
tcf(c_260973,plain,
( ( sk_c9 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_260861,c_631]) ).
tcf(c_261076,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_255822,c_255246]) ).
tcf(c_261079,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_255822,c_255244]) ).
tcf(c_261080,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_254919]) ).
tcf(c_261081,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_255822,c_241246]) ).
tcf(c_261082,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255822,c_241138]) ).
tcf(c_261083,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_255822,c_252535]) ).
tcf(c_261084,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_242520]) ).
tcf(c_261085,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_242260]) ).
tcf(c_261087,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_242060]) ).
tcf(c_261091,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_255822,c_240410]) ).
tcf(c_261092,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_255822,c_240408]) ).
tcf(c_261093,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_255822,c_240406]) ).
tcf(c_261094,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_255822,c_240404]) ).
tcf(c_261095,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_240192]) ).
tcf(c_261096,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_240091]) ).
tcf(c_261098,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239900]) ).
tcf(c_261102,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239754]) ).
tcf(c_261103,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_239717]) ).
tcf(c_261104,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239648]) ).
tcf(c_261105,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_239578]) ).
tcf(c_261107,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239459]) ).
tcf(c_261109,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239348]) ).
tcf(c_261110,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_239302]) ).
tcf(c_261111,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239262]) ).
tcf(c_261113,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_239216]) ).
tcf(c_261114,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239155]) ).
tcf(c_261117,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_239051]) ).
tcf(c_261118,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_239050]) ).
tcf(c_261119,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_239026]) ).
tcf(c_261120,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_238997]) ).
tcf(c_261129,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_255822,c_645]) ).
tcf(c_261130,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255822,c_644]) ).
tcf(c_261137,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_255822,c_238883]) ).
tcf(c_261140,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_255822,c_640]) ).
tcf(c_261141,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_255822,c_636]) ).
tcf(c_261142,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_255822,c_632]) ).
tcf(c_261143,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255822,c_627]) ).
tcf(c_261386,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_255823,c_62784]) ).
tcf(c_261421,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261386,c_258496]) ).
tcf(c_261422,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261386,c_257224]) ).
tcf(c_261424,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_261386,c_255246]) ).
tcf(c_261425,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_255245]) ).
tcf(c_261427,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_261386,c_255244]) ).
tcf(c_261428,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_254919]) ).
tcf(c_261429,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_261386,c_241246]) ).
tcf(c_261430,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_261386,c_241138]) ).
tcf(c_261431,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(iPr_def_23),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_261386,c_252535]) ).
tcf(c_261432,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_242520]) ).
tcf(c_261433,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_242260]) ).
tcf(c_261435,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_242060]) ).
tcf(c_261439,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_23,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_261386,c_240410]) ).
tcf(c_261440,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_261386,c_240408]) ).
tcf(c_261441,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_261386,c_240406]) ).
tcf(c_261442,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_261386,c_240404]) ).
tcf(c_261443,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_240192]) ).
tcf(c_261444,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_240091]) ).
tcf(c_261445,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239979]) ).
tcf(c_261446,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239900]) ).
tcf(c_261450,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239754]) ).
tcf(c_261451,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_239717]) ).
tcf(c_261452,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239648]) ).
tcf(c_261453,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_239578]) ).
tcf(c_261454,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239504]) ).
tcf(c_261455,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239459]) ).
tcf(c_261457,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239348]) ).
tcf(c_261458,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_239302]) ).
tcf(c_261459,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239262]) ).
tcf(c_261461,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_239216]) ).
tcf(c_261462,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239155]) ).
tcf(c_261465,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_239051]) ).
tcf(c_261466,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_239050]) ).
tcf(c_261467,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_239026]) ).
tcf(c_261468,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_238997]) ).
tcf(c_261477,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_261386,c_645]) ).
tcf(c_261478,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_261386,c_644]) ).
tcf(c_261485,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_261386,c_238883]) ).
tcf(c_261486,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_261386,c_667]) ).
tcf(c_261488,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_261386,c_640]) ).
tcf(c_261489,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_261386,c_636]) ).
tcf(c_261490,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261386,c_632]) ).
tcf(c_261492,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261386,c_627]) ).
tcf(c_261497,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_261489,c_257068]) ).
tcf(c_261588,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_261441,c_257072]) ).
tcf(c_261870,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_255246]) ).
tcf(c_261871,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_255245]) ).
tcf(c_261874,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_254919]) ).
tcf(c_261875,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_256203,c_241246]) ).
tcf(c_261876,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_256203,c_241138]) ).
tcf(c_261877,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_256203,c_252535]) ).
tcf(c_261878,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_242520]) ).
tcf(c_261879,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_242260]) ).
tcf(c_261881,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_242060]) ).
tcf(c_261885,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_256203,c_240410]) ).
tcf(c_261886,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_256203,c_240408]) ).
tcf(c_261887,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_256203,c_240406]) ).
tcf(c_261888,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_256203,c_240404]) ).
tcf(c_261889,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_240192]) ).
tcf(c_261890,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_240091]) ).
tcf(c_261892,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239900]) ).
tcf(c_261896,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239754]) ).
tcf(c_261897,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_239717]) ).
tcf(c_261898,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239648]) ).
tcf(c_261899,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_239578]) ).
tcf(c_261901,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239459]) ).
tcf(c_261903,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239348]) ).
tcf(c_261904,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_239302]) ).
tcf(c_261905,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239262]) ).
tcf(c_261907,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_239216]) ).
tcf(c_261908,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239155]) ).
tcf(c_261911,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_239051]) ).
tcf(c_261912,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_239050]) ).
tcf(c_261913,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_239026]) ).
tcf(c_261914,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_238997]) ).
tcf(c_261923,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_256203,c_645]) ).
tcf(c_261924,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256203,c_644]) ).
tcf(c_261931,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_238883]) ).
tcf(c_261934,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_256203,c_640]) ).
tcf(c_261935,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_256203,c_636]) ).
tcf(c_261936,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256203,c_632]) ).
tcf(c_261937,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256203,c_627]) ).
tcf(c_262175,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_256504,c_255246]) ).
tcf(c_262179,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_254919]) ).
tcf(c_262180,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_256504,c_241246]) ).
tcf(c_262181,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_256504,c_241138]) ).
tcf(c_262182,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_256504,c_252535]) ).
tcf(c_262183,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_242520]) ).
tcf(c_262184,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_242260]) ).
tcf(c_262186,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_242060]) ).
tcf(c_262190,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_256504,c_240410]) ).
tcf(c_262191,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_256504,c_240408]) ).
tcf(c_262192,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_256504,c_240406]) ).
tcf(c_262193,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_256504,c_240404]) ).
tcf(c_262194,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_240192]) ).
tcf(c_262195,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_240091]) ).
tcf(c_262197,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239900]) ).
tcf(c_262201,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239754]) ).
tcf(c_262202,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_239717]) ).
tcf(c_262203,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239648]) ).
tcf(c_262204,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_239578]) ).
tcf(c_262206,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239459]) ).
tcf(c_262208,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239348]) ).
tcf(c_262209,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_239302]) ).
tcf(c_262210,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239262]) ).
tcf(c_262212,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_239216]) ).
tcf(c_262213,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239155]) ).
tcf(c_262216,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_239051]) ).
tcf(c_262217,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_239050]) ).
tcf(c_262218,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_239026]) ).
tcf(c_262219,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_238997]) ).
tcf(c_262228,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_256504,c_645]) ).
tcf(c_262229,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256504,c_644]) ).
tcf(c_262236,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_256504,c_238883]) ).
tcf(c_262239,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_256504,c_640]) ).
tcf(c_262240,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_256504,c_636]) ).
tcf(c_262241,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_256504,c_632]) ).
tcf(c_262242,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_256504,c_627]) ).
tcf(c_262546,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_261497,c_258045]) ).
tcf(c_262547,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_261497,c_258044]) ).
tcf(c_262548,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_261497,c_258043]) ).
tcf(c_262549,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_261497,c_258042]) ).
tcf(c_262550,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c9 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261497,c_258041]) ).
tcf(c_262551,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_261497,c_254484]) ).
tcf(c_262552,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_261497,c_254483]) ).
tcf(c_262554,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_261497,c_253509]) ).
tcf(c_262556,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_261497,c_64051]) ).
tcf(c_262605,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_260973,c_643]) ).
tcf(c_262616,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257741,c_252516]) ).
tcf(c_262618,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257741,c_240428]) ).
tcf(c_262645,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257742,c_252516]) ).
tcf(c_262647,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_257742,c_240409]) ).
tcf(c_262648,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_257742,c_240407]) ).
tcf(c_262650,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_262648,c_249112]) ).
tcf(c_262653,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_262647,c_249871]) ).
tcf(c_262663,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_260862,c_249871]) ).
tcf(c_262667,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239718]) ).
tcf(c_262668,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239579]) ).
tcf(c_262669,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239303]) ).
tcf(c_262670,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239217]) ).
tcf(c_262671,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239038]) ).
tcf(c_262672,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239037]) ).
tcf(c_262673,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239036]) ).
tcf(c_262674,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260862,c_239035]) ).
tcf(c_262675,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260862,c_240426]) ).
tcf(c_262676,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_260862,c_239328]) ).
tcf(c_262678,plain,
( ( sk_c11 = iPr_def_29 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_260862,c_631]) ).
tcf(c_262716,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_260863,c_249871]) ).
tcf(c_262722,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260863,c_239303]) ).
tcf(c_262723,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260863,c_239217]) ).
tcf(c_262724,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260863,c_239038]) ).
tcf(c_262725,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260863,c_239037]) ).
tcf(c_262726,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260863,c_239036]) ).
tcf(c_262727,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260863,c_239035]) ).
tcf(c_262728,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260863,c_240426]) ).
tcf(c_262729,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_260863,c_239328]) ).
tcf(c_262731,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_260863,c_631]) ).
tcf(c_262780,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_260864,c_249871]) ).
tcf(c_262788,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260864,c_239038]) ).
tcf(c_262789,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260864,c_239037]) ).
tcf(c_262790,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260864,c_239036]) ).
tcf(c_262791,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260864,c_239035]) ).
tcf(c_262792,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260864,c_240426]) ).
tcf(c_262793,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_260864,c_239328]) ).
tcf(c_262795,plain,
( ( sk_c10 = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_260864,c_631]) ).
tcf(c_262821,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_260865,c_249871]) ).
tcf(c_262829,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260865,c_239038]) ).
tcf(c_262830,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_260865,c_239037]) ).
tcf(c_262833,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260865,c_240426]) ).
tcf(c_262834,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_260865,c_239328]) ).
tcf(c_262836,plain,
( ( sk_c10 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_260865,c_631]) ).
tcf(c_262851,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_257738,c_23983]) ).
tcf(c_262857,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_262851,c_241695]) ).
tcf(c_262858,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_262851,c_243033]) ).
tcf(c_262882,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_262851,c_239176]) ).
tcf(c_262883,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_262851,c_239174]) ).
tcf(c_262884,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_262851,c_239173]) ).
tcf(c_262885,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_262851,c_239172]) ).
tcf(c_262886,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_262851,c_239121]) ).
tcf(c_262887,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_262851,c_239119]) ).
tcf(c_262888,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_262851,c_239118]) ).
tcf(c_262889,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_262851,c_239117]) ).
tcf(c_262890,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_262851,c_243031]) ).
tcf(c_262891,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_262851,c_240423]) ).
tcf(c_262893,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_262851,c_239331]) ).
tcf(c_262934,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_258744,c_23981]) ).
tcf(c_262940,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_28,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_262934,c_241695]) ).
tcf(c_262941,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_262934,c_243033]) ).
tcf(c_262965,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_262934,c_239176]) ).
tcf(c_262966,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_262934,c_239174]) ).
tcf(c_262967,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_262934,c_239173]) ).
tcf(c_262968,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_262934,c_239172]) ).
tcf(c_262969,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_262934,c_239121]) ).
tcf(c_262970,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_262934,c_239119]) ).
tcf(c_262971,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_262934,c_239118]) ).
tcf(c_262972,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_262934,c_239117]) ).
tcf(c_262973,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_262934,c_243031]) ).
tcf(c_262974,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_262934,c_240423]) ).
tcf(c_262976,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_262934,c_239331]) ).
tcf(c_263074,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_262678,c_643]) ).
tcf(c_263087,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_262731,c_643]) ).
tcf(c_263100,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_262795,c_643]) ).
tcf(c_263113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_262836,c_643]) ).
tcf(c_263128,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c10 )
| ( multiply(sk_c6,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252732,c_645]) ).
tcf(c_263129,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c11 )
| ( multiply(sk_c6,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252732,c_644]) ).
tcf(c_263130,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_18)),multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_252732,c_252516]) ).
tcf(c_263131,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_18),multiply(X0,X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_252732,c_105]) ).
tcf(c_263132,plain,
multiply(sk_c6,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_252732,c_104]) ).
tcf(c_263133,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_18))) != inverse(X0) )
| ( multiply(sk_c6,inverse(X0)) != inverse(inverse(iPr_def_18)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252732,c_643]) ).
tcf(c_263134,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != sk_c11 )
| ( multiply(sk_c6,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252732,c_647]) ).
tcf(c_263135,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_18)) != sk_c10 )
| ( multiply(sk_c6,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252732,c_646]) ).
tcf(c_263136,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_252732,c_252516]) ).
tcf(c_263137,plain,
multiply(sk_c6,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_252732,c_253509]) ).
tcf(c_263257,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_263132]) ).
tcf(c_263259,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_263132]) ).
tcf(c_263261,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_263132]) ).
tcf(c_263263,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_658,c_263132]) ).
tcf(c_263265,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_263132]) ).
tcf(c_263266,plain,
multiply(inverse(sk_c6),identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_263132,c_252516]) ).
tcf(c_263267,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_263132,c_105]) ).
tcf(c_263268,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_263132,c_240425]) ).
tcf(c_263281,plain,
inverse(iPr_def_18) = sk_c6,
inference(demodulation,[status(thm)],[c_263137,c_253509]) ).
tcf(c_263283,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c10 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_262836,c_263281]) ).
tcf(c_263284,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c10 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_262795,c_263281]) ).
tcf(c_263285,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_262731,c_263281]) ).
tcf(c_263286,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_29 ) ),
inference(demodulation,[status(thm)],[c_262678,c_263281]) ).
tcf(c_263287,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c9 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_260973,c_263281]) ).
tcf(c_263300,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_263281,c_643]) ).
tcf(c_263301,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c6,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c6 )
| ( multiply(X0,sk_c6) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_263300,c_239329,c_263281]) ).
tcf(c_263308,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_688,c_263136]) ).
tcf(c_263310,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_678,c_263136]) ).
tcf(c_263312,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_668,c_263136]) ).
tcf(c_263314,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_658,c_263136]) ).
tcf(c_263316,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_648,c_263136]) ).
tcf(c_263317,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240091,c_263136]) ).
tcf(c_263318,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239578,c_263136]) ).
tcf(c_263319,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_263136]) ).
tcf(c_263320,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_263136]) ).
tcf(c_263321,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_263136]) ).
tcf(c_263322,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_239329,c_263136]) ).
tcf(c_263323,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240131,c_263136]) ).
tcf(c_263324,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_263136]) ).
tcf(c_263325,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_263136]) ).
tcf(c_263326,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240053,c_263136]) ).
tcf(c_263327,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240051,c_263136]) ).
tcf(c_263328,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_263136]) ).
tcf(c_263329,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_263136]) ).
tcf(c_263330,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240054,c_263136]) ).
tcf(c_263331,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240052,c_263136]) ).
tcf(c_263332,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240050,c_263136]) ).
tcf(c_263343,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_263136]) ).
tcf(c_263344,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_263136]) ).
tcf(c_263346,plain,
! [X0: $i] : multiply(inverse(sk_c6),X0) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_263136,c_252516]) ).
tcf(c_263347,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_263136,c_105]) ).
tcf(c_263458,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_252516]) ).
tcf(c_263459,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_263257,c_105]) ).
tcf(c_263460,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_243335]) ).
tcf(c_263461,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_243333]) ).
tcf(c_263462,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_243331]) ).
tcf(c_263463,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_243329]) ).
tcf(c_263464,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_243327]) ).
tcf(c_263465,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_263257,c_243392]) ).
tcf(c_263481,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263259,c_252516]) ).
tcf(c_263482,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_263259,c_105]) ).
tcf(c_263483,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263259,c_243335]) ).
tcf(c_263484,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263259,c_243333]) ).
tcf(c_263485,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263259,c_243331]) ).
tcf(c_263486,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263259,c_243329]) ).
tcf(c_263488,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_263259,c_243392]) ).
tcf(c_263521,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263261,c_252516]) ).
tcf(c_263522,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_263261,c_105]) ).
tcf(c_263523,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263261,c_243335]) ).
tcf(c_263524,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263261,c_243333]) ).
tcf(c_263525,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263261,c_243331]) ).
tcf(c_263528,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_263261,c_243392]) ).
tcf(c_263538,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263263,c_252516]) ).
tcf(c_263539,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_263263,c_105]) ).
tcf(c_263540,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263263,c_243335]) ).
tcf(c_263541,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263263,c_243333]) ).
tcf(c_263545,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_263263,c_243392]) ).
tcf(c_263555,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263265,c_252516]) ).
tcf(c_263556,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_263265,c_105]) ).
tcf(c_263557,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263265,c_243335]) ).
tcf(c_263562,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_263265,c_243392]) ).
tcf(c_263578,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_259532,c_252516]) ).
tcf(c_263579,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_259532,c_105]) ).
tcf(c_263588,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_259533,c_252516]) ).
tcf(c_263589,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_259533,c_105]) ).
tcf(c_263643,plain,
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257744,c_647]) ).
tcf(c_263644,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_257744,c_243033]) ).
tcf(c_263673,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258280,c_645]) ).
tcf(c_263674,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258280,c_644]) ).
tcf(c_263675,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258280,c_252516]) ).
tcf(c_263676,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_258280,c_105]) ).
tcf(c_263677,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258280,c_643]) ).
tcf(c_263678,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258280,c_647]) ).
tcf(c_263679,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258280,c_646]) ).
tcf(c_263680,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_258280,c_243685]) ).
tcf(c_263718,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258403,c_645]) ).
tcf(c_263719,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258403,c_644]) ).
tcf(c_263720,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258403,c_252516]) ).
tcf(c_263721,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_258403,c_105]) ).
tcf(c_263722,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258403,c_643]) ).
tcf(c_263723,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258403,c_647]) ).
tcf(c_263724,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258403,c_646]) ).
tcf(c_263725,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_258403,c_243685]) ).
tcf(c_263791,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258446,c_645]) ).
tcf(c_263792,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258446,c_644]) ).
tcf(c_263793,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258446,c_252516]) ).
tcf(c_263794,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_258446,c_105]) ).
tcf(c_263795,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258446,c_643]) ).
tcf(c_263796,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258446,c_647]) ).
tcf(c_263797,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258446,c_646]) ).
tcf(c_263798,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_258446,c_243685]) ).
tcf(c_264021,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_259534,c_252516]) ).
tcf(c_264022,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_259534,c_105]) ).
tcf(c_264037,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_260724,c_252516]) ).
tcf(c_264038,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_25,X0)) ) ),
inference(superposition,[status(thm)],[c_260724,c_105]) ).
tcf(c_264047,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_260725,c_252516]) ).
tcf(c_264048,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_260725,c_105]) ).
tcf(c_264057,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_260726,c_252516]) ).
tcf(c_264058,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_15),X0) = multiply(iPr_def_20,multiply(iPr_def_20,X0)) ) ),
inference(superposition,[status(thm)],[c_260726,c_105]) ).
tcf(c_264075,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258502,c_644]) ).
tcf(c_264076,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258502,c_252516]) ).
tcf(c_264077,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_258502,c_105]) ).
tcf(c_264078,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258502,c_643]) ).
tcf(c_264080,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258502,c_646]) ).
tcf(c_264081,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_258502,c_243685]) ).
tcf(c_264125,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258608,c_645]) ).
tcf(c_264126,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258608,c_644]) ).
tcf(c_264127,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_258608,c_252516]) ).
tcf(c_264128,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_258608,c_105]) ).
tcf(c_264129,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258608,c_643]) ).
tcf(c_264130,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != sk_c11 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258608,c_647]) ).
tcf(c_264131,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_258608,c_646]) ).
tcf(c_264132,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_258608,c_243685]) ).
tcf(c_264166,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258746,c_252516]) ).
tcf(c_264168,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258746,c_240424]) ).
tcf(c_264175,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258747,c_252516]) ).
tcf(c_264177,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258747,c_240428]) ).
tcf(c_264202,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_257205,c_252733]) ).
tcf(c_264203,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_254899,c_252733]) ).
tcf(c_264204,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_254897,c_252733]) ).
tcf(c_264205,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_254896,c_252733]) ).
tcf(c_264206,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_242632,c_252733]) ).
tcf(c_264207,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_242502,c_252733]) ).
tcf(c_264208,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_242500,c_252733]) ).
tcf(c_264209,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_242241,c_252733]) ).
tcf(c_264210,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_242174,c_252733]) ).
tcf(c_264211,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_241993,c_252733]) ).
tcf(c_264212,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_29)) != sk_c10 )
| ( multiply(sk_c1,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252733,c_645]) ).
tcf(c_264213,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_29)) != sk_c11 )
| ( multiply(sk_c1,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252733,c_644]) ).
tcf(c_264214,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_29)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_252733,c_252516]) ).
tcf(c_264215,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_29),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_252733,c_105]) ).
tcf(c_264216,plain,
multiply(sk_c1,iPr_def_29) = identity,
inference(superposition,[status(thm)],[c_252733,c_104]) ).
tcf(c_264217,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_29))) != inverse(X0) )
| ( multiply(sk_c1,inverse(X0)) != inverse(inverse(iPr_def_29)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252733,c_643]) ).
tcf(c_264218,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_29)) != sk_c11 )
| ( multiply(sk_c1,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252733,c_647]) ).
tcf(c_264219,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_29)) != sk_c10 )
| ( multiply(sk_c1,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252733,c_646]) ).
tcf(c_264220,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_29,X0)) = X0,
inference(superposition,[status(thm)],[c_252733,c_252516]) ).
tcf(c_264221,plain,
multiply(sk_c1,identity) = inverse(iPr_def_29),
inference(superposition,[status(thm)],[c_252733,c_253509]) ).
tcf(c_264248,plain,
( ~ iPr_def_13
| ( sk_c11 != iPr_def_28 )
| ( inverse(inverse(iPr_def_29)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_264213,c_640]) ).
tcf(c_264252,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_28 )
| ( inverse(inverse(iPr_def_29)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_264212,c_640]) ).
tcf(c_264270,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_257205,c_264216]) ).
tcf(c_264271,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_254899,c_264216]) ).
tcf(c_264272,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_254897,c_264216]) ).
tcf(c_264273,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_254896,c_264216]) ).
tcf(c_264274,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_242632,c_264216]) ).
tcf(c_264275,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_242502,c_264216]) ).
tcf(c_264276,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_242500,c_264216]) ).
tcf(c_264277,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_242241,c_264216]) ).
tcf(c_264278,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_242174,c_264216]) ).
tcf(c_264279,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_241993,c_264216]) ).
tcf(c_264280,plain,
multiply(inverse(sk_c1),identity) = iPr_def_29,
inference(superposition,[status(thm)],[c_264216,c_252516]) ).
tcf(c_264281,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_29,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_264216,c_105]) ).
tcf(c_264282,plain,
multiply(iPr_def_29,identity) = iPr_def_29,
inference(superposition,[status(thm)],[c_264216,c_240424]) ).
tcf(c_264402,plain,
inverse(iPr_def_29) = sk_c1,
inference(demodulation,[status(thm)],[c_264221,c_253509]) ).
tcf(c_264404,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_257205,c_264402]) ).
tcf(c_264405,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_254899,c_264402]) ).
tcf(c_264406,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_254897,c_264402]) ).
tcf(c_264407,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_254896,c_264402]) ).
tcf(c_264408,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_242632,c_264402]) ).
tcf(c_264409,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_242502,c_264402]) ).
tcf(c_264410,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_242500,c_264402]) ).
tcf(c_264411,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_242241,c_264402]) ).
tcf(c_264412,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_242174,c_264402]) ).
tcf(c_264413,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_241993,c_264402]) ).
tcf(c_264416,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_29) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_29,inverse(iPr_def_29)) != sk_c11 )
| ( multiply(inverse(iPr_def_29),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264402,c_643]) ).
tcf(c_264437,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != iPr_def_28 )
| ( sk_c11 != identity )
| ( inverse(inverse(X0)) != sk_c1 )
| ( multiply(X0,sk_c1) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_264416,c_640,c_239330,c_264402]) ).
tcf(c_264555,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_261486,c_257224]) ).
tcf(c_264561,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_254919]) ).
tcf(c_264562,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c10 != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_261486,c_241246]) ).
tcf(c_264563,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_12
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_261486,c_241138]) ).
tcf(c_264564,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_261486,c_252535]) ).
tcf(c_264565,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_242520]) ).
tcf(c_264566,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_242260]) ).
tcf(c_264568,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_242060]) ).
tcf(c_264572,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_261486,c_240410]) ).
tcf(c_264573,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_261486,c_240408]) ).
tcf(c_264574,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_261486,c_240406]) ).
tcf(c_264575,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_261486,c_240404]) ).
tcf(c_264576,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_240192]) ).
tcf(c_264577,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_240091]) ).
tcf(c_264579,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239900]) ).
tcf(c_264583,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239754]) ).
tcf(c_264584,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_239717]) ).
tcf(c_264585,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_29) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239648]) ).
tcf(c_264586,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_239578]) ).
tcf(c_264588,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239459]) ).
tcf(c_264590,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239348]) ).
tcf(c_264591,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_239302]) ).
tcf(c_264592,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239262]) ).
tcf(c_264594,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_239216]) ).
tcf(c_264595,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239155]) ).
tcf(c_264598,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_239051]) ).
tcf(c_264599,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_239050]) ).
tcf(c_264600,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_239026]) ).
tcf(c_264601,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_238997]) ).
tcf(c_264610,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_261486,c_645]) ).
tcf(c_264611,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_261486,c_644]) ).
tcf(c_264618,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_261486,c_238883]) ).
tcf(c_264621,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_261486,c_640]) ).
tcf(c_264622,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_261486,c_636]) ).
tcf(c_264623,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_261486,c_632]) ).
tcf(c_264624,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_261486,c_627]) ).
tcf(c_264920,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240091,c_263308]) ).
tcf(c_264921,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239578,c_263308]) ).
tcf(c_264922,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_263308]) ).
tcf(c_264923,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_263308]) ).
tcf(c_264924,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_263308]) ).
tcf(c_264925,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_239329,c_263308]) ).
tcf(c_264926,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240131,c_263308]) ).
tcf(c_264927,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_263308]) ).
tcf(c_264928,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_263308]) ).
tcf(c_264929,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240053,c_263308]) ).
tcf(c_264930,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240051,c_263308]) ).
tcf(c_264931,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_263308]) ).
tcf(c_264932,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_263308]) ).
tcf(c_264933,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240054,c_263308]) ).
tcf(c_264934,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240052,c_263308]) ).
tcf(c_264935,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240050,c_263308]) ).
tcf(c_264937,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243334,c_263308]) ).
tcf(c_264938,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243332,c_263308]) ).
tcf(c_264939,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243330,c_263308]) ).
tcf(c_264940,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243328,c_263308]) ).
tcf(c_264941,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243326,c_263308]) ).
tcf(c_264942,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_263308]) ).
tcf(c_264943,plain,
( ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_263308]) ).
tcf(c_264945,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_263308,c_252516]) ).
tcf(c_264946,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_263308,c_105]) ).
tcf(c_264947,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_263308,c_243392]) ).
tcf(c_265085,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239578,c_263310]) ).
tcf(c_265086,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_263310]) ).
tcf(c_265087,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_263310]) ).
tcf(c_265088,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_263310]) ).
tcf(c_265089,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_239329,c_263310]) ).
tcf(c_265091,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_263310]) ).
tcf(c_265092,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_263310]) ).
tcf(c_265093,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240053,c_263310]) ).
tcf(c_265094,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240051,c_263310]) ).
tcf(c_265095,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_263310]) ).
tcf(c_265096,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_263310]) ).
tcf(c_265097,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240054,c_263310]) ).
tcf(c_265098,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240052,c_263310]) ).
tcf(c_265101,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243334,c_263310]) ).
tcf(c_265102,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243332,c_263310]) ).
tcf(c_265103,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243330,c_263310]) ).
tcf(c_265104,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243328,c_263310]) ).
tcf(c_265106,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_263310]) ).
tcf(c_265107,plain,
( ( sk_c11 = iPr_def_29 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_263310]) ).
tcf(c_265109,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_263310,c_252516]) ).
tcf(c_265110,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_263310,c_105]) ).
tcf(c_265111,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_263310,c_243392]) ).
tcf(c_265271,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_263312]) ).
tcf(c_265272,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_263312]) ).
tcf(c_265273,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_263312]) ).
tcf(c_265274,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_239329,c_263312]) ).
tcf(c_265276,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_263312]) ).
tcf(c_265277,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_263312]) ).
tcf(c_265278,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240053,c_263312]) ).
tcf(c_265280,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_263312]) ).
tcf(c_265281,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_263312]) ).
tcf(c_265282,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240054,c_263312]) ).
tcf(c_265286,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243334,c_263312]) ).
tcf(c_265287,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243332,c_263312]) ).
tcf(c_265288,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243330,c_263312]) ).
tcf(c_265291,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_263312]) ).
tcf(c_265292,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_263312]) ).
tcf(c_265294,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_263312,c_252516]) ).
tcf(c_265295,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_263312,c_105]) ).
tcf(c_265296,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_263312,c_243392]) ).
tcf(c_265433,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_263314]) ).
tcf(c_265434,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_263314]) ).
tcf(c_265435,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_239329,c_263314]) ).
tcf(c_265437,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_263314]) ).
tcf(c_265438,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_263314]) ).
tcf(c_265441,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_263314]) ).
tcf(c_265442,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_263314]) ).
tcf(c_265447,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243334,c_263314]) ).
tcf(c_265448,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243332,c_263314]) ).
tcf(c_265452,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_263314]) ).
tcf(c_265453,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_263314]) ).
tcf(c_265455,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_263314,c_252516]) ).
tcf(c_265456,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_263314,c_105]) ).
tcf(c_265457,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_263314,c_243392]) ).
tcf(c_265503,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_263316]) ).
tcf(c_265505,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_239329,c_263316]) ).
tcf(c_265507,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_263316]) ).
tcf(c_265511,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_263316]) ).
tcf(c_265517,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_243334,c_263316]) ).
tcf(c_265522,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_263316]) ).
tcf(c_265523,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_263316]) ).
tcf(c_265525,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_263316,c_252516]) ).
tcf(c_265526,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_263316,c_105]) ).
tcf(c_265527,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_263316,c_243392]) ).
tcf(c_265546,plain,
( ~ iPr_def_13
| ( inverse(sk_c8) != sk_c11 ) ),
inference(global_subsumption_just,[status(thm)],[c_240975,c_25048]) ).
tcf(c_265562,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_692,c_265546]) ).
tcf(c_265563,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_689,c_265546]) ).
tcf(c_265564,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_682,c_265546]) ).
tcf(c_265565,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_679,c_265546]) ).
tcf(c_265566,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_672,c_265546]) ).
tcf(c_265567,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_669,c_265546]) ).
tcf(c_265568,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_662,c_265546]) ).
tcf(c_265569,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_659,c_265546]) ).
tcf(c_265570,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_21) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_652,c_265546]) ).
tcf(c_265571,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_18) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_649,c_265546]) ).
tcf(c_265572,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_265571,c_263281]) ).
tcf(c_265576,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_265570,c_258061]) ).
tcf(c_265580,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_265569,c_263281]) ).
tcf(c_265584,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_265568,c_258061]) ).
tcf(c_265588,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_265567,c_263281]) ).
tcf(c_265592,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_265566,c_258061]) ).
tcf(c_265596,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_265565,c_263281]) ).
tcf(c_265600,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_265564,c_258061]) ).
tcf(c_265604,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_265563,c_263281]) ).
tcf(c_265608,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_13
| ( sk_c11 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_265562,c_258061]) ).
tcf(c_265664,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258748,c_252516]) ).
tcf(c_265666,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_258748,c_240409]) ).
tcf(c_265667,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_258748,c_240407]) ).
tcf(c_265669,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_265667,c_249112]) ).
tcf(c_265672,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_265666,c_249871]) ).
tcf(c_265738,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258750,c_647]) ).
tcf(c_265739,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_258750,c_243033]) ).
tcf(c_265750,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259780,c_252516]) ).
tcf(c_265752,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259780,c_240424]) ).
tcf(c_265759,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259781,c_252516]) ).
tcf(c_265761,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259781,c_240428]) ).
tcf(c_265764,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_239330,c_264220]) ).
tcf(c_265765,plain,
multiply(sk_c1,sk_c10) = iPr_def_28,
inference(superposition,[status(thm)],[c_243038,c_264220]) ).
tcf(c_265768,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_257205,c_264220]) ).
tcf(c_265769,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254899,c_264220]) ).
tcf(c_265770,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254897,c_264220]) ).
tcf(c_265771,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254896,c_264220]) ).
tcf(c_265772,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242632,c_264220]) ).
tcf(c_265773,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242502,c_264220]) ).
tcf(c_265774,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242500,c_264220]) ).
tcf(c_265775,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242241,c_264220]) ).
tcf(c_265776,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242174,c_264220]) ).
tcf(c_265777,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241993,c_264220]) ).
tcf(c_265778,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_29,X0),
inference(superposition,[status(thm)],[c_264220,c_252516]) ).
tcf(c_265779,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_29,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_264220,c_105]) ).
tcf(c_265842,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_262934,c_252734]) ).
tcf(c_265843,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_262851,c_252734]) ).
tcf(c_265844,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_260038,c_252734]) ).
tcf(c_265845,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_253577,c_252734]) ).
tcf(c_265846,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_241775,c_252734]) ).
tcf(c_265847,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_241714,c_252734]) ).
tcf(c_265848,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_241643,c_252734]) ).
tcf(c_265849,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_241590,c_252734]) ).
tcf(c_265850,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_240795,c_252734]) ).
tcf(c_265851,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_27)) != sk_c10 )
| ( multiply(sk_c2,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_252734,c_645]) ).
tcf(c_265852,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_27)) != sk_c11 )
| ( multiply(sk_c2,sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252734,c_644]) ).
tcf(c_265853,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_27)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_252734,c_252516]) ).
tcf(c_265854,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_27),multiply(X0,X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_252734,c_105]) ).
tcf(c_265855,plain,
multiply(sk_c2,iPr_def_27) = identity,
inference(superposition,[status(thm)],[c_252734,c_104]) ).
tcf(c_265856,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(inverse(iPr_def_27))) != inverse(X0) )
| ( multiply(sk_c2,inverse(X0)) != inverse(inverse(iPr_def_27)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_252734,c_643]) ).
tcf(c_265857,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_27)) != sk_c11 )
| ( multiply(sk_c2,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252734,c_647]) ).
tcf(c_265858,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_27)) != sk_c10 )
| ( multiply(sk_c2,sk_c9) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_252734,c_646]) ).
tcf(c_265859,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_27,X0)) = X0,
inference(superposition,[status(thm)],[c_252734,c_252516]) ).
tcf(c_265860,plain,
multiply(sk_c2,identity) = inverse(iPr_def_27),
inference(superposition,[status(thm)],[c_252734,c_253509]) ).
tcf(c_265879,plain,
( ~ iPr_def_11
| ( sk_c10 != iPr_def_17 )
| ( inverse(inverse(iPr_def_27)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_265858,c_629]) ).
tcf(c_265954,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_262934,c_265855]) ).
tcf(c_265955,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_262851,c_265855]) ).
tcf(c_265956,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_260038,c_265855]) ).
tcf(c_265957,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_253577,c_265855]) ).
tcf(c_265958,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_241775,c_265855]) ).
tcf(c_265959,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_241714,c_265855]) ).
tcf(c_265960,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_241643,c_265855]) ).
tcf(c_265961,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_241590,c_265855]) ).
tcf(c_265962,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_240795,c_265855]) ).
tcf(c_265963,plain,
multiply(inverse(sk_c2),identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_265855,c_252516]) ).
tcf(c_265964,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_265855,c_105]) ).
tcf(c_265965,plain,
multiply(iPr_def_27,identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_265855,c_240423]) ).
tcf(c_266021,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_261486,c_241338]) ).
tcf(c_266022,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256504,c_241338]) ).
tcf(c_266023,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256203,c_241338]) ).
tcf(c_266024,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_261386,c_241338]) ).
tcf(c_266025,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255822,c_241338]) ).
tcf(c_266026,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_27) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258605,c_241338]) ).
tcf(c_266027,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(iPr_def_17) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258498,c_241338]) ).
tcf(c_266062,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c11 != sk_c4 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_266024,c_257337]) ).
tcf(c_266141,plain,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_240849,c_26323]) ).
tcf(c_266169,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_261486,c_240978]) ).
tcf(c_266170,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256504,c_240978]) ).
tcf(c_266171,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_256203,c_240978]) ).
tcf(c_266172,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_261386,c_240978]) ).
tcf(c_266173,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255822,c_240978]) ).
tcf(c_266174,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258605,c_240978]) ).
tcf(c_266175,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258498,c_240978]) ).
tcf(c_266176,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258496,c_240978]) ).
tcf(c_266177,plain,
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257224,c_240978]) ).
tcf(c_266178,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255246,c_240978]) ).
tcf(c_266179,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255245,c_240978]) ).
tcf(c_266180,plain,
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_255244,c_240978]) ).
tcf(c_266185,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239969,c_240978]) ).
tcf(c_266186,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239817,c_240978]) ).
tcf(c_266187,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239154,c_240978]) ).
tcf(c_266188,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239153,c_240978]) ).
tcf(c_266189,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239024,c_240978]) ).
tcf(c_266190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_239013,c_240978]) ).
tcf(c_266191,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238983,c_240978]) ).
tcf(c_266192,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238951,c_240978]) ).
tcf(c_266193,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238938,c_240978]) ).
tcf(c_266194,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238937,c_240978]) ).
tcf(c_266195,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238903,c_240978]) ).
tcf(c_266196,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238895,c_240978]) ).
tcf(c_266197,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_17)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_238883,c_240978]) ).
tcf(c_266200,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_26)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_657,c_240978]) ).
tcf(c_266201,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_240978]) ).
tcf(c_266202,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_266201,c_635,c_257337]) ).
tcf(c_266255,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_266186,c_635,c_257337]) ).
tcf(c_266292,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(light_normalisation,[status(thm)],[c_266172,c_635,c_257337]) ).
tcf(c_266389,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_26)) != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_256504,c_241114]) ).
tcf(c_266390,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_26)) != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_256203,c_241114]) ).
tcf(c_266391,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261386,c_241114]) ).
tcf(c_266392,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_26)) != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_255822,c_241114]) ).
tcf(c_266393,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_258605,c_241114]) ).
tcf(c_266394,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258498,c_241114]) ).
tcf(c_266395,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258496,c_241114]) ).
tcf(c_266396,plain,
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257224,c_241114]) ).
tcf(c_266397,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255246,c_241114]) ).
tcf(c_266398,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255245,c_241114]) ).
tcf(c_266399,plain,
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255244,c_241114]) ).
tcf(c_266405,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239817,c_241114]) ).
tcf(c_266406,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239154,c_241114]) ).
tcf(c_266407,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239153,c_241114]) ).
tcf(c_266408,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239024,c_241114]) ).
tcf(c_266409,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239013,c_241114]) ).
tcf(c_266410,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_238983,c_241114]) ).
tcf(c_266411,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238951,c_241114]) ).
tcf(c_266412,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238938,c_241114]) ).
tcf(c_266413,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238937,c_241114]) ).
tcf(c_266414,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238903,c_241114]) ).
tcf(c_266415,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238895,c_241114]) ).
tcf(c_266416,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_238883,c_241114]) ).
tcf(c_266417,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_667,c_241114]) ).
tcf(c_266418,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_27)) != iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_664,c_241114]) ).
tcf(c_266473,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_12
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_266405,c_635,c_257337]) ).
tcf(c_266505,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_266391,c_635,c_257337]) ).
tcf(c_266566,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259782,c_252516]) ).
tcf(c_266568,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_259782,c_240409]) ).
tcf(c_266569,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_259782,c_240407]) ).
tcf(c_266571,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_266569,c_249112]) ).
tcf(c_266574,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_17) ) ),
inference(light_normalisation,[status(thm)],[c_266568,c_249871]) ).
tcf(c_266625,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c9,sk_c11) = multiply(iPr_def_27,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_259784,c_243033]) ).
tcf(c_266641,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260099,c_252516]) ).
tcf(c_266643,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260099,c_240424]) ).
tcf(c_266659,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260100,c_252516]) ).
tcf(c_266661,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260100,c_240428]) ).
tcf(c_266664,plain,
inverse(iPr_def_27) = sk_c2,
inference(demodulation,[status(thm)],[c_265860,c_253509]) ).
tcf(c_266666,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_262934,c_266664]) ).
tcf(c_266667,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_262851,c_266664]) ).
tcf(c_266668,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_260038,c_266664]) ).
tcf(c_266669,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_253577,c_266664]) ).
tcf(c_266670,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_241775,c_266664]) ).
tcf(c_266671,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_241714,c_266664]) ).
tcf(c_266672,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_241643,c_266664]) ).
tcf(c_266673,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_241590,c_266664]) ).
tcf(c_266674,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_240795,c_266664]) ).
tcf(c_266677,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266664,c_643]) ).
tcf(c_266696,plain,
! [X0: $i] :
( ~ iPr_def_14
| ( sk_c11 != identity )
| ( multiply(sk_c2,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c2 )
| ( multiply(X0,sk_c2) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_266677,c_239331,c_266664]) ).
tcf(c_266721,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_239331,c_265859]) ).
tcf(c_266722,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241784,c_265859]) ).
tcf(c_266723,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241722,c_265859]) ).
tcf(c_266724,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241650,c_265859]) ).
tcf(c_266725,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241596,c_265859]) ).
tcf(c_266726,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240800,c_265859]) ).
tcf(c_266727,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_239176,c_265859]) ).
tcf(c_266728,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_239121,c_265859]) ).
tcf(c_266729,plain,
multiply(sk_c2,sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_243031,c_265859]) ).
tcf(c_266731,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_245336,c_265859]) ).
tcf(c_266732,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_245080,c_265859]) ).
tcf(c_266733,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_245341,c_265859]) ).
tcf(c_266734,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33896,c_265859]) ).
tcf(c_266735,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_241695,c_265859]) ).
tcf(c_266737,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_262934,c_265859]) ).
tcf(c_266738,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_262851,c_265859]) ).
tcf(c_266739,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_260038,c_265859]) ).
tcf(c_266740,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_253577,c_265859]) ).
tcf(c_266741,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241775,c_265859]) ).
tcf(c_266742,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241714,c_265859]) ).
tcf(c_266743,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241643,c_265859]) ).
tcf(c_266744,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241590,c_265859]) ).
tcf(c_266745,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_240795,c_265859]) ).
tcf(c_266746,plain,
! [X0: $i] : multiply(inverse(sk_c2),X0) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_265859,c_252516]) ).
tcf(c_266747,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_27,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_265859,c_105]) ).
tcf(c_266913,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_240188,c_241230]) ).
tcf(c_266914,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_240132,c_241230]) ).
tcf(c_266915,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_697,c_241230]) ).
tcf(c_266916,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_696,c_241230]) ).
tcf(c_266917,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_24)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_695,c_241230]) ).
tcf(c_266918,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_694,c_241230]) ).
tcf(c_266919,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_693,c_241230]) ).
tcf(c_266920,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_691,c_241230]) ).
tcf(c_266921,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_24)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_685,c_241230]) ).
tcf(c_266922,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_24)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_675,c_241230]) ).
tcf(c_266923,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_24)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_665,c_241230]) ).
tcf(c_266924,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != identity )
| ( inverse(inverse(iPr_def_24)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_655,c_241230]) ).
tcf(c_267021,plain,
( ~ iPr_def_10
| ( sk_c10 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_241341,c_133730]) ).
tcf(c_267027,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_261497,c_267021]) ).
tcf(c_267028,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258045,c_267021]) ).
tcf(c_267030,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258043,c_267021]) ).
tcf(c_267031,plain,
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258042,c_267021]) ).
tcf(c_267032,plain,
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_258041,c_267021]) ).
tcf(c_267034,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_257093,c_267021]) ).
tcf(c_267036,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254483,c_267021]) ).
tcf(c_267037,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_254482,c_267021]) ).
tcf(c_267119,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_23,sk_c11) ) ),
inference(superposition,[status(thm)],[c_253509,c_242949]) ).
tcf(c_267120,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_255242,c_242949]) ).
tcf(c_267161,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_242949,c_252516]) ).
tcf(c_267162,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_242949,c_105]) ).
tcf(c_267163,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_242949,c_257072]) ).
tcf(c_267166,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(sk_c11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_267163,c_248653]) ).
tcf(c_267226,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260101,c_252516]) ).
tcf(c_267228,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_260101,c_240409]) ).
tcf(c_267229,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_260101,c_240407]) ).
tcf(c_267231,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_267229,c_249112]) ).
tcf(c_267234,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_267228,c_249871]) ).
tcf(c_267294,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_260103,c_265859]) ).
tcf(c_267301,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261488,c_252516]) ).
tcf(c_267303,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_29,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261488,c_240424]) ).
tcf(c_267330,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261490,c_252516]) ).
tcf(c_267332,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_261490,c_240409]) ).
tcf(c_267333,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_261490,c_240407]) ).
tcf(c_267335,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_267333,c_249112]) ).
tcf(c_267338,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_267332,c_249871]) ).
tcf(c_267345,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254567,c_252516]) ).
tcf(c_267346,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_254567,c_104]) ).
tcf(c_267347,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254567,c_643]) ).
tcf(c_267374,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254580,c_252516]) ).
tcf(c_267375,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_254580,c_104]) ).
tcf(c_267376,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254580,c_643]) ).
tcf(c_267405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_254595,c_252516]) ).
tcf(c_267406,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_254595,c_104]) ).
tcf(c_267407,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_254595,c_643]) ).
tcf(c_267466,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_257208,c_252516]) ).
tcf(c_267467,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_257208,c_104]) ).
tcf(c_267468,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257208,c_643]) ).
tcf(c_267543,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_261492,c_257072]) ).
tcf(c_267544,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_24,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_267543,c_248636]) ).
tcf(c_267554,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_267346,c_252516]) ).
tcf(c_267555,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267346,c_105]) ).
tcf(c_267559,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_267346,c_243693]) ).
tcf(c_267572,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_267375,c_252516]) ).
tcf(c_267573,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267375,c_105]) ).
tcf(c_267577,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_267375,c_243693]) ).
tcf(c_267590,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_267406,c_252516]) ).
tcf(c_267591,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267406,c_105]) ).
tcf(c_267595,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_267406,c_243693]) ).
tcf(c_267606,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_257229,c_252516]) ).
tcf(c_267607,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_257229,c_104]) ).
tcf(c_267608,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_257229,c_643]) ).
tcf(c_267632,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_258281,c_252516]) ).
tcf(c_267633,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_258281,c_104]) ).
tcf(c_267634,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258281,c_643]) ).
tcf(c_267653,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_258404,c_252516]) ).
tcf(c_267654,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_258404,c_104]) ).
tcf(c_267655,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258404,c_643]) ).
tcf(c_267679,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_258447,c_252516]) ).
tcf(c_267680,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_258447,c_104]) ).
tcf(c_267681,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258447,c_643]) ).
tcf(c_267735,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_267467,c_252516]) ).
tcf(c_267736,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267467,c_105]) ).
tcf(c_267739,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_267467,c_243688]) ).
tcf(c_267751,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_267607,c_252516]) ).
tcf(c_267752,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267607,c_105]) ).
tcf(c_267755,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_267607,c_243688]) ).
tcf(c_267770,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267633,c_252516]) ).
tcf(c_267771,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267633,c_105]) ).
tcf(c_267777,plain,
( ( sk_c9 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_267633,c_243685]) ).
tcf(c_267792,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267654,c_252516]) ).
tcf(c_267793,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267654,c_105]) ).
tcf(c_267799,plain,
( ( sk_c11 = iPr_def_29 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_267654,c_243685]) ).
tcf(c_267809,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_258503,c_252516]) ).
tcf(c_267810,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_258503,c_104]) ).
tcf(c_267811,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258503,c_643]) ).
tcf(c_267830,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_258609,c_252516]) ).
tcf(c_267831,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_258609,c_104]) ).
tcf(c_267832,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_258609,c_643]) ).
tcf(c_267849,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_262556,c_252516]) ).
tcf(c_267850,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_262556,c_104]) ).
tcf(c_267851,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_262556,c_643]) ).
tcf(c_267869,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264404,c_643]) ).
tcf(c_267910,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267680,c_252516]) ).
tcf(c_267911,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267680,c_105]) ).
tcf(c_267917,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_267680,c_243685]) ).
tcf(c_267932,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267810,c_252516]) ).
tcf(c_267933,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267810,c_105]) ).
tcf(c_267939,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_267810,c_243685]) ).
tcf(c_267954,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267831,c_252516]) ).
tcf(c_267955,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267831,c_105]) ).
tcf(c_267961,plain,
( ( sk_c10 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_267831,c_243685]) ).
tcf(c_267973,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_267850,c_252516]) ).
tcf(c_267974,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_267850,c_105]) ).
tcf(c_267977,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_267850,c_243688]) ).
tcf(c_267989,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264405,c_643]) ).
tcf(c_268002,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264406,c_643]) ).
tcf(c_268022,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264407,c_643]) ).
tcf(c_268035,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264408,c_643]) ).
tcf(c_268064,plain,
( ( iPr_def_23 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_261486,c_241363]) ).
tcf(c_268065,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_256504,c_241363]) ).
tcf(c_268066,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_256203,c_241363]) ).
tcf(c_268067,plain,
( ( iPr_def_17 = iPr_def_27 )
| ~ iPr_def_10
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_261386,c_241363]) ).
tcf(c_268068,plain,
( ( iPr_def_17 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_255822,c_241363]) ).
tcf(c_268069,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_258605,c_241363]) ).
tcf(c_268070,plain,
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_258498,c_241363]) ).
tcf(c_268071,plain,
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_258496,c_241363]) ).
tcf(c_268072,plain,
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_257224,c_241363]) ).
tcf(c_268073,plain,
( ( iPr_def_15 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_255246,c_241363]) ).
tcf(c_268074,plain,
( ( iPr_def_15 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_255245,c_241363]) ).
tcf(c_268075,plain,
( ( iPr_def_15 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_255244,c_241363]) ).
tcf(c_268080,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239969,c_241363]) ).
tcf(c_268081,plain,
( ( iPr_def_28 = iPr_def_29 )
| ~ iPr_def_10
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239817,c_241363]) ).
tcf(c_268082,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239154,c_241363]) ).
tcf(c_268083,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239153,c_241363]) ).
tcf(c_268084,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239024,c_241363]) ).
tcf(c_268085,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239013,c_241363]) ).
tcf(c_268086,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238983,c_241363]) ).
tcf(c_268087,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238951,c_241363]) ).
tcf(c_268088,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238938,c_241363]) ).
tcf(c_268089,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238937,c_241363]) ).
tcf(c_268090,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238903,c_241363]) ).
tcf(c_268091,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238895,c_241363]) ).
tcf(c_268092,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238883,c_241363]) ).
tcf(c_268093,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_667,c_241363]) ).
tcf(c_268094,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_27 )
| ( sk_c11 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_664,c_241363]) ).
tcf(c_268303,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264409,c_643]) ).
tcf(c_268316,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264410,c_643]) ).
tcf(c_268329,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264411,c_643]) ).
tcf(c_268342,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264412,c_643]) ).
tcf(c_268403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_258502,c_243674]) ).
tcf(c_268407,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_253509,c_243674]) ).
tcf(c_268409,plain,
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_267810,c_243674]) ).
tcf(c_268413,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_243674,c_252516]) ).
tcf(c_268414,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_243674,c_105]) ).
tcf(c_268415,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_28,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_243674,c_240410]) ).
tcf(c_268416,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_243674,c_240408]) ).
tcf(c_268417,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_243674,c_240406]) ).
tcf(c_268424,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_268413,c_252719]) ).
tcf(c_268427,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_24,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_268417,c_248653]) ).
tcf(c_268430,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_20,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_268416,c_249399]) ).
tcf(c_268433,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c11,X0)) = multiply(iPr_def_28,multiply(iPr_def_22,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_268415,c_249930]) ).
tcf(c_268438,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c10),X0) = multiply(iPr_def_22,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_249362,c_249422]) ).
tcf(c_268445,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_264413,c_643]) ).
tcf(c_268458,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266666,c_643]) ).
tcf(c_268471,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266667,c_643]) ).
tcf(c_268484,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266668,c_643]) ).
tcf(c_268499,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( sk_c11 != iPr_def_29 ) ),
inference(global_subsumption_just,[status(thm)],[c_253772,c_2841,c_21441,c_88910,c_191984]) ).
tcf(c_268507,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_15 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_255242,c_268499]) ).
tcf(c_268508,plain,
( ( iPr_def_28 = iPr_def_29 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_15 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_254621,c_268499]) ).
tcf(c_268542,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_666,c_268499]) ).
tcf(c_268543,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_663,c_268499]) ).
tcf(c_268544,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_661,c_268499]) ).
tcf(c_268545,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_656,c_268499]) ).
tcf(c_268546,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_653,c_268499]) ).
tcf(c_268547,plain,
( ( sk_c10 = iPr_def_27 )
| ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_651,c_268499]) ).
tcf(c_268622,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_257205,c_268542]) ).
tcf(c_268623,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254899,c_268542]) ).
tcf(c_268624,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254897,c_268542]) ).
tcf(c_268625,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254896,c_268542]) ).
tcf(c_268626,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_25 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_242632,c_268542]) ).
tcf(c_268680,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_257205,c_268543]) ).
tcf(c_268681,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254899,c_268543]) ).
tcf(c_268682,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254897,c_268543]) ).
tcf(c_268683,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254896,c_268543]) ).
tcf(c_268684,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_22 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_242632,c_268543]) ).
tcf(c_268742,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_257205,c_268544]) ).
tcf(c_268743,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254899,c_268544]) ).
tcf(c_268744,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254897,c_268544]) ).
tcf(c_268745,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_254896,c_268544]) ).
tcf(c_268746,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_242632,c_268544]) ).
tcf(c_268776,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_243699,c_252516]) ).
tcf(c_268778,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_17) = multiply(iPr_def_27,sk_c9) ) ),
inference(superposition,[status(thm)],[c_243699,c_243033]) ).
tcf(c_268789,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266669,c_643]) ).
tcf(c_268802,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266670,c_643]) ).
tcf(c_268815,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266671,c_643]) ).
tcf(c_268828,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_14
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_266672,c_643]) ).
tcf(c_268835,plain,
( ~ iPr_def_13
| ( sk_c10 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_268545,c_193219,c_258498]) ).
tcf(c_268836,plain,
( ( sk_c10 = iPr_def_17 )
| ~ iPr_def_13 ),
inference(renaming,[status(thm)],[c_268835]) ).
tcf(c_268847,plain,
( ( sk_c10 = iPr_def_27 )
| ~ iPr_def_13
| ( iPr_def_20 != iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_253774,c_16341,c_21441,c_60845,c_60853,c_88880,c_88898,c_89187,c_89200,c_185373,c_191984]) ).
tcf(c_268873,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242775,c_243700]) ).
tcf(c_268874,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240370,c_243700]) ).
tcf(c_268875,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240328,c_243700]) ).
tcf(c_268876,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240257,c_243700]) ).
tcf(c_268877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240215,c_243700]) ).
tcf(c_268878,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240155,c_243700]) ).
tcf(c_268880,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_265855,c_243700]) ).
tcf(c_268882,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_265859,c_243700]) ).
tcf(c_268884,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_243700,c_105]) ).
tcf(c_268885,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(sk_c2,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_243700,c_243033]) ).
tcf(c_268944,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_627,c_252545]) ).
tcf(c_268945,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_254766,c_252545]) ).
tcf(c_268947,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_257354,c_252545]) ).
tcf(c_268949,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_258524,c_252545]) ).
tcf(c_268951,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_632,c_252545]) ).
tcf(c_268952,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_260887,c_252545]) ).
tcf(c_268954,plain,
! [X0: $i] : multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_265765,c_252545]) ).
tcf(c_268956,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_266729,c_252545]) ).
tcf(c_268958,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(identity,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_103,c_252545]) ).
tcf(c_268959,plain,
! [X0: $i,X1: $i] : multiply(inverse(identity),multiply(inverse(X0),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_104,c_252545]) ).
tcf(c_268960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),multiply(X2,X3))) = X3,
inference(superposition,[status(thm)],[c_105,c_252545]) ).
tcf(c_268961,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_261492,c_252545]) ).
tcf(c_268962,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242395,c_252545]) ).
tcf(c_268963,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_238915,c_252545]) ).
tcf(c_268964,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242260,c_252545]) ).
tcf(c_268965,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239026,c_252545]) ).
tcf(c_268966,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_238916,c_252545]) ).
tcf(c_268967,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242060,c_252545]) ).
tcf(c_268968,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_238997,c_252545]) ).
tcf(c_268969,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_238917,c_252545]) ).
tcf(c_268970,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242520,c_252545]) ).
tcf(c_268971,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239155,c_252545]) ).
tcf(c_268972,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_238936,c_252545]) ).
tcf(c_268973,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242651,c_252545]) ).
tcf(c_268974,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_238950,c_252545]) ).
tcf(c_268975,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240193,c_252545]) ).
tcf(c_268976,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239718,c_252545]) ).
tcf(c_268977,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239303,c_252545]) ).
tcf(c_268978,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239037,c_252545]) ).
tcf(c_268979,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239035,c_252545]) ).
tcf(c_268980,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240092,c_252545]) ).
tcf(c_268981,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239579,c_252545]) ).
tcf(c_268982,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239217,c_252545]) ).
tcf(c_268983,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239038,c_252545]) ).
tcf(c_268984,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239036,c_252545]) ).
tcf(c_268985,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240293,c_252545]) ).
tcf(c_268986,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239872,c_252545]) ).
tcf(c_268987,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239437,c_252545]) ).
tcf(c_268988,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239141,c_252545]) ).
tcf(c_268989,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239047,c_252545]) ).
tcf(c_268990,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240192,c_252545]) ).
tcf(c_268991,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239717,c_252545]) ).
tcf(c_268992,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239302,c_252545]) ).
tcf(c_268993,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239052,c_252545]) ).
tcf(c_268994,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239050,c_252545]) ).
tcf(c_268995,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240091,c_252545]) ).
tcf(c_268996,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239578,c_252545]) ).
tcf(c_268997,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239216,c_252545]) ).
tcf(c_268998,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239053,c_252545]) ).
tcf(c_268999,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239051,c_252545]) ).
tcf(c_269000,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242650,c_252545]) ).
tcf(c_269001,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239054,c_252545]) ).
tcf(c_269002,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_261490,c_252545]) ).
tcf(c_269003,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242393,c_252545]) ).
tcf(c_269004,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239055,c_252545]) ).
tcf(c_269005,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c5,multiply(iPr_def_21,X0))) = X0,
inference(superposition,[status(thm)],[c_258018,c_252545]) ).
tcf(c_269006,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240090,c_252545]) ).
tcf(c_269007,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239577,c_252545]) ).
tcf(c_269008,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239215,c_252545]) ).
tcf(c_269009,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239071,c_252545]) ).
tcf(c_269010,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239069,c_252545]) ).
tcf(c_269011,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242649,c_252545]) ).
tcf(c_269012,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239080,c_252545]) ).
tcf(c_269013,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c4,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_257068,c_252545]) ).
tcf(c_269014,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242257,c_252545]) ).
tcf(c_269015,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239089,c_252545]) ).
tcf(c_269016,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239086,c_252545]) ).
tcf(c_269017,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242057,c_252545]) ).
tcf(c_269018,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239090,c_252545]) ).
tcf(c_269019,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239087,c_252545]) ).
tcf(c_269020,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c3,multiply(iPr_def_25,X0))) = X0,
inference(superposition,[status(thm)],[c_254458,c_252545]) ).
tcf(c_269021,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242648,c_252545]) ).
tcf(c_269022,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239101,c_252545]) ).
tcf(c_269023,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_261488,c_252545]) ).
tcf(c_269024,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242391,c_252545]) ).
tcf(c_269025,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239102,c_252545]) ).
tcf(c_269026,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0,
inference(superposition,[status(thm)],[c_239325,c_252545]) ).
tcf(c_269027,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_23,multiply(sk_c4,X0))) = X0,
inference(superposition,[status(thm)],[c_239326,c_252545]) ).
tcf(c_269028,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_21,multiply(sk_c5,X0))) = X0,
inference(superposition,[status(thm)],[c_239327,c_252545]) ).
tcf(c_269029,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_19,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_239328,c_252545]) ).
tcf(c_269030,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_18,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_239329,c_252545]) ).
tcf(c_269031,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_29,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_239330,c_252545]) ).
tcf(c_269032,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_27,multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_239331,c_252545]) ).
tcf(c_269033,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260099,c_252545]) ).
tcf(c_269034,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241780,c_252545]) ).
tcf(c_269035,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241718,c_252545]) ).
tcf(c_269036,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241646,c_252545]) ).
tcf(c_269037,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241592,c_252545]) ).
tcf(c_269038,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240796,c_252545]) ).
tcf(c_269039,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239172,c_252545]) ).
tcf(c_269040,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239117,c_252545]) ).
tcf(c_269041,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260100,c_252545]) ).
tcf(c_269042,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241781,c_252545]) ).
tcf(c_269043,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241719,c_252545]) ).
tcf(c_269044,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241647,c_252545]) ).
tcf(c_269045,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241593,c_252545]) ).
tcf(c_269046,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240797,c_252545]) ).
tcf(c_269047,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239173,c_252545]) ).
tcf(c_269048,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239118,c_252545]) ).
tcf(c_269049,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260101,c_252545]) ).
tcf(c_269050,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241782,c_252545]) ).
tcf(c_269051,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241720,c_252545]) ).
tcf(c_269052,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241648,c_252545]) ).
tcf(c_269053,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241594,c_252545]) ).
tcf(c_269054,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240798,c_252545]) ).
tcf(c_269055,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239174,c_252545]) ).
tcf(c_269056,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239119,c_252545]) ).
tcf(c_269057,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260103,c_252545]) ).
tcf(c_269058,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241784,c_252545]) ).
tcf(c_269059,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241722,c_252545]) ).
tcf(c_269060,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241650,c_252545]) ).
tcf(c_269061,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241596,c_252545]) ).
tcf(c_269062,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240800,c_252545]) ).
tcf(c_269063,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239176,c_252545]) ).
tcf(c_269064,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239121,c_252545]) ).
tcf(c_269065,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241900,c_252545]) ).
tcf(c_269066,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241842,c_252545]) ).
tcf(c_269067,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239500,c_252545]) ).
tcf(c_269068,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239455,c_252545]) ).
tcf(c_269069,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239391,c_252545]) ).
tcf(c_269070,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239344,c_252545]) ).
tcf(c_269071,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239258,c_252545]) ).
tcf(c_269072,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241904,c_252545]) ).
tcf(c_269073,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_241846,c_252545]) ).
tcf(c_269074,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239504,c_252545]) ).
tcf(c_269075,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239459,c_252545]) ).
tcf(c_269076,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239395,c_252545]) ).
tcf(c_269077,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239348,c_252545]) ).
tcf(c_269078,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239262,c_252545]) ).
tcf(c_269079,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240131,c_252545]) ).
tcf(c_269080,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240057,c_252545]) ).
tcf(c_269081,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240055,c_252545]) ).
tcf(c_269082,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240053,c_252545]) ).
tcf(c_269083,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240051,c_252545]) ).
tcf(c_269084,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240058,c_252545]) ).
tcf(c_269085,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240056,c_252545]) ).
tcf(c_269086,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240054,c_252545]) ).
tcf(c_269087,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240052,c_252545]) ).
tcf(c_269088,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240050,c_252545]) ).
tcf(c_269089,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242183,c_252545]) ).
tcf(c_269090,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242001,c_252545]) ).
tcf(c_269091,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239975,c_252545]) ).
tcf(c_269092,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239896,c_252545]) ).
tcf(c_269093,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239821,c_252545]) ).
tcf(c_269094,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239750,c_252545]) ).
tcf(c_269095,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239644,c_252545]) ).
tcf(c_269096,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242187,c_252545]) ).
tcf(c_269097,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242005,c_252545]) ).
tcf(c_269098,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239979,c_252545]) ).
tcf(c_269099,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239900,c_252545]) ).
tcf(c_269100,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239825,c_252545]) ).
tcf(c_269101,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239754,c_252545]) ).
tcf(c_269102,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_239648,c_252545]) ).
tcf(c_269103,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_255607,c_252545]) ).
tcf(c_269104,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c10,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_254919,c_252545]) ).
tcf(c_269105,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242829,c_252545]) ).
tcf(c_269106,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242775,c_252545]) ).
tcf(c_269107,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240370,c_252545]) ).
tcf(c_269108,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240328,c_252545]) ).
tcf(c_269109,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240257,c_252545]) ).
tcf(c_269110,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240215,c_252545]) ).
tcf(c_269111,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240155,c_252545]) ).
tcf(c_269112,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259780,c_252545]) ).
tcf(c_269113,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_258746,c_252545]) ).
tcf(c_269114,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_257740,c_252545]) ).
tcf(c_269115,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256506,c_252545]) ).
tcf(c_269116,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256205,c_252545]) ).
tcf(c_269117,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_255824,c_252545]) ).
tcf(c_269118,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240741,c_252545]) ).
tcf(c_269119,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240681,c_252545]) ).
tcf(c_269120,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240631,c_252545]) ).
tcf(c_269121,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240579,c_252545]) ).
tcf(c_269122,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240510,c_252545]) ).
tcf(c_269123,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240452,c_252545]) ).
tcf(c_269124,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259781,c_252545]) ).
tcf(c_269125,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_258747,c_252545]) ).
tcf(c_269126,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_257741,c_252545]) ).
tcf(c_269127,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256507,c_252545]) ).
tcf(c_269128,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256206,c_252545]) ).
tcf(c_269129,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_255825,c_252545]) ).
tcf(c_269130,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240742,c_252545]) ).
tcf(c_269131,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240682,c_252545]) ).
tcf(c_269132,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240632,c_252545]) ).
tcf(c_269133,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240580,c_252545]) ).
tcf(c_269134,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240511,c_252545]) ).
tcf(c_269135,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240453,c_252545]) ).
tcf(c_269136,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259782,c_252545]) ).
tcf(c_269137,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_258748,c_252545]) ).
tcf(c_269138,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_257742,c_252545]) ).
tcf(c_269139,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256508,c_252545]) ).
tcf(c_269140,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256207,c_252545]) ).
tcf(c_269141,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_255826,c_252545]) ).
tcf(c_269142,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240743,c_252545]) ).
tcf(c_269143,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240683,c_252545]) ).
tcf(c_269144,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240633,c_252545]) ).
tcf(c_269145,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240581,c_252545]) ).
tcf(c_269146,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240512,c_252545]) ).
tcf(c_269147,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240454,c_252545]) ).
tcf(c_269148,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259784,c_252545]) ).
tcf(c_269149,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_258750,c_252545]) ).
tcf(c_269150,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_257744,c_252545]) ).
tcf(c_269151,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256510,c_252545]) ).
tcf(c_269152,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_256209,c_252545]) ).
tcf(c_269153,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_255828,c_252545]) ).
tcf(c_269154,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240745,c_252545]) ).
tcf(c_269155,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240685,c_252545]) ).
tcf(c_269156,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240635,c_252545]) ).
tcf(c_269157,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240583,c_252545]) ).
tcf(c_269158,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240514,c_252545]) ).
tcf(c_269159,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_240456,c_252545]) ).
tcf(c_269160,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(sk_c10,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240404,c_252545]) ).
tcf(c_269161,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_254594,c_252545]) ).
tcf(c_269162,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_254579,c_252545]) ).
tcf(c_269163,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_254566,c_252545]) ).
tcf(c_269164,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_26,X0)),multiply(sk_c3,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240405,c_252545]) ).
tcf(c_269165,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_257228,c_252545]) ).
tcf(c_269166,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_257207,c_252545]) ).
tcf(c_269167,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(sk_c4,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240406,c_252545]) ).
tcf(c_269168,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_258608,c_252545]) ).
tcf(c_269169,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_258502,c_252545]) ).
tcf(c_269170,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_258446,c_252545]) ).
tcf(c_269171,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_258403,c_252545]) ).
tcf(c_269172,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_258280,c_252545]) ).
tcf(c_269173,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_22,X0)),multiply(sk_c5,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240407,c_252545]) ).
tcf(c_269174,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c8,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240408,c_252545]) ).
tcf(c_269175,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240409,c_252545]) ).
tcf(c_269176,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_28,X0)),multiply(sk_c1,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240410,c_252545]) ).
tcf(c_269177,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_17,X0)),multiply(sk_c2,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240411,c_252545]) ).
tcf(c_269178,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[status(thm)],[c_252516,c_252545]) ).
tcf(c_269179,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240429,c_252545]) ).
tcf(c_269180,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240428,c_252545]) ).
tcf(c_269181,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240427,c_252545]) ).
tcf(c_269182,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(multiply(sk_c7,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240426,c_252545]) ).
tcf(c_269183,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240425,c_252545]) ).
tcf(c_269184,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_29,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240424,c_252545]) ).
tcf(c_269185,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_27,multiply(multiply(sk_c2,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_240423,c_252545]) ).
tcf(c_269186,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c2,multiply(iPr_def_27,X0))) = X0,
inference(superposition,[status(thm)],[c_265855,c_252545]) ).
tcf(c_269187,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c1,multiply(iPr_def_29,X0))) = X0,
inference(superposition,[status(thm)],[c_264216,c_252545]) ).
tcf(c_269188,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c6,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_263132,c_252545]) ).
tcf(c_269189,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_260560,c_252545]) ).
tcf(c_269190,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242946,c_252545]) ).
tcf(c_269191,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242947,c_252545]) ).
tcf(c_269192,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_23,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_242948,c_252545]) ).
tcf(c_269193,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(iPr_def_23,multiply(multiply(sk_c11,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_242949,c_252545]) ).
tcf(c_269194,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_26,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_243672,c_252545]) ).
tcf(c_269195,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(sk_c10,multiply(multiply(iPr_def_22,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243674,c_252545]) ).
tcf(c_269196,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(iPr_def_27,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_243031,c_252545]) ).
tcf(c_269197,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(iPr_def_27,multiply(multiply(iPr_def_17,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_243033,c_252545]) ).
tcf(c_269198,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_29,multiply(iPr_def_28,X0))) = X0,
inference(superposition,[status(thm)],[c_243038,c_252545]) ).
tcf(c_269199,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(iPr_def_29,multiply(multiply(iPr_def_28,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_243048,c_252545]) ).
tcf(c_269200,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243334,c_252545]) ).
tcf(c_269201,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243332,c_252545]) ).
tcf(c_269202,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243330,c_252545]) ).
tcf(c_269203,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243328,c_252545]) ).
tcf(c_269204,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243326,c_252545]) ).
tcf(c_269205,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243335,c_252545]) ).
tcf(c_269206,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243333,c_252545]) ).
tcf(c_269207,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243331,c_252545]) ).
tcf(c_269208,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243329,c_252545]) ).
tcf(c_269209,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243327,c_252545]) ).
tcf(c_269210,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_19,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_243371,c_252545]) ).
tcf(c_269211,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_19,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_243392,c_252545]) ).
tcf(c_269212,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_21,multiply(iPr_def_22,X0))) = X0,
inference(superposition,[status(thm)],[c_243395,c_252545]) ).
tcf(c_269213,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_26,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_243860,c_252545]) ).
tcf(c_269214,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_243685,c_252545]) ).
tcf(c_269215,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_23,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_243686,c_252545]) ).
tcf(c_269216,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_243688,c_252545]) ).
tcf(c_269217,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_25,multiply(iPr_def_26,X0))) = X0,
inference(superposition,[status(thm)],[c_243689,c_252545]) ).
tcf(c_269218,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(iPr_def_25,multiply(multiply(iPr_def_26,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_243693,c_252545]) ).
tcf(c_269219,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c9),multiply(iPr_def_17,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_243699,c_252545]) ).
tcf(c_269220,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(sk_c2,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_243700,c_252545]) ).
tcf(c_269221,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_26,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_243898,c_252545]) ).
tcf(c_269222,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_244486,c_252545]) ).
tcf(c_269223,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_244487,c_252545]) ).
tcf(c_269224,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_244526,c_252545]) ).
tcf(c_269225,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_244527,c_252545]) ).
tcf(c_269226,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_258022,c_252545]) ).
tcf(c_269227,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_257072,c_252545]) ).
tcf(c_269228,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_254462,c_252545]) ).
tcf(c_269229,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_245336,c_252545]) ).
tcf(c_269230,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(iPr_def_29,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_245080,c_252545]) ).
tcf(c_269231,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_245341,c_252545]) ).
tcf(c_269232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_27,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_33896,c_252545]) ).
tcf(c_269233,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(iPr_def_27,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_241695,c_252545]) ).
tcf(c_269234,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,sk_c11)),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_248636,c_252545]) ).
tcf(c_269235,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c10)),multiply(sk_c5,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_249112,c_252545]) ).
tcf(c_269236,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_249382,c_252545]) ).
tcf(c_269237,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249554,c_252545]) ).
tcf(c_269238,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249552,c_252545]) ).
tcf(c_269239,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249550,c_252545]) ).
tcf(c_269240,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249548,c_252545]) ).
tcf(c_269241,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249546,c_252545]) ).
tcf(c_269242,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260725,c_252545]) ).
tcf(c_269243,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259533,c_252545]) ).
tcf(c_269244,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260726,c_252545]) ).
tcf(c_269245,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259534,c_252545]) ).
tcf(c_269246,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_260724,c_252545]) ).
tcf(c_269247,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_15)),multiply(iPr_def_20,multiply(iPr_def_25,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_259532,c_252545]) ).
tcf(c_269248,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_21,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249553,c_252545]) ).
tcf(c_269249,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_21,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249551,c_252545]) ).
tcf(c_269250,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_21,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249549,c_252545]) ).
tcf(c_269251,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_21,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249547,c_252545]) ).
tcf(c_269252,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_21,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_249545,c_252545]) ).
tcf(c_269253,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c10)),multiply(sk_c7,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_249871,c_252545]) ).
tcf(c_269254,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,sk_c11)),multiply(sk_c1,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_249913,c_252545]) ).
tcf(c_269255,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(inverse(sk_c10),multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_252535,c_252545]) ).
tcf(c_269256,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(inverse(sk_c8),multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_252539,c_252545]) ).
tcf(c_269258,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,multiply(identity,X1))) = X1,
inference(superposition,[status(thm)],[c_253509,c_252545]) ).
tcf(c_269259,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_255603,c_252545]) ).
tcf(c_269260,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_254915,c_252545]) ).
tcf(c_269261,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_260564,c_252545]) ).
tcf(c_269262,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c6,multiply(multiply(iPr_def_18,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_263136,c_252545]) ).
tcf(c_269263,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_263265,c_252545]) ).
tcf(c_269264,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_263263,c_252545]) ).
tcf(c_269265,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_263261,c_252545]) ).
tcf(c_269266,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_263259,c_252545]) ).
tcf(c_269267,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_263257,c_252545]) ).
tcf(c_269268,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_263316,c_252545]) ).
tcf(c_269269,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_263314,c_252545]) ).
tcf(c_269270,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_263312,c_252545]) ).
tcf(c_269271,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_263310,c_252545]) ).
tcf(c_269272,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_263308,c_252545]) ).
tcf(c_269273,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c1,multiply(multiply(iPr_def_29,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_264220,c_252545]) ).
tcf(c_269274,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c2,multiply(multiply(iPr_def_27,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_265859,c_252545]) ).
tcf(c_269275,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267406,c_252545]) ).
tcf(c_269276,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267375,c_252545]) ).
tcf(c_269277,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267346,c_252545]) ).
tcf(c_269278,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267850,c_252545]) ).
tcf(c_269279,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267607,c_252545]) ).
tcf(c_269280,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267467,c_252545]) ).
tcf(c_269281,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267831,c_252545]) ).
tcf(c_269282,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267810,c_252545]) ).
tcf(c_269283,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267680,c_252545]) ).
tcf(c_269284,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267654,c_252545]) ).
tcf(c_269285,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_267633,c_252545]) ).
tcf(c_269286,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(identity,X0)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_103,c_252545]) ).
tcf(c_269287,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_104,c_252545]) ).
tcf(c_269288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_105,c_252545]) ).
tcf(c_269289,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c10,sk_c11)),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_240404,c_252545]) ).
tcf(c_269290,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_254594,c_252545]) ).
tcf(c_269291,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_254579,c_252545]) ).
tcf(c_269292,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_254566,c_252545]) ).
tcf(c_269293,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,sk_c11)),multiply(iPr_def_26,X0)) = X0,
inference(superposition,[status(thm)],[c_240405,c_252545]) ).
tcf(c_269294,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_257228,c_252545]) ).
tcf(c_269295,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_257207,c_252545]) ).
tcf(c_269296,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,sk_c10)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_240406,c_252545]) ).
tcf(c_269297,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258608,c_252545]) ).
tcf(c_269298,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258502,c_252545]) ).
tcf(c_269299,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258446,c_252545]) ).
tcf(c_269300,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258403,c_252545]) ).
tcf(c_269301,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258280,c_252545]) ).
tcf(c_269302,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,sk_c8)),multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_240407,c_252545]) ).
tcf(c_269303,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,sk_c10)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_240408,c_252545]) ).
tcf(c_269304,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_240409,c_252545]) ).
tcf(c_269305,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,sk_c10)),multiply(iPr_def_28,X0)) = X0,
inference(superposition,[status(thm)],[c_240410,c_252545]) ).
tcf(c_269306,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,sk_c9)),multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_240411,c_252545]) ).
tcf(c_269307,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_252516,c_252545]) ).
tcf(c_269308,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,sk_c3)),X0) = X0,
inference(superposition,[status(thm)],[c_240429,c_252545]) ).
tcf(c_269309,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,sk_c4)),X0) = X0,
inference(superposition,[status(thm)],[c_240428,c_252545]) ).
tcf(c_269310,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c5)),X0) = X0,
inference(superposition,[status(thm)],[c_240427,c_252545]) ).
tcf(c_269311,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,sk_c7)),X0) = X0,
inference(superposition,[status(thm)],[c_240426,c_252545]) ).
tcf(c_269312,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_18,sk_c6)),X0) = X0,
inference(superposition,[status(thm)],[c_240425,c_252545]) ).
tcf(c_269313,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_29,sk_c1)),X0) = X0,
inference(superposition,[status(thm)],[c_240424,c_252545]) ).
tcf(c_269314,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_27,sk_c2)),X0) = X0,
inference(superposition,[status(thm)],[c_240423,c_252545]) ).
tcf(c_269315,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c11)),multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_242949,c_252545]) ).
tcf(c_269316,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,iPr_def_22)),multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_243674,c_252545]) ).
tcf(c_269317,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_27,iPr_def_17)),multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_243033,c_252545]) ).
tcf(c_269318,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_29,iPr_def_28)),multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_243048,c_252545]) ).
tcf(c_269319,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243334,c_252545]) ).
tcf(c_269320,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243332,c_252545]) ).
tcf(c_269321,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243330,c_252545]) ).
tcf(c_269322,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243328,c_252545]) ).
tcf(c_269323,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243326,c_252545]) ).
tcf(c_269324,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243335,c_252545]) ).
tcf(c_269325,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243333,c_252545]) ).
tcf(c_269326,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243331,c_252545]) ).
tcf(c_269327,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243329,c_252545]) ).
tcf(c_269328,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243327,c_252545]) ).
tcf(c_269329,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,iPr_def_16)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_243392,c_252545]) ).
tcf(c_269330,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,iPr_def_22)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_243685,c_252545]) ).
tcf(c_269331,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,iPr_def_24)),multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_243688,c_252545]) ).
tcf(c_269332,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,iPr_def_26)),multiply(sk_c11,X0)) = X0,
inference(superposition,[status(thm)],[c_243693,c_252545]) ).
tcf(c_269333,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_17,sk_c2)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_243700,c_252545]) ).
tcf(c_269334,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,iPr_def_21)),X0) = X0,
inference(superposition,[status(thm)],[c_258022,c_252545]) ).
tcf(c_269335,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,iPr_def_23)),X0) = X0,
inference(superposition,[status(thm)],[c_257072,c_252545]) ).
tcf(c_269336,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,iPr_def_25)),X0) = X0,
inference(superposition,[status(thm)],[c_254462,c_252545]) ).
tcf(c_269337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_27,iPr_def_28)),multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_241695,c_252545]) ).
tcf(c_269339,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,iPr_def_19)),X0) = X0,
inference(superposition,[status(thm)],[c_260564,c_252545]) ).
tcf(c_269340,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_18)),X0) = X0,
inference(superposition,[status(thm)],[c_263136,c_252545]) ).
tcf(c_269341,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_263316,c_252545]) ).
tcf(c_269342,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_263314,c_252545]) ).
tcf(c_269343,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_263312,c_252545]) ).
tcf(c_269344,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_263310,c_252545]) ).
tcf(c_269345,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_263308,c_252545]) ).
tcf(c_269346,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,iPr_def_29)),X0) = X0,
inference(superposition,[status(thm)],[c_264220,c_252545]) ).
tcf(c_269347,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,iPr_def_27)),X0) = X0,
inference(superposition,[status(thm)],[c_265859,c_252545]) ).
tcf(c_269348,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = sk_c11,
inference(superposition,[status(thm)],[c_627,c_252545]) ).
tcf(c_269349,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = sk_c11,
inference(superposition,[status(thm)],[c_254766,c_252545]) ).
tcf(c_269351,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = sk_c10,
inference(superposition,[status(thm)],[c_257354,c_252545]) ).
tcf(c_269353,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = sk_c8,
inference(superposition,[status(thm)],[c_258524,c_252545]) ).
tcf(c_269355,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_632,c_252545]) ).
tcf(c_269356,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = sk_c8,
inference(superposition,[status(thm)],[c_260887,c_252545]) ).
tcf(c_269358,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = sk_c10,
inference(superposition,[status(thm)],[c_265765,c_252545]) ).
tcf(c_269360,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_266729,c_252545]) ).
tcf(c_269362,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_103,c_252545]) ).
tcf(c_269363,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,identity)) = X1,
inference(superposition,[status(thm)],[c_104,c_252545]) ).
tcf(c_269364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_105,c_252545]) ).
tcf(c_269365,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_261492,c_252545]) ).
tcf(c_269366,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_242395,c_252545]) ).
tcf(c_269367,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_238915,c_252545]) ).
tcf(c_269368,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242260,c_252545]) ).
tcf(c_269369,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239026,c_252545]) ).
tcf(c_269370,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_238916,c_252545]) ).
tcf(c_269371,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242060,c_252545]) ).
tcf(c_269372,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238997,c_252545]) ).
tcf(c_269373,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_238917,c_252545]) ).
tcf(c_269374,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242520,c_252545]) ).
tcf(c_269375,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_239155,c_252545]) ).
tcf(c_269376,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_238936,c_252545]) ).
tcf(c_269377,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_242651,c_252545]) ).
tcf(c_269378,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_238950,c_252545]) ).
tcf(c_269379,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_240193,c_252545]) ).
tcf(c_269380,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239718,c_252545]) ).
tcf(c_269381,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239303,c_252545]) ).
tcf(c_269382,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239037,c_252545]) ).
tcf(c_269383,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_239035,c_252545]) ).
tcf(c_269384,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_240092,c_252545]) ).
tcf(c_269385,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239579,c_252545]) ).
tcf(c_269386,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239217,c_252545]) ).
tcf(c_269387,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239038,c_252545]) ).
tcf(c_269388,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239036,c_252545]) ).
tcf(c_269389,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_240293,c_252545]) ).
tcf(c_269390,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239872,c_252545]) ).
tcf(c_269391,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239437,c_252545]) ).
tcf(c_269392,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239141,c_252545]) ).
tcf(c_269393,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_239047,c_252545]) ).
tcf(c_269394,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240192,c_252545]) ).
tcf(c_269395,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239717,c_252545]) ).
tcf(c_269396,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239302,c_252545]) ).
tcf(c_269397,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239052,c_252545]) ).
tcf(c_269398,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239050,c_252545]) ).
tcf(c_269399,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_240091,c_252545]) ).
tcf(c_269400,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239578,c_252545]) ).
tcf(c_269401,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239216,c_252545]) ).
tcf(c_269402,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239053,c_252545]) ).
tcf(c_269403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_239051,c_252545]) ).
tcf(c_269404,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242650,c_252545]) ).
tcf(c_269405,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239054,c_252545]) ).
tcf(c_269406,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261490,c_252545]) ).
tcf(c_269407,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242393,c_252545]) ).
tcf(c_269408,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239055,c_252545]) ).
tcf(c_269409,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = iPr_def_21,
inference(superposition,[status(thm)],[c_258018,c_252545]) ).
tcf(c_269410,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_240090,c_252545]) ).
tcf(c_269411,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239577,c_252545]) ).
tcf(c_269412,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239215,c_252545]) ).
tcf(c_269413,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239071,c_252545]) ).
tcf(c_269414,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_239069,c_252545]) ).
tcf(c_269415,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242649,c_252545]) ).
tcf(c_269416,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239080,c_252545]) ).
tcf(c_269417,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_23,
inference(superposition,[status(thm)],[c_257068,c_252545]) ).
tcf(c_269418,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242257,c_252545]) ).
tcf(c_269419,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239089,c_252545]) ).
tcf(c_269420,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_239086,c_252545]) ).
tcf(c_269421,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242057,c_252545]) ).
tcf(c_269422,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239090,c_252545]) ).
tcf(c_269423,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_239087,c_252545]) ).
tcf(c_269424,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,identity)) = iPr_def_25,
inference(superposition,[status(thm)],[c_254458,c_252545]) ).
tcf(c_269425,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_242648,c_252545]) ).
tcf(c_269426,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_239101,c_252545]) ).
tcf(c_269427,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_261488,c_252545]) ).
tcf(c_269428,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_242391,c_252545]) ).
tcf(c_269429,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_239102,c_252545]) ).
tcf(c_269430,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c3,
inference(superposition,[status(thm)],[c_239325,c_252545]) ).
tcf(c_269431,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_239326,c_252545]) ).
tcf(c_269432,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = sk_c5,
inference(superposition,[status(thm)],[c_239327,c_252545]) ).
tcf(c_269433,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,identity)) = sk_c7,
inference(superposition,[status(thm)],[c_239328,c_252545]) ).
tcf(c_269434,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = sk_c6,
inference(superposition,[status(thm)],[c_239329,c_252545]) ).
tcf(c_269435,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,identity)) = sk_c1,
inference(superposition,[status(thm)],[c_239330,c_252545]) ).
tcf(c_269436,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,identity)) = sk_c2,
inference(superposition,[status(thm)],[c_239331,c_252545]) ).
tcf(c_269437,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260099,c_252545]) ).
tcf(c_269438,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241780,c_252545]) ).
tcf(c_269439,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241718,c_252545]) ).
tcf(c_269440,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241646,c_252545]) ).
tcf(c_269441,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241592,c_252545]) ).
tcf(c_269442,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240796,c_252545]) ).
tcf(c_269443,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239172,c_252545]) ).
tcf(c_269444,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239117,c_252545]) ).
tcf(c_269445,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260100,c_252545]) ).
tcf(c_269446,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241781,c_252545]) ).
tcf(c_269447,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241719,c_252545]) ).
tcf(c_269448,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241647,c_252545]) ).
tcf(c_269449,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241593,c_252545]) ).
tcf(c_269450,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240797,c_252545]) ).
tcf(c_269451,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239173,c_252545]) ).
tcf(c_269452,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239118,c_252545]) ).
tcf(c_269453,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_260101,c_252545]) ).
tcf(c_269454,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241782,c_252545]) ).
tcf(c_269455,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241720,c_252545]) ).
tcf(c_269456,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241648,c_252545]) ).
tcf(c_269457,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_241594,c_252545]) ).
tcf(c_269458,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_240798,c_252545]) ).
tcf(c_269459,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239174,c_252545]) ).
tcf(c_269460,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_239119,c_252545]) ).
tcf(c_269461,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_260103,c_252545]) ).
tcf(c_269462,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241784,c_252545]) ).
tcf(c_269463,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241722,c_252545]) ).
tcf(c_269464,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241650,c_252545]) ).
tcf(c_269465,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_241596,c_252545]) ).
tcf(c_269466,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240800,c_252545]) ).
tcf(c_269467,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_239176,c_252545]) ).
tcf(c_269468,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_239121,c_252545]) ).
tcf(c_269469,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241900,c_252545]) ).
tcf(c_269470,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241842,c_252545]) ).
tcf(c_269471,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239500,c_252545]) ).
tcf(c_269472,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239455,c_252545]) ).
tcf(c_269473,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239391,c_252545]) ).
tcf(c_269474,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239344,c_252545]) ).
tcf(c_269475,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239258,c_252545]) ).
tcf(c_269476,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241904,c_252545]) ).
tcf(c_269477,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_241846,c_252545]) ).
tcf(c_269478,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239504,c_252545]) ).
tcf(c_269479,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239459,c_252545]) ).
tcf(c_269480,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239395,c_252545]) ).
tcf(c_269481,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239348,c_252545]) ).
tcf(c_269482,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_239262,c_252545]) ).
tcf(c_269483,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240131,c_252545]) ).
tcf(c_269484,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240057,c_252545]) ).
tcf(c_269485,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240055,c_252545]) ).
tcf(c_269486,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240053,c_252545]) ).
tcf(c_269487,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_240051,c_252545]) ).
tcf(c_269488,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240058,c_252545]) ).
tcf(c_269489,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240056,c_252545]) ).
tcf(c_269490,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240054,c_252545]) ).
tcf(c_269491,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240052,c_252545]) ).
tcf(c_269492,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_240050,c_252545]) ).
tcf(c_269493,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242183,c_252545]) ).
tcf(c_269494,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242001,c_252545]) ).
tcf(c_269495,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239975,c_252545]) ).
tcf(c_269496,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239896,c_252545]) ).
tcf(c_269497,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239821,c_252545]) ).
tcf(c_269498,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239750,c_252545]) ).
tcf(c_269499,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239644,c_252545]) ).
tcf(c_269500,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242187,c_252545]) ).
tcf(c_269501,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_242005,c_252545]) ).
tcf(c_269502,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239979,c_252545]) ).
tcf(c_269503,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239900,c_252545]) ).
tcf(c_269504,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239825,c_252545]) ).
tcf(c_269505,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239754,c_252545]) ).
tcf(c_269506,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_239648,c_252545]) ).
tcf(c_269507,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255607,c_252545]) ).
tcf(c_269508,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_15)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254919,c_252545]) ).
tcf(c_269509,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242829,c_252545]) ).
tcf(c_269510,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_242775,c_252545]) ).
tcf(c_269511,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240370,c_252545]) ).
tcf(c_269512,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240328,c_252545]) ).
tcf(c_269513,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240257,c_252545]) ).
tcf(c_269514,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240215,c_252545]) ).
tcf(c_269515,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_240155,c_252545]) ).
tcf(c_269516,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259780,c_252545]) ).
tcf(c_269517,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258746,c_252545]) ).
tcf(c_269518,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257740,c_252545]) ).
tcf(c_269519,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256506,c_252545]) ).
tcf(c_269520,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256205,c_252545]) ).
tcf(c_269521,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255824,c_252545]) ).
tcf(c_269522,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240741,c_252545]) ).
tcf(c_269523,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240681,c_252545]) ).
tcf(c_269524,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240631,c_252545]) ).
tcf(c_269525,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240579,c_252545]) ).
tcf(c_269526,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240510,c_252545]) ).
tcf(c_269527,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240452,c_252545]) ).
tcf(c_269528,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259781,c_252545]) ).
tcf(c_269529,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258747,c_252545]) ).
tcf(c_269530,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257741,c_252545]) ).
tcf(c_269531,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256507,c_252545]) ).
tcf(c_269532,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256206,c_252545]) ).
tcf(c_269533,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255825,c_252545]) ).
tcf(c_269534,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240742,c_252545]) ).
tcf(c_269535,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240682,c_252545]) ).
tcf(c_269536,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240632,c_252545]) ).
tcf(c_269537,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240580,c_252545]) ).
tcf(c_269538,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240511,c_252545]) ).
tcf(c_269539,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240453,c_252545]) ).
tcf(c_269540,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_259782,c_252545]) ).
tcf(c_269541,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_258748,c_252545]) ).
tcf(c_269542,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_257742,c_252545]) ).
tcf(c_269543,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256508,c_252545]) ).
tcf(c_269544,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_256207,c_252545]) ).
tcf(c_269545,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_255826,c_252545]) ).
tcf(c_269546,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240743,c_252545]) ).
tcf(c_269547,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240683,c_252545]) ).
tcf(c_269548,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240633,c_252545]) ).
tcf(c_269549,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240581,c_252545]) ).
tcf(c_269550,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240512,c_252545]) ).
tcf(c_269551,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_240454,c_252545]) ).
tcf(c_269552,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_259784,c_252545]) ).
tcf(c_269553,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_258750,c_252545]) ).
tcf(c_269554,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_257744,c_252545]) ).
tcf(c_269555,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_256510,c_252545]) ).
tcf(c_269556,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_256209,c_252545]) ).
tcf(c_269557,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_255828,c_252545]) ).
tcf(c_269558,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240745,c_252545]) ).
tcf(c_269559,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240685,c_252545]) ).
tcf(c_269560,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240635,c_252545]) ).
tcf(c_269561,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240583,c_252545]) ).
tcf(c_269562,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240514,c_252545]) ).
tcf(c_269563,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_240456,c_252545]) ).
tcf(c_269564,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_240404,c_252545]) ).
tcf(c_269565,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_254594,c_252545]) ).
tcf(c_269566,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_254579,c_252545]) ).
tcf(c_269567,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_254566,c_252545]) ).
tcf(c_269568,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,multiply(iPr_def_26,X1))) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_240405,c_252545]) ).
tcf(c_269569,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_257228,c_252545]) ).
tcf(c_269570,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_257207,c_252545]) ).
tcf(c_269571,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_240406,c_252545]) ).
tcf(c_269572,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258608,c_252545]) ).
tcf(c_269573,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258502,c_252545]) ).
tcf(c_269574,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258446,c_252545]) ).
tcf(c_269575,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258403,c_252545]) ).
tcf(c_269576,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_258280,c_252545]) ).
tcf(c_269577,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_240407,c_252545]) ).
tcf(c_269578,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_240408,c_252545]) ).
tcf(c_269579,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_240409,c_252545]) ).
tcf(c_269580,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_28,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_240410,c_252545]) ).
tcf(c_269581,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_17,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_240411,c_252545]) ).
tcf(c_269582,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_252516,c_252545]) ).
tcf(c_269583,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c3,X1),
inference(superposition,[status(thm)],[c_240429,c_252545]) ).
tcf(c_269584,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,X1)) = multiply(sk_c4,X1),
inference(superposition,[status(thm)],[c_240428,c_252545]) ).
tcf(c_269585,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,X1)) = multiply(sk_c5,X1),
inference(superposition,[status(thm)],[c_240427,c_252545]) ).
tcf(c_269586,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,X1)) = multiply(sk_c7,X1),
inference(superposition,[status(thm)],[c_240426,c_252545]) ).
tcf(c_269587,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_240425,c_252545]) ).
tcf(c_269588,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,X1)) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_240424,c_252545]) ).
tcf(c_269589,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = multiply(sk_c2,X1),
inference(superposition,[status(thm)],[c_240423,c_252545]) ).
tcf(c_269590,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_27,
inference(superposition,[status(thm)],[c_265855,c_252545]) ).
tcf(c_269591,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = iPr_def_29,
inference(superposition,[status(thm)],[c_264216,c_252545]) ).
tcf(c_269592,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = iPr_def_18,
inference(superposition,[status(thm)],[c_263132,c_252545]) ).
tcf(c_269593,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = iPr_def_19,
inference(superposition,[status(thm)],[c_260560,c_252545]) ).
tcf(c_269594,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_242946,c_252545]) ).
tcf(c_269595,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_242947,c_252545]) ).
tcf(c_269596,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_242948,c_252545]) ).
tcf(c_269597,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(sk_c11,X1) ) ),
inference(superposition,[status(thm)],[c_242949,c_252545]) ).
tcf(c_269598,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_15)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_243672,c_252545]) ).
tcf(c_269599,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(iPr_def_22,X1) ) ),
inference(superposition,[status(thm)],[c_243674,c_252545]) ).
tcf(c_269600,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,sk_c9)) = iPr_def_17,
inference(superposition,[status(thm)],[c_243031,c_252545]) ).
tcf(c_269601,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(sk_c9,X1))) = multiply(iPr_def_17,X1),
inference(superposition,[status(thm)],[c_243033,c_252545]) ).
tcf(c_269602,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,sk_c10)) = iPr_def_28,
inference(superposition,[status(thm)],[c_243038,c_252545]) ).
tcf(c_269603,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_29)),multiply(X0,multiply(sk_c10,X1))) = multiply(iPr_def_28,X1),
inference(superposition,[status(thm)],[c_243048,c_252545]) ).
tcf(c_269604,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_243334,c_252545]) ).
tcf(c_269605,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_243332,c_252545]) ).
tcf(c_269606,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_243330,c_252545]) ).
tcf(c_269607,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_243328,c_252545]) ).
tcf(c_269608,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_243326,c_252545]) ).
tcf(c_269609,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_243335,c_252545]) ).
tcf(c_269610,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_243333,c_252545]) ).
tcf(c_269611,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_243331,c_252545]) ).
tcf(c_269612,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_243329,c_252545]) ).
tcf(c_269613,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_243327,c_252545]) ).
tcf(c_269614,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,sk_c8)) = iPr_def_16,
inference(superposition,[status(thm)],[c_243371,c_252545]) ).
tcf(c_269615,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_243392,c_252545]) ).
tcf(c_269616,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,sk_c8)) = iPr_def_22,
inference(superposition,[status(thm)],[c_243395,c_252545]) ).
tcf(c_269617,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_15)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_243860,c_252545]) ).
tcf(c_269618,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_22,X1),
inference(superposition,[status(thm)],[c_243685,c_252545]) ).
tcf(c_269619,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,sk_c10)) = iPr_def_24,
inference(superposition,[status(thm)],[c_243686,c_252545]) ).
tcf(c_269620,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(sk_c10,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_243688,c_252545]) ).
tcf(c_269621,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c11)) = iPr_def_26,
inference(superposition,[status(thm)],[c_243689,c_252545]) ).
tcf(c_269622,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,multiply(sk_c11,X1))) = multiply(iPr_def_26,X1),
inference(superposition,[status(thm)],[c_243693,c_252545]) ).
tcf(c_269623,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,sk_c9)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_243699,c_252545]) ).
tcf(c_269624,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(sk_c2,X1) ) ),
inference(superposition,[status(thm)],[c_243700,c_252545]) ).
tcf(c_269625,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_243898,c_252545]) ).
tcf(c_269626,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244486,c_252545]) ).
tcf(c_269627,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244487,c_252545]) ).
tcf(c_269628,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_244526,c_252545]) ).
tcf(c_269629,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_244527,c_252545]) ).
tcf(c_269630,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,X1)) = multiply(iPr_def_21,X1),
inference(superposition,[status(thm)],[c_258022,c_252545]) ).
tcf(c_269631,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,X1)) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_257072,c_252545]) ).
tcf(c_269632,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1)) = multiply(iPr_def_25,X1),
inference(superposition,[status(thm)],[c_254462,c_252545]) ).
tcf(c_269633,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_245336,c_252545]) ).
tcf(c_269634,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = iPr_def_29 ) ),
inference(superposition,[status(thm)],[c_245080,c_252545]) ).
tcf(c_269635,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_245341,c_252545]) ).
tcf(c_269636,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_15)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33896,c_252545]) ).
tcf(c_269637,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_241695,c_252545]) ).
tcf(c_269638,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_24,sk_c11))) = iPr_def_15,
inference(superposition,[status(thm)],[c_248636,c_252545]) ).
tcf(c_269639,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,sk_c10))) = iPr_def_20,
inference(superposition,[status(thm)],[c_249112,c_252545]) ).
tcf(c_269640,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_15,
inference(superposition,[status(thm)],[c_249382,c_252545]) ).
tcf(c_269641,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249554,c_252545]) ).
tcf(c_269642,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249552,c_252545]) ).
tcf(c_269643,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249550,c_252545]) ).
tcf(c_269644,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249548,c_252545]) ).
tcf(c_269645,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_249546,c_252545]) ).
tcf(c_269646,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_260725,c_252545]) ).
tcf(c_269647,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_259533,c_252545]) ).
tcf(c_269648,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_260726,c_252545]) ).
tcf(c_269649,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_259534,c_252545]) ).
tcf(c_269650,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_260724,c_252545]) ).
tcf(c_269651,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_15))) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_259532,c_252545]) ).
tcf(c_269652,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249553,c_252545]) ).
tcf(c_269653,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249551,c_252545]) ).
tcf(c_269654,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249549,c_252545]) ).
tcf(c_269655,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249547,c_252545]) ).
tcf(c_269656,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c11))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_249545,c_252545]) ).
tcf(c_269657,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,sk_c10))) = iPr_def_20,
inference(superposition,[status(thm)],[c_249871,c_252545]) ).
tcf(c_269658,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_28,sk_c11))) = iPr_def_15,
inference(superposition,[status(thm)],[c_249913,c_252545]) ).
tcf(c_269659,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c10))),multiply(X0,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_252535,c_252545]) ).
tcf(c_269660,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_252539,c_252545]) ).
tcf(c_269662,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = identity,
inference(superposition,[status(thm)],[c_253509,c_252545]) ).
tcf(c_269663,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_255603,c_252545]) ).
tcf(c_269664,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_254915,c_252545]) ).
tcf(c_269665,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1)) = multiply(iPr_def_19,X1),
inference(superposition,[status(thm)],[c_260564,c_252545]) ).
tcf(c_269666,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,X1)) = multiply(iPr_def_18,X1),
inference(superposition,[status(thm)],[c_263136,c_252545]) ).
tcf(c_269667,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263265,c_252545]) ).
tcf(c_269668,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263263,c_252545]) ).
tcf(c_269669,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263261,c_252545]) ).
tcf(c_269670,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263259,c_252545]) ).
tcf(c_269671,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_263257,c_252545]) ).
tcf(c_269672,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_263316,c_252545]) ).
tcf(c_269673,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_263314,c_252545]) ).
tcf(c_269674,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_263312,c_252545]) ).
tcf(c_269675,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_263310,c_252545]) ).
tcf(c_269676,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_263308,c_252545]) ).
tcf(c_269677,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,X1)) = multiply(iPr_def_29,X1),
inference(superposition,[status(thm)],[c_264220,c_252545]) ).
tcf(c_269678,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,X1)) = multiply(iPr_def_27,X1),
inference(superposition,[status(thm)],[c_265859,c_252545]) ).
tcf(c_269679,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_267406,c_252545]) ).
tcf(c_269680,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_267375,c_252545]) ).
tcf(c_269681,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_267346,c_252545]) ).
tcf(c_269682,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_267850,c_252545]) ).
tcf(c_269683,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_267607,c_252545]) ).
tcf(c_269684,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_267467,c_252545]) ).
tcf(c_269685,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267831,c_252545]) ).
tcf(c_269686,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267810,c_252545]) ).
tcf(c_269687,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267680,c_252545]) ).
tcf(c_269688,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267654,c_252545]) ).
tcf(c_269689,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_267633,c_252545]) ).
tcf(c_269690,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_252545,c_252545]) ).
tcf(c_269691,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_252545,c_252516]) ).
tcf(c_269692,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_252545,c_105]) ).
tcf(c_269693,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_252545,c_252545]) ).
tcf(c_269694,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),X2) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_252545,c_252545]) ).
tcf(c_269710,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),X0) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_269593,c_253509]) ).
tcf(c_269711,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),X0) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_269592,c_253509]) ).
tcf(c_269712,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),X0) = iPr_def_29,
inference(light_normalisation,[status(thm)],[c_269591,c_253509]) ).
tcf(c_269713,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_269590,c_253509]) ).
tcf(c_269714,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_269436,c_253509]) ).
tcf(c_269715,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_29)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_269435,c_253509]) ).
tcf(c_269716,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_269434,c_253509]) ).
tcf(c_269717,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),X0) = sk_c7,
inference(light_normalisation,[status(thm)],[c_269433,c_253509]) ).
tcf(c_269718,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),X0) = sk_c5,
inference(light_normalisation,[status(thm)],[c_269432,c_253509]) ).
tcf(c_269719,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_269431,c_253509]) ).
tcf(c_269720,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c3,
inference(light_normalisation,[status(thm)],[c_269430,c_253509]) ).
tcf(c_269721,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),X0) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_269424,c_253509]) ).
tcf(c_269722,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_269417,c_253509]) ).
tcf(c_269723,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),X0) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_269409,c_253509]) ).
tcf(c_269725,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269332,c_243689]) ).
tcf(c_269726,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269331,c_243686]) ).
tcf(c_269727,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269330,c_243395]) ).
tcf(c_269730,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269317,c_243031]) ).
tcf(c_269731,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(iPr_def_17,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269306,c_266729]) ).
tcf(c_269732,plain,
! [X0: $i] : multiply(inverse(iPr_def_28),multiply(iPr_def_28,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269305,c_265765]) ).
tcf(c_269733,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(iPr_def_16,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269304,c_260887]) ).
tcf(c_269734,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_20,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269303,c_632]) ).
tcf(c_269735,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(iPr_def_22,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269302,c_258524]) ).
tcf(c_269736,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269296,c_257354]) ).
tcf(c_269737,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_26,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269293,c_254766]) ).
tcf(c_269738,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_269289,c_627]) ).
tcf(c_269768,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(light_normalisation,[status(thm)],[c_269363,c_253509]) ).
tcf(c_269804,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,sk_c11)),multiply(iPr_def_28,multiply(sk_c11,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_269254,c_249930]) ).
tcf(c_269805,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c10)),multiply(iPr_def_16,multiply(sk_c10,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_269253,c_249876]) ).
tcf(c_269806,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c11)),multiply(iPr_def_20,multiply(sk_c11,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_269236,c_249399]) ).
tcf(c_269807,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c10)),multiply(iPr_def_22,multiply(sk_c10,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_269235,c_249422]) ).
tcf(c_269808,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,sk_c11)),multiply(iPr_def_24,multiply(sk_c11,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_269234,c_248653]) ).
tcf(c_269809,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_269689,c_253509]) ).
tcf(c_269812,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_269688,c_253509]) ).
tcf(c_269815,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_269687,c_253509]) ).
tcf(c_269818,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_269686,c_253509]) ).
tcf(c_269821,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_269685,c_253509]) ).
tcf(c_269824,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_269684,c_253509]) ).
tcf(c_269827,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_269683,c_253509]) ).
tcf(c_269830,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_269682,c_253509]) ).
tcf(c_269833,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_269681,c_253509]) ).
tcf(c_269836,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_269680,c_253509]) ).
tcf(c_269839,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_269679,c_253509]) ).
tcf(c_269842,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_269671,c_253509]) ).
tcf(c_269845,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_269670,c_253509]) ).
tcf(c_269848,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_269669,c_253509]) ).
tcf(c_269851,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_269668,c_253509]) ).
tcf(c_269854,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_269667,c_253509]) ).
tcf(c_270053,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_269492,c_253509]) ).
tcf(c_270056,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_269491,c_253509]) ).
tcf(c_270059,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_269490,c_253509]) ).
tcf(c_270062,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_269489,c_253509]) ).
tcf(c_270065,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_269488,c_253509]) ).
tcf(c_270068,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_269487,c_253509]) ).
tcf(c_270071,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_269486,c_253509]) ).
tcf(c_270074,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_269485,c_253509]) ).
tcf(c_270077,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_269484,c_253509]) ).
tcf(c_270080,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_269483,c_253509]) ).
tcf(c_270325,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269285,c_64051]) ).
tcf(c_270328,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269284,c_64051]) ).
tcf(c_270331,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269283,c_64051]) ).
tcf(c_270334,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269282,c_64051]) ).
tcf(c_270337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269281,c_64051]) ).
tcf(c_270340,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269280,c_64051]) ).
tcf(c_270343,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269279,c_64051]) ).
tcf(c_270346,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269278,c_64051]) ).
tcf(c_270349,plain,
! [X0: $i] :
( ( iPr_def_28 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269277,c_64051]) ).
tcf(c_270352,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269276,c_64051]) ).
tcf(c_270355,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269275,c_64051]) ).
tcf(c_270358,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269267,c_64051]) ).
tcf(c_270361,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269266,c_64051]) ).
tcf(c_270364,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269265,c_64051]) ).
tcf(c_270367,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269264,c_64051]) ).
tcf(c_270370,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269263,c_64051]) ).
tcf(c_270397,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(multiply(sk_c11,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269218,c_252498]) ).
tcf(c_270398,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(multiply(sk_c10,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269216,c_252492]) ).
tcf(c_270399,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(multiply(sk_c8,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269214,c_252491]) ).
tcf(c_270404,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(multiply(sk_c9,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269197,c_252373]) ).
tcf(c_270413,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_17,X0)),multiply(multiply(iPr_def_17,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269177,c_250281]) ).
tcf(c_270414,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_28,X0)),multiply(multiply(iPr_def_28,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269176,c_249952]) ).
tcf(c_270415,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(multiply(iPr_def_16,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269175,c_249896]) ).
tcf(c_270416,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_269174,c_249421]) ).
tcf(c_270417,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_22,X0)),multiply(multiply(iPr_def_22,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269173,c_249135]) ).
tcf(c_270428,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_269167,c_248675]) ).
tcf(c_270433,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_26,X0)),multiply(multiply(iPr_def_26,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269164,c_248620]) ).
tcf(c_270440,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(multiply(iPr_def_15,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_269160,c_248458]) ).
tcf(c_270583,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269088,c_64051]) ).
tcf(c_270586,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269087,c_64051]) ).
tcf(c_270589,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269086,c_64051]) ).
tcf(c_270592,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269085,c_64051]) ).
tcf(c_270595,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269084,c_64051]) ).
tcf(c_270598,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_29 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269083,c_64051]) ).
tcf(c_270601,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269082,c_64051]) ).
tcf(c_270604,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269081,c_64051]) ).
tcf(c_270607,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269080,c_64051]) ).
tcf(c_270610,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_269079,c_64051]) ).
tcf(c_274213,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_270355,c_270352,c_270343,c_270337,c_270334,c_270331,c_270328,c_270325,c_269839,c_269836,c_269827,c_269821,c_269818,c_269815,c_269812,c_269809,c_269689,c_269688,c_269687,c_269686,c_269685,c_269683,c_269680,c_269679,c_269663,c_269576,c_269575,c_269574,c_269569,c_269566,c_269565,c_269557,c_269556,c_269555,c_269554,c_269553,c_269552,c_269545,c_269544,c_269543,c_269542,c_269541,c_269540,c_269533,c_269532,c_269531,c_269530,c_269529,c_269528,c_269521,c_269520,c_269519,c_269518,c_269517,c_269516,c_269507,c_269461,c_269453,c_269445,c_269437,c_269301,c_269300,c_269299,c_269294,c_269291,c_269290,c_269285,c_269284,c_269283,c_269282,c_269281,c_269279,c_269276,c_269275,c_269259,c_269172,c_269171,c_269170,c_269165,c_269162,c_269161,c_269153,c_269152,c_269151,c_269150,c_269149,c_269148,c_269141,c_269140,c_269139,c_269138,c_269137,c_269136,c_269129,c_269128,c_269127,c_269126,c_269125,c_269124,c_269117,c_269116,c_269115,c_269114,c_269113,c_269112,c_269103,c_269057,c_269049,c_269041,c_269033,c_268847,c_268836,c_268746,c_268745,c_268744,c_268743,c_268742,c_268684,c_268683,c_268682,c_268681,c_268680,c_268626,c_268625,c_268624,c_268623,c_268622,c_268543,c_268544,c_268545,c_268546,c_268547,c_268542,c_268508,c_268507,c_268499,c_268409,c_268075,c_268074,c_268073,c_268069,c_268068,c_268066,c_268065,c_267961,c_267955,c_267954,c_267939,c_267933,c_267932,c_267917,c_267911,c_267910,c_267832,c_267831,c_267830,c_267811,c_267810,c_267809,c_267799,c_267793,c_267792,c_267777,c_267771,c_267770,c_267755,c_267752,c_267751,c_267681,c_267680,c_267679,c_267655,c_267654,c_267653,c_267634,c_267633,c_267632,c_267608,c_267607,c_267606,c_267595,c_267591,c_267590,c_267577,c_267573,c_267572,c_267407,c_267406,c_267405,c_267376,c_267375,c_267374,c_267294,c_267234,c_267231,c_267229,c_267228,c_267226,c_267120,c_267037,c_267036,c_267034,c_267032,c_267031,c_267030,c_267028,c_267027,c_266735,c_266661,c_266659,c_266643,c_266641,c_266625,c_266574,c_266571,c_266569,c_266568,c_266566,c_266399,c_266398,c_266397,c_266396,c_266395,c_266394,c_266393,c_266392,c_266390,c_266389,c_266180,c_266179,c_266178,c_266177,c_266176,c_266175,c_266174,c_266173,c_266171,c_266170,c_266027,c_266026,c_266025,c_266023,c_266022,c_265761,c_265759,c_265752,c_265750,c_265739,c_265738,c_265672,c_265669,c_265667,c_265666,c_265664,c_264588,c_264579,c_264565,c_264555,c_264177,c_264175,c_264168,c_264166,c_263797,c_263796,c_263795,c_263794,c_263793,c_263792,c_263791,c_263724,c_263723,c_263722,c_263721,c_263720,c_263719,c_263718,c_263679,c_263678,c_263677,c_263676,c_263675,c_263674,c_263673,c_263644,c_263643,c_262940,c_262857,c_262653,c_262650,c_262648,c_262647,c_262645,c_262618,c_262616,c_262552,c_262551,c_262550,c_262549,c_262548,c_262547,c_262546,c_262242,c_262241,c_262239,c_262229,c_262228,c_262219,c_262218,c_262217,c_262216,c_262213,c_262212,c_262210,c_262209,c_262208,c_262206,c_262204,c_262203,c_262202,c_262201,c_262197,c_262195,c_262194,c_262193,c_262192,c_262191,c_262190,c_262186,c_262184,c_262183,c_262182,c_262181,c_262180,c_262179,c_262240,c_262236,c_262175,c_261937,c_261936,c_261934,c_261924,c_261923,c_261914,c_261913,c_261912,c_261911,c_261908,c_261907,c_261905,c_261904,c_261903,c_261901,c_261899,c_261898,c_261897,c_261896,c_261892,c_261890,c_261889,c_261888,c_261887,c_261886,c_261885,c_261881,c_261879,c_261878,c_261877,c_261876,c_261875,c_261874,c_261935,c_261931,c_261871,c_261870,c_261455,c_261446,c_261427,c_261425,c_261424,c_261422,c_261421,c_261143,c_261142,c_261140,c_261130,c_261129,c_261120,c_261119,c_261118,c_261117,c_261114,c_261113,c_261111,c_261110,c_261109,c_261107,c_261105,c_261104,c_261103,c_261102,c_261098,c_261096,c_261095,c_261094,c_261093,c_261092,c_261091,c_261087,c_261085,c_261084,c_261083,c_261082,c_261081,c_261080,c_261141,c_261137,c_261079,c_261076,c_260852,c_260850,c_260820,c_260818,c_260817,c_260816,c_260815,c_260686,c_260376,c_260103,c_260101,c_260099,c_260092,c_260091,c_260078,c_260075,c_260074,c_260073,c_260071,c_260069,c_260068,c_260067,c_260066,c_260064,c_260062,c_260061,c_260060,c_260059,c_260058,c_260057,c_260053,c_260051,c_260050,c_260049,c_260048,c_260047,c_260046,c_260100,c_260090,c_260089,c_260039,c_259784,c_259782,c_259780,c_259776,c_259775,c_259758,c_259755,c_259754,c_259753,c_259751,c_259749,c_259748,c_259747,c_259746,c_259742,c_259740,c_259739,c_259738,c_259737,c_259736,c_259735,c_259731,c_259729,c_259728,c_259727,c_259725,c_259724,c_259781,c_259770,c_259769,c_259783,c_259785,c_259779,c_259778,c_259686,c_259685,c_259635,c_259632,c_259630,c_259629,c_259627,c_259600,c_259598,c_259591,c_259589,c_259497,c_259332,c_259210,c_259010,c_258750,c_258748,c_258746,c_258742,c_258741,c_258731,c_258730,c_258729,c_258728,c_258725,c_258724,c_258721,c_258720,c_258719,c_258717,c_258715,c_258714,c_258713,c_258712,c_258708,c_258706,c_258705,c_258704,c_258703,c_258702,c_258701,c_258697,c_258695,c_258694,c_258693,c_258691,c_258690,c_258747,c_258738,c_258736,c_258735,c_258749,c_258751,c_258745,c_258744,c_258609,c_258607,c_258605,c_258603,c_258602,c_258503,c_258501,c_258499,c_258498,c_258496,c_258447,c_258446,c_258445,c_258444,c_258443,c_258442,c_258441,c_258440,c_258404,c_258403,c_258402,c_258401,c_258400,c_258399,c_258398,c_258397,c_258281,c_258280,c_258279,c_258278,c_258277,c_258276,c_258275,c_258274,c_257744,c_257742,c_257740,c_257736,c_257735,c_257725,c_257724,c_257723,c_257722,c_257719,c_257718,c_257715,c_257714,c_257713,c_257711,c_257709,c_257708,c_257707,c_257706,c_257702,c_257700,c_257699,c_257698,c_257697,c_257696,c_257695,c_257687,c_257685,c_257741,c_257743,c_257745,c_257739,c_257738,c_257656,c_257655,c_257605,c_257602,c_257600,c_257599,c_257597,c_257570,c_257568,c_257555,c_257553,c_257330,c_257329,c_257275,c_257272,c_257270,c_257269,c_257267,c_257229,c_257228,c_257227,c_257225,c_257224,c_256510,c_256508,c_256507,c_256506,c_256502,c_256501,c_256491,c_256490,c_256489,c_256488,c_256485,c_256484,c_256481,c_256480,c_256479,c_256478,c_256477,c_256476,c_256475,c_256474,c_256473,c_256472,c_256469,c_256468,c_256467,c_256466,c_256465,c_256464,c_256463,c_256462,c_256461,c_256460,c_256459,c_256458,c_256456,c_256453,c_256452,c_256451,c_256496,c_256495,c_256505,c_256504,c_256209,c_256207,c_256206,c_256205,c_256201,c_256200,c_256190,c_256189,c_256188,c_256187,c_256184,c_256183,c_256180,c_256179,c_256178,c_256177,c_256176,c_256175,c_256174,c_256173,c_256172,c_256171,c_256168,c_256167,c_256166,c_256165,c_256164,c_256163,c_256162,c_256161,c_256160,c_256159,c_256158,c_256157,c_256155,c_256152,c_256151,c_256150,c_256195,c_256194,c_256204,c_256203,c_256126,c_256124,c_256117,c_256115,c_256069,c_256066,c_256063,c_256061,c_256060,c_256059,c_256057,c_256028,c_256026,c_255828,c_255826,c_255825,c_255824,c_255820,c_255819,c_255809,c_255808,c_255807,c_255806,c_255803,c_255802,c_255799,c_255798,c_255797,c_255796,c_255795,c_255794,c_255793,c_255792,c_255791,c_255790,c_255787,c_255786,c_255785,c_255784,c_255783,c_255782,c_255781,c_255780,c_255779,c_255778,c_255777,c_255776,c_255774,c_255771,c_255770,c_255769,c_255814,c_255813,c_255823,c_255822,c_255607,c_255583,c_255582,c_255568,c_255567,c_255548,c_255547,c_255603,c_255590,c_255589,c_255588,c_255586,c_255240,c_255238,c_255237,c_255236,c_255235,c_255246,c_255245,c_255244,c_255242,c_255134,c_255133,c_255132,c_255131,c_255130,c_255129,c_255128,c_255140,c_255139,c_255138,c_255136,c_254595,c_254594,c_254593,c_254580,c_254579,c_254578,c_253493,c_253492,c_241486,c_241481,c_268403,c_264080,c_264078,c_269298,c_269573,c_264077,c_264076,c_269169,c_264075,c_258502,c_264131,c_264130,c_264129,c_269297,c_269572,c_264128,c_264127,c_269168,c_264126,c_264125,c_258608,c_263680,c_263798,c_263725,c_269337,c_269637,c_253681,c_253680,c_269233,c_253679,c_253678,c_253677,c_253676,c_253675,c_253674,c_253673,c_255137,c_260821,c_268070,c_268071,c_268072,c_264081,c_259726,c_258692,c_257686,c_267021,c_264132,c_267543,c_268961,c_267338,c_267335,c_267333,c_267332,c_269406,c_267330,c_269002,c_267303,c_269427,c_267301,c_269023,c_264624,c_264623,c_264611,c_264610,c_264601,c_264600,c_264599,c_264598,c_264595,c_264594,c_264592,c_264591,c_264590,c_264586,c_264585,c_264584,c_264583,c_264577,c_264576,c_264575,c_264574,c_264573,c_264572,c_264568,c_264566,c_264564,c_264563,c_264562,c_268064,c_264622,c_264561,c_266021,c_264621,c_266169,c_264618,c_266505,c_266292,c_266062,c_267544,c_261492,c_261490,c_261478,c_261477,c_261468,c_261467,c_261466,c_261465,c_261462,c_261461,c_261459,c_261458,c_261457,c_261454,c_261453,c_261452,c_261451,c_261450,c_261445,c_261444,c_261443,c_261442,c_261441,c_261440,c_261439,c_261435,c_261433,c_261431,c_261430,c_261429,c_268067,c_261489,c_261428,c_266024,c_261488,c_266172,c_266391,c_269365,c_261485,c_261486,c_261386,c_261432,c_255243,c_250360,c_250357,c_268828,c_268815,c_268802,c_268789,c_268484,c_270610,c_270598,c_270607,c_270604,c_270601,c_270583,c_270586,c_270595,c_270592,c_270589,c_270440,c_270433,c_270428,c_270417,c_270416,c_270415,c_270414,c_270413,c_270404,c_270399,c_270398,c_270397,c_270370,c_270367,c_270364,c_270361,c_270358,c_270349,c_270346,c_270340,c_270080,c_270068,c_270077,c_270074,c_270071,c_270053,c_270056,c_270065,c_270062,c_270059,c_269854,c_269851,c_269848,c_269845,c_269842,c_269833,c_269830,c_269824,c_269808,c_269807,c_269806,c_269805,c_269804,c_269768,c_269738,c_269737,c_269736,c_269735,c_269734,c_269733,c_269732,c_269731,c_269730,c_269727,c_269726,c_269725,c_269723,c_269722,c_269721,c_269720,c_269719,c_269718,c_269717,c_269716,c_269715,c_269714,c_269713,c_269712,c_269711,c_269710,c_269692,c_269691,c_269684,c_269682,c_269681,c_269678,c_269677,c_269676,c_269675,c_269674,c_269673,c_269672,c_269671,c_269670,c_269669,c_269668,c_269667,c_269666,c_269665,c_269664,c_269662,c_269693,c_269660,c_269659,c_269658,c_269657,c_269656,c_269655,c_269654,c_269653,c_269652,c_269651,c_269650,c_269649,c_269648,c_269647,c_269646,c_269645,c_269644,c_269643,c_269642,c_269641,c_269640,c_269639,c_269638,c_269636,c_269635,c_269634,c_269633,c_269632,c_269631,c_269630,c_269629,c_269628,c_269627,c_269626,c_269625,c_269624,c_269623,c_269622,c_269621,c_269620,c_269619,c_269618,c_269617,c_269616,c_269615,c_269614,c_269613,c_269612,c_269611,c_269610,c_269609,c_269608,c_269607,c_269606,c_269605,c_269604,c_269603,c_269602,c_269601,c_269600,c_269599,c_269598,c_269597,c_269596,c_269595,c_269594,c_269593,c_269592,c_269591,c_269590,c_269589,c_269588,c_269587,c_269586,c_269585,c_269584,c_269583,c_269582,c_269581,c_269580,c_269579,c_269578,c_269577,c_269571,c_269570,c_269568,c_269567,c_269564,c_269563,c_269562,c_269561,c_269560,c_269559,c_269558,c_269551,c_269550,c_269549,c_269548,c_269547,c_269546,c_269539,c_269538,c_269537,c_269536,c_269535,c_269534,c_269527,c_269526,c_269525,c_269524,c_269523,c_269522,c_269515,c_269514,c_269513,c_269512,c_269511,c_269510,c_269509,c_269508,c_269506,c_269505,c_269504,c_269503,c_269502,c_269501,c_269500,c_269499,c_269498,c_269497,c_269496,c_269495,c_269494,c_269493,c_269490,c_269489,c_269488,c_269491,c_269492,c_269486,c_269485,c_269484,c_269487,c_269483,c_269482,c_269481,c_269480,c_269479,c_269478,c_269477,c_269476,c_269475,c_269474,c_269473,c_269472,c_269471,c_269470,c_269469,c_269468,c_269467,c_269466,c_269465,c_269464,c_269463,c_269462,c_269460,c_269459,c_269458,c_269457,c_269456,c_269455,c_269454,c_269452,c_269451,c_269450,c_269449,c_269448,c_269447,c_269446,c_269444,c_269443,c_269442,c_269441,c_269440,c_269439,c_269438,c_269436,c_269435,c_269434,c_269433,c_269432,c_269431,c_269430,c_269429,c_269428,c_269426,c_269425,c_269424,c_269423,c_269422,c_269421,c_269420,c_269419,c_269418,c_269417,c_269416,c_269415,c_269414,c_269413,c_269412,c_269411,c_269410,c_269409,c_269408,c_269407,c_269405,c_269404,c_269403,c_269402,c_269401,c_269400,c_269399,c_269398,c_269397,c_269396,c_269395,c_269394,c_269393,c_269392,c_269391,c_269390,c_269389,c_269388,c_269387,c_269386,c_269385,c_269384,c_269383,c_269382,c_269381,c_269380,c_269379,c_269378,c_269377,c_269376,c_269375,c_269374,c_269373,c_269372,c_269371,c_269370,c_269369,c_269368,c_269367,c_269366,c_269364,c_269363,c_269362,c_269360,c_269358,c_269356,c_269355,c_269353,c_269351,c_269349,c_269348,c_269347,c_269346,c_269345,c_269344,c_269343,c_269342,c_269341,c_269340,c_269339,c_269694,c_269336,c_269335,c_269334,c_269333,c_269332,c_269331,c_269330,c_269329,c_269328,c_269327,c_269326,c_269325,c_269324,c_269323,c_269322,c_269321,c_269320,c_269319,c_269318,c_269317,c_269316,c_269315,c_269314,c_269313,c_269312,c_269311,c_269310,c_269309,c_269308,c_269307,c_269306,c_269305,c_269304,c_269303,c_269302,c_269296,c_269295,c_269293,c_269292,c_269289,c_269288,c_269287,c_269286,c_269280,c_269278,c_269277,c_269274,c_269273,c_269272,c_269271,c_269270,c_269269,c_269268,c_269267,c_269266,c_269265,c_269264,c_269263,c_269262,c_269261,c_269260,c_269258,c_269690,c_269256,c_269255,c_269254,c_269253,c_269252,c_269251,c_269250,c_269249,c_269248,c_269247,c_269246,c_269245,c_269244,c_269243,c_269242,c_269241,c_269240,c_269239,c_269238,c_269237,c_269236,c_269235,c_269234,c_269232,c_269231,c_269230,c_269229,c_269228,c_269227,c_269226,c_269225,c_269224,c_269223,c_269222,c_269221,c_269220,c_269219,c_269218,c_269217,c_269216,c_269215,c_269214,c_269213,c_269212,c_269211,c_269210,c_269209,c_269208,c_269207,c_269206,c_269205,c_269204,c_269203,c_269202,c_269201,c_269200,c_269199,c_269198,c_269197,c_269196,c_269195,c_269194,c_269193,c_269192,c_269191,c_269190,c_269189,c_269188,c_269187,c_269186,c_269185,c_269184,c_269183,c_269182,c_269181,c_269180,c_269179,c_269178,c_269177,c_269176,c_269175,c_269174,c_269173,c_269167,c_269166,c_269164,c_269163,c_269160,c_269159,c_269158,c_269157,c_269156,c_269155,c_269154,c_269147,c_269146,c_269145,c_269144,c_269143,c_269142,c_269135,c_269134,c_269133,c_269132,c_269131,c_269130,c_269123,c_269122,c_269121,c_269120,c_269119,c_269118,c_269111,c_269110,c_269109,c_269108,c_269107,c_269106,c_269105,c_269104,c_269102,c_269101,c_269100,c_269099,c_269098,c_269097,c_269096,c_269095,c_269094,c_269093,c_269092,c_269091,c_269090,c_269089,c_269086,c_269085,c_269084,c_269087,c_269088,c_269082,c_269081,c_269080,c_269083,c_269079,c_269078,c_269077,c_269076,c_269075,c_269074,c_269073,c_269072,c_269071,c_269070,c_269069,c_269068,c_269067,c_269066,c_269065,c_269064,c_269063,c_269062,c_269061,c_269060,c_269059,c_269058,c_269056,c_269055,c_269054,c_269053,c_269052,c_269051,c_269050,c_269048,c_269047,c_269046,c_269045,c_269044,c_269043,c_269042,c_269040,c_269039,c_269038,c_269037,c_269036,c_269035,c_269034,c_269032,c_269031,c_269030,c_269029,c_269028,c_269027,c_269026,c_269025,c_269024,c_269022,c_269021,c_269020,c_269019,c_269018,c_269017,c_269016,c_269015,c_269014,c_269013,c_269012,c_269011,c_269010,c_269009,c_269008,c_269007,c_269006,c_269005,c_269004,c_269003,c_269001,c_269000,c_268999,c_268998,c_268997,c_268996,c_268995,c_268994,c_268993,c_268992,c_268991,c_268990,c_268989,c_268988,c_268987,c_268986,c_268985,c_268984,c_268983,c_268982,c_268981,c_268980,c_268979,c_268978,c_268977,c_268976,c_268975,c_268974,c_268973,c_268972,c_268971,c_268970,c_268969,c_268968,c_268967,c_268966,c_268965,c_268964,c_268963,c_268962,c_268960,c_268959,c_268958,c_268956,c_268954,c_268952,c_268951,c_268949,c_268947,c_268945,c_268944,c_268458,c_268471,c_268445,c_268342,c_265527,c_265526,c_265525,c_265523,c_265522,c_265517,c_265511,c_265507,c_265505,c_265503,c_265457,c_265456,c_265455,c_265453,c_265452,c_265448,c_265447,c_265442,c_265441,c_265438,c_265437,c_265435,c_265434,c_265433,c_265296,c_265295,c_265294,c_265292,c_265291,c_265288,c_265287,c_265286,c_265282,c_265281,c_265280,c_265278,c_265277,c_265276,c_265274,c_265273,c_265272,c_265271,c_265111,c_265110,c_265109,c_265107,c_265106,c_265104,c_265103,c_265102,c_265101,c_265097,c_265096,c_265095,c_265098,c_265093,c_265092,c_265091,c_265094,c_265089,c_265088,c_265087,c_265086,c_265085,c_268885,c_268884,c_268882,c_268880,c_268878,c_268877,c_268876,c_268875,c_268874,c_268873,c_268329,c_268316,c_268303,c_268035,c_264947,c_264946,c_264945,c_264943,c_264942,c_264941,c_264940,c_264939,c_264938,c_264937,c_264933,c_264932,c_264931,c_264934,c_264935,c_264929,c_264928,c_264927,c_264930,c_264926,c_264925,c_264924,c_264923,c_264922,c_264921,c_264920,c_268778,c_268776,c_268022,c_268002,c_267989,c_267869,c_268438,c_267977,c_267974,c_267973,c_267851,c_267850,c_267849,c_267739,c_267736,c_267735,c_267559,c_267555,c_267554,c_267468,c_267467,c_267466,c_267347,c_267346,c_267345,c_266747,c_266746,c_266745,c_266744,c_266743,c_266742,c_266741,c_266740,c_266739,c_266737,c_266738,c_266734,c_266733,c_266732,c_266731,c_266729,c_266728,c_266727,c_266726,c_266725,c_266724,c_266723,c_266722,c_266721,c_266696,c_266677,c_266674,c_266673,c_266672,c_266671,c_266670,c_266669,c_266668,c_266666,c_266667,c_266664,c_265965,c_265964,c_265963,c_265962,c_265961,c_265960,c_265959,c_265958,c_265957,c_265956,c_265954,c_265955,c_266914,c_266913,c_266924,c_266923,c_266922,c_266921,c_266920,c_266919,c_266918,c_266917,c_266916,c_266915,c_266473,c_266416,c_266415,c_266414,c_266413,c_266412,c_266411,c_266410,c_266409,c_266408,c_266407,c_266406,c_266405,c_266418,c_266417,c_266255,c_266202,c_266197,c_266196,c_266195,c_266194,c_266193,c_266192,c_266191,c_266190,c_266189,c_266188,c_266187,c_266186,c_266185,c_266200,c_266201,c_265879,c_265858,c_265857,c_265856,c_265854,c_265853,c_265852,c_265851,c_265850,c_265849,c_265848,c_265847,c_265846,c_265845,c_265844,c_265842,c_265843,c_265860,c_265859,c_265855,c_265779,c_265778,c_265777,c_265776,c_265775,c_265774,c_265773,c_265772,c_265771,c_265770,c_265769,c_265768,c_265765,c_265764,c_264437,c_264416,c_264413,c_264412,c_264411,c_264410,c_264409,c_264408,c_264407,c_264406,c_264405,c_264404,c_264402,c_264282,c_264281,c_264280,c_264279,c_264278,c_264277,c_264276,c_264275,c_264274,c_264273,c_264272,c_264271,c_264270,c_268433,c_268430,c_268427,c_268424,c_268417,c_268416,c_268415,c_268414,c_268413,c_268407,c_266141,c_241359,c_241242,c_241127,c_264252,c_264248,c_264219,c_264218,c_264217,c_264215,c_264214,c_264213,c_264212,c_264211,c_264210,c_264209,c_264208,c_264207,c_264206,c_264205,c_264204,c_264203,c_264202,c_264221,c_264220,c_264216,c_240991,c_265608,c_265604,c_265600,c_265596,c_265592,c_265588,c_265584,c_265580,c_265576,c_265572,c_265568,c_265569,c_265570,c_265571,c_265567,c_265566,c_265565,c_265564,c_265563,c_265562,c_265546,c_264058,c_264057,c_264048,c_264047,c_264038,c_264037,c_264022,c_264021,c_263589,c_263588,c_263579,c_263578,c_263347,c_263346,c_263344,c_263343,c_263330,c_263329,c_263328,c_263331,c_263332,c_263326,c_263325,c_263324,c_263327,c_263323,c_263322,c_263321,c_263320,c_263319,c_263318,c_263317,c_263301,c_263300,c_263287,c_263286,c_263285,c_263284,c_263283,c_263281,c_263113,c_263316,c_263562,c_263557,c_263556,c_263555,c_263314,c_263545,c_263541,c_263540,c_263539,c_263538,c_263312,c_263528,c_263525,c_263524,c_263523,c_263522,c_263521,c_263310,c_263488,c_263486,c_263485,c_263484,c_263483,c_263482,c_263481,c_263308,c_263465,c_263464,c_263463,c_263462,c_263461,c_263460,c_263459,c_263458,c_263268,c_263267,c_263266,c_263265,c_263263,c_263261,c_263259,c_263257,c_263135,c_263134,c_263133,c_263131,c_263130,c_263129,c_263128,c_263137,c_263136,c_263132,c_262893,c_262891,c_262890,c_262889,c_262888,c_262887,c_262886,c_262885,c_262884,c_262883,c_262882,c_257703,c_257712,c_257701,c_257710,c_262858,c_262976,c_262974,c_262973,c_262972,c_262971,c_262970,c_262969,c_262968,c_262967,c_262966,c_262965,c_258709,c_258718,c_258707,c_258716,c_262941,c_263100,c_263087,c_263074,c_261588,c_262554,c_262556,c_262851,c_262934,c_267166,c_267163,c_267162,c_267161,c_267119,c_261497,c_262836,c_262834,c_262833,c_262830,c_262829,c_262821,c_262795,c_262793,c_262792,c_262791,c_262790,c_262789,c_262788,c_262780,c_262731,c_262729,c_262728,c_262727,c_262726,c_262725,c_262724,c_262723,c_262722,c_262716,c_262678,c_262676,c_262675,c_262674,c_262673,c_262672,c_262671,c_262670,c_262669,c_262668,c_262667,c_262663,c_262605,c_260973,c_260971,c_260970,c_260969,c_260968,c_260967,c_260966,c_260965,c_260964,c_260963,c_260962,c_260961,c_260960,c_260958,c_260891,c_260890,c_260887,c_260886,c_260879,c_260878,c_260865,c_260864,c_260863,c_260862,c_260861,c_260859,c_260764,c_260763,c_260762,c_260728,c_260727,c_260724,c_260725,c_260726,c_259577,c_259576,c_259575,c_259574,c_259540,c_259539,c_259538,c_259533,c_259534,c_259535,c_259536,c_259537,c_259532,c_259498,c_259443,c_259442,c_259441,c_259440,c_259375,c_259374,c_259373,c_259353,c_259351,c_259350,c_259368,c_259369,c_259370,c_259371,c_259372,c_259367,c_259333,c_259312,c_259311,c_259310,c_259309,c_259253,c_259252,c_259251,c_259231,c_259229,c_259228,c_259246,c_259247,c_259248,c_259249,c_259250,c_259245,c_259211,c_260563,c_260562,c_260561,c_260559,c_260558,c_260557,c_260556,c_260565,c_260564,c_260560,c_260412,c_260410,c_260409,c_260408,c_260407,c_260406,c_260405,c_260404,c_260403,c_260402,c_260401,c_259743,c_259752,c_259741,c_259750,c_260377,c_260779,c_260778,c_260777,c_260776,c_260775,c_260774,c_260773,c_260772,c_255325,c_255322,c_255319,c_255317,c_255316,c_255315,c_255313,c_255285,c_255283,c_259153,c_259152,c_259151,c_259150,c_259053,c_259052,c_259051,c_259031,c_259029,c_259028,c_259046,c_259047,c_259048,c_259049,c_259050,c_259045,c_259011,c_258258,c_258528,c_258257,c_258256,c_258247,c_258246,c_258245,c_258219,c_258212,c_258211,c_258209,c_258208,c_258207,c_258206,c_258197,c_258196,c_258195,c_258177,c_258170,c_258169,c_258167,c_258166,c_258165,c_258164,c_260038,c_258155,c_258154,c_258153,c_258101,c_258094,c_258093,c_258091,c_258090,c_258089,c_258088,c_258079,c_258078,c_258077,c_257540,c_257533,c_257532,c_257530,c_257529,c_257528,c_257527,c_257506,c_257505,c_257504,c_257478,c_257471,c_257470,c_257468,c_257467,c_257466,c_257465,c_258551,c_258548,c_258545,c_258542,c_258539,c_258536,c_258533,c_258531,c_258530,c_258527,c_258526,c_258524,c_258523,c_258522,c_258521,c_258520,c_258519,c_258518,c_258066,c_258065,c_258061,c_258058,c_258057,c_258056,c_258045,c_258044,c_258043,c_258042,c_258041,c_258021,c_258020,c_258019,c_258017,c_258016,c_258015,c_258014,c_258023,c_258022,c_258018,c_257442,c_257441,c_257440,c_257423,c_257372,c_257369,c_257366,c_257363,c_257360,c_257358,c_257357,c_257354,c_257353,c_257352,c_257351,c_253491,c_257349,c_257348,c_257342,c_257341,c_257337,c_257207,c_257206,c_257208,c_257205,c_257175,c_257174,c_257173,c_257094,c_257093,c_257084,c_257080,c_257071,c_257070,c_257069,c_257067,c_257066,c_257065,c_257064,c_257073,c_257072,c_257068,c_255482,c_255481,c_255480,c_255467,c_255466,c_255465,c_255464,c_255463,c_255351,c_255350,c_255349,c_255336,c_255335,c_255334,c_255333,c_255332,c_255045,c_255044,c_255043,c_255030,c_255029,c_255028,c_255027,c_255026,c_254919,c_254903,c_254895,c_254894,c_254880,c_254879,c_254862,c_254861,c_254860,c_254859,c_254915,c_254899,c_254897,c_254896,c_254913,c_254912,c_254911,c_254910,c_254909,c_254908,c_254907,c_254906,c_254905,c_254904,c_254770,c_254769,c_254766,c_254623,c_254620,c_254619,c_254618,c_254617,c_254616,c_254615,c_254614,c_254626,c_254625,c_254624,c_254621,c_254566,c_254565,c_254567,c_254537,c_254536,c_254532,c_254529,c_254528,c_254527,c_254484,c_254483,c_254482,c_254467,c_254461,c_254460,c_254459,c_254457,c_254456,c_254455,c_254454,c_254463,c_254462,c_254458,c_253618,c_253616,c_253615,c_253614,c_253613,c_253612,c_253611,c_253610,c_253609,c_253608,c_253607,c_253583,c_17451,c_268092,c_268091,c_268090,c_268089,c_268088,c_268087,c_268086,c_268085,c_268084,c_268083,c_268082,c_268081,c_268080,c_268094,c_268093,c_254334,c_254333,c_254332,c_254331,c_254330,c_254329,c_254328,c_254327,c_254326,c_254325,c_254324,c_254323,c_254322,c_254337,c_254338,c_254336,c_254335,c_17169,c_254224,c_254223,c_254222,c_254221,c_254220,c_254219,c_254218,c_254217,c_254216,c_254215,c_254214,c_254213,c_254212,c_254226,c_254225,c_254111,c_254110,c_254120,c_254119,c_254118,c_254117,c_254116,c_254115,c_254114,c_254113,c_254112,c_254025,c_254024,c_254023,c_254022,c_254021,c_254020,c_254019,c_254037,c_254038,c_254039,c_254040,c_254041,c_254036,c_243809,c_253577,c_243799,c_243789,c_243756,c_243644,c_253977,c_253971,c_253965,c_253959,c_253953,c_241480,c_252534,c_253761,c_253760,c_253759,c_253758,c_253757,c_253756,c_253755,c_253773,c_253774,c_253775,c_253776,c_253777,c_253772,c_253771,c_253770,c_253769,c_253768,c_253767,c_253766,c_253765,c_253764,c_253763,c_253762,c_253552,c_253551,c_253550,c_253548,c_253547,c_253546,c_253544,c_253543,c_253542,c_253541,c_253540,c_253539,c_253531,c_253530,c_253529,c_253528,c_253527,c_253526,c_253525,c_253524,c_253523,c_253522,c_253521,c_253520,c_253519,c_253518,c_253515,c_253517,c_64051,c_253509,c_253472,c_253471,c_253470,c_253468,c_253446,c_252767,c_252765,c_252764,c_252763,c_252762,c_252761,c_252760,c_252759,c_252758,c_252757,c_252756,c_252755,c_252754,c_252753,c_252752,c_252751,c_252750,c_252749,c_252748,c_252747,c_252746,c_252745,c_252744,c_252743,c_252742,c_252741,c_252740,c_252739,c_252738,c_252737,c_252736,c_252735,c_252734,c_252733,c_252732,c_252731,c_252730,c_252729,c_252728,c_252766,c_252726,c_252725,c_252724,c_252723,c_252722,c_252721,c_252720,c_252719,c_252718,c_252717,c_252716,c_252715,c_252714,c_252713,c_252712,c_252711,c_252710,c_252709,c_252708,c_252707,c_252706,c_252705,c_252704,c_252703,c_252702,c_252701,c_252700,c_252699,c_252698,c_252697,c_252696,c_252695,c_252694,c_252693,c_252692,c_252691,c_252690,c_252689,c_252688,c_252687,c_252686,c_252685,c_252684,c_252683,c_252682,c_252681,c_252680,c_252679,c_252678,c_252677,c_252676,c_252675,c_252674,c_252671,c_252670,c_252669,c_252672,c_252673,c_252667,c_252666,c_252665,c_252668,c_252664,c_252663,c_252662,c_252661,c_252660,c_252659,c_252658,c_252657,c_252656,c_252655,c_252654,c_252653,c_252652,c_252651,c_252650,c_252649,c_252648,c_252647,c_252646,c_252645,c_252644,c_252643,c_252642,c_252641,c_252640,c_252639,c_252638,c_252637,c_252636,c_252635,c_252634,c_252633,c_252632,c_252631,c_252630,c_252629,c_252628,c_252627,c_252626,c_252625,c_252624,c_252623,c_252622,c_252621,c_252620,c_252619,c_252618,c_252617,c_252616,c_252615,c_252614,c_252613,c_252612,c_252611,c_252610,c_252609,c_252608,c_252607,c_252606,c_252605,c_252604,c_252603,c_252602,c_252601,c_252600,c_252599,c_252598,c_252597,c_252596,c_252595,c_252594,c_252593,c_252592,c_252591,c_252590,c_252589,c_252588,c_252587,c_252586,c_252585,c_252584,c_252583,c_252582,c_252581,c_252580,c_252579,c_252578,c_252577,c_252576,c_252575,c_252574,c_252573,c_252572,c_252571,c_252570,c_252569,c_252568,c_252567,c_252566,c_252565,c_252564,c_252563,c_252562,c_252561,c_252560,c_252559,c_252558,c_252557,c_252556,c_252555,c_252554,c_252553,c_252552,c_252551,c_252550,c_252549,c_252548,c_252547,c_252546,c_252545,c_252544,c_252543,c_252542,c_252541,c_252540,c_252539,c_252538,c_252537,c_252536,c_252535,c_252516,c_252498,c_252497,c_252496,c_252495,c_252494,c_252493,c_252492,c_252491,c_252483,c_252441,c_252440,c_252439,c_252438,c_252437,c_252436,c_252435,c_252373,c_252372,c_252371,c_252370,c_252369,c_252368,c_252367,c_252366,c_252365,c_252364,c_252363,c_252362,c_252355,c_252343,c_252333,c_252254,c_252251,c_252250,c_252249,c_252222,c_252215,c_252203,c_252200,c_252197,c_252194,c_252193,c_252192,c_252174,c_252164,c_252152,c_252128,c_252105,c_252102,c_252101,c_252100,c_252073,c_252066,c_252054,c_252051,c_252048,c_252043,c_252042,c_252041,c_252024,c_252023,c_252005,c_251975,c_251972,c_251969,c_251968,c_251967,c_251966,c_251928,c_251914,c_251911,c_251908,c_251903,c_251902,c_251901,c_251884,c_251883,c_251873,c_251861,c_251858,c_251855,c_251854,c_251853,c_251852,c_251818,c_251793,c_251790,c_251787,c_251786,c_251785,c_251784,c_251748,c_251736,c_251733,c_251730,c_251729,c_251728,c_251727,c_251699,c_251689,c_251637,c_251634,c_251633,c_251632,c_251600,c_251588,c_251573,c_251517,c_251514,c_251513,c_251512,c_251480,c_251468,c_251453,c_251374,c_251371,c_251370,c_251369,c_251337,c_251325,c_251302,c_251283,c_251280,c_251246,c_251243,c_251242,c_251241,c_251209,c_251197,c_251178,c_251160,c_251158,c_251122,c_251119,c_251118,c_251117,c_251085,c_251073,c_251058,c_251009,c_251006,c_251005,c_251004,c_250977,c_250970,c_250960,c_250882,c_250879,c_250878,c_250877,c_250850,c_250843,c_250833,c_250770,c_250767,c_250766,c_250765,c_250738,c_250731,c_250721,c_250674,c_250671,c_250670,c_250669,c_250642,c_250635,c_250621,c_250602,c_250599,c_250570,c_250567,c_250566,c_250565,c_250538,c_250531,c_250281,c_250270,c_250269,c_250144,c_250143,c_250142,c_249952,c_249946,c_249945,c_249944,c_249943,c_249942,c_249941,c_249940,c_249939,c_249938,c_249937,c_249936,c_249935,c_249930,c_249929,c_249928,c_249927,c_249926,c_249925,c_249924,c_249923,c_249922,c_249921,c_249920,c_249919,c_249918,c_249917,c_249916,c_249915,c_249914,c_249913,c_249912,c_249911,c_249910,c_249896,c_249877,c_249876,c_250355,c_249875,c_249874,c_249873,c_249872,c_249871,c_249557,c_249556,c_249555,c_249546,c_249545,c_249551,c_249552,c_249553,c_249554,c_249550,c_249549,c_249548,c_249547,c_249422,c_249421,c_249415,c_249414,c_249413,c_249412,c_249411,c_249410,c_249409,c_249408,c_249407,c_249406,c_249405,c_249404,c_249399,c_249398,c_249397,c_249396,c_249395,c_249394,c_249393,c_249392,c_249391,c_249390,c_249389,c_249388,c_249387,c_249386,c_249385,c_249384,c_249383,c_249382,c_249363,c_249362,c_249135,c_250356,c_249116,c_249115,c_249114,c_249113,c_249112,c_248821,c_248820,c_248819,c_248675,c_248669,c_248668,c_248667,c_248666,c_248665,c_248664,c_248663,c_248662,c_248661,c_248660,c_248659,c_248658,c_248653,c_248652,c_248651,c_248650,c_248649,c_248648,c_248647,c_248646,c_248645,c_248644,c_248643,c_248642,c_248641,c_248640,c_248639,c_248638,c_248637,c_248636,c_248620,c_248603,c_248602,c_248601,c_248600,c_248599,c_248598,c_248597,c_248458,c_248441,c_248440,c_248439,c_248438,c_248437,c_248436,c_248435,c_248418,c_248417,c_248416,c_248415,c_248414,c_248413,c_248412,c_248411,c_248410,c_248409,c_248408,c_248407,c_249860,c_249848,c_241695,c_249109,c_249091,c_249084,c_249077,c_249070,c_250517,c_248419,c_250499,c_250497,c_249416,c_250328,c_248670,c_250317,c_249947,c_249057,c_249023,c_249016,c_248393,c_248386,c_248379,c_248370,c_248369,c_248368,c_248359,c_248358,c_248357,c_248348,c_248347,c_248346,c_248337,c_248336,c_248335,c_248326,c_248325,c_248324,c_248130,c_248129,c_248045,c_248044,c_248043,c_248036,c_248035,c_248034,c_248033,c_248030,c_248029,c_248028,c_248027,c_248026,c_248013,c_248012,c_248011,c_248002,c_248001,c_248000,c_247994,c_247986,c_247985,c_247923,c_247922,c_247921,c_247914,c_247913,c_247912,c_247911,c_247908,c_247907,c_247906,c_247905,c_247904,c_247891,c_247890,c_247889,c_247673,c_247583,c_247572,c_247571,c_247570,c_247569,c_247568,c_247567,c_247540,c_247539,c_247538,c_247464,c_247453,c_247452,c_247451,c_247450,c_247449,c_247448,c_247447,c_247446,c_247445,c_247444,c_247443,c_247428,c_247427,c_247426,c_247402,c_247401,c_247400,c_247364,c_247353,c_247352,c_247351,c_247350,c_247349,c_247348,c_247328,c_247327,c_247326,c_247029,c_247018,c_247017,c_247016,c_247015,c_247014,c_247013,c_247012,c_247011,c_247010,c_247009,c_247008,c_246979,c_246978,c_246977,c_246963,c_246962,c_246897,c_246896,c_246895,c_246888,c_246887,c_246886,c_246885,c_246882,c_246881,c_246880,c_246879,c_246878,c_246848,c_246847,c_246846,c_246806,c_246795,c_246794,c_246793,c_246792,c_246791,c_246790,c_246789,c_246788,c_246787,c_246786,c_246785,c_246772,c_246771,c_246770,c_247679,c_246756,c_246755,c_246627,c_246626,c_246625,c_246618,c_246617,c_246616,c_246615,c_246612,c_246611,c_246610,c_246609,c_246608,c_246597,c_246596,c_246595,c_247685,c_246551,c_246546,c_246545,c_246544,c_246543,c_246542,c_246541,c_246465,c_246464,c_246463,c_247883,c_247877,c_247871,c_247865,c_247697,c_247691,c_246173,c_246168,c_246167,c_246166,c_246165,c_246164,c_246163,c_246162,c_246161,c_246160,c_246159,c_246158,c_246145,c_246144,c_246143,c_246130,c_246129,c_246128,c_246118,c_243701,c_243722,c_243741,c_244163,c_244194,c_246108,c_246088,c_246087,c_246086,c_246004,c_245999,c_245998,c_245997,c_245996,c_245995,c_245994,c_245993,c_245992,c_245991,c_245990,c_245989,c_245975,c_245974,c_245973,c_245965,c_245964,c_245837,c_245836,c_245835,c_245828,c_245827,c_245826,c_245825,c_245822,c_245821,c_245820,c_245819,c_245818,c_245807,c_245806,c_245805,c_245738,c_245733,c_245732,c_245731,c_245730,c_245729,c_245728,c_245727,c_245726,c_245725,c_245724,c_245723,c_245710,c_245709,c_245708,c_245524,c_245523,c_245430,c_245429,c_245428,c_245421,c_245420,c_245419,c_245418,c_245415,c_245414,c_245413,c_245412,c_245411,c_245402,c_245401,c_245400,c_245353,c_245352,c_245341,c_245336,c_245328,c_245327,c_245326,c_245325,c_245324,c_245260,c_245259,c_245258,c_245257,c_245256,c_245255,c_245250,c_245249,c_245248,c_245247,c_245246,c_245245,c_245218,c_245217,c_245216,c_245215,c_245214,c_245213,c_245212,c_245188,c_245187,c_245186,c_245185,c_245184,c_245183,c_245182,c_245181,c_245162,c_245158,c_245152,c_245146,c_245145,c_245136,c_245135,c_245134,c_245125,c_245124,c_245123,c_245095,c_245094,c_33896,c_245080,c_245070,c_245069,c_245068,c_245067,c_245066,c_245026,c_245025,c_245024,c_245023,c_245022,c_245021,c_245016,c_245015,c_245014,c_245013,c_245012,c_245011,c_244900,c_244899,c_244898,c_244897,c_244896,c_244895,c_244894,c_244870,c_244869,c_244868,c_244867,c_244866,c_244865,c_244864,c_244863,c_244855,c_244854,c_244846,c_244845,c_244834,c_244833,c_244832,c_244823,c_244822,c_244821,c_244812,c_244811,c_244810,c_244801,c_244800,c_244799,c_244790,c_244789,c_244788,c_244695,c_244694,c_244693,c_244678,c_244677,c_244676,c_244648,c_244647,c_244646,c_244628,c_244627,c_244626,c_244779,c_244778,c_244777,c_244768,c_244767,c_244766,c_244758,c_244757,c_244618,c_244617,c_244609,c_244608,c_244600,c_244599,c_244592,c_244573,c_244530,c_244529,c_244527,c_244526,c_244525,c_244524,c_244490,c_244489,c_244487,c_244486,c_244485,c_244484,c_244422,c_244421,c_244420,c_244419,c_244418,c_244417,c_244416,c_244410,c_244404,c_244403,c_244308,c_244307,c_244306,c_244305,c_244304,c_244303,c_244302,c_244296,c_244290,c_244289,c_244231,c_244230,c_244229,c_244215,c_244214,c_244213,c_244195,c_244193,c_244192,c_244164,c_244162,c_244161,c_244280,c_244279,c_244278,c_244269,c_244268,c_244267,c_244258,c_244257,c_244256,c_244109,c_244108,c_244107,c_244098,c_244097,c_244096,c_244049,c_244046,c_244045,c_244039,c_244033,c_244032,c_244005,c_244002,c_244001,c_243995,c_243989,c_243988,c_243943,c_243936,c_243935,c_243934,c_243933,c_243932,c_243931,c_243930,c_243929,c_243928,c_243927,c_243900,c_243898,c_243897,c_243896,c_243831,c_243819,c_243742,c_243740,c_243739,c_243723,c_243721,c_243720,c_243702,c_243700,c_243699,c_243693,c_243690,c_243689,c_243688,c_243687,c_243686,c_243685,c_243862,c_243860,c_243859,c_243858,c_243636,c_243624,c_243612,c_243600,c_243396,c_243395,c_243392,c_243372,c_243371,c_243336,c_243335,c_243334,c_243333,c_243332,c_243331,c_243330,c_243329,c_243328,c_243327,c_243326,c_243048,c_243039,c_243038,c_243033,c_243032,c_243031,c_243674,c_243672,c_243671,c_243670,c_243588,c_243576,c_243564,c_242915,c_242903,c_242891,c_242829,c_242824,c_242823,c_242830,c_242828,c_242827,c_242826,c_242825,c_242775,c_242770,c_242769,c_242776,c_242774,c_242773,c_242772,c_242771,c_242651,c_242650,c_242649,c_242648,c_242638,c_242637,c_242647,c_242646,c_242645,c_242639,c_242636,c_242635,c_242634,c_242633,c_242632,c_242520,c_242517,c_242506,c_242516,c_242515,c_242514,c_242513,c_242512,c_242511,c_242510,c_242509,c_242508,c_242507,c_242505,c_242504,c_242503,c_242502,c_242501,c_242500,c_242395,c_242393,c_242392,c_242391,c_242381,c_242380,c_242390,c_242389,c_242388,c_242385,c_242384,c_242383,c_242382,c_242379,c_242378,c_242377,c_242376,c_242260,c_242257,c_242245,c_242255,c_242254,c_242253,c_242252,c_242251,c_242250,c_242249,c_242248,c_242247,c_242246,c_242244,c_242243,c_242242,c_242241,c_242240,c_242187,c_242183,c_242176,c_242174,c_242173,c_242060,c_242057,c_242045,c_242055,c_242054,c_242053,c_242052,c_242051,c_242050,c_242049,c_242048,c_242047,c_242046,c_242044,c_242043,c_242042,c_242005,c_242001,c_241994,c_241993,c_241992,c_241904,c_241900,c_241893,c_241898,c_241897,c_241896,c_241895,c_241894,c_242949,c_242948,c_242947,c_242946,c_242942,c_242941,c_242940,c_242939,c_242938,c_242937,c_242936,c_242935,c_242934,c_242933,c_241846,c_241842,c_241835,c_241840,c_241839,c_241838,c_241837,c_241836,c_241784,c_241782,c_241781,c_241780,c_241773,c_241772,c_241775,c_241722,c_241720,c_241719,c_241718,c_241711,c_241710,c_241714,c_241713,c_241650,c_241648,c_241647,c_241646,c_241639,c_241638,c_241643,c_241528,c_241522,c_241516,c_241510,c_241504,c_241498,c_241492,c_241479,c_241478,c_241477,c_241476,c_241475,c_241474,c_241473,c_241472,c_241471,c_241470,c_241363,c_241355,c_241354,c_241353,c_241352,c_241351,c_241350,c_241349,c_241348,c_241347,c_241346,c_241345,c_241344,c_241343,c_241342,c_241341,c_241340,c_241339,c_241338,c_241246,c_241241,c_241240,c_241239,c_241238,c_241237,c_241236,c_241235,c_241234,c_241233,c_241232,c_241231,c_241230,c_241229,c_241228,c_241138,c_241131,c_241124,c_241123,c_241122,c_241121,c_241120,c_241119,c_241118,c_241117,c_241116,c_241584,c_241115,c_241114,c_241113,c_241112,c_241111,c_241110,c_241596,c_241594,c_241593,c_241592,c_241585,c_241590,c_240800,c_240798,c_240797,c_240796,c_240980,c_240795,c_240745,c_240743,c_240742,c_240741,c_240981,c_240746,c_240744,c_240740,c_240739,c_240685,c_240683,c_240682,c_240681,c_240982,c_240686,c_240684,c_240680,c_240679,c_240635,c_240633,c_240632,c_240631,c_240983,c_240636,c_240634,c_240630,c_240629,c_240583,c_240581,c_240580,c_240579,c_240984,c_240584,c_240582,c_240578,c_240577,c_240514,c_240512,c_240511,c_240510,c_240985,c_240515,c_240513,c_240509,c_240508,c_240429,c_240428,c_240427,c_240426,c_240425,c_240424,c_240423,c_240979,c_240421,c_240420,c_240419,c_240418,c_240417,c_240416,c_240415,c_240422,c_240413,c_240412,c_240411,c_240410,c_240409,c_240408,c_240407,c_240406,c_240405,c_240404,c_240456,c_240454,c_240453,c_240452,c_240986,c_240451,c_240450,c_241002,c_240995,c_240990,c_240989,c_240988,c_240987,c_240978,c_240977,c_240976,c_240975,c_240974,c_240856,c_240855,c_240854,c_240853,c_240852,c_240851,c_240850,c_240849,c_240848,c_240847,c_240370,c_240371,c_240369,c_240368,c_240367,c_240366,c_240328,c_240329,c_240327,c_240326,c_240325,c_240324,c_240293,c_240292,c_240291,c_240290,c_240257,c_240258,c_240256,c_240255,c_240254,c_240215,c_240216,c_240214,c_240213,c_240212,c_240193,c_240192,c_240191,c_240188,c_240155,c_240156,c_240154,c_240153,c_240152,c_240136,c_240131,c_240132,c_240092,c_240091,c_240090,c_240094,c_240093,c_240089,c_240088,c_240027,c_240050,c_240028,c_240026,c_240025,c_240024,c_239979,c_239975,c_239981,c_239980,c_239978,c_239977,c_239976,c_239974,c_239969,c_239900,c_239896,c_239902,c_239901,c_239899,c_239898,c_239897,c_239895,c_239891,c_239872,c_239825,c_239821,c_239827,c_239826,c_239824,c_239823,c_239822,c_239820,c_239817,c_239816,c_239815,c_239754,c_239750,c_239756,c_239755,c_239753,c_239752,c_239751,c_239749,c_239747,c_239745,c_239718,c_239717,c_239716,c_239714,c_239648,c_239644,c_239650,c_239649,c_239647,c_239646,c_239645,c_239643,c_239642,c_239641,c_239639,c_239611,c_240051,c_239608,c_239579,c_239578,c_239577,c_239581,c_239580,c_239576,c_239550,c_240052,c_239551,c_239549,c_239548,c_239504,c_239500,c_239506,c_239505,c_239503,c_239502,c_239501,c_239499,c_240058,c_240057,c_240056,c_240055,c_240054,c_240053,c_239332,c_239459,c_239455,c_239461,c_239460,c_239458,c_239457,c_239456,c_239454,c_239437,c_239395,c_239391,c_239397,c_239396,c_239394,c_239393,c_239392,c_239390,c_239348,c_239344,c_239350,c_239349,c_239347,c_239346,c_239345,c_239343,c_239303,c_239302,c_239301,c_239300,c_239262,c_239258,c_239264,c_239263,c_239261,c_239260,c_239259,c_239257,c_239241,c_239239,c_239217,c_239216,c_239215,c_239219,c_239218,c_239199,c_239200,c_239198,c_239176,c_239174,c_239173,c_239172,c_239177,c_239175,c_239155,c_239152,c_239154,c_239153,c_239141,c_239121,c_239119,c_239118,c_239117,c_239122,c_239120,c_239331,c_239330,c_239329,c_239328,c_239327,c_239326,c_239325,c_239102,c_239101,c_239090,c_239089,c_239088,c_239087,c_239086,c_239081,c_239080,c_239071,c_239070,c_239069,c_239068,c_239055,c_239054,c_239053,c_239052,c_239051,c_239050,c_239047,c_239038,c_239037,c_239036,c_239035,c_239026,c_239025,c_239024,c_239013,c_238997,c_238998,c_238996,c_238984,c_238983,c_238972,c_238961,c_238962,c_238950,c_238951,c_238936,c_238938,c_238937,c_238925,c_238924,c_238917,c_238916,c_238915,c_238903,c_238895,c_238883,c_697,c_696,c_695,c_694,c_693,c_692,c_691,c_690,c_689,c_688,c_687,c_686,c_685,c_684,c_683,c_682,c_681,c_680,c_679,c_678,c_677,c_676,c_675,c_674,c_673,c_672,c_671,c_670,c_669,c_668,c_667,c_666,c_665,c_664,c_663,c_662,c_661,c_660,c_659,c_658,c_657,c_656,c_655,c_654,c_653,c_652,c_651,c_650,c_649,c_648,c_642,c_641,c_640,c_639,c_638,c_637,c_636,c_635,c_634,c_633,c_632,c_631,c_630,c_629,c_628,c_627,c_643,c_644,c_645,c_646,c_647,c_105,c_104,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP340-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 14:30:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 57.19/13.28 % SZS status Started for theBenchmark.p
% 57.19/13.28 % SZS status Unsatisfiable for theBenchmark.p
% 57.19/13.28
% 57.19/13.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 57.19/13.28
% 57.19/13.28 % ------ iProver source info
% 57.19/13.28
% 57.19/13.28 % git: date: 2026-07-19 20:42:38 +0200
% 57.19/13.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 57.19/13.28 % git: non_committed_changes: false
% 57.19/13.28
% 57.19/13.28 % ------ Parsing...% successful
% 57.19/13.28
% 57.19/13.28
% 57.19/13.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 57.19/13.28
% 57.19/13.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 57.19/13.28
% 57.19/13.28 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 57.19/13.28
% 57.19/13.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 57.19/13.28 % ------ Proving...
% 57.19/13.28 % ------ Problem Properties
% 57.19/13.28
% 57.19/13.28 %
% 57.19/13.28 % clauses 74
% 57.19/13.28 % conjectures 56
% 57.19/13.28 % EPR 51
% 57.19/13.28 % Horn 23
% 57.19/13.28 % unary 18
% 57.19/13.28 % binary 50
% 57.19/13.28 % lits 141
% 57.19/13.28 % lits eq 131
% 57.19/13.28 % fd_pure 0
% 57.19/13.28 % fd_pseudo 0
% 57.19/13.28 % fd_cond 0
% 57.19/13.28 % fd_pseudo_cond 0
% 57.19/13.28 % AC symbols 0
% 57.19/13.28
% 57.19/13.28 % ------ Schedule dynamic 5 is on
% 57.19/13.28
% 57.19/13.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 57.19/13.28
% 57.19/13.28
% 57.19/13.28 % ------
% 57.19/13.28 % Current options:
% 57.19/13.28 % ------
% 57.19/13.28
% 57.19/13.28
% 57.19/13.28 %
% 57.19/13.28
% 57.19/13.28 % ------ Proving...
% 57.19/13.28 % Proof_search_loop: time out after: 10894 full_loop iterations
% 57.19/13.28
% 57.19/13.28 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 57.19/13.28
% 57.19/13.28
% 57.19/13.28 % ------
% 57.19/13.28 % Current options:
% 57.19/13.28 % ------
% 57.19/13.28
% 57.19/13.28
% 57.19/13.28 %
% 57.19/13.28
% 57.19/13.28 % ------ Proving...
% 57.19/13.28 %
% 57.19/13.28
% 57.19/13.28 % SZS status Unsatisfiable for theBenchmark.p
% 57.19/13.28
% 57.19/13.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 92.24/13.41
% 92.24/13.41
%------------------------------------------------------------------------------