%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP327-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:32:51 PM UTC 2026
% Result : Unsatisfiable 54.62s 8.61s
% Output : CNFRefutation 54.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 50
% Syntax : Number of formulae : 568 ( 122 unt; 12 def)
% Number of atoms : 2220 (1129 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1053 ( 388 ~; 665 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn 162 !; 0 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c7,sk_c8) = sk_c6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c6 = inverse(sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c6 = inverse(sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = inverse(sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c6 = inverse(sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c6 = inverse(sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X4,sk_c6) != sk_c7
| inverse(X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c6 != inverse(sk_c7)
| sk_c8 != inverse(X2)
| multiply(X2,sk_c8) != X1
| sk_c7 != multiply(sk_c8,X1)
| inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c6 != inverse(sk_c7)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f67]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_85,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_87,negated_conjecture,
multiply(sk_c7,sk_c8) = sk_c6,
inference(cnf_transformation,[],[f5]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_105,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_107,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_109,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X3,sk_c7) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_118,c_87,c_118]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(X3,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(renaming,[status(thm)],[c_123]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_124]) ).
tcf(c_417,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_124]) ).
tcf(c_418,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_124]) ).
tcf(c_419,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_124]) ).
tcf(c_420,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_124]) ).
tcf(c_421,definition,
iPr_def_14 = multiply(sk_c6,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_422,definition,
iPr_def_15 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_423,definition,
iPr_def_16 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_424,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_425,definition,
iPr_def_18 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_426,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_427,definition,
iPr_def_20 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_428,definition,
iPr_def_21 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_429,definition,
iPr_def_22 = multiply(sk_c8,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_430,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_431,definition,
iPr_def_24 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_432,definition,
iPr_def_25 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_433,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_420,c_422,c_421]) ).
tcf(c_434,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_419]) ).
tcf(c_435,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_418]) ).
tcf(c_436,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_417]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_416]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_117,c_424,c_423]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_116,c_425]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_426]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_427]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_428]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105,c_429]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99,c_430]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_460,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_461,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93,c_431]) ).
tcf(c_463,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_464,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_465,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_466,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_467,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_468,negated_conjecture,
iPr_def_25 = sk_c6,
inference(demodulation,[status(thm)],[c_87,c_432]) ).
tcf(c_469,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X2) = multiply(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_475,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_713,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_441,c_440]) ).
tcf(c_738,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_443,c_468]) ).
tcf(c_753,plain,
multiply(iPr_def_25,sk_c8) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_421,c_468]) ).
tcf(c_772,plain,
multiply(sk_c5,iPr_def_25) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_423,c_468]) ).
tcf(c_789,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c3 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_449,c_468]) ).
tcf(c_847,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_442,c_428]) ).
tcf(c_848,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_441,c_428]) ).
tcf(c_867,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,sk_c3) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_738,c_429]) ).
tcf(c_868,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c3) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_442,c_429]) ).
tcf(c_871,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_17,sk_c3) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_439,c_429]) ).
tcf(c_872,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c3) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_438,c_429]) ).
tcf(c_875,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_447,c_429]) ).
tcf(c_876,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_446,c_429]) ).
tcf(c_940,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_948,plain,
multiply(iPr_def_15,sk_c7) = identity,
inference(superposition,[status(thm)],[c_422,c_85]) ).
tcf(c_950,plain,
multiply(iPr_def_18,sk_c5) = identity,
inference(superposition,[status(thm)],[c_425,c_85]) ).
tcf(c_951,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_430,c_85]) ).
tcf(c_952,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = inverse(X0) )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_976,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_20 )
| ( iPr_def_20 != inverse(sk_c4) )
| ( inverse(X0) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_957]) ).
tcf(c_978,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_23 )
| ( iPr_def_23 != inverse(sk_c1) )
| ( inverse(X0) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_957]) ).
tcf(c_997,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_453,c_432]) ).
tcf(c_1035,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_454,c_431]) ).
tcf(c_1054,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_455,c_468]) ).
tcf(c_1065,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1054,c_422]) ).
tcf(c_1092,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_456,c_432]) ).
tcf(c_1095,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_456,c_450]) ).
tcf(c_1122,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != iPr_def_20 )
| ( inverse(X0) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_1137,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_457,c_432]) ).
tcf(c_1139,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c7 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_457,c_451]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = X1 )
| ( X1 != iPr_def_23 )
| ( inverse(X0) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_1174,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_458,c_432]) ).
tcf(c_1234,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_459,c_432]) ).
tcf(c_1284,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_460,c_454]) ).
tcf(c_1286,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_460,c_432]) ).
tcf(c_1308,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_20 )
| ( iPr_def_20 != X0 )
| ( sk_c7 != X0 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_1320,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_461,c_468]) ).
tcf(c_1334,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1320,c_432]) ).
tcf(c_1369,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_462,c_432]) ).
tcf(c_1434,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_1452,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_463,c_432]) ).
tcf(c_1498,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_23 )
| ( iPr_def_23 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_1527,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_464,c_432]) ).
tcf(c_1590,plain,
( ( inverse(sk_c4) = iPr_def_20 )
| ( iPr_def_20 != inverse(sk_c4) )
| ( inverse(sk_c4) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_976]) ).
tcf(c_1591,plain,
inverse(sk_c4) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_940]) ).
tcf(c_1631,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_465,c_432]) ).
tcf(c_1685,plain,
( ( inverse(sk_c1) = iPr_def_23 )
| ( iPr_def_23 != inverse(sk_c1) )
| ( inverse(sk_c1) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_1686,plain,
inverse(sk_c1) = inverse(sk_c1),
inference(instantiation,[status(thm)],[c_940]) ).
tcf(c_1715,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_1735,plain,
iPr_def_17 = iPr_def_17,
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_1755,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_466,c_432]) ).
tcf(c_1759,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_466,c_753]) ).
tcf(c_1839,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_467,c_468]) ).
tcf(c_1984,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c7 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_433,c_468]) ).
tcf(c_2123,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_431,c_435]) ).
tcf(c_2124,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_426,c_435]) ).
tcf(c_2142,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2124,c_427]) ).
tcf(c_2146,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2123,c_430]) ).
tcf(c_2214,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_2228,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = X0 )
| ( iPr_def_17 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_2265,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_431,c_436]) ).
tcf(c_2266,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_426,c_436]) ).
tcf(c_2284,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2266,c_427]) ).
tcf(c_2288,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( sk_c7 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2265,c_430]) ).
tcf(c_2335,plain,
( ( sk_c7 = iPr_def_20 )
| ( iPr_def_20 != inverse(sk_c4) )
| ( sk_c7 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1308]) ).
tcf(c_2350,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,iPr_def_25) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_437,c_468]) ).
tcf(c_2360,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_25 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_2350]) ).
tcf(c_2362,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c5) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_772,c_2350]) ).
tcf(c_2363,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_18 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2362,c_425]) ).
tcf(c_2398,plain,
( ~ iPr_def_13
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_434]) ).
tcf(c_2781,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != inverse(sk_c4) )
| ( X0 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_2782,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ( iPr_def_20 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_2785,plain,
! [X0: $i] :
( ( X0 = iPr_def_23 )
| ( iPr_def_23 != inverse(sk_c1) )
| ( X0 != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1498]) ).
tcf(c_2806,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1139,c_1095]) ).
tcf(c_2972,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_85,c_86]) ).
tcf(c_2975,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_25,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_772,c_86]) ).
tcf(c_2976,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_948,c_86]) ).
tcf(c_2978,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_950,c_86]) ).
tcf(c_2979,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_951,c_86]) ).
tcf(c_2980,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_952,c_86]) ).
tcf(c_2986,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2980,c_84]) ).
tcf(c_2987,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2979,c_84]) ).
tcf(c_2988,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2978,c_84]) ).
tcf(c_2990,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2976,c_84]) ).
tcf(c_3168,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1284,c_1139]) ).
tcf(c_3419,plain,
! [X0: $i] :
( ( inverse(sk_c1) = X0 )
| ( X0 != iPr_def_23 )
| ( inverse(sk_c1) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_1159]) ).
tcf(c_3420,plain,
( ( inverse(sk_c1) = sk_c7 )
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c1) != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_3419]) ).
tcf(c_3506,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_3594,plain,
( ( sk_c8 = iPr_def_20 )
| ( iPr_def_20 != sk_c8 )
| ( sk_c8 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_2782]) ).
tcf(c_3595,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_3888,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_428,c_2986]) ).
tcf(c_3902,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c7,
inference(superposition,[status(thm)],[c_431,c_2987]) ).
tcf(c_3916,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_22,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_2806,c_951]) ).
tcf(c_4068,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_847,c_2986]) ).
tcf(c_4069,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4068,c_3888]) ).
tcf(c_4127,plain,
multiply(iPr_def_15,iPr_def_25) = sk_c8,
inference(superposition,[status(thm)],[c_432,c_2990]) ).
tcf(c_4282,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_24) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_3168,c_3902]) ).
tcf(c_4361,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_848,c_2986]) ).
tcf(c_4362,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_4361,c_3888]) ).
tcf(c_4432,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_448,c_868]) ).
tcf(c_4438,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4432,c_3888]) ).
tcf(c_4541,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4438,c_442]) ).
tcf(c_5079,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_445,c_871]) ).
tcf(c_5082,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5079,c_3888]) ).
tcf(c_5107,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_444,c_872]) ).
tcf(c_5109,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_5107,c_3888]) ).
tcf(c_5192,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(sk_c1) )
| ( X1 != X0 )
| ( inverse(sk_c1) != X0 ) ),
inference(instantiation,[status(thm)],[c_968]) ).
tcf(c_5256,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_713,c_875]) ).
tcf(c_5300,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_5256,c_3888]) ).
tcf(c_5310,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_713,c_876]) ).
tcf(c_5348,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5310,c_3888]) ).
tcf(c_5615,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5109,c_438]) ).
tcf(c_6319,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2214]) ).
tcf(c_6399,plain,
! [X0: $i] :
( ( iPr_def_17 = X0 )
| ( iPr_def_17 != iPr_def_17 )
| ( X0 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_2228]) ).
tcf(c_6435,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5615,c_4541]) ).
tcf(c_7511,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_997,c_2990]) ).
tcf(c_7512,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7511,c_4127]) ).
tcf(c_8023,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1035,c_2987]) ).
tcf(c_8024,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_8023,c_3902]) ).
tcf(c_8122,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_462,c_1092]) ).
tcf(c_8135,plain,
( ( sk_c7 = iPr_def_25 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_8122,c_3902]) ).
tcf(c_8238,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8135,c_456]) ).
tcf(c_8241,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_8135,c_948]) ).
tcf(c_8245,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8135,c_450]) ).
tcf(c_8261,plain,
( ( sk_c8 = identity )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_8241,c_4127]) ).
tcf(c_9426,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8261,c_5109]) ).
tcf(c_9441,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8261,c_462]) ).
tcf(c_9455,plain,
( ( identity = iPr_def_17 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8261,c_438]) ).
tcf(c_10025,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_463,c_1137]) ).
tcf(c_10039,plain,
( ( sk_c7 = iPr_def_25 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_10025,c_3902]) ).
tcf(c_10208,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1174,c_2990]) ).
tcf(c_10209,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_10208,c_4127]) ).
tcf(c_10386,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c7 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_10039,c_457]) ).
tcf(c_10390,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_10039,c_948]) ).
tcf(c_10393,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c7 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_10039,c_451]) ).
tcf(c_10410,plain,
( ( sk_c8 = identity )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_10390,c_4127]) ).
tcf(c_10600,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_10386,c_8238]) ).
tcf(c_10735,plain,
( ~ iPr_def_11
| ( inverse(sk_c1) != sk_c7 )
| ( multiply(sk_c1,sk_c7) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_10854,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c8 )
| ( sk_c8 != iPr_def_20 )
| ( inverse(X0) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_1122]) ).
tcf(c_10900,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_10393,c_8245]) ).
tcf(c_11035,plain,
( ( sk_c8 = iPr_def_23 )
| ( iPr_def_23 != inverse(sk_c1) )
| ( sk_c8 != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_2785]) ).
tcf(c_11052,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_11945,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_10410,c_5082]) ).
tcf(c_11958,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_10410,c_463]) ).
tcf(c_12581,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1234,c_2990]) ).
tcf(c_12582,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_12581,c_4127]) ).
tcf(c_13197,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_11945,c_9426]) ).
tcf(c_13470,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_466,c_1286]) ).
tcf(c_13487,plain,
( ( sk_c7 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_13470,c_3902]) ).
tcf(c_13601,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1369,c_2990]) ).
tcf(c_13602,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_13601,c_4127]) ).
tcf(c_13734,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_14 )
| ( iPr_def_15 != iPr_def_25 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_13487,c_1984]) ).
tcf(c_13736,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13487,c_460]) ).
tcf(c_13740,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13487,c_454]) ).
tcf(c_13741,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_13487,c_948]) ).
tcf(c_13742,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_25,sk_c8) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_13487,c_432]) ).
tcf(c_13758,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_13742,c_753]) ).
tcf(c_13761,plain,
( ( sk_c8 = identity )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_13741,c_4127]) ).
tcf(c_14077,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_13736,c_10386]) ).
tcf(c_14086,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13736,c_8238]) ).
tcf(c_14321,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_13740,c_10393]) ).
tcf(c_14330,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_13740,c_8245]) ).
tcf(c_14589,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_3506,c_86]) ).
tcf(c_14595,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_14589,c_84]) ).
tcf(c_15308,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1452,c_2990]) ).
tcf(c_15309,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_15308,c_4127]) ).
tcf(c_15508,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1527,c_2990]) ).
tcf(c_15509,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_15508,c_4127]) ).
tcf(c_15650,plain,
! [X0: $i] :
( ( iPr_def_15 = X0 )
| ( iPr_def_15 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_2214]) ).
tcf(c_15980,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_13197,c_84]) ).
tcf(c_16328,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1631,c_2990]) ).
tcf(c_16329,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_16328,c_4127]) ).
tcf(c_16982,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1755,c_2990]) ).
tcf(c_16983,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_16982,c_4127]) ).
tcf(c_17050,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_789,c_867]) ).
tcf(c_17057,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_17050,c_3888]) ).
tcf(c_17440,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13761,c_4438]) ).
tcf(c_17444,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13761,c_466]) ).
tcf(c_17453,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(identity,sk_c3) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_13761,c_429]) ).
tcf(c_17458,plain,
( ( identity = iPr_def_17 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13761,c_442]) ).
tcf(c_18095,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17444,c_11958]) ).
tcf(c_18104,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17444,c_9441]) ).
tcf(c_18437,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17458,c_9455]) ).
tcf(c_18660,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14086,c_1759]) ).
tcf(c_18661,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14077,c_1759]) ).
tcf(c_18666,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10600,c_1759]) ).
tcf(c_18678,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_18666,c_3902]) ).
tcf(c_18681,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_18661,c_3902]) ).
tcf(c_18684,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_18660,c_3902]) ).
tcf(c_19363,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_428,c_14595]) ).
tcf(c_20962,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_17440,c_11945]) ).
tcf(c_20967,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_17440,c_9426]) ).
tcf(c_21303,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_16 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18437,c_84]) ).
tcf(c_21620,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_18 )
| ( iPr_def_15 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18681,c_1984]) ).
tcf(c_21953,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_16 )
| ( iPr_def_15 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18684,c_1984]) ).
tcf(c_22497,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1839,c_1334]) ).
tcf(c_22515,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c7 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_22497,c_3902]) ).
tcf(c_22646,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_22515,c_1320]) ).
tcf(c_22652,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_22515,c_948]) ).
tcf(c_22658,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22515,c_422]) ).
tcf(c_22672,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c8 = identity ) ),
inference(light_normalisation,[status(thm)],[c_22652,c_4127]) ).
tcf(c_23300,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22646,c_1759]) ).
tcf(c_23360,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_23300,c_3902]) ).
tcf(c_23747,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_22672,c_17057]) ).
tcf(c_25474,plain,
! [X0: $i] :
( ( sk_c8 = inverse(sk_c1) )
| ( sk_c8 != X0 )
| ( inverse(sk_c1) != X0 ) ),
inference(instantiation,[status(thm)],[c_5192]) ).
tcf(c_25476,plain,
( ( sk_c8 = inverse(sk_c1) )
| ( sk_c8 != sk_c7 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_25474]) ).
tcf(c_28141,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_441,c_440]) ).
tcf(c_28256,plain,
multiply(iPr_def_25,sk_c8) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_421,c_468]) ).
tcf(c_28289,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_442,c_428]) ).
tcf(c_28569,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_448,c_429]) ).
tcf(c_28570,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_447,c_429]) ).
tcf(c_28680,plain,
multiply(iPr_def_15,sk_c7) = identity,
inference(superposition,[status(thm)],[c_422,c_85]) ).
tcf(c_29107,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c7 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_433,c_468]) ).
tcf(c_29216,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_85,c_86]) ).
tcf(c_29248,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_28680,c_86]) ).
tcf(c_29249,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_29248,c_84]) ).
tcf(c_29304,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_431,c_435]) ).
tcf(c_29305,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_426,c_435]) ).
tcf(c_29306,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_84,c_435]) ).
tcf(c_29324,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_29305,c_427]) ).
tcf(c_29328,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_29304,c_430]) ).
tcf(c_29374,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_431,c_436]) ).
tcf(c_29375,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_426,c_436]) ).
tcf(c_29376,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_436]) ).
tcf(c_29394,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_29375,c_427]) ).
tcf(c_29398,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( sk_c7 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_29374,c_430]) ).
tcf(c_29438,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,iPr_def_25) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_437,c_468]) ).
tcf(c_29448,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_25 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_29438]) ).
tcf(c_29496,plain,
( ~ iPr_def_13
| ( inverse(sk_c2) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_428,c_434]) ).
tcf(c_29497,plain,
( ~ iPr_def_13
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_434]) ).
tcf(c_29526,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_29496,c_424]) ).
tcf(c_30395,plain,
multiply(iPr_def_15,iPr_def_25) = sk_c8,
inference(superposition,[status(thm)],[c_432,c_29249]) ).
tcf(c_30447,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_30395,c_86]) ).
tcf(c_30572,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_28289,c_86]) ).
tcf(c_31083,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28141,c_28570]) ).
tcf(c_31121,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_31083,c_19363]) ).
tcf(c_33776,plain,
multiply(sk_c5,iPr_def_14) = multiply(iPr_def_16,sk_c8),
inference(superposition,[status(thm)],[c_753,c_2975]) ).
tcf(c_34053,plain,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_17 != iPr_def_17 )
| ( sk_c8 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_6399]) ).
tcf(c_35114,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2972,c_84]) ).
tcf(c_35173,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_84,c_35114]) ).
tcf(c_35174,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_85,c_35114]) ).
tcf(c_35317,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2990,c_35114]) ).
tcf(c_35319,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2988,c_35114]) ).
tcf(c_35320,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2987,c_35114]) ).
tcf(c_35321,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2986,c_35114]) ).
tcf(c_35356,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_35114,c_35114]) ).
tcf(c_35851,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( sk_c8 != iPr_def_20 )
| ( inverse(sk_c4) != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_10854]) ).
tcf(c_36690,plain,
! [X0: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != iPr_def_20 )
| ( X0 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_11052]) ).
tcf(c_36706,plain,
! [X0: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_11052]) ).
tcf(c_36707,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c8 != sk_c8 )
| ( sk_c7 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_36706]) ).
tcf(c_37031,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_35174,c_35356]) ).
tcf(c_37067,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_37031,c_35173]) ).
tcf(c_37379,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23747,c_37067]) ).
tcf(c_37380,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20967,c_37067]) ).
tcf(c_37381,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20962,c_37067]) ).
tcf(c_37386,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_13197,c_37067]) ).
tcf(c_40725,plain,
multiply(sk_c7,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_35317,c_85]) ).
tcf(c_40730,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_35317,c_35114]) ).
tcf(c_40731,plain,
multiply(sk_c7,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_35317,c_37031]) ).
tcf(c_41233,plain,
inverse(iPr_def_15) = sk_c7,
inference(demodulation,[status(thm)],[c_40731,c_37031]) ).
tcf(c_43839,plain,
multiply(sk_c5,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_35319,c_85]) ).
tcf(c_48999,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_35320,c_37031]) ).
tcf(c_49607,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_48999,c_37031]) ).
tcf(c_51488,plain,
multiply(sk_c2,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_35321,c_37031]) ).
tcf(c_51601,plain,
inverse(iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_51488,c_37031]) ).
tcf(c_54247,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_25 != sk_c6 )
| ( iPr_def_15 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_15650]) ).
tcf(c_54596,plain,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c6 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_6319]) ).
tcf(c_58723,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_20 != inverse(sk_c4) )
| ( iPr_def_19 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_2781]) ).
tcf(c_61413,plain,
iPr_def_19 = iPr_def_19,
inference(instantiation,[status(thm)],[c_469]) ).
tcf(c_64741,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_37379,c_1065]) ).
tcf(c_64940,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_64741,c_14330]) ).
tcf(c_64943,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_64741,c_14321]) ).
tcf(c_64953,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64741,c_10900]) ).
tcf(c_67279,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_64940,c_6435]) ).
tcf(c_70200,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( inverse(iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_67279,c_51601]) ).
tcf(c_70231,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c7 = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_70200,c_41233]) ).
tcf(c_70457,plain,
( ( sk_c8 = iPr_def_20 )
| ( iPr_def_20 != inverse(sk_c4) )
| ( sk_c8 != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_2781]) ).
tcf(c_70489,plain,
( ( sk_c8 = inverse(sk_c4) )
| ( sk_c8 != sk_c8 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_36706]) ).
tcf(c_83353,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64940,c_37380]) ).
tcf(c_83372,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_83353,c_41233]) ).
tcf(c_83482,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_83372,c_22515]) ).
tcf(c_86734,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64943,c_37381]) ).
tcf(c_86754,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_86734,c_41233]) ).
tcf(c_86952,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_86754,c_22515]) ).
tcf(c_87884,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_29216,c_84]) ).
tcf(c_87930,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_84,c_87884]) ).
tcf(c_87931,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_85,c_87884]) ).
tcf(c_88117,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_87884,c_87884]) ).
tcf(c_97136,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_87931,c_88117]) ).
tcf(c_97157,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_97136,c_87930]) ).
tcf(c_97654,plain,
multiply(sk_c8,sk_c8) = multiply(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_28256,c_30447]) ).
tcf(c_101256,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64953,c_37386]) ).
tcf(c_101277,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101256,c_41233]) ).
tcf(c_101403,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_101277,c_22515]) ).
tcf(c_104804,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_101403,c_10600]) ).
tcf(c_105405,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( inverse(iPr_def_15) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_104804,c_49607]) ).
tcf(c_105442,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c7 = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_105405,c_41233]) ).
tcf(c_107971,plain,
( ( sk_c7 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_458,c_29324]) ).
tcf(c_107974,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_452,c_29324]) ).
tcf(c_107979,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_440,c_29324]) ).
tcf(c_109430,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_29328,c_2146,c_2142,c_15509,c_16329]) ).
tcf(c_111492,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_29394,c_2288,c_2284,c_10209,c_15509]) ).
tcf(c_111527,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11
| ( iPr_def_20 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_457,c_111492]) ).
tcf(c_111528,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_20 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_456,c_111492]) ).
tcf(c_113177,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_15980,c_3916]) ).
tcf(c_113413,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_460,c_29398]) ).
tcf(c_113414,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_457,c_29398]) ).
tcf(c_113415,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_456,c_29398]) ).
tcf(c_113559,plain,
( ( sk_c8 = iPr_def_19 )
| ( iPr_def_19 != iPr_def_20 )
| ( sk_c8 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_36690]) ).
tcf(c_115555,plain,
( ( sk_c7 = iPr_def_23 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_107971,c_12582,c_107971]) ).
tcf(c_115561,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_107974,c_7512,c_107974]) ).
tcf(c_115567,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_107979,c_4362,c_107979]) ).
tcf(c_118342,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c7 = identity ) ),
inference(superposition,[status(thm)],[c_113177,c_105442]) ).
tcf(c_118801,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_118802,plain,
! [X0: $i] :
( ( sk_c8 = X0 )
| ( sk_c8 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_118801]) ).
tcf(c_118810,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c8 )
| ( sk_c8 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_118814,plain,
( ( sk_c8 = multiply(iPr_def_17,iPr_def_21) )
| ( sk_c8 != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_21) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_118802]) ).
tcf(c_118829,plain,
! [X0: $i] :
( ( X0 = sk_c8 )
| ( sk_c8 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_118810]) ).
tcf(c_118832,plain,
! [X0: $i] :
( ( X0 = sk_c8 )
| ( sk_c8 != multiply(iPr_def_17,iPr_def_21) )
| ( X0 != multiply(iPr_def_17,iPr_def_21) ) ),
inference(instantiation,[status(thm)],[c_118810]) ).
tcf(c_118833,plain,
( ( sk_c7 = sk_c8 )
| ( sk_c8 != multiply(iPr_def_17,iPr_def_21) )
| ( sk_c7 != multiply(iPr_def_17,iPr_def_21) ) ),
inference(instantiation,[status(thm)],[c_118832]) ).
tcf(c_118858,plain,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_19 != iPr_def_19 )
| ( sk_c8 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_118829]) ).
tcf(c_118874,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(iPr_def_17,iPr_def_21) )
| ( X1 != X0 )
| ( multiply(iPr_def_17,iPr_def_21) != X0 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_118915,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_118939,plain,
! [X0: $i,X1: $i] :
( ( multiply(iPr_def_17,iPr_def_21) = multiply(X0,X1) )
| ( iPr_def_21 != X1 )
| ( iPr_def_17 != X0 ) ),
inference(instantiation,[status(thm)],[c_471]) ).
tcf(c_119078,plain,
! [X0: $i,X1: $i] :
( ( X1 = inverse(sk_c4) )
| ( X1 != X0 )
| ( inverse(sk_c4) != X0 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_119136,plain,
! [X0: $i] :
( ( multiply(iPr_def_17,iPr_def_21) = multiply(sk_c8,X0) )
| ( iPr_def_21 != X0 )
| ( iPr_def_17 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_118939]) ).
tcf(c_119258,plain,
! [X0: $i] :
( ( iPr_def_19 = X0 )
| ( iPr_def_19 != sk_c8 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_118915]) ).
tcf(c_120294,plain,
! [X0: $i] :
( ( X0 = inverse(sk_c4) )
| ( X0 != sk_c8 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_119078]) ).
tcf(c_120295,plain,
( ( sk_c7 = inverse(sk_c4) )
| ( sk_c7 != sk_c8 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_120294]) ).
tcf(c_120297,plain,
( ( iPr_def_19 = inverse(sk_c4) )
| ( iPr_def_19 != sk_c8 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_119258]) ).
tcf(c_121192,plain,
( ( multiply(iPr_def_17,iPr_def_21) = multiply(sk_c8,sk_c3) )
| ( iPr_def_21 != sk_c3 )
| ( iPr_def_17 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_119136]) ).
tcf(c_122241,plain,
! [X0: $i] :
( ( X0 = multiply(iPr_def_17,iPr_def_21) )
| ( X0 != multiply(sk_c8,sk_c3) )
| ( multiply(iPr_def_17,iPr_def_21) != multiply(sk_c8,sk_c3) ) ),
inference(instantiation,[status(thm)],[c_118874]) ).
tcf(c_122243,plain,
( ( sk_c7 = multiply(iPr_def_17,iPr_def_21) )
| ( sk_c7 != multiply(sk_c8,sk_c3) )
| ( multiply(iPr_def_17,iPr_def_21) != multiply(sk_c8,sk_c3) ) ),
inference(instantiation,[status(thm)],[c_122241]) ).
tcf(c_133772,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(sk_c8,sk_c3) )
| ( X1 != X0 )
| ( multiply(sk_c8,sk_c3) != X0 ) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_133773,plain,
( ( sk_c7 = multiply(sk_c8,sk_c3) )
| ( sk_c7 != sk_c7 )
| ( multiply(sk_c8,sk_c3) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_133772]) ).
tcf(c_144862,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_111527,c_15309,c_113414]) ).
tcf(c_144868,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_111528,c_13602,c_113415]) ).
tcf(c_146969,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_118342,c_18678]) ).
tcf(c_148543,plain,
( ( sk_c3 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_17453,c_84]) ).
tcf(c_148600,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_148543,c_448]) ).
tcf(c_148820,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_148600,c_460]) ).
tcf(c_161154,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_31121,c_427,c_1590,c_1591,c_5300,c_5348,c_35851,c_58723,c_61413,c_118858,c_120297]) ).
tcf(c_171018,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_29306,c_430,c_1685,c_1686,c_3420,c_3595,c_11035,c_25476,c_36707,c_109430,c_115555]) ).
tcf(c_171024,plain,
( ( iPr_def_19 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_161154,c_171018]) ).
tcf(c_171038,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_465,c_171018]) ).
tcf(c_172412,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_171038,c_102,c_475,c_427,c_447,c_1735,c_2142,c_3594,c_3595,c_3888,c_34053,c_70457,c_70489,c_113559,c_115561,c_115567,c_118814,c_118833,c_121192,c_122243,c_133773,c_171018,c_171024]) ).
tcf(c_172414,plain,
~ iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_172412,c_2142,c_113559,c_115561,c_171024,c_172412]) ).
tcf(c_172416,plain,
( iPr_def_13
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c7 != iPr_def_14 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_29107,c_172414]) ).
tcf(c_172592,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_29376,c_96,c_90,c_427,c_2335,c_10735,c_111492,c_120295]) ).
tcf(c_172978,plain,
( ~ iPr_def_10
| ( inverse(identity) != sk_c7 ) ),
inference(global_subsumption_just,[status(thm)],[c_29448,c_2363,c_2360,c_8135,c_10039]) ).
tcf(c_172980,plain,
( ~ iPr_def_10
| ( sk_c7 != identity ) ),
inference(light_normalisation,[status(thm)],[c_172978,c_97157]) ).
tcf(c_173016,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_457,c_172980]) ).
tcf(c_173020,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_10
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_451,c_172980]) ).
tcf(c_173021,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_10
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_450,c_172980]) ).
tcf(c_177053,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c2 = identity ) ),
inference(superposition,[status(thm)],[c_21303,c_952]) ).
tcf(c_177279,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c7 = identity ) ),
inference(superposition,[status(thm)],[c_177053,c_70231]) ).
tcf(c_178294,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_173016,c_2363,c_9426,c_11945,c_173021,c_173020]) ).
tcf(c_178296,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_178294,c_2363,c_9426,c_173021,c_178294]) ).
tcf(c_179352,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_17 )
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28569,c_29526]) ).
tcf(c_180519,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_177279,c_18684]) ).
tcf(c_182093,plain,
sk_c7 = iPr_def_14,
inference(global_subsumption_just,[status(thm)],[c_30572,c_102,c_475,c_427,c_447,c_1735,c_2142,c_2363,c_3594,c_3595,c_3888,c_4069,c_8024,c_9426,c_11945,c_13758,c_13734,c_16983,c_23360,c_34053,c_70457,c_70489,c_113413,c_113559,c_115561,c_115567,c_118814,c_118833,c_121192,c_122243,c_133773,c_171018,c_171024,c_173021,c_173020,c_179352]) ).
tcf(c_182101,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_172592,c_182093]) ).
tcf(c_182132,plain,
( ( iPr_def_14 = iPr_def_16 )
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_144868,c_182093]) ).
tcf(c_182133,plain,
( ( iPr_def_14 = iPr_def_18 )
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_144862,c_182093]) ).
tcf(c_182285,plain,
multiply(iPr_def_15,iPr_def_14) = identity,
inference(demodulation,[status(thm)],[c_28680,c_182093]) ).
tcf(c_182288,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c8 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_463,c_182093]) ).
tcf(c_182289,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c8 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_462,c_182093]) ).
tcf(c_182614,plain,
multiply(sk_c8,sk_c8) = identity,
inference(demodulation,[status(thm)],[c_97654,c_182285]) ).
tcf(c_186384,plain,
( ~ iPr_def_13
| ( identity != iPr_def_14 )
| ( sk_c8 != identity ) ),
inference(light_normalisation,[status(thm)],[c_29497,c_97157,c_182093,c_182614]) ).
tcf(c_186402,plain,
( ( iPr_def_14 = iPr_def_16 )
| ~ iPr_def_13
| ( identity != iPr_def_24 )
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_182289,c_186384]) ).
tcf(c_186403,plain,
( ( iPr_def_14 = iPr_def_18 )
| ~ iPr_def_13
| ( identity != iPr_def_24 )
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_182288,c_186384]) ).
tcf(c_186627,plain,
sk_c7 = iPr_def_14,
inference(global_subsumption_just,[status(thm)],[c_148820,c_102,c_475,c_427,c_447,c_1735,c_2142,c_2363,c_3594,c_3595,c_3888,c_4069,c_8024,c_9426,c_11945,c_13758,c_13734,c_16983,c_23360,c_34053,c_70457,c_70489,c_113413,c_113559,c_115561,c_115567,c_118814,c_118833,c_121192,c_122243,c_133773,c_171018,c_171024,c_173021,c_173020,c_179352]) ).
tcf(c_186768,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0,
inference(demodulation,[status(thm)],[c_40730,c_186627]) ).
tcf(c_186780,plain,
multiply(iPr_def_14,iPr_def_15) = identity,
inference(demodulation,[status(thm)],[c_40725,c_186627]) ).
tcf(c_186932,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c8 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_462,c_186627]) ).
tcf(c_186942,plain,
multiply(iPr_def_15,iPr_def_14) = identity,
inference(demodulation,[status(thm)],[c_948,c_186627]) ).
tcf(c_186943,plain,
multiply(iPr_def_14,sk_c8) = iPr_def_25,
inference(demodulation,[status(thm)],[c_432,c_186627]) ).
tcf(c_186951,plain,
inverse(iPr_def_14) = iPr_def_15,
inference(demodulation,[status(thm)],[c_422,c_186627]) ).
tcf(c_187521,plain,
iPr_def_14 = iPr_def_16,
inference(global_subsumption_just,[status(thm)],[c_186932,c_102,c_475,c_427,c_447,c_1735,c_2142,c_2363,c_3594,c_3595,c_3888,c_9426,c_11945,c_18104,c_21953,c_34053,c_70457,c_70489,c_83482,c_113559,c_115561,c_115567,c_118814,c_118833,c_121192,c_122243,c_133773,c_171018,c_171024,c_173021,c_173020,c_180519,c_182132,c_186402]) ).
tcf(c_187563,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( identity = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_146969,c_187521]) ).
tcf(c_187696,plain,
multiply(sk_c5,iPr_def_14) = multiply(iPr_def_14,sk_c8),
inference(demodulation,[status(thm)],[c_33776,c_187521]) ).
tcf(c_187730,plain,
multiply(sk_c5,iPr_def_14) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_187696,c_186943]) ).
tcf(c_188291,plain,
iPr_def_14 = iPr_def_18,
inference(global_subsumption_just,[status(thm)],[c_4282,c_102,c_475,c_427,c_447,c_1735,c_2142,c_2363,c_3594,c_3595,c_3888,c_9426,c_11945,c_18095,c_21620,c_34053,c_70457,c_70489,c_86952,c_113559,c_115561,c_115567,c_118814,c_118833,c_121192,c_122243,c_133773,c_171018,c_171024,c_173021,c_173020,c_182133,c_186403,c_187563]) ).
tcf(c_188336,plain,
multiply(sk_c5,iPr_def_14) = identity,
inference(demodulation,[status(thm)],[c_43839,c_188291]) ).
tcf(c_188353,plain,
identity = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_188336,c_187730]) ).
tcf(c_188361,plain,
inverse(iPr_def_25) = iPr_def_25,
inference(demodulation,[status(thm)],[c_37067,c_188353]) ).
tcf(c_188362,plain,
! [X0: $i] : multiply(X0,iPr_def_25) = X0,
inference(demodulation,[status(thm)],[c_37031,c_188353]) ).
tcf(c_188375,plain,
! [X0: $i] : multiply(iPr_def_25,X0) = X0,
inference(demodulation,[status(thm)],[c_84,c_188353]) ).
tcf(c_188376,plain,
sk_c8 = iPr_def_14,
inference(demodulation,[status(thm)],[c_753,c_188375]) ).
tcf(c_188563,plain,
iPr_def_15 = iPr_def_25,
inference(demodulation,[status(thm)],[c_22658,c_188361]) ).
tcf(c_188564,plain,
sk_c6 = iPr_def_15,
inference(demodulation,[status(thm)],[c_468,c_188563]) ).
tcf(c_188584,plain,
multiply(iPr_def_14,iPr_def_15) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_186780,c_188353,c_188563]) ).
tcf(c_188586,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_188584,c_86]) ).
tcf(c_188588,plain,
! [X0: $i] : multiply(iPr_def_15,X0) = X0,
inference(light_normalisation,[status(thm)],[c_188586,c_186768]) ).
tcf(c_188613,plain,
identity = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_188353,c_188563]) ).
tcf(c_188671,plain,
multiply(iPr_def_15,iPr_def_14) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_186942,c_188613]) ).
tcf(c_188672,plain,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_188671,c_188588]) ).
tcf(c_188674,plain,
iPr_def_14 = iPr_def_25,
inference(demodulation,[status(thm)],[c_188563,c_188672]) ).
tcf(c_188675,plain,
identity = iPr_def_14,
inference(demodulation,[status(thm)],[c_188613,c_188672]) ).
tcf(c_188678,plain,
inverse(iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_186951,c_188672]) ).
tcf(c_188769,plain,
! [X0: $i] : multiply(X0,iPr_def_14) = X0,
inference(light_normalisation,[status(thm)],[c_188362,c_188674]) ).
tcf(c_189130,plain,
( ( multiply(sk_c8,sk_c8) != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_2398,c_468,c_1715,c_2398,c_54247,c_54596,c_172416,c_178296,c_182093,c_182101,c_188564,c_188376]) ).
tcf(c_189131,plain,
( ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(renaming,[status(thm)],[c_189130]) ).
tcf(c_189132,plain,
$false,
inference(ground_joinability,[status(thm)],[c_189131,c_186627,c_188376,c_188675,c_188678,c_188769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP327-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n008.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Wed Sep 23 14:29:54 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51
% 0.21/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.51
% 0.21/0.51 % Detected problem language: tptp
% 0.21/0.53 % Proving...
% 54.62/8.61 % SZS status Started for theBenchmark.p
% 54.62/8.61 ERROR - "ProverProcess:heur/330959:296.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(sk_c8,sk_c7) != sk_c8 | ~iPr_def_12 )")
% 54.62/8.61 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(sk_c8,sk_c7) != sk_c8 | ~iPr_def_12 )")
% 54.62/8.61 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict funpre --abstr_ref_under "[]" --abstr_ref_until_sat false --add_important_lit false --bc_imp_inh "[conj_cone]" --brand_transform false --clause_weak_htbl true --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --gc_record_bc_elim false --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_sos_phase true --inst_sos_sth_lit_sel "[+prop;+non_prol_conj_symb;-eq;+ground;-num_var]" --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --large_theory_mode true --lt_threshold 2000 --min_unsat_core false --non_eq_to_eq false --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sem_filter_out false --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessed_out false --preprocessed_stats false --preprocessing_flag true --prolific_symb_bound 256 --prop_impl_unit "[]" --prop_impl_unit_size 0 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_orphan_elimination true --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300. --res_to_prop_solver active --reset_solvers false --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --soft_assumptions false --soft_lemma_size 3 --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[BwDemod;BwUnitSubsAndRes]" --sup_full_fw "[FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[BwUnitSubsAndRes]" --sup_immed_bw_main "[BwUnitSubsAndRes]" --sup_immed_fw_immed "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes]" --sup_immed_fw_main "[FwUnitSubsAndRes]" --sup_immed_triv "[]" --sup_indices_passive "[LightNormIndex;UnitSubsumptionIndex]" --sup_input_bw "[BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]" --sup_input_fw "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 98.67" --time_out_real 296.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_fmsjo93k/4b6f_qim 2>> /export/starexec/sandbox/tmp/iprover_out_fmsjo93k/4b6f_qim_error
% 54.62/8.61 % SZS status Unsatisfiable for theBenchmark.p
% 54.62/8.61
% 54.62/8.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.62/8.61
% 54.62/8.61 % ------ iProver source info
% 54.62/8.61
% 54.62/8.61 % git: date: 2026-07-19 20:42:38 +0200
% 54.62/8.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.62/8.61 % git: non_committed_changes: false
% 54.62/8.61
% 54.62/8.61 % ------ Parsing...% successful
% 54.62/8.61
% 54.62/8.61
% 54.62/8.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.62/8.61
% 54.62/8.61 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 54.62/8.61
% 54.62/8.61 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.62/8.61
% 54.62/8.61 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 54.62/8.61 % ------ Proving...
% 54.62/8.61 % ------ Problem Properties
% 54.62/8.61
% 54.62/8.61 %
% 54.62/8.61 % clauses 51
% 54.62/8.61 % conjectures 36
% 54.62/8.61 % EPR 32
% 54.62/8.61 % Horn 20
% 54.62/8.61 % unary 16
% 54.62/8.61 % binary 30
% 54.62/8.61 % lits 94
% 54.62/8.61 % lits eq 86
% 54.62/8.61 % fd_pure 0
% 54.62/8.61 % fd_pseudo 0
% 54.62/8.61 % fd_cond 0
% 54.62/8.61 % fd_pseudo_cond 0
% 54.62/8.61 % AC symbols 0
% 54.62/8.61
% 54.62/8.61 % ------ Schedule dynamic 5 is on
% 54.62/8.61
% 54.62/8.61 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.62/8.61
% 54.62/8.61
% 54.62/8.61 % ------
% 54.62/8.61 % Current options:
% 54.62/8.61 % ------
% 54.62/8.61
% 54.62/8.61
% 54.62/8.61 %
% 54.62/8.61
% 54.62/8.61 % ------ Proving...
% 54.62/8.61 %
% 54.62/8.61
% 54.62/8.61 % SZS status Unsatisfiable for theBenchmark.p
% 54.62/8.61
% 54.62/8.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.62/8.62
% 54.62/8.62
%------------------------------------------------------------------------------