%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP310-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 01:32:48 PM UTC 2026
% Result : Unsatisfiable 10.68s 7.28s
% Output : CNFRefutation 10.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 43
% Syntax : Number of formulae : 332 ( 102 unt; 11 def)
% Number of atoms : 1169 ( 616 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 523 ( 183 ~; 340 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 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 : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c4)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c2) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != X0
| multiply(sk_c8,X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X1)
| multiply(X1,sk_c8) != X0
| sk_c7 != multiply(sk_c8,X0)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f56]) ).
fof(f58,plain,
! [X2,X3,X1,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,multiply(X1,sk_c8))
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f57]) ).
fof(f59,plain,
! [X2,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(sk_c8,multiply(X1,sk_c8))
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f58]) ).
tcf(c_79,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_80,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_82,negated_conjecture,
multiply(sk_c8,sk_c7) = sk_c6,
inference(cnf_transformation,[],[f5]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c8,sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c2 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c8) != sk_c6 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c8) != sk_c6 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 )
| ( multiply(X2,sk_c8) != sk_c7 ) ),
inference(global_subsumption_just,[status(thm)],[c_108,c_82,c_108]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c8) != sk_c6 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(renaming,[status(thm)],[c_113]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_114]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_114]) ).
tcf(c_360,negated_conjecture,
( iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_114]) ).
tcf(c_361,definition,
iPr_def_12 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_362,definition,
iPr_def_13 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_363,definition,
iPr_def_14 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_364,definition,
iPr_def_15 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_365,definition,
iPr_def_16 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_366,definition,
iPr_def_17 = multiply(sk_c8,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_367,definition,
iPr_def_18 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_368,definition,
iPr_def_19 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_369,definition,
iPr_def_20 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_370,definition,
iPr_def_21 = multiply(sk_c8,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_371,definition,
iPr_def_22 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_372,negated_conjecture,
( iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c6 )
| ( iPr_def_12 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_360,c_362,c_361]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_359]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_358]) ).
tcf(c_376,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107,c_364,c_363]) ).
tcf(c_377,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106,c_365]) ).
tcf(c_378,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105,c_366]) ).
tcf(c_379,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_104,c_367]) ).
tcf(c_380,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_368]) ).
tcf(c_381,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102,c_369]) ).
tcf(c_382,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_383,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_384,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_385,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_386,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97,c_370]) ).
tcf(c_387,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_388,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_389,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_390,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_391,negated_conjecture,
( ( iPr_def_14 = sk_c8 )
| ( iPr_def_12 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_392,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_12 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_393,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_12 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_394,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_12 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_395,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_12 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_396,negated_conjecture,
( ( iPr_def_14 = sk_c8 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_397,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_398,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_399,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_400,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_401,negated_conjecture,
iPr_def_22 = sk_c6,
inference(demodulation,[status(thm)],[c_82,c_371]) ).
tcf(c_402,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_614,plain,
multiply(iPr_def_22,sk_c7) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_361,c_401]) ).
tcf(c_681,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_387,c_366]) ).
tcf(c_707,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_389,c_614]) ).
tcf(c_724,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_390,c_614]) ).
tcf(c_743,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_385,c_370]) ).
tcf(c_744,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_384,c_370]) ).
tcf(c_745,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_383,c_370]) ).
tcf(c_746,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_382,c_370]) ).
tcf(c_762,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_379,c_371]) ).
tcf(c_765,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_389,c_371]) ).
tcf(c_786,plain,
! [X0: $i] :
( ( iPr_def_12 = sk_c8 )
| ( iPr_def_12 != X0 )
| ( sk_c8 != X0 ) ),
inference(instantiation,[status(thm)],[c_403]) ).
tcf(c_787,plain,
( ( iPr_def_12 = sk_c8 )
| ( iPr_def_12 != iPr_def_12 )
| ( sk_c8 != iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_788,plain,
iPr_def_12 = iPr_def_12,
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_791,plain,
multiply(iPr_def_13,sk_c8) = identity,
inference(superposition,[status(thm)],[c_362,c_80]) ).
tcf(c_792,plain,
multiply(iPr_def_18,sk_c3) = identity,
inference(superposition,[status(thm)],[c_367,c_80]) ).
tcf(c_793,plain,
multiply(iPr_def_14,sk_c4) = identity,
inference(superposition,[status(thm)],[c_363,c_80]) ).
tcf(c_794,plain,
multiply(iPr_def_15,sk_c1) = identity,
inference(superposition,[status(thm)],[c_364,c_80]) ).
tcf(c_807,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_391,c_366]) ).
tcf(c_880,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(sk_c8,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_393,c_371]) ).
tcf(c_920,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_394,c_371]) ).
tcf(c_973,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_22,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_395,c_614]) ).
tcf(c_1000,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_396,c_401]) ).
tcf(c_1016,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1000,c_366]) ).
tcf(c_1074,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c5 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_397,c_401]) ).
tcf(c_1084,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_398,c_401]) ).
tcf(c_1121,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_399,c_401]) ).
tcf(c_1134,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1121,c_371]) ).
tcf(c_1188,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_400,c_401]) ).
tcf(c_1218,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_368,c_81]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_80,c_81]) ).
tcf(c_1226,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c7,X0)) = multiply(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_614,c_81]) ).
tcf(c_1227,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_791,c_81]) ).
tcf(c_1228,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_792,c_81]) ).
tcf(c_1229,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_793,c_81]) ).
tcf(c_1230,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_794,c_81]) ).
tcf(c_1232,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1230,c_79]) ).
tcf(c_1233,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1229,c_79]) ).
tcf(c_1234,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1228,c_79]) ).
tcf(c_1235,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1227,c_79]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_403]) ).
tcf(c_1607,plain,
multiply(iPr_def_15,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_369,c_1232]) ).
tcf(c_1612,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_22 )
| ( sk_c8 != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_372,c_401]) ).
tcf(c_1677,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_368,c_374]) ).
tcf(c_1680,plain,
( ~ iPr_def_11
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_79,c_374]) ).
tcf(c_1683,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(iPr_def_13) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_791,c_374]) ).
tcf(c_1707,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( sk_c8 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_1677,c_367]) ).
tcf(c_1831,plain,
( ~ iPr_def_10
| ( inverse(sk_c3) != sk_c8 )
| ( multiply(sk_c8,iPr_def_19) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_368,c_375]) ).
tcf(c_1834,plain,
( ~ iPr_def_10
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_79,c_375]) ).
tcf(c_1837,plain,
( ~ iPr_def_10
| ( inverse(iPr_def_13) != sk_c8 )
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_791,c_375]) ).
tcf(c_1861,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_18 )
| ( multiply(sk_c8,iPr_def_19) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1831,c_367]) ).
tcf(c_2055,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_365,c_1233]) ).
tcf(c_2067,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c8,
inference(superposition,[status(thm)],[c_368,c_1234]) ).
tcf(c_2089,plain,
multiply(iPr_def_13,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_371,c_1235]) ).
tcf(c_2090,plain,
multiply(iPr_def_13,iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_366,c_1235]) ).
tcf(c_2091,plain,
multiply(iPr_def_13,iPr_def_21) = sk_c2,
inference(superposition,[status(thm)],[c_370,c_1235]) ).
tcf(c_2191,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2089,c_81]) ).
tcf(c_2197,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2090,c_81]) ).
tcf(c_2218,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(iPr_def_21,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2091,c_81]) ).
tcf(c_3208,plain,
multiply(iPr_def_15,sk_c1) = identity,
inference(superposition,[status(thm)],[c_364,c_80]) ).
tcf(c_3610,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_17 )
| ( X0 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_1289]) ).
tcf(c_3613,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c7 != iPr_def_17 )
| ( sk_c8 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_3610]) ).
tcf(c_3844,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_380,c_762]) ).
tcf(c_3849,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3844,c_2067]) ).
tcf(c_4046,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c7) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3849,c_371]) ).
tcf(c_4069,plain,
( ( iPr_def_12 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4046,c_614]) ).
tcf(c_4370,plain,
( ( iPr_def_12 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_4069,c_743]) ).
tcf(c_4444,plain,
( ( iPr_def_12 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_4370,c_1607]) ).
tcf(c_4622,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_394,c_765]) ).
tcf(c_5612,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_3208,c_81]) ).
tcf(c_5614,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5612,c_79]) ).
tcf(c_5625,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_392,c_807]) ).
tcf(c_5629,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_5625,c_2055]) ).
tcf(c_7114,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_13,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_880,c_1235]) ).
tcf(c_7116,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c8 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_7114,c_2089]) ).
tcf(c_7170,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_395,c_920]) ).
tcf(c_7179,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_7170,c_2067]) ).
tcf(c_7299,plain,
( iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_12 )
| ( iPr_def_13 != iPr_def_22 )
| ( iPr_def_12 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7179,c_1612]) ).
tcf(c_7306,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_7179,c_791]) ).
tcf(c_7308,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_22,sk_c7) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7179,c_371]) ).
tcf(c_7335,plain,
( ( iPr_def_12 = iPr_def_22 )
| ( sk_c8 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_7308,c_614]) ).
tcf(c_7338,plain,
( ( sk_c7 = identity )
| ( sk_c8 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_7306,c_2089]) ).
tcf(c_7952,plain,
multiply(iPr_def_15,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_369,c_5614]) ).
tcf(c_11026,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1074,c_1016]) ).
tcf(c_11031,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_11026,c_2055]) ).
tcf(c_11148,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_11031,c_362]) ).
tcf(c_13177,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1188,c_1134]) ).
tcf(c_13190,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_13177,c_2067]) ).
tcf(c_13239,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_13190,c_11031]) ).
tcf(c_13249,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( iPr_def_12 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_13190,c_7335]) ).
tcf(c_13286,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_13190,c_1121]) ).
tcf(c_13289,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_13190,c_791]) ).
tcf(c_13321,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = identity ) ),
inference(light_normalisation,[status(thm)],[c_13289,c_2089]) ).
tcf(c_13429,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_12 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13286,c_973]) ).
tcf(c_13458,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_13429,c_2067]) ).
tcf(c_13591,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_17) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_13239,c_2089]) ).
tcf(c_13598,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_13591,c_2090]) ).
tcf(c_13663,plain,
( ( iPr_def_12 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13249,c_724]) ).
tcf(c_13696,plain,
( ( iPr_def_12 = iPr_def_22 )
| ( sk_c2 = iPr_def_12 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_13663,c_2091]) ).
tcf(c_13760,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_13321,c_1084]) ).
tcf(c_13868,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13458,c_1000]) ).
tcf(c_16072,plain,
multiply(sk_c3,iPr_def_22) = multiply(iPr_def_19,sk_c7),
inference(superposition,[status(thm)],[c_371,c_1218]) ).
tcf(c_16469,plain,
multiply(iPr_def_18,multiply(iPr_def_19,sk_c7)) = iPr_def_22,
inference(superposition,[status(thm)],[c_16072,c_1234]) ).
tcf(c_19298,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1224,c_79]) ).
tcf(c_19336,plain,
multiply(inverse(sk_c8),iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_371,c_19298]) ).
tcf(c_19340,plain,
multiply(inverse(sk_c8),iPr_def_21) = sk_c2,
inference(superposition,[status(thm)],[c_370,c_19298]) ).
tcf(c_19342,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_79,c_19298]) ).
tcf(c_19343,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_80,c_19298]) ).
tcf(c_19345,plain,
multiply(inverse(iPr_def_22),iPr_def_12) = sk_c7,
inference(superposition,[status(thm)],[c_614,c_19298]) ).
tcf(c_19381,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_746,c_19298]) ).
tcf(c_19382,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_745,c_19298]) ).
tcf(c_19383,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_744,c_19298]) ).
tcf(c_19384,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_743,c_19298]) ).
tcf(c_19391,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_765,c_19298]) ).
tcf(c_19428,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_1235,c_19298]) ).
tcf(c_19429,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1234,c_19298]) ).
tcf(c_19430,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1233,c_19298]) ).
tcf(c_19431,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1232,c_19298]) ).
tcf(c_19456,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_19298,c_19298]) ).
tcf(c_21756,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_396,c_401]) ).
tcf(c_21860,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c2) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_376,c_370]) ).
tcf(c_21894,plain,
( ( sk_c8 = iPr_def_12 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_395,c_371]) ).
tcf(c_22040,negated_conjecture,
( iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c6 ) ),
inference(global_subsumption_just,[status(thm)],[c_372,c_372,c_787,c_788,c_7335,c_7299,c_13458]) ).
tcf(c_22042,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_22040,c_401]) ).
tcf(c_23314,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_381,c_21860]) ).
tcf(c_23316,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_23314,c_7952]) ).
tcf(c_24094,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_19343,c_19456]) ).
tcf(c_24119,plain,
multiply(iPr_def_12,identity) = multiply(iPr_def_22,sk_c7),
inference(superposition,[status(thm)],[c_24094,c_1226]) ).
tcf(c_24130,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_24094,c_19342]) ).
tcf(c_24134,plain,
multiply(iPr_def_12,identity) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_24119,c_614]) ).
tcf(c_24220,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_13760,c_24130]) ).
tcf(c_24481,plain,
( ~ iPr_def_11
| ( sk_c8 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1680,c_24130]) ).
tcf(c_24507,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_390,c_24481]) ).
tcf(c_24508,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_389,c_24481]) ).
tcf(c_24998,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_13)) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_19428,c_374]) ).
tcf(c_24999,plain,
multiply(sk_c8,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_19428,c_80]) ).
tcf(c_25002,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_19428,c_19298]) ).
tcf(c_25003,plain,
multiply(sk_c8,identity) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_19428,c_24094]) ).
tcf(c_25061,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(superposition,[status(thm)],[c_24999,c_1235]) ).
tcf(c_25223,plain,
inverse(iPr_def_13) = sk_c8,
inference(demodulation,[status(thm)],[c_25003,c_24094]) ).
tcf(c_25225,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_1683,c_25223]) ).
tcf(c_25226,plain,
( ~ iPr_def_11
| ( sk_c7 != identity ) ),
inference(equality_resolution_simp,[status(thm)],[c_25225]) ).
tcf(c_25238,plain,
( ( sk_c8 = iPr_def_12 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_7338,c_25226]) ).
tcf(c_25503,plain,
multiply(sk_c7,sk_c7) = multiply(iPr_def_13,iPr_def_12),
inference(superposition,[status(thm)],[c_614,c_2191]) ).
tcf(c_25828,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_13) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_25002,c_375]) ).
tcf(c_25918,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_25828,c_25223]) ).
tcf(c_26095,plain,
sk_c8 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_21894,c_3613,c_5629,c_7116,c_7335,c_7299,c_13458,c_25238,c_25918]) ).
tcf(c_26102,plain,
( ( iPr_def_12 = iPr_def_21 )
| ( iPr_def_12 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_23316,c_26095]) ).
tcf(c_26156,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( iPr_def_12 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_21756,c_26095]) ).
tcf(c_26958,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26156,c_22042]) ).
tcf(c_27736,plain,
sk_c8 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_4622,c_26095]) ).
tcf(c_27748,plain,
inverse(iPr_def_13) = iPr_def_12,
inference(demodulation,[status(thm)],[c_25223,c_27736]) ).
tcf(c_27830,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_12,iPr_def_20) = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_743,c_27736]) ).
tcf(c_27841,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_12,iPr_def_16) = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_681,c_27736]) ).
tcf(c_27855,plain,
multiply(iPr_def_18,iPr_def_19) = iPr_def_12,
inference(demodulation,[status(thm)],[c_2067,c_27736]) ).
tcf(c_27856,plain,
multiply(iPr_def_14,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_2055,c_27736]) ).
tcf(c_27863,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != iPr_def_12 )
| ( multiply(X0,iPr_def_12) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_374,c_27736]) ).
tcf(c_27864,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_22 )
| ( iPr_def_12 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_1612,c_27736]) ).
tcf(c_27865,plain,
multiply(iPr_def_15,iPr_def_20) = iPr_def_12,
inference(demodulation,[status(thm)],[c_1607,c_27736]) ).
tcf(c_27873,plain,
multiply(iPr_def_13,iPr_def_12) = identity,
inference(demodulation,[status(thm)],[c_791,c_27736]) ).
tcf(c_27875,plain,
multiply(iPr_def_12,sk_c7) = iPr_def_22,
inference(demodulation,[status(thm)],[c_371,c_27736]) ).
tcf(c_27876,plain,
multiply(iPr_def_12,sk_c2) = iPr_def_21,
inference(demodulation,[status(thm)],[c_370,c_27736]) ).
tcf(c_27877,plain,
multiply(sk_c1,iPr_def_12) = iPr_def_20,
inference(demodulation,[status(thm)],[c_369,c_27736]) ).
tcf(c_27879,plain,
( ( iPr_def_12 = iPr_def_14 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_386,c_27736]) ).
tcf(c_27881,plain,
multiply(sk_c3,iPr_def_12) = iPr_def_19,
inference(demodulation,[status(thm)],[c_368,c_27736]) ).
tcf(c_27882,plain,
multiply(iPr_def_12,sk_c5) = iPr_def_17,
inference(demodulation,[status(thm)],[c_366,c_27736]) ).
tcf(c_27883,plain,
multiply(sk_c4,iPr_def_12) = iPr_def_16,
inference(demodulation,[status(thm)],[c_365,c_27736]) ).
tcf(c_27884,plain,
inverse(iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_362,c_27736]) ).
tcf(c_27997,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_22 ) ),
inference(equality_resolution_simp,[status(thm)],[c_27864]) ).
tcf(c_28332,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_12,sk_c7) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_13598,c_27882]) ).
tcf(c_28343,plain,
( ~ iPr_def_10
| ( identity != iPr_def_12 )
| ( multiply(iPr_def_12,iPr_def_12) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1834,c_24130,c_27736]) ).
tcf(c_28353,plain,
( ~ iPr_def_10
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_1837,c_27736,c_27748]) ).
tcf(c_28354,plain,
( ~ iPr_def_10
| ( multiply(iPr_def_12,identity) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_28353,c_27736]) ).
tcf(c_28355,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_28354,c_24094]) ).
tcf(c_28364,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ iPr_def_10
| ( iPr_def_12 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_27879,c_28355]) ).
tcf(c_28372,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_12 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_390,c_28355]) ).
tcf(c_28373,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_12 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_388,c_28355]) ).
tcf(c_28573,plain,
multiply(sk_c7,sk_c7) = identity,
inference(light_normalisation,[status(thm)],[c_25503,c_27873]) ).
tcf(c_28600,plain,
multiply(iPr_def_12,sk_c7) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_28573,c_1226]) ).
tcf(c_28699,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13868,c_27997]) ).
tcf(c_28939,plain,
( iPr_def_11
| ( iPr_def_12 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_28699,c_26102,c_26958,c_28364]) ).
tcf(c_28981,plain,
multiply(sk_c5,identity) = multiply(iPr_def_13,iPr_def_17),
inference(superposition,[status(thm)],[c_24094,c_2197]) ).
tcf(c_28984,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_28981,c_2090]) ).
tcf(c_28989,plain,
multiply(sk_c2,identity) = multiply(iPr_def_13,iPr_def_21),
inference(superposition,[status(thm)],[c_24094,c_2218]) ).
tcf(c_28994,plain,
multiply(sk_c2,identity) = sk_c2,
inference(light_normalisation,[status(thm)],[c_28989,c_2091]) ).
tcf(c_29047,plain,
( ( sk_c8 != identity )
| ( sk_c8 != iPr_def_21 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_24507,c_1707,c_24507,c_24508]) ).
tcf(c_29048,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != identity ) ),
inference(renaming,[status(thm)],[c_29047]) ).
tcf(c_29261,plain,
( ~ iPr_def_11
| ( iPr_def_12 != iPr_def_13 )
| ( multiply(iPr_def_12,iPr_def_12) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_24998,c_27736,c_27884,c_27748]) ).
tcf(c_30303,plain,
multiply(sk_c3,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_19429,c_80]) ).
tcf(c_30307,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_18)) != iPr_def_12 )
| ( multiply(sk_c3,iPr_def_12) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_19429,c_27863]) ).
tcf(c_30318,plain,
multiply(sk_c3,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_19429,c_24094]) ).
tcf(c_30325,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( inverse(inverse(iPr_def_18)) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_30307,c_27881]) ).
tcf(c_30378,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_30303,c_1234]) ).
tcf(c_30585,plain,
inverse(iPr_def_18) = sk_c3,
inference(demodulation,[status(thm)],[c_30318,c_24094]) ).
tcf(c_30830,plain,
multiply(sk_c4,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_19430,c_80]) ).
tcf(c_32462,plain,
multiply(sk_c1,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_19431,c_80]) ).
tcf(c_33638,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_32462,c_30830,c_30585,c_30378,c_30325,c_30303,c_29261,c_29048,c_28994,c_28989,c_28984,c_28981,c_28939,c_28372,c_28373,c_28355,c_28343,c_28332,c_27748,c_28600,c_28573,c_27865,c_27883,c_27882,c_27881,c_27877,c_27876,c_27875,c_27841,c_27855,c_27856,c_27830,c_27736,c_25226,c_25061,c_24220,c_24134,c_24119,c_24130,c_27997,c_19391,c_19384,c_19383,c_19382,c_19381,c_19345,c_19340,c_19336,c_16469,c_13696,c_11148,c_4444,c_1861,c_1707,c_744,c_707,c_380,c_379,c_378,c_377,c_376,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP310-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n001.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 14:31:56 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 10.68/7.28 % SZS status Started for theBenchmark.p
% 10.68/7.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.68/7.28
% 10.68/7.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.68/7.28
% 10.68/7.28 % ------ iProver source info
% 10.68/7.28
% 10.68/7.28 % git: date: 2026-07-19 20:42:38 +0200
% 10.68/7.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.68/7.28 % git: non_committed_changes: false
% 10.68/7.28
% 10.68/7.28 % ------ Parsing...% successful
% 10.68/7.28
% 10.68/7.28
% 10.68/7.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.68/7.28
% 10.68/7.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.68/7.28
% 10.68/7.28 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.68/7.28
% 10.68/7.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.68/7.28 % ------ Proving...
% 10.68/7.28 % ------ Problem Properties
% 10.68/7.28
% 10.68/7.28 %
% 10.68/7.28 % clauses 43
% 10.68/7.28 % conjectures 29
% 10.68/7.28 % EPR 27
% 10.68/7.28 % Horn 17
% 10.68/7.28 % unary 15
% 10.68/7.28 % binary 25
% 10.68/7.28 % lits 75
% 10.68/7.28 % lits eq 71
% 10.68/7.28 % fd_pure 0
% 10.68/7.28 % fd_pseudo 0
% 10.68/7.28 % fd_cond 0
% 10.68/7.28 % fd_pseudo_cond 0
% 10.68/7.28 % AC symbols 0
% 10.68/7.28
% 10.68/7.28 % ------ Schedule dynamic 5 is on
% 10.68/7.28
% 10.68/7.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.68/7.28
% 10.68/7.28
% 10.68/7.28 % ------
% 10.68/7.28 % Current options:
% 10.68/7.28 % ------
% 10.68/7.28
% 10.68/7.28
% 10.68/7.28 %
% 10.68/7.28
% 10.68/7.28 % ------ Proving...
% 10.68/7.28 %
% 10.68/7.28
% 10.68/7.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.68/7.28
% 10.68/7.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.68/7.28
% 10.68/7.28
%------------------------------------------------------------------------------