%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP300-1 : 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 : n012.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 01:32:46 PM UTC 2026
% Result : Unsatisfiable 8.11s 1.51s
% Output : CNFRefutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 139 ( 60 unt; 8 def)
% Number of atoms : 461 ( 253 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 235 ( 95 ~; 140 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 37 :)
% 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_c5,sk_c4) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| multiply(sk_c6,sk_c5) = sk_c4 ),
inference(reorient_equations,[],[f5]) ).
fof(f19,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c6) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f31,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f47,negated_conjecture,
( inverse(sk_c6) = sk_c4
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c4 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f53,negated_conjecture,
! [X2,X0,X1] :
( inverse(X2) != sk_c4
| multiply(X2,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
! [X2,X0,X1] :
( sk_c4 != inverse(X2)
| sk_c5 != multiply(X2,sk_c4)
| sk_c4 != inverse(sk_c6)
| sk_c6 != inverse(X1)
| sk_c5 != multiply(X1,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c4)
| sk_c5 != multiply(sk_c4,sk_c6)
| inverse(X0) != sk_c6
| sk_c5 != multiply(X0,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c4 ),
inference(reorient_equations,[],[f53]) ).
tcf(c_77,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_78,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,negated_conjecture,
( ( multiply(sk_c5,sk_c4) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c4 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c6) = sk_c4 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c6) = sk_c4 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c6) != sk_c4 )
| ( inverse(X2) != sk_c4 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c4 )
| ( multiply(X2,sk_c4) != sk_c5 )
| ( multiply(X1,sk_c6) != sk_c5 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_349,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_104]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c4 )
| ( multiply(X0,sk_c4) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_104]) ).
tcf(c_351,negated_conjecture,
( iPr_def_11
| iPr_def_10
| ( inverse(sk_c6) != sk_c4 )
| ( multiply(sk_c4,sk_c6) != sk_c5 )
| ( multiply(sk_c5,sk_c4) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c4 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_104]) ).
tcf(c_352,definition,
iPr_def_12 = multiply(sk_c6,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_353,definition,
iPr_def_13 = multiply(sk_c5,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_354,definition,
iPr_def_14 = multiply(sk_c4,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_355,definition,
iPr_def_15 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_358,definition,
iPr_def_18 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_359,definition,
iPr_def_19 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_360,definition,
iPr_def_20 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_361,definition,
iPr_def_21 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_362,negated_conjecture,
( iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c4 )
| ( iPr_def_14 != sk_c5 )
| ( iPr_def_13 != sk_c6 )
| ( iPr_def_12 != sk_c4 ) ),
inference(demodulation,[status(thm)],[c_351,c_355,c_354,c_353,c_352]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c4 )
| ( multiply(X0,sk_c4) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_350]) ).
tcf(c_365,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_349]) ).
tcf(c_368,negated_conjecture,
( ( iPr_def_15 = sk_c4 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_375,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_376,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_19 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_380,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_15 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_381,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_382,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_19 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_389,negated_conjecture,
( ( iPr_def_13 = sk_c6 )
| ( iPr_def_12 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_390,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_675,plain,
( ( sk_c5 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_368,c_354]) ).
tcf(c_717,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c5) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_375,c_352]) ).
tcf(c_733,plain,
( ( sk_c6 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_376,c_352]) ).
tcf(c_750,plain,
! [X0: $i] :
( ( iPr_def_12 = sk_c4 )
| ( iPr_def_12 != X0 )
| ( sk_c4 != X0 ) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i] :
( ( sk_c4 = X0 )
| ( sk_c4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_767,plain,
! [X0: $i] :
( ( sk_c4 = X0 )
| ( sk_c4 != sk_c4 )
| ( X0 != sk_c4 ) ),
inference(instantiation,[status(thm)],[c_753]) ).
tcf(c_768,plain,
sk_c4 = sk_c4,
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_844,plain,
( ( iPr_def_12 = sk_c4 )
| ( iPr_def_12 != iPr_def_15 )
| ( sk_c4 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_750]) ).
tcf(c_896,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_381,c_352]) ).
tcf(c_920,plain,
( ( sk_c4 = iPr_def_12 )
| ( iPr_def_12 != sk_c4 )
| ( sk_c4 != sk_c4 ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_943,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_375,c_359]) ).
tcf(c_954,plain,
multiply(iPr_def_18,sk_c2) = identity,
inference(superposition,[status(thm)],[c_358,c_78]) ).
tcf(c_955,plain,
multiply(iPr_def_15,sk_c6) = identity,
inference(superposition,[status(thm)],[c_355,c_78]) ).
tcf(c_957,plain,
multiply(iPr_def_20,sk_c1) = identity,
inference(superposition,[status(thm)],[c_360,c_78]) ).
tcf(c_982,plain,
( ( sk_c5 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_382,c_352]) ).
tcf(c_1524,plain,
( ~ iPr_def_11
| ( sk_c5 != identity )
| ( inverse(inverse(sk_c4)) != sk_c4 ) ),
inference(superposition,[status(thm)],[c_78,c_364]) ).
tcf(c_1668,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_19 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_359,c_365]) ).
tcf(c_1669,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_21 )
| ( inverse(sk_c1) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_361,c_365]) ).
tcf(c_1685,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_21 )
| ( sk_c6 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_1669,c_360]) ).
tcf(c_1689,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_19 )
| ( sk_c6 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_1668,c_358]) ).
tcf(c_1806,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_354,c_79]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_78,c_79]) ).
tcf(c_1810,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_955,c_79]) ).
tcf(c_1811,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_954,c_79]) ).
tcf(c_1813,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_957,c_79]) ).
tcf(c_1817,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1813,c_77]) ).
tcf(c_1819,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1811,c_77]) ).
tcf(c_1820,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1810,c_77]) ).
tcf(c_2300,plain,
( iPr_def_11
| iPr_def_10
| ( sk_c5 = iPr_def_21 )
| ( iPr_def_12 != iPr_def_15 )
| ( sk_c4 != iPr_def_15 )
| ( sk_c5 != iPr_def_14 )
| ( sk_c6 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_380,c_362]) ).
tcf(c_2725,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_361,c_1817]) ).
tcf(c_2742,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c6,
inference(superposition,[status(thm)],[c_359,c_1819]) ).
tcf(c_2752,plain,
multiply(iPr_def_15,iPr_def_12) = sk_c5,
inference(superposition,[status(thm)],[c_352,c_1820]) ).
tcf(c_3607,plain,
( ( identity = iPr_def_14 )
| ( sk_c5 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_675,c_955]) ).
tcf(c_4115,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_381,c_717]) ).
tcf(c_4124,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c6 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_4115,c_2725]) ).
tcf(c_4170,plain,
( ( sk_c6 = iPr_def_12 )
| ( multiply(iPr_def_18,sk_c5) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4124,c_352]) ).
tcf(c_4498,plain,
( ( sk_c6 = iPr_def_20 )
| ( sk_c6 = iPr_def_12 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4124,c_733]) ).
tcf(c_4507,plain,
( ( sk_c6 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_12) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_733,c_1820]) ).
tcf(c_4508,plain,
( ( sk_c5 = iPr_def_19 )
| ( sk_c6 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_4507,c_2752]) ).
tcf(c_4523,plain,
( ( sk_c6 = iPr_def_20 )
| ( sk_c6 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_4498,c_2742]) ).
tcf(c_5526,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_12) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_896,c_1820]) ).
tcf(c_5527,plain,
( ( sk_c5 = iPr_def_21 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5526,c_2752]) ).
tcf(c_5551,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_943,c_1819]) ).
tcf(c_5552,plain,
( ( sk_c6 = iPr_def_20 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5551,c_2742]) ).
tcf(c_5667,plain,
( ( sk_c5 = iPr_def_19 )
| ( sk_c6 = iPr_def_12 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4523,c_982]) ).
tcf(c_5680,plain,
( ( sk_c5 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_12) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_982,c_1820]) ).
tcf(c_5681,plain,
( ( sk_c5 = iPr_def_21 )
| ( sk_c5 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5680,c_2752]) ).
tcf(c_5716,plain,
( ( sk_c5 = iPr_def_19 )
| ( sk_c6 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_5667,c_2725]) ).
tcf(c_18971,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1808,c_77]) ).
tcf(c_19000,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_78,c_18971]) ).
tcf(c_19089,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1820,c_18971]) ).
tcf(c_19127,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18971,c_18971]) ).
tcf(c_20247,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_19000,c_19127]) ).
tcf(c_28844,plain,
multiply(sk_c6,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_19089,c_78]) ).
tcf(c_28887,plain,
multiply(sk_c4,identity) = multiply(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_28844,c_1806]) ).
tcf(c_29988,plain,
multiply(iPr_def_14,iPr_def_15) = sk_c4,
inference(demodulation,[status(thm)],[c_28887,c_20247]) ).
tcf(c_31465,plain,
( ( sk_c6 = iPr_def_12 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_5716,c_4170]) ).
tcf(c_31493,plain,
sk_c6 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_31465,c_2742]) ).
tcf(c_31606,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_12 != iPr_def_13 )
| ( sk_c4 != iPr_def_15 )
| ( sk_c4 != iPr_def_12 )
| ( sk_c5 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_362,c_31493]) ).
tcf(c_31612,plain,
( ( iPr_def_12 = iPr_def_13 )
| ( sk_c4 = iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_389,c_31493]) ).
tcf(c_31614,plain,
multiply(iPr_def_15,iPr_def_12) = identity,
inference(demodulation,[status(thm)],[c_955,c_31493]) ).
tcf(c_31624,plain,
inverse(iPr_def_12) = iPr_def_15,
inference(demodulation,[status(thm)],[c_355,c_31493]) ).
tcf(c_31653,plain,
sk_c5 = identity,
inference(demodulation,[status(thm)],[c_2752,c_31614]) ).
tcf(c_31699,plain,
identity = iPr_def_14,
inference(demodulation,[status(thm)],[c_3607,c_31653]) ).
tcf(c_31714,plain,
multiply(identity,sk_c4) = iPr_def_13,
inference(demodulation,[status(thm)],[c_353,c_31653]) ).
tcf(c_31764,plain,
! [X0: $i] : multiply(iPr_def_14,X0) = X0,
inference(demodulation,[status(thm)],[c_77,c_31699]) ).
tcf(c_31767,plain,
sk_c4 = iPr_def_15,
inference(demodulation,[status(thm)],[c_29988,c_31764]) ).
tcf(c_31834,plain,
( iPr_def_11
| iPr_def_10
| ( iPr_def_12 != iPr_def_13 )
| ( sk_c4 != iPr_def_12 )
| ( sk_c5 != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31606,c_31767]) ).
tcf(c_31993,plain,
sk_c5 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_31653,c_31699]) ).
tcf(c_31994,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( iPr_def_12 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_31612,c_31767]) ).
tcf(c_32278,plain,
multiply(iPr_def_14,iPr_def_15) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_31714,c_31699,c_31767]) ).
tcf(c_32279,plain,
iPr_def_13 = iPr_def_15,
inference(demodulation,[status(thm)],[c_32278,c_31764]) ).
tcf(c_32285,plain,
inverse(iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_31624,c_32279]) ).
tcf(c_32288,plain,
iPr_def_12 = iPr_def_13,
inference(demodulation,[status(thm)],[c_31994,c_32279]) ).
tcf(c_32289,plain,
sk_c4 = iPr_def_13,
inference(demodulation,[status(thm)],[c_31767,c_32279]) ).
tcf(c_32320,plain,
iPr_def_12 = iPr_def_15,
inference(demodulation,[status(thm)],[c_32279,c_32288]) ).
tcf(c_32386,plain,
sk_c4 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_32289,c_32288]) ).
tcf(c_32389,plain,
inverse(iPr_def_12) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_32285,c_32288]) ).
tcf(c_32695,plain,
( ~ iPr_def_11
| ( inverse(inverse(sk_c4)) != sk_c4 ) ),
inference(global_subsumption_just,[status(thm)],[c_1524,c_1524,c_31653]) ).
tcf(c_32697,plain,
~ iPr_def_11,
inference(ground_joinability,[status(thm)],[c_32695,c_32386,c_32389]) ).
tcf(c_33635,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_1685,c_1689,c_1685,c_4508,c_5552]) ).
tcf(c_33637,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_33635,c_1689,c_5527,c_5681,c_33635]) ).
tcf(c_35343,plain,
( iPr_def_11
| ( sk_c5 != iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_2300,c_768,c_844,c_920,c_31767,c_31834,c_32320,c_32288,c_33637]) ).
tcf(c_35345,plain,
iPr_def_11,
inference(ground_joinability,[status(thm)],[c_35343,c_31993]) ).
tcf(c_35346,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_35345,c_32697]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP300-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 14:23:51 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.33
% 0.04/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.33
% 0.04/0.33 % Detected problem language: tptp
% 0.08/0.33 % Proving...
% 8.11/1.51 % SZS status Started for theBenchmark.p
% 8.11/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.51
% 8.11/1.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.11/1.51
% 8.11/1.51 % ------ iProver source info
% 8.11/1.51
% 8.11/1.51 % git: date: 2026-07-19 20:42:38 +0200
% 8.11/1.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.11/1.51 % git: non_committed_changes: false
% 8.11/1.51
% 8.11/1.51 % ------ Parsing...% successful
% 8.11/1.51
% 8.11/1.51
% 8.11/1.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.11/1.51
% 8.11/1.51 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.11/1.51
% 8.11/1.51 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.11/1.51
% 8.11/1.51 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.11/1.51 % ------ Proving...
% 8.11/1.51 % ------ Problem Properties
% 8.11/1.51
% 8.11/1.51 %
% 8.11/1.51 % clauses 40
% 8.11/1.51 % conjectures 27
% 8.11/1.51 % EPR 25
% 8.11/1.51 % Horn 15
% 8.11/1.51 % unary 13
% 8.11/1.51 % binary 24
% 8.11/1.51 % lits 73
% 8.11/1.51 % lits eq 69
% 8.11/1.51 % fd_pure 0
% 8.11/1.51 % fd_pseudo 0
% 8.11/1.51 % fd_cond 0
% 8.11/1.51 % fd_pseudo_cond 0
% 8.11/1.51 % AC symbols 0
% 8.11/1.51
% 8.11/1.51 % ------ Schedule dynamic 5 is on
% 8.11/1.51
% 8.11/1.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.11/1.51
% 8.11/1.51
% 8.11/1.51 % ------
% 8.11/1.51 % Current options:
% 8.11/1.51 % ------
% 8.11/1.51
% 8.11/1.51
% 8.11/1.51 %
% 8.11/1.51
% 8.11/1.51 % ------ Proving...
% 8.11/1.51 %
% 8.11/1.51
% 8.11/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 8.11/1.51
% 8.11/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.11/1.51
% 8.11/1.51
%------------------------------------------------------------------------------