%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP278-1 : 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 : n010.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 01:32:42 PM UTC 2026
% Result : Unsatisfiable 2.09s 1.75s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 211 ( 84 unt; 9 def)
% Number of atoms : 645 ( 360 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 276 ( 95 ~; 181 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 44 :)
% 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_c6) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f10,negated_conjecture,
( inverse(sk_c3) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c5 = inverse(sk_c3)
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f14]) ).
fof(f20,negated_conjecture,
( inverse(sk_c3) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c5 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c3) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c5 = inverse(sk_c3)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c4
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c3) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c5 = inverse(sk_c3)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c5
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c5 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
! [X2,X0,X1] :
( multiply(X2,sk_c4) != sk_c5
| inverse(X2) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6
| multiply(sk_c5,sk_c6) != sk_c4
| multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c4) != sk_c5
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
! [X2,X0,X1] :
( sk_c5 != multiply(X2,sk_c4)
| sk_c5 != inverse(X2)
| sk_c6 != multiply(X1,sk_c5)
| sk_c6 != inverse(X1)
| multiply(sk_c5,sk_c6) != sk_c4
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != inverse(sk_c4)
| inverse(X0) != sk_c6
| sk_c5 != multiply(X0,sk_c6) ),
inference(reorient_equations,[],[f44]) ).
tcf(c_73,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_76,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c4 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_79,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_80,negated_conjecture,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_81,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c4 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c1) = sk_c6 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c5,sk_c6) = sk_c4 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c3,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c4 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c3,sk_c4) = sk_c5 )
| ( multiply(sk_c6,sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c4) != sk_c5 )
| ( inverse(X2) != sk_c5 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c4 )
| ( multiply(sk_c6,sk_c4) != sk_c5 )
| ( multiply(X2,sk_c4) != sk_c5 )
| ( multiply(X1,sk_c5) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_305,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_96]) ).
tcf(c_306,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c4) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_96]) ).
tcf(c_307,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_96]) ).
tcf(c_308,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c4) != sk_c5 )
| ( multiply(sk_c5,sk_c6) != sk_c4 )
| ( multiply(sk_c6,sk_c4) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_96]) ).
tcf(c_309,definition,
iPr_def_13 = multiply(sk_c6,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_310,definition,
iPr_def_14 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_311,definition,
iPr_def_15 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_312,definition,
iPr_def_16 = multiply(sk_c3,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_313,definition,
iPr_def_17 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_314,definition,
iPr_def_18 = multiply(sk_c2,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_315,definition,
iPr_def_19 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_316,definition,
iPr_def_20 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_317,definition,
iPr_def_21 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_318,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c5 )
| ( iPr_def_14 != sk_c4 )
| ( iPr_def_13 != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_308,c_311,c_310,c_309]) ).
tcf(c_319,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_307]) ).
tcf(c_320,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c4) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_306]) ).
tcf(c_321,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_305]) ).
tcf(c_322,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_95,c_312]) ).
tcf(c_323,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_94,c_313]) ).
tcf(c_324,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_93,c_314]) ).
tcf(c_325,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_92,c_315]) ).
tcf(c_326,negated_conjecture,
( ( iPr_def_14 = sk_c4 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_327,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_328,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_329,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_330,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_331,negated_conjecture,
( ( iPr_def_15 = sk_c5 )
| ( iPr_def_14 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_332,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_85,c_316]) ).
tcf(c_333,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_14 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_80,c_317]) ).
tcf(c_338,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_341,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_14 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_597,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_328,c_314]) ).
tcf(c_598,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_327,c_314]) ).
tcf(c_599,plain,
( ( sk_c5 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_323,c_314]) ).
tcf(c_616,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c4) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_330,c_309]) ).
tcf(c_629,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_331,c_312]) ).
tcf(c_679,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c4) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_333,c_309]) ).
tcf(c_780,plain,
( ( sk_c6 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_336,c_312]) ).
tcf(c_797,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_337,c_314]) ).
tcf(c_835,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_333,c_317]) ).
tcf(c_836,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_332,c_317]) ).
tcf(c_882,plain,
multiply(iPr_def_19,sk_c2) = identity,
inference(superposition,[status(thm)],[c_315,c_74]) ).
tcf(c_883,plain,
multiply(iPr_def_17,sk_c3) = identity,
inference(superposition,[status(thm)],[c_313,c_74]) ).
tcf(c_884,plain,
multiply(iPr_def_20,sk_c1) = identity,
inference(superposition,[status(thm)],[c_316,c_74]) ).
tcf(c_885,plain,
multiply(iPr_def_15,sk_c4) = identity,
inference(superposition,[status(thm)],[c_311,c_74]) ).
tcf(c_894,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_338,c_314]) ).
tcf(c_1050,plain,
( ( sk_c5 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_341,c_312]) ).
tcf(c_1073,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_21 )
| ( inverse(sk_c1) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_317,c_319]) ).
tcf(c_1093,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_21 )
| ( sk_c6 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_1073,c_316]) ).
tcf(c_1213,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_16 )
| ( inverse(sk_c3) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_312,c_320]) ).
tcf(c_1214,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_13 )
| ( inverse(sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_309,c_320]) ).
tcf(c_1215,plain,
( ~ iPr_def_11
| ( sk_c5 != sk_c4 )
| ( inverse(identity) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_73,c_320]) ).
tcf(c_1231,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_17 )
| ( sk_c5 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_1213,c_313]) ).
tcf(c_1391,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c5 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_21 )
| ( sk_c4 != iPr_def_14 )
| ( sk_c5 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_338,c_318]) ).
tcf(c_1699,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c6,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_317,c_75]) ).
tcf(c_1700,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_310,c_75]) ).
tcf(c_1701,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c5,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_314,c_75]) ).
tcf(c_1703,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_309,c_75]) ).
tcf(c_1705,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_74,c_75]) ).
tcf(c_1707,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_882,c_75]) ).
tcf(c_1708,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_883,c_75]) ).
tcf(c_1709,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_884,c_75]) ).
tcf(c_1710,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_885,c_75]) ).
tcf(c_1715,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1710,c_73]) ).
tcf(c_1716,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1709,c_73]) ).
tcf(c_1717,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1708,c_73]) ).
tcf(c_1718,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1707,c_73]) ).
tcf(c_1988,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_317,c_1716]) ).
tcf(c_2011,plain,
multiply(iPr_def_17,iPr_def_16) = sk_c4,
inference(superposition,[status(thm)],[c_312,c_1717]) ).
tcf(c_2172,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2011,c_75]) ).
tcf(c_2176,plain,
multiply(iPr_def_19,iPr_def_18) = sk_c5,
inference(superposition,[status(thm)],[c_314,c_1718]) ).
tcf(c_2179,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2176,c_75]) ).
tcf(c_2644,plain,
( ( sk_c5 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_599,c_1718]) ).
tcf(c_2645,plain,
( ( sk_c5 = iPr_def_17 )
| ( sk_c5 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2644,c_2176]) ).
tcf(c_2690,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_14) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_331,c_616]) ).
tcf(c_3326,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_797,c_1718]) ).
tcf(c_3327,plain,
( ( sk_c5 = iPr_def_21 )
| ( sk_c5 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3326,c_2176]) ).
tcf(c_3541,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_835,c_1716]) ).
tcf(c_3542,plain,
( ( sk_c5 = iPr_def_17 )
| ( sk_c6 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_3541,c_1988]) ).
tcf(c_3633,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_894,c_1718]) ).
tcf(c_3634,plain,
( ( sk_c5 = iPr_def_21 )
| ( sk_c5 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3633,c_2176]) ).
tcf(c_4675,plain,
multiply(sk_c1,iPr_def_13) = multiply(iPr_def_21,sk_c4),
inference(superposition,[status(thm)],[c_309,c_1699]) ).
tcf(c_4821,plain,
multiply(sk_c5,iPr_def_13) = multiply(iPr_def_14,sk_c4),
inference(superposition,[status(thm)],[c_309,c_1700]) ).
tcf(c_4873,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c4) = multiply(iPr_def_21,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_338,c_4821]) ).
tcf(c_4914,plain,
multiply(sk_c2,multiply(iPr_def_14,sk_c4)) = multiply(iPr_def_18,iPr_def_13),
inference(superposition,[status(thm)],[c_4821,c_1701]) ).
tcf(c_5266,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1705,c_73]) ).
tcf(c_5276,plain,
multiply(inverse(sk_c5),iPr_def_14) = sk_c6,
inference(superposition,[status(thm)],[c_310,c_5266]) ).
tcf(c_5277,plain,
multiply(inverse(sk_c2),iPr_def_18) = sk_c5,
inference(superposition,[status(thm)],[c_314,c_5266]) ).
tcf(c_5279,plain,
multiply(inverse(sk_c6),iPr_def_13) = sk_c4,
inference(superposition,[status(thm)],[c_309,c_5266]) ).
tcf(c_5280,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_73,c_5266]) ).
tcf(c_5281,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_74,c_5266]) ).
tcf(c_5308,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_597,c_5266]) ).
tcf(c_5310,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_598,c_5266]) ).
tcf(c_5347,plain,
multiply(inverse(sk_c5),multiply(iPr_def_14,sk_c4)) = iPr_def_13,
inference(superposition,[status(thm)],[c_4821,c_5266]) ).
tcf(c_5358,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1718,c_5266]) ).
tcf(c_5359,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1717,c_5266]) ).
tcf(c_5360,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1716,c_5266]) ).
tcf(c_5361,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1715,c_5266]) ).
tcf(c_5387,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5266,c_5266]) ).
tcf(c_5908,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_5281,c_5387]) ).
tcf(c_5918,plain,
multiply(sk_c5,sk_c6) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_5908,c_1700]) ).
tcf(c_5920,plain,
multiply(sk_c5,identity) = multiply(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_5908,c_2179]) ).
tcf(c_5922,plain,
multiply(sk_c4,identity) = multiply(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_5908,c_2172]) ).
tcf(c_5923,plain,
multiply(sk_c6,sk_c4) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_5908,c_1703]) ).
tcf(c_5929,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5908,c_5280]) ).
tcf(c_5931,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_5923,c_309]) ).
tcf(c_5934,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_5920,c_2176]) ).
tcf(c_5936,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_5918,c_310]) ).
tcf(c_6201,plain,
( ( sk_c5 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c5 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_333,c_1093]) ).
tcf(c_6298,plain,
( ( sk_c5 = iPr_def_17 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_6201,c_3634,c_6201]) ).
tcf(c_6573,plain,
( ( sk_c5 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c5 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_322,c_1231]) ).
tcf(c_6691,plain,
( ( sk_c5 = iPr_def_13 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_6573,c_2645,c_6573]) ).
tcf(c_7010,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_5358,c_5266]) ).
tcf(c_7011,plain,
multiply(sk_c2,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_5358,c_5908]) ).
tcf(c_7036,plain,
inverse(iPr_def_19) = sk_c2,
inference(demodulation,[status(thm)],[c_7011,c_5908]) ).
tcf(c_7138,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_14,sk_c4)) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_4873,c_5266]) ).
tcf(c_7214,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2690,c_7010]) ).
tcf(c_7216,plain,
multiply(sk_c2,sk_c5) = iPr_def_18,
inference(superposition,[status(thm)],[c_2176,c_7010]) ).
tcf(c_7277,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c6 )
| ( multiply(sk_c3,sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_5359,c_319]) ).
tcf(c_7278,plain,
multiply(sk_c3,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_5359,c_74]) ).
tcf(c_7283,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_5359,c_5266]) ).
tcf(c_7284,plain,
multiply(sk_c3,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_5359,c_5908]) ).
tcf(c_7597,plain,
inverse(iPr_def_17) = sk_c3,
inference(demodulation,[status(thm)],[c_7284,c_5908]) ).
tcf(c_7607,plain,
multiply(sk_c3,sk_c4) = iPr_def_16,
inference(superposition,[status(thm)],[c_2011,c_7283]) ).
tcf(c_7695,plain,
multiply(sk_c1,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_5360,c_74]) ).
tcf(c_7699,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c6 )
| ( multiply(sk_c1,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_5360,c_321]) ).
tcf(c_7700,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_5360,c_5266]) ).
tcf(c_7701,plain,
multiply(sk_c1,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_5360,c_5908]) ).
tcf(c_7712,plain,
( ( identity = iPr_def_21 )
| ( sk_c5 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_836,c_7695]) ).
tcf(c_7713,plain,
( ( identity = iPr_def_21 )
| ( sk_c5 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_835,c_7695]) ).
tcf(c_7846,plain,
( ~ iPr_def_11
| ( inverse(sk_c6) != sk_c5 ) ),
inference(global_subsumption_just,[status(thm)],[c_1214,c_1214,c_6691]) ).
tcf(c_7903,plain,
( ~ iPr_def_11
| ( sk_c5 != identity )
| ( sk_c5 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_1215,c_5929]) ).
tcf(c_7924,plain,
( ( sk_c5 = iPr_def_17 )
| ~ iPr_def_11
| ( identity != iPr_def_21 )
| ( sk_c5 != sk_c4 ) ),
inference(superposition,[status(thm)],[c_338,c_7903]) ).
tcf(c_8065,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_7712,c_314]) ).
tcf(c_8242,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_7713,c_314]) ).
tcf(c_8539,plain,
inverse(iPr_def_20) = sk_c1,
inference(demodulation,[status(thm)],[c_7701,c_5908]) ).
tcf(c_8619,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_13) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_679,c_7700]) ).
tcf(c_8622,plain,
multiply(sk_c1,sk_c6) = iPr_def_21,
inference(superposition,[status(thm)],[c_1988,c_7700]) ).
tcf(c_8631,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c4) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_8619,c_4675]) ).
tcf(c_8962,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8065,c_5266]) ).
tcf(c_9042,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8242,c_5266]) ).
tcf(c_9066,plain,
multiply(sk_c4,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_5361,c_74]) ).
tcf(c_9070,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_15)) != sk_c6 )
| ( multiply(sk_c4,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_5361,c_321]) ).
tcf(c_9072,plain,
multiply(sk_c4,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_5361,c_5908]) ).
tcf(c_9095,plain,
multiply(sk_c6,identity) = multiply(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_9066,c_1703]) ).
tcf(c_9108,plain,
inverse(iPr_def_15) = sk_c4,
inference(demodulation,[status(thm)],[c_9072,c_5908]) ).
tcf(c_9632,plain,
multiply(iPr_def_13,iPr_def_15) = sk_c6,
inference(demodulation,[status(thm)],[c_9095,c_5908]) ).
tcf(c_9633,plain,
multiply(inverse(iPr_def_13),sk_c6) = iPr_def_15,
inference(superposition,[status(thm)],[c_9632,c_5266]) ).
tcf(c_9654,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(inverse(iPr_def_13),iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_329,c_9633]) ).
tcf(c_9658,plain,
multiply(inverse(inverse(iPr_def_13)),iPr_def_15) = sk_c6,
inference(superposition,[status(thm)],[c_9633,c_5266]) ).
tcf(c_9930,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(inverse(inverse(iPr_def_13)),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_9654,c_5266]) ).
tcf(c_11944,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_9930,c_9658,c_9633,c_9632,c_9108,c_9070,c_9072,c_9066,c_9042,c_8962,c_8631,c_8622,c_8539,c_7924,c_7846,c_7699,c_7695,c_7607,c_7597,c_7277,c_7278,c_7216,c_7214,c_7138,c_7036,c_6298,c_5936,c_5934,c_5931,c_5922,c_5920,c_5918,c_5929,c_5347,c_5310,c_5308,c_5279,c_5277,c_5276,c_4914,c_4821,c_4675,c_3634,c_3542,c_3327,c_1391,c_1050,c_780,c_629,c_338,c_326,c_325,c_324,c_323,c_322,c_318,c_316,c_313,c_311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP278-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 14:21:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.09/1.75 % SZS status Started for theBenchmark.p
% 2.09/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.75
% 2.09/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/1.75
% 2.09/1.75 % ------ iProver source info
% 2.09/1.75
% 2.09/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/1.75 % git: non_committed_changes: false
% 2.09/1.75
% 2.09/1.75 % ------ Parsing...% successful
% 2.09/1.75
% 2.09/1.75
% 2.09/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/1.75
% 2.09/1.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.09/1.75
% 2.09/1.75 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.09/1.75
% 2.09/1.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.09/1.75 % ------ Proving...
% 2.09/1.75 % ------ Problem Properties
% 2.09/1.75
% 2.09/1.75 %
% 2.09/1.75 % clauses 36
% 2.09/1.75 % conjectures 24
% 2.09/1.75 % EPR 21
% 2.09/1.75 % Horn 15
% 2.09/1.75 % unary 12
% 2.09/1.75 % binary 20
% 2.09/1.75 % lits 67
% 2.09/1.75 % lits eq 61
% 2.09/1.76 % fd_pure 0
% 2.09/1.76 % fd_pseudo 0
% 2.09/1.76 % fd_cond 0
% 2.09/1.76 % fd_pseudo_cond 0
% 2.09/1.76 % AC symbols 0
% 2.09/1.76
% 2.09/1.76 % ------ Schedule dynamic 5 is on
% 2.09/1.76
% 2.09/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.09/1.76
% 2.09/1.76
% 2.09/1.76 % ------
% 2.09/1.76 % Current options:
% 2.09/1.76 % ------
% 2.09/1.76
% 2.09/1.76
% 2.09/1.76 %
% 2.09/1.76
% 2.09/1.76 % ------ Proving...
% 2.09/1.76 %
% 2.09/1.76
% 2.09/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.76
% 2.09/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/1.76
% 2.09/1.76
%------------------------------------------------------------------------------