%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP681-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 01:35:11 PM UTC 2026
% Result : Unsatisfiable 31.63s 9.83s
% Output : CNFRefutation 31.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 117 ( 117 unt; 4 def)
% Number of atoms : 231 ( 116 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 125 !; 0 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0] : mult(op_d,X0) = mult(X0,op_d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(mult(mult(op_c,op_c),op_d),a) != mult(a,mult(mult(op_c,op_c),op_d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i] : mult(X0,op_c) = mult(op_c,X0),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i] : mult(X0,op_d) = mult(op_d,X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
mult(mult(mult(op_c,op_c),op_d),a) != mult(a,mult(mult(op_c,op_c),op_d)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_103,definition,
iPr_def_10 = mult(op_c,op_c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_104,definition,
iPr_def_11 = mult(iPr_def_10,op_d),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_105,definition,
iPr_def_12 = mult(iPr_def_11,a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,definition,
iPr_def_13 = mult(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_107,negated_conjecture,
iPr_def_12 != iPr_def_13,
inference(demodulation,[status(thm)],[c_68,c_106,c_103,c_104,c_105]) ).
tcf(c_108,plain,
! [X0: $i] : mult(X0,op_d) = mult(op_d,X0),
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_109,plain,
! [X0: $i] : mult(X0,op_c) = mult(op_c,X0),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_111,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_112,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_189,plain,
rd(iPr_def_10,op_c) = op_c,
inference(superposition,[status(thm)],[c_103,c_113]) ).
tcf(c_214,plain,
mult(op_c,op_c) = iPr_def_10,
inference(superposition,[status(thm)],[c_189,c_114]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_111,c_110]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_560,c_111]) ).
tcf(c_639,plain,
! [X0: $i] : mult(op_c,mult(op_c,X0)) = mult(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_214,c_588]) ).
tcf(c_689,plain,
! [X0: $i] : mult(op_c,mult(X0,op_c)) = mult(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_109,c_639]) ).
tcf(c_742,plain,
! [X0: $i] : mult(op_c,mult(iPr_def_10,X0)) = mult(iPr_def_10,mult(X0,op_c)),
inference(superposition,[status(thm)],[c_689,c_639]) ).
tcf(c_1889,plain,
rd(iPr_def_10,op_c) = op_c,
inference(superposition,[status(thm)],[c_103,c_113]) ).
tcf(c_1900,plain,
mult(op_c,op_c) = iPr_def_10,
inference(superposition,[status(thm)],[c_1889,c_114]) ).
tcf(c_2059,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_10,X0),op_c)) = mult(op_c,X0),
inference(superposition,[status(thm)],[c_116,c_742]) ).
tcf(c_2067,plain,
! [X0: $i] : mult(iPr_def_10,mult(op_c,ld(iPr_def_10,X0))) = mult(op_c,X0),
inference(demodulation,[status(thm)],[c_2059,c_109]) ).
tcf(c_2126,plain,
! [X0: $i] : mult(op_c,mult(iPr_def_10,X0)) = mult(iPr_def_10,mult(op_c,X0)),
inference(superposition,[status(thm)],[c_115,c_2067]) ).
tcf(c_2813,plain,
! [X0: $i] : mult(mult(iPr_def_10,mult(op_c,op_c)),X0) = mult(op_c,mult(iPr_def_10,mult(op_c,X0))),
inference(superposition,[status(thm)],[c_2126,c_110]) ).
tcf(c_2877,plain,
! [X0: $i] : mult(iPr_def_10,mult(op_c,mult(op_c,X0))) = mult(mult(iPr_def_10,iPr_def_10),X0),
inference(demodulation,[status(thm)],[c_2813,c_1900,c_2126]) ).
tcf(c_22301,plain,
! [X0: $i] : rd(mult(op_d,X0),op_d) = X0,
inference(superposition,[status(thm)],[c_108,c_113]) ).
tcf(c_22302,plain,
rd(iPr_def_10,op_c) = op_c,
inference(superposition,[status(thm)],[c_103,c_113]) ).
tcf(c_22303,plain,
rd(iPr_def_11,op_d) = iPr_def_10,
inference(superposition,[status(thm)],[c_104,c_113]) ).
tcf(c_22304,plain,
rd(iPr_def_12,a) = iPr_def_11,
inference(superposition,[status(thm)],[c_105,c_113]) ).
tcf(c_22313,plain,
mult(op_c,op_c) = iPr_def_10,
inference(superposition,[status(thm)],[c_22302,c_114]) ).
tcf(c_22314,plain,
mult(iPr_def_10,op_d) = iPr_def_11,
inference(superposition,[status(thm)],[c_22303,c_114]) ).
tcf(c_22315,plain,
mult(iPr_def_11,a) = iPr_def_12,
inference(superposition,[status(thm)],[c_22304,c_114]) ).
tcf(c_22327,plain,
! [X0: $i] : ld(op_c,mult(X0,op_c)) = X0,
inference(superposition,[status(thm)],[c_109,c_115]) ).
tcf(c_22376,plain,
! [X0: $i] : ld(op_d,X0) = rd(X0,op_d),
inference(superposition,[status(thm)],[c_116,c_22301]) ).
tcf(c_22471,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_10,X0),op_c)) = mult(op_c,X0),
inference(superposition,[status(thm)],[c_116,c_742]) ).
tcf(c_22479,plain,
! [X0: $i] : mult(iPr_def_10,mult(op_c,ld(iPr_def_10,X0))) = mult(op_c,X0),
inference(demodulation,[status(thm)],[c_22471,c_109]) ).
tcf(c_22540,plain,
! [X0: $i] : ld(iPr_def_10,mult(op_c,X0)) = mult(op_c,ld(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_22479,c_115]) ).
tcf(c_22544,plain,
! [X0: $i] : mult(iPr_def_10,mult(mult(op_c,ld(iPr_def_10,X0)),op_c)) = mult(op_c,mult(op_c,X0)),
inference(superposition,[status(thm)],[c_22479,c_742]) ).
tcf(c_22545,plain,
! [X0: $i] : mult(mult(iPr_def_10,iPr_def_10),ld(iPr_def_10,X0)) = mult(op_c,mult(op_c,X0)),
inference(demodulation,[status(thm)],[c_22544,c_109,c_2877]) ).
tcf(c_22699,plain,
! [X0: $i] : ld(iPr_def_10,mult(X0,op_c)) = mult(op_c,ld(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_109,c_22540]) ).
tcf(c_22857,plain,
! [X0: $i] : mult(iPr_def_10,mult(op_c,mult(op_c,ld(iPr_def_10,X0)))) = mult(op_c,mult(X0,op_c)),
inference(superposition,[status(thm)],[c_22699,c_22479]) ).
tcf(c_22858,plain,
! [X0: $i] : mult(op_c,mult(X0,op_c)) = mult(op_c,mult(op_c,X0)),
inference(demodulation,[status(thm)],[c_22857,c_2877,c_22545]) ).
tcf(c_23167,plain,
! [X0: $i] : ld(iPr_def_10,mult(mult(iPr_def_10,iPr_def_10),X0)) = mult(op_c,mult(op_c,X0)),
inference(superposition,[status(thm)],[c_2877,c_115]) ).
tcf(c_23202,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(rd(X1,X0),mult(X0,X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_114,c_110]) ).
tcf(c_23204,plain,
! [X0: $i,X1: $i] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[status(thm)],[c_111,c_110]) ).
tcf(c_23210,plain,
! [X0: $i] : mult(op_c,mult(op_c,mult(op_c,X0))) = mult(mult(op_c,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_22313,c_110]) ).
tcf(c_23254,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(X0,op_c))) = mult(op_c,mult(X0,mult(X1,X0))),
inference(superposition,[status(thm)],[c_110,c_109]) ).
tcf(c_23259,plain,
! [X0: $i] : mult(op_c,mult(op_c,mult(op_c,X0))) = mult(mult(iPr_def_10,op_c),X0),
inference(demodulation,[status(thm)],[c_23210,c_109]) ).
tcf(c_23260,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_23204,c_111]) ).
tcf(c_23421,plain,
! [X0: $i] : mult(op_c,mult(X0,mult(op_c,op_c))) = mult(op_c,mult(op_c,mult(op_c,X0))),
inference(superposition,[status(thm)],[c_109,c_23254]) ).
tcf(c_23473,plain,
! [X0: $i] : mult(mult(iPr_def_10,op_c),X0) = mult(op_c,mult(X0,iPr_def_10)),
inference(demodulation,[status(thm)],[c_23421,c_22313,c_23259]) ).
tcf(c_23553,plain,
! [X0: $i] : mult(op_c,mult(op_c,mult(op_c,X0))) = mult(op_c,mult(X0,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_23259,c_23473]) ).
tcf(c_23571,plain,
! [X0: $i] : ld(op_c,mult(op_c,mult(X0,iPr_def_10))) = mult(op_c,mult(op_c,X0)),
inference(superposition,[status(thm)],[c_23553,c_115]) ).
tcf(c_23591,plain,
! [X0: $i] : mult(op_c,mult(op_c,X0)) = mult(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_23571,c_115]) ).
tcf(c_23622,plain,
! [X0: $i] : ld(iPr_def_10,mult(mult(iPr_def_10,iPr_def_10),X0)) = mult(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_23167,c_23591]) ).
tcf(c_23625,plain,
! [X0: $i] : mult(op_c,mult(X0,op_c)) = mult(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_22858,c_23591]) ).
tcf(c_23630,plain,
! [X0: $i] : mult(X0,iPr_def_10) = mult(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_23622,c_115,c_23260]) ).
tcf(c_23663,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(X0,iPr_def_10))) = mult(iPr_def_10,mult(X0,mult(X1,X0))),
inference(superposition,[status(thm)],[c_23630,c_110]) ).
tcf(c_23837,plain,
! [X0: $i] : mult(ld(op_c,X0),iPr_def_10) = mult(op_c,X0),
inference(superposition,[status(thm)],[c_116,c_23591]) ).
tcf(c_23865,plain,
! [X0: $i] : mult(iPr_def_10,ld(op_c,X0)) = mult(op_c,X0),
inference(demodulation,[status(thm)],[c_23837,c_23630]) ).
tcf(c_23962,plain,
! [X0: $i,X1: $i] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_23625,c_110]) ).
tcf(c_24066,plain,
! [X0: $i] : mult(op_c,mult(X0,op_c)) = mult(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_22327,c_23865]) ).
tcf(c_24453,plain,
! [X0: $i,X1: $i] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_24066,c_110]) ).
tcf(c_26505,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(mult(X0,X1),X2)) = mult(rd(X1,X0),mult(X0,X2)),
inference(superposition,[status(thm)],[c_23202,c_115]) ).
tcf(c_27316,plain,
! [X0: $i,X1: $i] : mult(op_c,mult(X0,mult(X1,op_c))) = mult(mult(X0,iPr_def_10),X1),
inference(superposition,[status(thm)],[c_109,c_23962]) ).
tcf(c_27370,plain,
! [X0: $i,X1: $i] : mult(mult(X0,iPr_def_10),X1) = mult(mult(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_23962,c_24453]) ).
tcf(c_27457,plain,
! [X0: $i,X1: $i] : mult(rd(unit,X0),mult(X0,X1)) = ld(X0,mult(X0,X1)),
inference(superposition,[status(thm)],[c_112,c_26505]) ).
tcf(c_27557,plain,
! [X0: $i,X1: $i] : mult(rd(unit,X0),mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_27457,c_115]) ).
tcf(c_27676,plain,
! [X0: $i] : mult(ld(op_d,unit),mult(op_d,X0)) = X0,
inference(superposition,[status(thm)],[c_22376,c_27557]) ).
tcf(c_27682,plain,
! [X0: $i,X1: $i] : mult(rd(unit,X0),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_116,c_27557]) ).
tcf(c_27688,plain,
! [X0: $i] : mult(rd(unit,X0),mult(op_c,X0)) = op_c,
inference(superposition,[status(thm)],[c_109,c_27557]) ).
tcf(c_27877,plain,
! [X0: $i] : mult(ld(op_d,unit),X0) = ld(op_d,X0),
inference(superposition,[status(thm)],[c_116,c_27676]) ).
tcf(c_27895,plain,
! [X0: $i] : ld(ld(op_d,unit),X0) = mult(op_d,X0),
inference(superposition,[status(thm)],[c_27676,c_115]) ).
tcf(c_27903,plain,
mult(op_c,mult(ld(op_d,unit),mult(op_d,ld(op_d,unit)))) = mult(ld(op_d,unit),op_c),
inference(superposition,[status(thm)],[c_27676,c_23254]) ).
tcf(c_27919,plain,
mult(op_c,ld(op_d,unit)) = ld(op_d,op_c),
inference(demodulation,[status(thm)],[c_27903,c_27676,c_27877]) ).
tcf(c_28263,plain,
! [X0: $i] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[status(thm)],[c_27682,c_112]) ).
tcf(c_28349,plain,
! [X0: $i] : mult(iPr_def_10,rd(unit,X0)) = ld(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_27682,c_23630]) ).
tcf(c_28353,plain,
! [X0: $i] : mult(iPr_def_10,ld(X0,unit)) = ld(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_28349,c_28263]) ).
tcf(c_28625,plain,
! [X0: $i] : mult(ld(X0,unit),mult(op_c,X0)) = op_c,
inference(light_normalisation,[status(thm)],[c_27688,c_28263]) ).
tcf(c_28666,plain,
! [X0: $i] : mult(mult(iPr_def_10,ld(X0,unit)),X0) = mult(op_c,op_c),
inference(superposition,[status(thm)],[c_28625,c_24453]) ).
tcf(c_28668,plain,
! [X0: $i] : mult(ld(X0,iPr_def_10),X0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_28666,c_22313,c_28353]) ).
tcf(c_29320,plain,
mult(mult(op_d,iPr_def_10),ld(op_d,unit)) = iPr_def_10,
inference(superposition,[status(thm)],[c_27895,c_28668]) ).
tcf(c_29321,plain,
mult(iPr_def_11,ld(op_d,unit)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_29320,c_22314,c_27370]) ).
tcf(c_29324,plain,
ld(op_d,unit) = ld(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_29321,c_115]) ).
tcf(c_29338,plain,
mult(op_d,ld(iPr_def_11,iPr_def_10)) = unit,
inference(superposition,[status(thm)],[c_29324,c_116]) ).
tcf(c_29348,plain,
! [X0: $i] : mult(mult(op_d,X0),ld(iPr_def_11,iPr_def_10)) = mult(op_d,mult(rd(X0,op_d),unit)),
inference(superposition,[status(thm)],[c_29338,c_23202]) ).
tcf(c_29355,plain,
! [X0: $i] : mult(mult(op_d,X0),ld(iPr_def_11,iPr_def_10)) = X0,
inference(demodulation,[status(thm)],[c_29348,c_116,c_112,c_22376]) ).
tcf(c_29357,plain,
mult(op_c,ld(iPr_def_11,iPr_def_10)) = ld(op_d,op_c),
inference(light_normalisation,[status(thm)],[c_27919,c_29324]) ).
tcf(c_29385,plain,
! [X0: $i] : mult(mult(iPr_def_10,X0),ld(iPr_def_11,iPr_def_10)) = mult(op_c,mult(X0,ld(op_d,op_c))),
inference(superposition,[status(thm)],[c_29357,c_24453]) ).
tcf(c_32249,plain,
! [X0: $i] : mult(mult(iPr_def_10,mult(op_d,mult(X0,op_d))),ld(iPr_def_11,iPr_def_10)) = mult(X0,mult(op_d,iPr_def_10)),
inference(superposition,[status(thm)],[c_23663,c_29355]) ).
tcf(c_32351,plain,
! [X0: $i] : mult(X0,iPr_def_11) = mult(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_32249,c_116,c_110,c_108,c_22314,c_27370,c_27316,c_29385]) ).
tcf(c_32426,plain,
mult(iPr_def_11,a) = iPr_def_13,
inference(demodulation,[status(thm)],[c_106,c_32351]) ).
tcf(c_32427,plain,
iPr_def_12 = iPr_def_13,
inference(demodulation,[status(thm)],[c_32426,c_22315]) ).
tcf(c_32428,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32427,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP681-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.40 % Computer : n019.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Wed Sep 23 15:41:18 UTC 2026
% 0.11/5.40 % CPUTime :
% 0.11/5.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.44 Running UEQ theorem proving
% 0.11/5.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.45
% 0.11/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.11/5.45
% 0.11/5.45 % Detected problem language: tptp
% 0.11/5.46 % Proving...
% 31.63/9.83 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 31.63/9.83 % SZS status Started for theBenchmark.p
% 31.63/9.83 % SZS status Unsatisfiable for theBenchmark.p
% 31.63/9.83
% 31.63/9.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.63/9.83
% 31.63/9.83 % ------ iProver source info
% 31.63/9.83
% 31.63/9.83 % git: date: 2026-07-19 20:42:38 +0200
% 31.63/9.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.63/9.83 % git: non_committed_changes: false
% 31.63/9.83
% 31.63/9.83 % ------ Parsing...% successful
% 31.63/9.83
% 31.63/9.83
% 31.63/9.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 31.63/9.83
% 31.63/9.83 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 31.63/9.83
% 31.63/9.83 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 31.63/9.83
% 31.63/9.83 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 31.63/9.83 % ------ Proving...
% 31.63/9.83 % ------ Problem Properties
% 31.63/9.83
% 31.63/9.83 %
% 31.63/9.83 % clauses 14
% 31.63/9.83 % conjectures 1
% 31.63/9.83 % EPR 1
% 31.63/9.83 % Horn 14
% 31.63/9.83 % unary 14
% 31.63/9.83 % binary 0
% 31.63/9.83 % lits 14
% 31.63/9.83 % lits eq 14
% 31.63/9.83 % fd_pure 0
% 31.63/9.83 % fd_pseudo 0
% 31.63/9.83 % fd_cond 0
% 31.63/9.83 % fd_pseudo_cond 0
% 31.63/9.83 % AC symbols 0
% 31.63/9.83
% 31.63/9.83 % ------ Input Options Time Limit: Unbounded
% 31.63/9.83
% 31.63/9.83
% 31.63/9.83 % ------
% 31.63/9.83 % Current options:
% 31.63/9.83 % ------
% 31.63/9.83
% 31.63/9.83
% 31.63/9.83 %
% 31.63/9.83
% 31.63/9.83 % ------ Proving...
% 31.63/9.83 %
% 31.63/9.83
% 31.63/9.83 % SZS status Unsatisfiable for theBenchmark.p
% 31.63/9.83
% 31.63/9.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.63/9.84
% 31.63/9.84
%------------------------------------------------------------------------------