%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP660-13 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:35:06 PM UTC 2026
% Result : Unsatisfiable 3.35s 2.61s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 120 ( 120 unt; 2 def)
% Number of atoms : 363 ( 119 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 134 !; 0 ?; 123 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(x0,ld(x1,x1)),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_83,definition,
iPr_def_10 = ld(x1,x1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_84,definition,
iPr_def_11 = mult(x0,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_85,negated_conjecture,
iPr_def_11 != x0,
inference(demodulation,[status(thm)],[c_60,c_83,c_84]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_140,plain,
rd(iPr_def_11,iPr_def_10) = x0,
inference(superposition,[status(thm)],[c_84,c_87]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_88,c_89]) ).
tcf(c_143,plain,
mult(x1,iPr_def_10) = x1,
inference(superposition,[status(thm)],[c_83,c_90]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_90,c_87]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[status(thm)],[c_86,c_89]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_86,c_87]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,mult(X2,X0))),mult(X0,X1)) = mult(mult(X0,X1),mult(X2,mult(X0,mult(X0,X1)))),
inference(superposition,[status(thm)],[c_86,c_86]) ).
tcf(c_166,plain,
mult(x0,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_140,c_88]) ).
tcf(c_200,plain,
ld(x1,x1) = iPr_def_10,
inference(superposition,[status(thm)],[c_143,c_89]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_145,c_89]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_88,c_147]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_147,c_89]) ).
tcf(c_308,plain,
! [X0: $i] : ld(mult(mult(iPr_def_10,X0),x1),mult(iPr_def_10,mult(X0,x1))) = iPr_def_10,
inference(superposition,[status(thm)],[c_143,c_152]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,mult(X2,X0))),X2) = rd(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_88,c_153]) ).
tcf(c_962,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_11,X0),x0)) = ld(x0,mult(X0,x0)),
inference(superposition,[status(thm)],[c_166,c_240]) ).
tcf(c_964,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(x1,X0),x1)) = ld(x1,mult(X0,x1)),
inference(superposition,[status(thm)],[c_143,c_240]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_240,c_89]) ).
tcf(c_1167,plain,
! [X0: $i] : ld(mult(mult(iPr_def_10,rd(X0,x1)),x1),mult(iPr_def_10,X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_88,c_308]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,rd(X1,X2)),mult(X2,X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_88,c_279]) ).
tcf(c_1229,plain,
! [X0: $i] : mult(ld(X0,x0),mult(iPr_def_10,X0)) = ld(X0,mult(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_166,c_279]) ).
tcf(c_1231,plain,
! [X0: $i] : mult(ld(X0,x1),mult(iPr_def_10,X0)) = ld(X0,mult(x1,X0)),
inference(superposition,[status(thm)],[c_143,c_279]) ).
tcf(c_1251,plain,
! [X0: $i] : ld(mult(x1,mult(ld(x1,iPr_def_10),X0)),mult(iPr_def_10,X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1167,c_270]) ).
tcf(c_1663,plain,
! [X0: $i] : rd(ld(x0,mult(X0,x0)),mult(ld(iPr_def_11,X0),x0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_962,c_87]) ).
tcf(c_1681,plain,
ld(x1,mult(x1,x1)) = mult(iPr_def_10,mult(iPr_def_10,x1)),
inference(superposition,[status(thm)],[c_200,c_964]) ).
tcf(c_1733,plain,
! [X0: $i] : rd(ld(X0,mult(iPr_def_11,X0)),mult(iPr_def_10,X0)) = ld(X0,x0),
inference(superposition,[status(thm)],[c_1229,c_87]) ).
tcf(c_1748,plain,
! [X0: $i] : ld(mult(x1,X0),mult(iPr_def_10,ld(ld(x1,iPr_def_10),X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_90,c_1251]) ).
tcf(c_1903,plain,
mult(iPr_def_10,mult(iPr_def_10,x1)) = x1,
inference(demodulation,[status(thm)],[c_1681,c_89]) ).
tcf(c_2113,plain,
ld(iPr_def_10,x1) = mult(iPr_def_10,x1),
inference(superposition,[status(thm)],[c_1903,c_89]) ).
tcf(c_2204,plain,
rd(x0,mult(ld(iPr_def_11,x0),x0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_89,c_1663]) ).
tcf(c_2244,plain,
rd(iPr_def_11,mult(iPr_def_10,iPr_def_11)) = ld(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_89,c_1733]) ).
tcf(c_2272,plain,
! [X0: $i] : mult(iPr_def_10,ld(ld(x1,iPr_def_10),X0)) = mult(mult(x1,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_1748,c_90]) ).
tcf(c_2578,plain,
mult(mult(iPr_def_10,x1),mult(iPr_def_10,iPr_def_10)) = ld(iPr_def_10,mult(x1,iPr_def_10)),
inference(superposition,[status(thm)],[c_2113,c_1231]) ).
tcf(c_2593,plain,
mult(ld(iPr_def_11,x0),x0) = ld(iPr_def_10,x0),
inference(superposition,[status(thm)],[c_2204,c_141]) ).
tcf(c_2599,plain,
ld(ld(iPr_def_11,x0),iPr_def_11) = mult(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_2244,c_141]) ).
tcf(c_2739,plain,
! [X0: $i] : ld(iPr_def_10,mult(mult(x1,X0),iPr_def_10)) = ld(ld(x1,iPr_def_10),X0),
inference(superposition,[status(thm)],[c_2272,c_89]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i] : mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_89,c_979]) ).
tcf(c_2876,plain,
! [X0: $i] : mult(mult(iPr_def_10,x1),mult(X0,iPr_def_10)) = ld(ld(x1,iPr_def_10),X0),
inference(demodulation,[status(thm)],[c_2739,c_279,c_2113]) ).
tcf(c_2880,plain,
ld(ld(x1,iPr_def_10),iPr_def_10) = ld(iPr_def_10,mult(x1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_2578,c_2876]) ).
tcf(c_2881,plain,
ld(ld(x1,iPr_def_10),iPr_def_10) = mult(iPr_def_10,x1),
inference(demodulation,[status(thm)],[c_2880,c_143,c_2113]) ).
tcf(c_3439,plain,
ld(ld(iPr_def_11,x0),ld(iPr_def_10,x0)) = x0,
inference(superposition,[status(thm)],[c_2593,c_89]) ).
tcf(c_3471,plain,
mult(ld(x1,iPr_def_10),mult(iPr_def_10,x1)) = iPr_def_10,
inference(superposition,[status(thm)],[c_2881,c_90]) ).
tcf(c_3472,plain,
rd(iPr_def_10,mult(iPr_def_10,x1)) = ld(x1,iPr_def_10),
inference(superposition,[status(thm)],[c_2881,c_144]) ).
tcf(c_3479,plain,
! [X0: $i,X1: $i] : ld(ld(X0,X1),X0) = mult(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_90,c_2825]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i] : mult(ld(X0,rd(X0,X1)),rd(X0,X1)) = ld(X1,rd(X0,X1)),
inference(superposition,[status(thm)],[c_88,c_2825]) ).
tcf(c_3503,plain,
ld(mult(iPr_def_10,x1),iPr_def_10) = mult(ld(x1,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_1903,c_2825]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] : ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_2825,c_87]) ).
tcf(c_3584,plain,
! [X0: $i] : ld(ld(x1,iPr_def_10),rd(X0,iPr_def_10)) = mult(mult(iPr_def_10,x1),X0),
inference(superposition,[status(thm)],[c_88,c_2876]) ).
tcf(c_3600,plain,
! [X0: $i] : ld(mult(iPr_def_10,x1),ld(ld(x1,iPr_def_10),X0)) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_2876,c_89]) ).
tcf(c_3623,plain,
! [X0: $i] : ld(ld(x1,iPr_def_10),ld(mult(iPr_def_10,mult(iPr_def_10,x1)),X0)) = ld(iPr_def_10,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_2876,c_240]) ).
tcf(c_3629,plain,
mult(ld(x1,iPr_def_10),iPr_def_10) = rd(ld(x1,iPr_def_10),iPr_def_10),
inference(demodulation,[status(thm)],[c_3503,c_3516]) ).
tcf(c_3638,plain,
! [X0: $i] : ld(ld(x1,iPr_def_10),ld(x1,X0)) = ld(iPr_def_10,mult(X0,iPr_def_10)),
inference(demodulation,[status(thm)],[c_3623,c_1903]) ).
tcf(c_4667,plain,
! [X0: $i] : mult(ld(x1,iPr_def_10),mult(mult(iPr_def_10,x1),X0)) = rd(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_3584,c_90]) ).
tcf(c_4674,plain,
! [X0: $i] : mult(mult(ld(x1,iPr_def_10),X0),iPr_def_10) = ld(mult(iPr_def_10,x1),X0),
inference(superposition,[status(thm)],[c_89,c_3600]) ).
tcf(c_5100,plain,
! [X0: $i] : mult(mult(ld(x1,iPr_def_10),mult(iPr_def_10,x1)),mult(X0,mult(ld(x1,iPr_def_10),mult(ld(x1,iPr_def_10),mult(iPr_def_10,x1))))) = mult(rd(mult(X0,ld(x1,iPr_def_10)),iPr_def_10),mult(ld(x1,iPr_def_10),mult(iPr_def_10,x1))),
inference(superposition,[status(thm)],[c_4667,c_154]) ).
tcf(c_5136,plain,
! [X0: $i] : ld(mult(ld(x1,iPr_def_10),X0),ld(mult(iPr_def_10,x1),X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4674,c_89]) ).
tcf(c_5192,plain,
mult(mult(ld(x1,iPr_def_10),iPr_def_10),iPr_def_10) = ld(x1,iPr_def_10),
inference(superposition,[status(thm)],[c_3629,c_88]) ).
tcf(c_5196,plain,
ld(ld(x1,iPr_def_10),mult(ld(x1,iPr_def_10),iPr_def_10)) = mult(mult(iPr_def_10,x1),ld(x1,iPr_def_10)),
inference(superposition,[status(thm)],[c_3629,c_3584]) ).
tcf(c_5359,plain,
mult(ld(x1,iPr_def_10),iPr_def_10) = ld(x1,iPr_def_10),
inference(demodulation,[status(thm)],[c_5192,c_3516,c_3629,c_4674]) ).
tcf(c_5368,plain,
ld(ld(x1,iPr_def_10),ld(x1,iPr_def_10)) = mult(mult(iPr_def_10,x1),ld(x1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_5196,c_5359]) ).
tcf(c_5369,plain,
mult(mult(iPr_def_10,x1),ld(x1,iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5368,c_89,c_3638]) ).
tcf(c_5417,plain,
! [X0: $i] : mult(iPr_def_10,mult(X0,mult(ld(x1,iPr_def_10),iPr_def_10))) = mult(X0,ld(x1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_5100,c_88,c_3471]) ).
tcf(c_5870,plain,
! [X0: $i] : ld(mult(ld(x1,iPr_def_10),mult(mult(iPr_def_10,x1),X0)),X0) = iPr_def_10,
inference(superposition,[status(thm)],[c_89,c_5136]) ).
tcf(c_5911,plain,
! [X0: $i] : mult(mult(iPr_def_10,rd(X0,ld(x1,iPr_def_10))),ld(x1,iPr_def_10)) = rd(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_5359,c_369]) ).
tcf(c_5944,plain,
rd(iPr_def_10,ld(x1,iPr_def_10)) = mult(iPr_def_10,x1),
inference(superposition,[status(thm)],[c_5369,c_87]) ).
tcf(c_5948,plain,
mult(iPr_def_10,mult(x1,mult(ld(x1,iPr_def_10),iPr_def_10))) = mult(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_5369,c_86]) ).
tcf(c_6188,plain,
mult(iPr_def_10,x1) = x1,
inference(demodulation,[status(thm)],[c_5944,c_144]) ).
tcf(c_6212,plain,
mult(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5948,c_90,c_5417]) ).
tcf(c_6216,plain,
! [X0: $i] : ld(mult(ld(x1,iPr_def_10),mult(x1,X0)),X0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_5870,c_6188]) ).
tcf(c_6269,plain,
! [X0: $i] : rd(mult(iPr_def_10,X0),iPr_def_10) = rd(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_5911,c_270,c_2881,c_4667]) ).
tcf(c_6532,plain,
ld(x1,iPr_def_10) = rd(iPr_def_10,x1),
inference(superposition,[status(thm)],[c_6188,c_3472]) ).
tcf(c_6578,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,mult(ld(iPr_def_10,X0),iPr_def_10))) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_6212,c_145]) ).
tcf(c_6579,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,mult(X0,iPr_def_10))) = mult(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_6212,c_86]) ).
tcf(c_6585,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,iPr_def_10)),iPr_def_10) = mult(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_6212,c_153]) ).
tcf(c_6675,plain,
! [X0: $i] : mult(ld(X0,mult(ld(x1,iPr_def_10),mult(x1,X0))),mult(ld(x1,iPr_def_10),mult(x1,X0))) = ld(iPr_def_10,mult(ld(x1,iPr_def_10),mult(x1,X0))),
inference(superposition,[status(thm)],[c_6216,c_3479]) ).
tcf(c_6680,plain,
! [X0: $i] : mult(ld(x1,iPr_def_10),mult(x1,X0)) = rd(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_6216,c_144]) ).
tcf(c_6746,plain,
! [X0: $i] : mult(rd(iPr_def_10,x1),mult(x1,X0)) = rd(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_6680,c_6532]) ).
tcf(c_6775,plain,
! [X0: $i] : mult(mult(iPr_def_10,X0),iPr_def_10) = X0,
inference(demodulation,[status(thm)],[c_6585,c_87,c_6269]) ).
tcf(c_6777,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,mult(X0,iPr_def_10))) = X0,
inference(demodulation,[status(thm)],[c_6579,c_6775]) ).
tcf(c_6778,plain,
! [X0: $i] : ld(iPr_def_10,X0) = mult(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_6578,c_6777]) ).
tcf(c_6854,plain,
! [X0: $i] : mult(ld(X0,rd(X0,iPr_def_10)),rd(X0,iPr_def_10)) = mult(rd(X0,iPr_def_10),iPr_def_10),
inference(demodulation,[status(thm)],[c_6675,c_6532,c_6746,c_6778]) ).
tcf(c_6855,plain,
! [X0: $i] : ld(iPr_def_10,rd(X0,iPr_def_10)) = X0,
inference(demodulation,[status(thm)],[c_6854,c_88,c_3480]) ).
tcf(c_7347,plain,
! [X0: $i] : mult(ld(iPr_def_10,rd(X0,iPr_def_10)),iPr_def_10) = ld(iPr_def_10,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_6212,c_1227]) ).
tcf(c_7400,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),iPr_def_10) = mult(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_7347,c_6778,c_6855]) ).
tcf(c_7829,plain,
! [X0: $i,X1: $i] : mult(X0,mult(ld(mult(iPr_def_10,X0),X1),iPr_def_10)) = mult(mult(X1,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_145,c_6775]) ).
tcf(c_7875,plain,
! [X0: $i,X1: $i] : mult(ld(mult(iPr_def_10,X0),mult(iPr_def_10,X1)),iPr_def_10) = ld(X0,ld(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_6775,c_979]) ).
tcf(c_7898,plain,
! [X0: $i] : mult(iPr_def_10,mult(X0,iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_6778,c_90]) ).
tcf(c_7904,plain,
! [X0: $i,X1: $i] : ld(X0,mult(mult(X1,iPr_def_10),iPr_def_10)) = mult(ld(mult(iPr_def_10,X0),X1),iPr_def_10),
inference(superposition,[status(thm)],[c_6778,c_979]) ).
tcf(c_7915,plain,
ld(ld(iPr_def_11,x0),mult(x0,iPr_def_10)) = x0,
inference(superposition,[status(thm)],[c_6778,c_3439]) ).
tcf(c_7937,plain,
mult(iPr_def_10,iPr_def_11) = x0,
inference(demodulation,[status(thm)],[c_7915,c_166,c_2599]) ).
tcf(c_7974,plain,
! [X0: $i,X1: $i] : mult(ld(mult(iPr_def_10,X0),X1),iPr_def_10) = ld(X0,mult(X1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_7904,c_7400]) ).
tcf(c_7977,plain,
! [X0: $i,X1: $i] : ld(X0,mult(mult(iPr_def_10,X1),iPr_def_10)) = ld(X0,ld(iPr_def_10,X1)),
inference(demodulation,[status(thm)],[c_7875,c_7974]) ).
tcf(c_7978,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X1,iPr_def_10)) = ld(X0,X1),
inference(demodulation,[status(thm)],[c_7977,c_6775,c_6778]) ).
tcf(c_7992,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = mult(mult(X1,iPr_def_10),iPr_def_10),
inference(demodulation,[status(thm)],[c_7829,c_7974,c_7978]) ).
tcf(c_7993,plain,
! [X0: $i] : mult(X0,iPr_def_10) = X0,
inference(demodulation,[status(thm)],[c_7992,c_90,c_7400]) ).
tcf(c_8551,plain,
! [X0: $i] : mult(iPr_def_10,X0) = X0,
inference(light_normalisation,[status(thm)],[c_7898,c_7993]) ).
tcf(c_8679,plain,
x0 = iPr_def_11,
inference(superposition,[status(thm)],[c_8551,c_7937]) ).
tcf(c_9254,plain,
$false,
inference(superposition,[status(thm)],[c_8679,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP660-13 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 15:32:43 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running UEQ theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 3.35/2.61 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.35/2.61 % SZS status Started for theBenchmark.p
% 3.35/2.61 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/2.61
% 3.35/2.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/2.61
% 3.35/2.61 % ------ iProver source info
% 3.35/2.61
% 3.35/2.61 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/2.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/2.61 % git: non_committed_changes: false
% 3.35/2.61
% 3.35/2.61 % ------ Parsing...% successful
% 3.35/2.61
% 3.35/2.61
% 3.35/2.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/2.61
% 3.35/2.61 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.35/2.61
% 3.35/2.61 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.35/2.61
% 3.35/2.61 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.35/2.61 % ------ Proving...
% 3.35/2.61 % ------ Problem Properties
% 3.35/2.61
% 3.35/2.61 %
% 3.35/2.61 % clauses 8
% 3.35/2.61 % conjectures 1
% 3.35/2.61 % EPR 1
% 3.35/2.61 % Horn 8
% 3.35/2.61 % unary 8
% 3.35/2.61 % binary 0
% 3.35/2.61 % lits 8
% 3.35/2.61 % lits eq 8
% 3.35/2.61 % fd_pure 0
% 3.35/2.61 % fd_pseudo 0
% 3.35/2.61 % fd_cond 0
% 3.35/2.61 % fd_pseudo_cond 0
% 3.35/2.61 % AC symbols 0
% 3.35/2.61
% 3.35/2.61 % ------ Input Options Time Limit: Unbounded
% 3.35/2.61
% 3.35/2.61
% 3.35/2.61 % ------
% 3.35/2.61 % Current options:
% 3.35/2.61 % ------
% 3.35/2.61
% 3.35/2.61
% 3.35/2.61 %
% 3.35/2.61
% 3.35/2.61 % ------ Proving...
% 3.35/2.61 %
% 3.35/2.61
% 3.35/2.61 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/2.61
% 3.35/2.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/2.62
% 3.35/2.62
%------------------------------------------------------------------------------