%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 : Tue Sep 29 09:19:32 AM UTC 2026
% Result : Unsatisfiable 11.31s 2.16s
% Output : Refutation 11.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 147 ( 147 unt; 8 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,mult(X0,X1))),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : mult(mult(X0,mult(X1,mult(X2,X1))),X3) = mult(X0,mult(X3,mult(mult(X2,X1),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f5,negated_conjecture,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f6,definition,
sF0 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
mult(a,b) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = mult(d,e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
mult(d,e) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = mult(c,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
mult(c,sF1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = mult(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
mult(sF0,sF2) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = mult(d,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
mult(d,b) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = mult(sF4,e),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
mult(sF4,e) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF6 = mult(c,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f19,plain,
mult(c,sF5) = sF6,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF7 = mult(a,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f21,plain,
mult(a,sF6) = sF7,
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
sF3 != sF7,
inference(definition_folding,[],[f5,f21,f19,f17,f15,f13,f11,f9,f7]) ).
fof(f23,plain,
mult(c,mult(d,e)) = sF2,
inference(forward_demodulation,[],[f11,f9]) ).
fof(f25,plain,
sF0 = mult(a,mult(b,sF0)),
inference(superposition,[],[f2,f7]) ).
fof(f27,plain,
sF6 = mult(c,mult(sF5,sF6)),
inference(superposition,[],[f2,f19]) ).
fof(f29,plain,
sF4 = mult(d,mult(b,sF4)),
inference(superposition,[],[f2,f15]) ).
fof(f30,plain,
sF3 = mult(sF0,mult(sF2,sF3)),
inference(superposition,[],[f2,f13]) ).
fof(f31,plain,
sF5 = mult(sF4,mult(e,sF5)),
inference(superposition,[],[f2,f17]) ).
fof(f34,plain,
sF6 = mult(c,mult(mult(sF5,sF6),sF6)),
inference(superposition,[],[f2,f27]) ).
fof(f121,plain,
! [X0,X1] : mult(a,mult(X1,mult(X0,b))) = mult(X0,mult(X1,sF0)),
inference(superposition,[],[f3,f7]) ).
fof(f122,plain,
! [X0,X1] : mult(a,mult(X1,mult(X0,sF6))) = mult(X0,mult(X1,sF7)),
inference(superposition,[],[f3,f21]) ).
fof(f131,plain,
! [X0,X1] : mult(c,mult(X1,mult(X0,sF5))) = mult(X0,mult(X1,sF6)),
inference(superposition,[],[f3,f19]) ).
fof(f132,plain,
! [X0,X1] : mult(c,mult(X1,mult(X0,mult(d,e)))) = mult(X0,mult(X1,sF2)),
inference(superposition,[],[f3,f23]) ).
fof(f140,plain,
! [X0,X1] : mult(d,mult(X1,mult(X0,b))) = mult(X0,mult(X1,sF4)),
inference(superposition,[],[f3,f15]) ).
fof(f144,plain,
! [X0,X1] : mult(sF0,mult(X1,mult(X0,sF2))) = mult(X0,mult(X1,sF3)),
inference(superposition,[],[f3,f13]) ).
fof(f148,plain,
! [X0,X1] : mult(sF4,mult(X1,mult(X0,e))) = mult(X0,mult(X1,sF5)),
inference(superposition,[],[f3,f17]) ).
fof(f152,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X0)) = mult(X0,mult(X1,mult(X2,mult(X1,X0)))),
inference(superposition,[],[f3,f2]) ).
fof(f163,plain,
! [X0] : mult(X0,sF2) = mult(d,mult(c,mult(X0,e))),
inference(superposition,[],[f3,f23]) ).
fof(f164,plain,
! [X0] : mult(X0,sF6) = mult(sF5,mult(c,mult(X0,sF6))),
inference(superposition,[],[f3,f27]) ).
fof(f177,plain,
! [X0] : mult(X0,sF5) = mult(e,mult(sF4,mult(X0,sF5))),
inference(superposition,[],[f3,f31]) ).
fof(f181,plain,
mult(sF4,sF2) = mult(d,mult(c,sF5)),
inference(superposition,[],[f163,f17]) ).
fof(f186,plain,
mult(sF4,sF2) = mult(d,sF6),
inference(forward_demodulation,[],[f181,f19]) ).
fof(f241,plain,
sF7 = mult(sF5,mult(c,sF7)),
inference(superposition,[],[f164,f21]) ).
fof(f242,plain,
mult(sF5,sF6) = mult(mult(sF5,sF6),sF6),
inference(superposition,[],[f164,f34]) ).
fof(f262,plain,
! [X0] : mult(X0,sF7) = mult(c,mult(sF5,mult(X0,sF7))),
inference(superposition,[],[f3,f241]) ).
fof(f266,plain,
! [X0,X1] : mult(X0,mult(X1,mult(sF5,sF6))) = mult(mult(sF5,sF6),mult(X1,mult(X0,sF6))),
inference(superposition,[],[f3,f242]) ).
fof(f311,plain,
sF6 = mult(e,mult(sF4,sF6)),
inference(superposition,[],[f177,f19]) ).
fof(f327,plain,
! [X0] : mult(X0,sF6) = mult(sF4,mult(e,mult(X0,sF6))),
inference(superposition,[],[f3,f311]) ).
fof(f360,plain,
! [X0] : mult(d,mult(X0,sF0)) = mult(a,mult(X0,sF4)),
inference(superposition,[],[f121,f15]) ).
fof(f394,plain,
! [X0] : mult(sF4,mult(X0,sF3)) = mult(sF0,mult(X0,mult(d,sF6))),
inference(superposition,[],[f144,f186]) ).
fof(f405,plain,
! [X0] : mult(sF4,mult(X0,sF3)) = mult(d,mult(X0,mult(sF0,sF6))),
inference(forward_demodulation,[],[f394,f3]) ).
fof(f443,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(X0,mult(X2,mult(mult(X0,X1),X2))),
inference(superposition,[],[f4,f2]) ).
fof(f465,plain,
! [X0,X1] : mult(mult(X0,mult(b,sF0)),X1) = mult(X0,mult(X1,mult(sF0,X1))),
inference(superposition,[],[f4,f7]) ).
fof(f468,plain,
! [X0,X1] : mult(mult(X0,mult(b,sF4)),X1) = mult(X0,mult(X1,mult(sF4,X1))),
inference(superposition,[],[f4,f15]) ).
fof(f470,plain,
! [X0,X1] : mult(mult(X0,mult(e,sF5)),X1) = mult(X0,mult(X1,mult(sF5,X1))),
inference(superposition,[],[f4,f17]) ).
fof(f2302,plain,
mult(c,mult(d,e)) = mult(e,mult(d,sF2)),
inference(superposition,[],[f132,f2]) ).
fof(f2355,plain,
sF2 = mult(e,mult(d,sF2)),
inference(forward_demodulation,[],[f2302,f23]) ).
fof(f2378,plain,
mult(sF0,sF2) = mult(d,mult(e,sF3)),
inference(superposition,[],[f144,f2355]) ).
fof(f2380,plain,
! [X0] : mult(X0,sF2) = mult(d,mult(e,mult(X0,sF2))),
inference(superposition,[],[f3,f2355]) ).
fof(f2384,plain,
sF3 = mult(d,mult(e,sF3)),
inference(forward_demodulation,[],[f2378,f13]) ).
fof(f2386,plain,
! [X0] : mult(X0,sF3) = mult(e,mult(d,mult(X0,sF3))),
inference(superposition,[],[f3,f2384]) ).
fof(f2421,plain,
mult(d,sF6) = mult(d,mult(e,mult(d,sF6))),
inference(superposition,[],[f2380,f186]) ).
fof(f2717,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),mult(X1,mult(X0,X1))),
inference(superposition,[],[f152,f2]) ).
fof(f2763,plain,
sF6 = mult(sF6,mult(sF5,sF6)),
inference(superposition,[],[f152,f27]) ).
fof(f2778,plain,
sF2 = mult(sF2,mult(d,sF2)),
inference(superposition,[],[f152,f2355]) ).
fof(f2783,plain,
sF5 = mult(sF5,mult(e,sF5)),
inference(superposition,[],[f152,f31]) ).
fof(f2792,plain,
mult(sF6,mult(d,sF6)) = mult(e,mult(d,sF6)),
inference(superposition,[],[f152,f2421]) ).
fof(f2899,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,mult(mult(X0,X1),X1))),
inference(forward_demodulation,[],[f2717,f3]) ).
fof(f2969,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),X1),
inference(forward_demodulation,[],[f2899,f443]) ).
fof(f3054,plain,
! [X0] : mult(X0,sF6) = mult(mult(sF5,sF6),mult(sF6,mult(X0,sF6))),
inference(superposition,[],[f152,f2763]) ).
fof(f3055,plain,
! [X0] : mult(X0,sF6) = mult(X0,mult(sF6,mult(sF5,sF6))),
inference(forward_demodulation,[],[f3054,f266]) ).
fof(f3057,plain,
! [X0] : mult(X0,sF6) = mult(mult(X0,mult(e,sF5)),sF6),
inference(forward_demodulation,[],[f3055,f470]) ).
fof(f3073,plain,
mult(c,sF5) = mult(e,mult(sF5,sF6)),
inference(superposition,[],[f131,f2783]) ).
fof(f3081,plain,
sF6 = mult(e,mult(sF5,sF6)),
inference(forward_demodulation,[],[f3073,f19]) ).
fof(f3089,plain,
mult(sF0,sF2) = mult(d,mult(sF2,sF3)),
inference(superposition,[],[f144,f2778]) ).
fof(f3096,plain,
sF3 = mult(d,mult(sF2,sF3)),
inference(forward_demodulation,[],[f3089,f13]) ).
fof(f3127,plain,
mult(sF5,sF6) = mult(sF4,sF6),
inference(superposition,[],[f327,f3081]) ).
fof(f3128,plain,
mult(a,sF6) = mult(sF5,mult(e,sF7)),
inference(superposition,[],[f122,f3081]) ).
fof(f3136,plain,
sF7 = mult(sF5,mult(e,sF7)),
inference(forward_demodulation,[],[f3128,f21]) ).
fof(f3161,plain,
mult(sF2,sF3) = mult(e,sF3),
inference(superposition,[],[f2386,f3096]) ).
fof(f3169,plain,
sF3 = mult(sF0,mult(e,sF3)),
inference(backward_demodulation,[],[f30,f3161]) ).
fof(f3188,plain,
mult(c,sF7) = mult(e,sF7),
inference(superposition,[],[f262,f3136]) ).
fof(f3285,plain,
! [X0] : mult(sF0,X0) = mult(a,mult(X0,mult(sF0,X0))),
inference(superposition,[],[f443,f25]) ).
fof(f3294,plain,
! [X0] : mult(sF2,X0) = mult(c,mult(X0,mult(sF2,X0))),
inference(superposition,[],[f443,f23]) ).
fof(f3304,plain,
! [X0] : mult(sF3,X0) = mult(d,mult(X0,mult(sF3,X0))),
inference(superposition,[],[f443,f2384]) ).
fof(f3305,plain,
! [X0] : mult(sF4,X0) = mult(d,mult(X0,mult(sF4,X0))),
inference(superposition,[],[f443,f29]) ).
fof(f3313,plain,
! [X0] : mult(sF3,X0) = mult(sF0,mult(X0,mult(sF3,X0))),
inference(superposition,[],[f443,f3169]) ).
fof(f3393,plain,
! [X0] : mult(sF3,X0) = mult(sF3,mult(X0,mult(sF0,X0))),
inference(forward_demodulation,[],[f3313,f3]) ).
fof(f3563,plain,
sF0 = mult(sF0,b),
inference(superposition,[],[f2969,f7]) ).
fof(f3574,plain,
sF2 = mult(sF2,mult(d,e)),
inference(superposition,[],[f2969,f23]) ).
fof(f3578,plain,
sF6 = mult(sF6,sF5),
inference(superposition,[],[f2969,f19]) ).
fof(f3593,plain,
sF3 = mult(sF3,sF2),
inference(superposition,[],[f2969,f13]) ).
fof(f3604,plain,
sF5 = mult(sF5,e),
inference(superposition,[],[f2969,f17]) ).
fof(f3720,plain,
! [X0] : mult(d,mult(X0,sF0)) = mult(sF0,mult(X0,sF4)),
inference(superposition,[],[f140,f3563]) ).
fof(f3731,plain,
! [X0] : mult(a,mult(X0,sF4)) = mult(sF0,mult(X0,sF4)),
inference(forward_demodulation,[],[f3720,f360]) ).
fof(f3750,plain,
! [X0] : mult(c,mult(X0,sF6)) = mult(sF6,mult(X0,sF6)),
inference(superposition,[],[f131,f3578]) ).
fof(f3762,plain,
mult(c,mult(d,sF6)) = mult(e,mult(d,sF6)),
inference(backward_demodulation,[],[f2792,f3750]) ).
fof(f3793,plain,
mult(d,mult(c,sF5)) = mult(sF5,sF2),
inference(superposition,[],[f163,f3604]) ).
fof(f3800,plain,
mult(d,sF6) = mult(sF5,sF2),
inference(forward_demodulation,[],[f3793,f19]) ).
fof(f3806,plain,
mult(sF4,sF2) = mult(d,mult(sF2,sF5)),
inference(superposition,[],[f148,f3574]) ).
fof(f3816,plain,
mult(d,sF6) = mult(d,mult(sF2,sF5)),
inference(forward_demodulation,[],[f3806,f186]) ).
fof(f3825,plain,
! [X0] : mult(sF0,mult(X0,mult(d,sF6))) = mult(sF5,mult(X0,sF3)),
inference(superposition,[],[f144,f3800]) ).
fof(f3835,plain,
! [X0] : mult(d,mult(X0,mult(sF0,sF6))) = mult(sF5,mult(X0,sF3)),
inference(forward_demodulation,[],[f3825,f3]) ).
fof(f3837,plain,
! [X0] : mult(sF4,mult(X0,sF3)) = mult(sF5,mult(X0,sF3)),
inference(backward_demodulation,[],[f405,f3835]) ).
fof(f3925,plain,
mult(sF2,mult(d,sF6)) = mult(c,mult(d,sF6)),
inference(superposition,[],[f131,f3816]) ).
fof(f3935,plain,
mult(sF2,mult(d,sF6)) = mult(e,mult(d,sF6)),
inference(forward_demodulation,[],[f3925,f3762]) ).
fof(f3953,plain,
sF3 = mult(a,mult(sF2,sF3)),
inference(superposition,[],[f3285,f13]) ).
fof(f3986,plain,
sF3 = mult(a,mult(e,sF3)),
inference(forward_demodulation,[],[f3953,f3161]) ).
fof(f4070,plain,
mult(sF2,sF5) = mult(sF2,mult(sF5,sF6)),
inference(superposition,[],[f131,f3294]) ).
fof(f4156,plain,
mult(sF5,sF6) = mult(d,mult(sF6,mult(sF5,sF6))),
inference(superposition,[],[f3305,f3127]) ).
fof(f4182,plain,
mult(sF5,sF6) = mult(mult(d,mult(e,sF5)),sF6),
inference(forward_demodulation,[],[f4156,f470]) ).
fof(f4188,plain,
mult(sF5,sF6) = mult(d,sF6),
inference(forward_demodulation,[],[f4182,f3057]) ).
fof(f4191,plain,
sF6 = mult(c,mult(d,sF6)),
inference(backward_demodulation,[],[f27,f4188]) ).
fof(f4200,plain,
sF6 = mult(e,mult(d,sF6)),
inference(backward_demodulation,[],[f3081,f4188]) ).
fof(f4207,plain,
mult(sF2,mult(d,sF6)) = mult(sF2,sF5),
inference(backward_demodulation,[],[f4070,f4188]) ).
fof(f4211,plain,
mult(sF2,sF5) = mult(e,mult(d,sF6)),
inference(forward_demodulation,[],[f4207,f3935]) ).
fof(f4217,plain,
sF6 = mult(sF2,sF5),
inference(forward_demodulation,[],[f4211,f4200]) ).
fof(f4228,plain,
! [X0] : mult(c,mult(X0,sF6)) = mult(sF2,mult(X0,sF6)),
inference(superposition,[],[f131,f4217]) ).
fof(f4251,plain,
mult(a,sF6) = mult(d,mult(c,sF7)),
inference(superposition,[],[f122,f4191]) ).
fof(f4263,plain,
mult(a,sF6) = mult(d,mult(e,sF7)),
inference(forward_demodulation,[],[f4251,f3188]) ).
fof(f4264,plain,
sF7 = mult(d,mult(e,sF7)),
inference(forward_demodulation,[],[f4263,f21]) ).
fof(f4271,plain,
! [X0] : mult(sF7,X0) = mult(d,mult(X0,mult(sF7,X0))),
inference(superposition,[],[f443,f4264]) ).
fof(f4553,plain,
mult(sF3,b) = mult(sF3,mult(b,sF0)),
inference(superposition,[],[f3393,f3563]) ).
fof(f4563,plain,
! [X0] : mult(sF3,X0) = mult(mult(sF3,mult(b,sF0)),X0),
inference(superposition,[],[f465,f3393]) ).
fof(f4579,plain,
! [X0] : mult(sF3,X0) = mult(mult(sF3,b),X0),
inference(backward_demodulation,[],[f4563,f4553]) ).
fof(f5041,plain,
! [X0,X1] : mult(X0,mult(X1,sF7)) = mult(d,mult(mult(X1,mult(X0,mult(X1,sF7))),mult(X0,mult(X1,sF7)))),
inference(superposition,[],[f4271,f152]) ).
fof(f5072,plain,
! [X0,X1] : mult(X0,mult(X1,sF7)) = mult(d,mult(X1,mult(X0,mult(X1,sF7)))),
inference(forward_demodulation,[],[f5041,f2969]) ).
fof(f5179,plain,
mult(sF3,b) = mult(sF3,mult(b,sF4)),
inference(superposition,[],[f140,f3304]) ).
fof(f5381,plain,
! [X0] : mult(X0,mult(sF2,mult(d,sF6))) = mult(mult(X0,mult(b,sF4)),sF2),
inference(superposition,[],[f468,f186]) ).
fof(f5484,plain,
! [X0] : mult(X0,mult(c,mult(d,sF6))) = mult(mult(X0,mult(b,sF4)),sF2),
inference(forward_demodulation,[],[f5381,f4228]) ).
fof(f5521,plain,
! [X0] : mult(X0,sF6) = mult(mult(X0,mult(b,sF4)),sF2),
inference(forward_demodulation,[],[f5484,f4191]) ).
fof(f5690,plain,
mult(sF0,sF6) = mult(mult(a,mult(b,sF4)),sF2),
inference(superposition,[],[f5521,f3731]) ).
fof(f5691,plain,
mult(sF3,sF6) = mult(mult(sF3,b),sF2),
inference(superposition,[],[f5521,f5179]) ).
fof(f5714,plain,
mult(sF3,sF2) = mult(sF3,sF6),
inference(forward_demodulation,[],[f5691,f4579]) ).
fof(f5715,plain,
mult(a,sF6) = mult(sF0,sF6),
inference(forward_demodulation,[],[f5690,f5521]) ).
fof(f5723,plain,
sF3 = mult(sF3,sF6),
inference(forward_demodulation,[],[f5714,f3593]) ).
fof(f5724,plain,
sF7 = mult(sF0,sF6),
inference(forward_demodulation,[],[f5715,f21]) ).
fof(f5727,plain,
! [X0] : mult(sF5,mult(X0,sF3)) = mult(d,mult(X0,sF7)),
inference(backward_demodulation,[],[f3835,f5724]) ).
fof(f5748,plain,
! [X0] : mult(sF4,mult(X0,sF3)) = mult(d,mult(X0,sF7)),
inference(backward_demodulation,[],[f3837,f5727]) ).
fof(f5833,plain,
! [X0] : mult(sF3,mult(X0,sF7)) = mult(a,mult(X0,sF3)),
inference(superposition,[],[f122,f5723]) ).
fof(f6079,plain,
! [X0] : mult(d,mult(X0,sF7)) = mult(sF3,mult(X0,mult(d,mult(X0,sF7)))),
inference(superposition,[],[f152,f5748]) ).
fof(f6081,plain,
! [X0] : mult(d,mult(X0,sF7)) = mult(d,mult(X0,mult(sF3,mult(X0,sF7)))),
inference(forward_demodulation,[],[f6079,f3]) ).
fof(f6092,plain,
! [X0] : mult(sF3,mult(X0,sF7)) = mult(d,mult(X0,sF7)),
inference(forward_demodulation,[],[f6081,f5072]) ).
fof(f6096,plain,
! [X0] : mult(a,mult(X0,sF3)) = mult(d,mult(X0,sF7)),
inference(backward_demodulation,[],[f5833,f6092]) ).
fof(f6099,plain,
sF3 = mult(d,mult(e,sF7)),
inference(backward_demodulation,[],[f3986,f6096]) ).
fof(f6100,plain,
sF3 = sF7,
inference(forward_demodulation,[],[f6099,f4264]) ).
fof(f6102,plain,
$false,
inference(forward_subsumption_resolution,[],[f6100,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.14 % Computer : n012.cluster.edu
% 0.07/0.14 % Model : x86_64 x86_64
% 0.07/0.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.14 % Memory : 8046.5625MB
% 0.07/0.14 % OS : Linux 6.8.0-71-generic
% 0.07/0.14 % CPULimit : 300
% 0.07/0.14 % WCLimit : 300
% 0.07/0.14 % DateTime : Mon Sep 28 19:56:34 UTC 2026
% 0.07/0.14 % CPUTime :
% 0.07/0.14 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 Running first-order theorem proving
% 0.07/0.17 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.31/2.16 % (3683582)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.31/2.16 % (3683591)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1184783822:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 11.31/2.16 % (3683590)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2307887252:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 11.31/2.16 % (3683589)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4293412401:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 11.31/2.16 % (3683594)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1365226452:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 11.31/2.16 % (3683593)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=565774308:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 11.31/2.16 % (3683595)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2401132229:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 11.31/2.16 % (3683592)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1643615679:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 11.31/2.16 % (3683592)Instruction limit reached!
% 11.31/2.16 % (3683592)------------------------------
% 11.31/2.16 % (3683592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683592)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683592)Termination reason: Instruction limit
% 11.31/2.16 % (3683592)Termination phase: Saturation
% 11.31/2.16 % (3683592)Time elapsed: 0.067 s
% 11.31/2.16 % (3683592)Peak memory usage: 88 MB
% 11.31/2.16 % (3683592)Instructions burned: 137 (million)
% 11.31/2.16 % (3683593)Instruction limit reached!
% 11.31/2.16 % (3683593)------------------------------
% 11.31/2.16 % (3683593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683593)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683593)Termination reason: Instruction limit
% 11.31/2.16 % (3683593)Termination phase: Saturation
% 11.31/2.16 % (3683593)Time elapsed: 0.077 s
% 11.31/2.16 % (3683593)Peak memory usage: 89 MB
% 11.31/2.16 % (3683593)Instructions burned: 181 (million)
% 11.31/2.16 % (3683594)Instruction limit reached!
% 11.31/2.16 % (3683594)------------------------------
% 11.31/2.16 % (3683594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683594)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683594)Termination reason: Instruction limit
% 11.31/2.16 % (3683594)Termination phase: Saturation
% 11.31/2.16 % (3683594)Time elapsed: 0.123 s
% 11.31/2.16 % (3683594)Peak memory usage: 90 MB
% 11.31/2.16 % (3683594)Instructions burned: 258 (million)
% 11.31/2.16 % (3683604)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3337829693:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 11.31/2.16 % (3683603)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3266206053:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 11.31/2.16 % (3683605)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=85592098:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 11.31/2.16 % (3683605)Instruction limit reached!
% 11.31/2.16 % (3683605)------------------------------
% 11.31/2.16 % (3683605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683605)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683605)Termination reason: Instruction limit
% 11.31/2.16 % (3683605)Termination phase: Saturation
% 11.31/2.16 % (3683605)Time elapsed: 0.085 s
% 11.31/2.16 % (3683605)Peak memory usage: 88 MB
% 11.31/2.16 % (3683605)Instructions burned: 217 (million)
% 11.31/2.16 % (3683595)Instruction limit reached!
% 11.31/2.16 % (3683595)------------------------------
% 11.31/2.16 % (3683595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683595)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683595)Termination reason: Instruction limit
% 11.31/2.16 % (3683595)Termination phase: Saturation
% 11.31/2.16 % (3683595)Time elapsed: 0.545 s
% 11.31/2.16 % (3683595)Peak memory usage: 97 MB
% 11.31/2.16 % (3683595)Instructions burned: 1187 (million)
% 11.31/2.16 % (3683611)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=96450127:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 11.31/2.16 % (3683612)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1856091798:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 11.31/2.16 % (3683611)Instruction limit reached!
% 11.31/2.16 % (3683611)------------------------------
% 11.31/2.16 % (3683611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683611)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683611)Termination reason: Instruction limit
% 11.31/2.16 % (3683611)Termination phase: Saturation
% 11.31/2.16 % (3683611)Time elapsed: 0.173 s
% 11.31/2.16 % (3683611)Peak memory usage: 93 MB
% 11.31/2.16 % (3683611)Instructions burned: 317 (million)
% 11.31/2.16 % (3683615)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=232238403:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 11.31/2.16 % (3683615)First to succeed.
% 11.31/2.16 % (3683615)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3683582"
% 11.31/2.16 % (3683603)Instruction limit reached!
% 11.31/2.16 % (3683603)------------------------------
% 11.31/2.16 % (3683603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.16 % (3683603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.16 % (3683603)CaDiCaL version: 2.1.3
% 11.31/2.16 % (3683603)Termination reason: Instruction limit
% 11.31/2.16 % (3683603)Termination phase: Saturation
% 11.31/2.16 % (3683603)Time elapsed: 1.134 s
% 11.31/2.16 % (3683603)Peak memory usage: 137 MB
% 11.31/2.16 % (3683603)Instructions burned: 2052 (million)
% 11.31/2.16 % (3683615)Refutation found. Thanks to Tanya!
% 11.31/2.16 % SZS status Unsatisfiable for theBenchmark
% 11.31/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 11.81/2.35 % (3683615)------------------------------
% 11.81/2.35 % (3683615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/2.35 % (3683615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.35 % (3683615)CaDiCaL version: 2.1.3
% 11.81/2.35 % (3683615)Termination reason: Refutation
% 11.81/2.35 % (3683615)Time elapsed: 0.190 s
% 11.81/2.35 % (3683615)Peak memory usage: 94 MB
% 11.81/2.35 % (3683615)Instructions burned: 389 (million)
% 11.81/2.35 % (3683615)------------------------------
% 11.81/2.35 % (3683615)------------------------------
% 11.81/2.35 % (3683582)Success in time 1.607 s
% 11.81/2.35 % Vampire exiting
%------------------------------------------------------------------------------