%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP705-1 : 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 : 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 : Tue Sep 29 10:16:00 AM UTC 2026
% Result : Unsatisfiable 10.48s 2.53s
% Output : Refutation 12.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 92
% Number of leaves : 21
% Syntax : Number of formulae : 318 ( 318 unt; 12 def)
% Number of atoms : 318 ( 317 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-2 aty)
% Number of variables : 253 ( 253 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,negated_conjecture,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,negated_conjecture,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,negated_conjecture,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,negated_conjecture,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,negated_conjecture,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f10,axiom,
mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f11,plain,
unit = mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
mult(op_a,mult(op_b,a)) != mult(mult(op_a,op_b),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,definition,
sF3 = mult(op_b,op_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f21,plain,
mult(op_b,op_b) = sF3,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF4 = mult(op_b,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f23,plain,
mult(op_b,sF3) = sF4,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF5 = mult(op_b,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f25,plain,
mult(op_b,sF4) = sF5,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF6 = mult(op_b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f27,plain,
mult(op_b,sF5) = sF6,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF7 = mult(op_b,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f29,plain,
mult(op_b,sF6) = sF7,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF8 = mult(op_b,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f31,plain,
mult(op_b,sF7) = sF8,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF9 = mult(op_b,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f33,plain,
mult(op_b,sF8) = sF9,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF10 = mult(op_b,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f35,plain,
mult(op_b,sF9) = sF10,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
unit = sF10,
inference(definition_folding,[],[f11,f35,f33,f31,f29,f27,f25,f23,f21]) ).
fof(f37,definition,
sF11 = mult(op_b,a),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f38,plain,
mult(op_b,a) = sF11,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF12 = mult(op_a,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f40,plain,
mult(op_a,sF11) = sF12,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF13 = mult(op_a,op_b),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f42,plain,
mult(op_a,op_b) = sF13,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF14 = mult(sF13,a),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f44,plain,
mult(sF13,a) = sF14,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
sF12 != sF14,
inference(definition_folding,[],[f12,f44,f42,f40,f38]) ).
fof(f47,plain,
unit = mult(op_b,sF9),
inference(forward_demodulation,[],[f35,f36]) ).
fof(f56,plain,
sF3 = ld(op_b,sF4),
inference(superposition,[],[f2,f23]) ).
fof(f59,plain,
sF6 = ld(op_b,sF7),
inference(superposition,[],[f2,f29]) ).
fof(f98,plain,
! [X0] : mult(op_b,mult(op_b,mult(op_b,X0))) = mult(mult(sF3,op_b),X0),
inference(superposition,[],[f7,f21]) ).
fof(f100,plain,
! [X0] : mult(op_b,mult(sF3,mult(sF3,X0))) = mult(mult(sF4,sF3),X0),
inference(superposition,[],[f7,f23]) ).
fof(f103,plain,
! [X0] : mult(op_b,mult(sF6,mult(sF6,X0))) = mult(mult(sF7,sF6),X0),
inference(superposition,[],[f7,f29]) ).
fof(f113,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X1) = rd(mult(X0,mult(X1,mult(X1,X2))),X2),
inference(superposition,[],[f4,f7]) ).
fof(f115,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
inference(superposition,[],[f5,f7]) ).
fof(f116,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f115,f5]) ).
fof(f125,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X1,mult(X1,X2))),X2) = mult(X0,mult(X1,X1)),
inference(backward_demodulation,[],[f113,f116]) ).
fof(f127,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(backward_demodulation,[],[f7,f116]) ).
fof(f134,plain,
! [X0,X1] : mult(X0,mult(op_b,mult(op_b,X1))) = mult(mult(X0,sF3),X1),
inference(superposition,[],[f127,f21]) ).
fof(f147,plain,
! [X0] : mult(mult(sF3,op_b),X0) = mult(mult(op_b,sF3),X0),
inference(backward_demodulation,[],[f98,f134]) ).
fof(f152,plain,
! [X0] : mult(mult(sF3,op_b),X0) = mult(sF4,X0),
inference(forward_demodulation,[],[f147,f23]) ).
fof(f180,plain,
mult(sF3,op_b) = mult(sF4,unit),
inference(superposition,[],[f5,f152]) ).
fof(f181,plain,
sF4 = mult(sF3,op_b),
inference(forward_demodulation,[],[f180,f5]) ).
fof(f279,plain,
! [X0] : mult(mult(X0,sF3),sF3) = mult(X0,mult(op_b,sF4)),
inference(superposition,[],[f134,f23]) ).
fof(f280,plain,
! [X0] : mult(mult(X0,sF3),sF4) = mult(X0,mult(op_b,sF5)),
inference(superposition,[],[f134,f25]) ).
fof(f281,plain,
! [X0] : mult(mult(X0,sF3),sF5) = mult(X0,mult(op_b,sF6)),
inference(superposition,[],[f134,f27]) ).
fof(f282,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(X0,mult(op_b,sF7)),
inference(superposition,[],[f134,f29]) ).
fof(f283,plain,
! [X0] : mult(mult(X0,sF3),sF7) = mult(X0,mult(op_b,sF8)),
inference(superposition,[],[f134,f31]) ).
fof(f284,plain,
! [X0] : mult(mult(X0,sF3),sF8) = mult(X0,mult(op_b,sF9)),
inference(superposition,[],[f134,f33]) ).
fof(f285,plain,
! [X0] : mult(mult(X0,sF3),sF9) = mult(X0,mult(op_b,unit)),
inference(superposition,[],[f134,f47]) ).
fof(f286,plain,
! [X0,X1] : mult(mult(X1,sF3),ld(op_b,X0)) = mult(X1,mult(op_b,X0)),
inference(superposition,[],[f134,f1]) ).
fof(f300,plain,
! [X0] : mult(op_b,mult(op_b,X0)) = mult(mult(unit,sF3),X0),
inference(superposition,[],[f6,f134]) ).
fof(f301,plain,
! [X0] : mult(op_b,mult(op_b,X0)) = mult(sF3,X0),
inference(forward_demodulation,[],[f300,f6]) ).
fof(f310,plain,
! [X0] : mult(mult(X0,sF3),sF9) = mult(X0,op_b),
inference(forward_demodulation,[],[f285,f5]) ).
fof(f311,plain,
! [X0] : mult(X0,unit) = mult(mult(X0,sF3),sF8),
inference(forward_demodulation,[],[f284,f47]) ).
fof(f312,plain,
! [X0] : mult(mult(X0,sF3),sF7) = mult(X0,sF9),
inference(forward_demodulation,[],[f283,f33]) ).
fof(f313,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(X0,sF8),
inference(forward_demodulation,[],[f282,f31]) ).
fof(f314,plain,
! [X0] : mult(mult(X0,sF3),sF5) = mult(X0,sF7),
inference(forward_demodulation,[],[f281,f29]) ).
fof(f315,plain,
! [X0] : mult(mult(X0,sF3),sF4) = mult(X0,sF6),
inference(forward_demodulation,[],[f280,f27]) ).
fof(f316,plain,
! [X0] : mult(mult(X0,sF3),sF3) = mult(X0,sF5),
inference(forward_demodulation,[],[f279,f25]) ).
fof(f322,plain,
! [X0,X1] : mult(mult(X0,sF3),X1) = mult(X0,mult(sF3,X1)),
inference(backward_demodulation,[],[f134,f301]) ).
fof(f328,plain,
! [X0] : mult(mult(X0,sF3),sF8) = X0,
inference(forward_demodulation,[],[f311,f5]) ).
fof(f329,plain,
! [X0] : mult(X0,sF5) = mult(X0,mult(sF3,sF3)),
inference(forward_demodulation,[],[f316,f116]) ).
fof(f330,plain,
! [X0,X1] : mult(X1,mult(op_b,X0)) = mult(X1,mult(sF3,ld(op_b,X0))),
inference(backward_demodulation,[],[f286,f322]) ).
fof(f334,plain,
! [X0] : mult(X0,sF6) = mult(X0,mult(sF3,sF4)),
inference(backward_demodulation,[],[f315,f322]) ).
fof(f335,plain,
! [X0] : mult(X0,sF7) = mult(X0,mult(sF3,sF5)),
inference(backward_demodulation,[],[f314,f322]) ).
fof(f336,plain,
! [X0] : mult(X0,sF8) = mult(X0,mult(sF3,sF6)),
inference(backward_demodulation,[],[f313,f322]) ).
fof(f337,plain,
! [X0] : mult(X0,sF9) = mult(X0,mult(sF3,sF7)),
inference(backward_demodulation,[],[f312,f322]) ).
fof(f338,plain,
! [X0] : mult(X0,op_b) = mult(X0,mult(sF3,sF9)),
inference(backward_demodulation,[],[f310,f322]) ).
fof(f340,plain,
! [X0] : mult(op_b,mult(sF3,mult(sF3,X0))) = mult(sF4,mult(sF3,X0)),
inference(backward_demodulation,[],[f100,f322]) ).
fof(f345,plain,
! [X0] : mult(X0,mult(sF3,sF8)) = X0,
inference(forward_demodulation,[],[f328,f322]) ).
fof(f356,plain,
mult(unit,sF9) = mult(sF3,sF7),
inference(superposition,[],[f6,f337]) ).
fof(f357,plain,
sF9 = mult(sF3,sF7),
inference(forward_demodulation,[],[f356,f6]) ).
fof(f377,plain,
mult(sF3,sF5) = mult(unit,sF7),
inference(superposition,[],[f6,f335]) ).
fof(f378,plain,
sF7 = mult(sF3,sF5),
inference(forward_demodulation,[],[f377,f6]) ).
fof(f398,plain,
mult(sF3,sF4) = mult(unit,sF6),
inference(superposition,[],[f6,f334]) ).
fof(f399,plain,
sF6 = mult(sF3,sF4),
inference(forward_demodulation,[],[f398,f6]) ).
fof(f419,plain,
mult(sF3,sF6) = mult(unit,sF8),
inference(superposition,[],[f6,f336]) ).
fof(f420,plain,
sF8 = mult(sF3,sF6),
inference(forward_demodulation,[],[f419,f6]) ).
fof(f434,plain,
! [X0,X1] : mult(X0,mult(sF3,mult(sF3,X1))) = mult(mult(X0,sF5),X1),
inference(superposition,[],[f127,f329]) ).
fof(f441,plain,
mult(sF3,sF3) = mult(unit,sF5),
inference(superposition,[],[f6,f329]) ).
fof(f442,plain,
sF5 = mult(sF3,sF3),
inference(forward_demodulation,[],[f441,f6]) ).
fof(f447,plain,
! [X0] : mult(sF4,mult(sF3,X0)) = mult(mult(op_b,sF5),X0),
inference(backward_demodulation,[],[f340,f434]) ).
fof(f454,plain,
! [X0] : mult(sF6,X0) = mult(sF4,mult(sF3,X0)),
inference(forward_demodulation,[],[f447,f27]) ).
fof(f467,plain,
! [X0] : mult(sF4,X0) = mult(op_b,mult(sF3,X0)),
inference(superposition,[],[f322,f23]) ).
fof(f484,plain,
! [X0] : mult(sF4,X0) = mult(sF6,ld(sF3,X0)),
inference(superposition,[],[f454,f1]) ).
fof(f488,plain,
! [X0] : mult(sF3,X0) = ld(sF4,mult(sF6,X0)),
inference(superposition,[],[f2,f454]) ).
fof(f493,plain,
! [X0] : ld(sF3,X0) = ld(sF6,mult(sF4,X0)),
inference(superposition,[],[f2,f484]) ).
fof(f505,plain,
! [X0] : mult(mult(X0,sF3),op_b) = mult(X0,mult(sF3,mult(sF3,sF9))),
inference(superposition,[],[f322,f338]) ).
fof(f507,plain,
mult(sF3,sF9) = mult(unit,op_b),
inference(superposition,[],[f6,f338]) ).
fof(f509,plain,
mult(sF6,sF9) = mult(sF4,op_b),
inference(superposition,[],[f454,f338]) ).
fof(f511,plain,
op_b = mult(sF3,sF9),
inference(forward_demodulation,[],[f507,f6]) ).
fof(f512,plain,
! [X0] : mult(mult(X0,sF3),op_b) = mult(mult(X0,sF5),sF9),
inference(forward_demodulation,[],[f505,f434]) ).
fof(f523,plain,
! [X0] : mult(X0,mult(sF3,op_b)) = mult(mult(X0,sF5),sF9),
inference(forward_demodulation,[],[f512,f322]) ).
fof(f525,plain,
! [X0] : mult(X0,sF4) = mult(mult(X0,sF5),sF9),
inference(forward_demodulation,[],[f523,f181]) ).
fof(f528,plain,
! [X0] : ld(sF3,ld(sF4,X0)) = ld(sF6,X0),
inference(superposition,[],[f493,f1]) ).
fof(f533,plain,
! [X0] : ld(sF4,X0) = mult(sF3,ld(sF6,X0)),
inference(superposition,[],[f488,f1]) ).
fof(f549,plain,
! [X0] : mult(X0,sF3) = mult(X0,mult(sF3,mult(sF3,sF8))),
inference(superposition,[],[f322,f345]) ).
fof(f551,plain,
unit = mult(sF3,sF8),
inference(superposition,[],[f6,f345]) ).
fof(f561,plain,
! [X0] : mult(X0,sF3) = mult(mult(X0,sF5),sF8),
inference(forward_demodulation,[],[f549,f434]) ).
fof(f577,plain,
! [X0] : mult(mult(X0,sF3),sF3) = mult(mult(X0,mult(sF3,sF5)),sF8),
inference(superposition,[],[f561,f322]) ).
fof(f579,plain,
mult(unit,sF3) = mult(sF5,sF8),
inference(superposition,[],[f561,f6]) ).
fof(f584,plain,
sF3 = mult(sF5,sF8),
inference(forward_demodulation,[],[f579,f6]) ).
fof(f585,plain,
! [X0] : mult(mult(X0,sF3),sF3) = mult(mult(X0,sF7),sF8),
inference(forward_demodulation,[],[f577,f378]) ).
fof(f588,plain,
! [X0] : mult(X0,mult(sF3,sF3)) = mult(mult(X0,sF7),sF8),
inference(forward_demodulation,[],[f585,f116]) ).
fof(f589,plain,
! [X0] : mult(X0,sF5) = mult(mult(X0,sF7),sF8),
inference(forward_demodulation,[],[f588,f442]) ).
fof(f591,plain,
! [X0] : mult(mult(X0,sF3),sF4) = mult(mult(X0,mult(sF3,sF5)),sF9),
inference(superposition,[],[f525,f322]) ).
fof(f595,plain,
mult(op_b,sF4) = mult(sF6,sF9),
inference(superposition,[],[f525,f27]) ).
fof(f598,plain,
mult(op_b,sF4) = mult(sF4,op_b),
inference(forward_demodulation,[],[f595,f509]) ).
fof(f601,plain,
! [X0] : mult(mult(X0,sF3),sF4) = mult(mult(X0,sF7),sF9),
inference(forward_demodulation,[],[f591,f378]) ).
fof(f603,plain,
sF5 = mult(sF4,op_b),
inference(forward_demodulation,[],[f598,f25]) ).
fof(f604,plain,
! [X0] : mult(X0,mult(sF3,sF4)) = mult(mult(X0,sF7),sF9),
inference(forward_demodulation,[],[f601,f322]) ).
fof(f606,plain,
! [X0] : mult(X0,sF6) = mult(mult(X0,sF7),sF9),
inference(forward_demodulation,[],[f604,f399]) ).
fof(f611,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(mult(X0,mult(sF3,sF7)),sF9),
inference(superposition,[],[f606,f322]) ).
fof(f614,plain,
mult(unit,sF6) = mult(sF7,sF9),
inference(superposition,[],[f606,f6]) ).
fof(f615,plain,
mult(op_b,sF6) = mult(sF8,sF9),
inference(superposition,[],[f606,f31]) ).
fof(f618,plain,
sF7 = mult(sF8,sF9),
inference(forward_demodulation,[],[f615,f29]) ).
fof(f619,plain,
sF6 = mult(sF7,sF9),
inference(forward_demodulation,[],[f614,f6]) ).
fof(f621,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(mult(X0,sF9),sF9),
inference(forward_demodulation,[],[f611,f357]) ).
fof(f623,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(X0,mult(sF9,sF9)),
inference(forward_demodulation,[],[f621,f116]) ).
fof(f624,plain,
! [X0] : mult(X0,mult(sF3,sF6)) = mult(X0,mult(sF9,sF9)),
inference(forward_demodulation,[],[f623,f322]) ).
fof(f625,plain,
! [X0] : mult(X0,sF8) = mult(X0,mult(sF9,sF9)),
inference(forward_demodulation,[],[f624,f420]) ).
fof(f639,plain,
mult(sF9,sF9) = mult(unit,sF8),
inference(superposition,[],[f6,f625]) ).
fof(f646,plain,
sF8 = mult(sF9,sF9),
inference(forward_demodulation,[],[f639,f6]) ).
fof(f751,plain,
mult(sF9,sF8) = mult(op_b,mult(sF8,sF8)),
inference(superposition,[],[f116,f33]) ).
fof(f805,plain,
mult(sF7,sF9) = mult(sF8,mult(sF9,sF9)),
inference(superposition,[],[f116,f618]) ).
fof(f808,plain,
mult(sF8,sF8) = mult(sF7,sF9),
inference(forward_demodulation,[],[f805,f646]) ).
fof(f809,plain,
sF6 = mult(sF8,sF8),
inference(forward_demodulation,[],[f808,f619]) ).
fof(f811,plain,
mult(op_b,sF6) = mult(sF9,sF8),
inference(backward_demodulation,[],[f751,f809]) ).
fof(f812,plain,
sF7 = mult(sF9,sF8),
inference(forward_demodulation,[],[f811,f29]) ).
fof(f820,plain,
! [X0] : mult(mult(X0,sF3),sF5) = mult(mult(X0,mult(sF3,sF7)),sF8),
inference(superposition,[],[f589,f322]) ).
fof(f821,plain,
! [X0] : mult(mult(X0,sF7),sF5) = mult(mult(X0,mult(sF7,sF7)),sF8),
inference(superposition,[],[f589,f116]) ).
fof(f824,plain,
mult(unit,sF5) = mult(sF7,sF8),
inference(superposition,[],[f589,f6]) ).
fof(f831,plain,
sF5 = mult(sF7,sF8),
inference(forward_demodulation,[],[f824,f6]) ).
fof(f833,plain,
! [X0] : mult(mult(X0,sF7),sF5) = mult(X0,mult(sF7,mult(sF7,sF8))),
inference(forward_demodulation,[],[f821,f127]) ).
fof(f834,plain,
! [X0] : mult(mult(X0,sF3),sF5) = mult(mult(X0,sF9),sF8),
inference(forward_demodulation,[],[f820,f357]) ).
fof(f838,plain,
! [X0] : mult(mult(X0,sF7),sF5) = mult(X0,mult(sF7,sF5)),
inference(forward_demodulation,[],[f833,f831]) ).
fof(f839,plain,
! [X0] : mult(X0,mult(sF3,sF5)) = mult(mult(X0,sF9),sF8),
inference(forward_demodulation,[],[f834,f322]) ).
fof(f841,plain,
! [X0] : mult(X0,sF7) = mult(mult(X0,sF9),sF8),
inference(forward_demodulation,[],[f839,f378]) ).
fof(f844,plain,
! [X0] : mult(mult(X0,sF7),sF7) = mult(mult(X0,sF6),sF8),
inference(superposition,[],[f841,f606]) ).
fof(f846,plain,
! [X0] : mult(mult(X0,sF3),sF7) = mult(mult(X0,mult(sF3,sF9)),sF8),
inference(superposition,[],[f841,f322]) ).
fof(f852,plain,
mult(sF8,sF7) = mult(sF7,sF8),
inference(superposition,[],[f841,f618]) ).
fof(f857,plain,
sF5 = mult(sF8,sF7),
inference(forward_demodulation,[],[f852,f831]) ).
fof(f862,plain,
! [X0] : mult(mult(X0,sF3),sF7) = mult(mult(X0,op_b),sF8),
inference(forward_demodulation,[],[f846,f511]) ).
fof(f864,plain,
! [X0] : mult(X0,mult(sF7,sF7)) = mult(mult(X0,sF6),sF8),
inference(forward_demodulation,[],[f844,f116]) ).
fof(f869,plain,
! [X0] : mult(X0,mult(sF3,sF7)) = mult(mult(X0,op_b),sF8),
inference(forward_demodulation,[],[f862,f322]) ).
fof(f871,plain,
! [X0] : mult(X0,sF9) = mult(mult(X0,op_b),sF8),
inference(forward_demodulation,[],[f869,f357]) ).
fof(f874,plain,
! [X0] : mult(mult(X0,sF3),sF9) = mult(mult(X0,mult(sF3,op_b)),sF8),
inference(superposition,[],[f871,f322]) ).
fof(f881,plain,
mult(sF5,sF8) = mult(sF4,sF9),
inference(superposition,[],[f871,f603]) ).
fof(f886,plain,
sF3 = mult(sF4,sF9),
inference(forward_demodulation,[],[f881,f584]) ).
fof(f891,plain,
! [X0] : mult(mult(X0,sF3),sF9) = mult(mult(X0,sF4),sF8),
inference(forward_demodulation,[],[f874,f181]) ).
fof(f895,plain,
! [X0] : mult(X0,mult(sF3,sF9)) = mult(mult(X0,sF4),sF8),
inference(forward_demodulation,[],[f891,f322]) ).
fof(f897,plain,
! [X0] : mult(X0,op_b) = mult(mult(X0,sF4),sF8),
inference(forward_demodulation,[],[f895,f511]) ).
fof(f901,plain,
! [X0] : mult(mult(X0,sF3),op_b) = mult(mult(X0,mult(sF3,sF4)),sF8),
inference(superposition,[],[f897,f322]) ).
fof(f905,plain,
mult(unit,op_b) = mult(sF4,sF8),
inference(superposition,[],[f897,f6]) ).
fof(f912,plain,
op_b = mult(sF4,sF8),
inference(forward_demodulation,[],[f905,f6]) ).
fof(f915,plain,
! [X0] : mult(mult(X0,sF3),op_b) = mult(mult(X0,sF6),sF8),
inference(forward_demodulation,[],[f901,f399]) ).
fof(f919,plain,
! [X0] : mult(mult(X0,sF3),op_b) = mult(X0,mult(sF7,sF7)),
inference(forward_demodulation,[],[f915,f864]) ).
fof(f921,plain,
! [X0] : mult(X0,mult(sF3,op_b)) = mult(X0,mult(sF7,sF7)),
inference(forward_demodulation,[],[f919,f322]) ).
fof(f922,plain,
! [X0] : mult(X0,sF4) = mult(X0,mult(sF7,sF7)),
inference(forward_demodulation,[],[f921,f181]) ).
fof(f923,plain,
! [X0] : mult(X0,sF4) = mult(mult(X0,sF6),sF8),
inference(backward_demodulation,[],[f864,f922]) ).
fof(f941,plain,
mult(sF7,sF7) = mult(unit,sF4),
inference(superposition,[],[f6,f922]) ).
fof(f952,plain,
sF4 = mult(sF7,sF7),
inference(forward_demodulation,[],[f941,f6]) ).
fof(f983,plain,
mult(sF4,sF8) = mult(sF7,sF5),
inference(superposition,[],[f589,f952]) ).
fof(f984,plain,
mult(sF7,sF6) = mult(sF4,sF9),
inference(superposition,[],[f606,f952]) ).
fof(f986,plain,
mult(sF7,sF4) = mult(sF4,sF7),
inference(superposition,[],[f116,f952]) ).
fof(f989,plain,
sF3 = mult(sF7,sF6),
inference(forward_demodulation,[],[f984,f886]) ).
fof(f990,plain,
op_b = mult(sF7,sF5),
inference(forward_demodulation,[],[f983,f912]) ).
fof(f992,plain,
! [X0] : mult(sF3,X0) = mult(op_b,mult(sF6,mult(sF6,X0))),
inference(backward_demodulation,[],[f103,f989]) ).
fof(f993,plain,
! [X0] : mult(X0,op_b) = mult(mult(X0,sF7),sF5),
inference(backward_demodulation,[],[f838,f990]) ).
fof(f997,plain,
! [X0] : mult(sF3,ld(sF6,X0)) = mult(op_b,mult(sF6,X0)),
inference(superposition,[],[f992,f1]) ).
fof(f1003,plain,
! [X0] : ld(sF4,X0) = mult(op_b,mult(sF6,X0)),
inference(forward_demodulation,[],[f997,f533]) ).
fof(f1009,plain,
mult(sF4,sF4) = mult(sF6,op_b),
inference(superposition,[],[f454,f181]) ).
fof(f1042,plain,
! [X0] : mult(sF4,mult(op_b,X0)) = mult(sF6,ld(op_b,X0)),
inference(superposition,[],[f454,f330]) ).
fof(f1043,plain,
! [X0] : ld(sF3,mult(sF3,ld(op_b,X0))) = ld(sF6,mult(sF4,mult(op_b,X0))),
inference(superposition,[],[f493,f330]) ).
fof(f1046,plain,
! [X0] : ld(sF3,mult(sF3,ld(op_b,X0))) = ld(sF3,mult(op_b,X0)),
inference(forward_demodulation,[],[f1043,f493]) ).
fof(f1064,plain,
! [X0] : ld(op_b,X0) = ld(sF3,mult(op_b,X0)),
inference(forward_demodulation,[],[f1046,f2]) ).
fof(f1079,plain,
ld(op_b,sF4) = ld(sF3,sF5),
inference(superposition,[],[f1064,f25]) ).
fof(f1082,plain,
ld(op_b,sF7) = ld(sF3,sF8),
inference(superposition,[],[f1064,f31]) ).
fof(f1092,plain,
sF6 = ld(sF3,sF8),
inference(forward_demodulation,[],[f1082,f59]) ).
fof(f1095,plain,
sF3 = ld(sF3,sF5),
inference(forward_demodulation,[],[f1079,f56]) ).
fof(f1100,plain,
mult(sF6,sF3) = mult(sF4,sF5),
inference(superposition,[],[f484,f1095]) ).
fof(f1106,plain,
mult(sF6,sF6) = mult(sF4,sF8),
inference(superposition,[],[f484,f1092]) ).
fof(f1108,plain,
op_b = mult(sF6,sF6),
inference(forward_demodulation,[],[f1106,f912]) ).
fof(f1142,plain,
! [X0,X1] : mult(X0,mult(sF6,mult(sF6,X1))) = mult(mult(X0,op_b),X1),
inference(superposition,[],[f127,f1108]) ).
fof(f1143,plain,
mult(op_b,sF6) = mult(sF6,op_b),
inference(superposition,[],[f116,f1108]) ).
fof(f1146,plain,
mult(op_b,sF6) = mult(sF4,sF4),
inference(forward_demodulation,[],[f1143,f1009]) ).
fof(f1149,plain,
sF7 = mult(sF4,sF4),
inference(forward_demodulation,[],[f1146,f29]) ).
fof(f1179,plain,
! [X0] : mult(mult(X0,sF6),sF4) = mult(mult(X0,mult(sF6,sF6)),sF8),
inference(superposition,[],[f923,f116]) ).
fof(f1193,plain,
! [X0] : mult(mult(X0,sF6),sF4) = mult(X0,mult(sF6,mult(sF6,sF8))),
inference(forward_demodulation,[],[f1179,f127]) ).
fof(f1198,plain,
! [X0] : mult(mult(X0,op_b),sF8) = mult(mult(X0,sF6),sF4),
inference(forward_demodulation,[],[f1193,f1142]) ).
fof(f1202,plain,
! [X0] : mult(X0,sF9) = mult(mult(X0,sF6),sF4),
inference(forward_demodulation,[],[f1198,f871]) ).
fof(f1218,plain,
! [X0] : mult(mult(X0,sF3),sF9) = mult(mult(X0,mult(sF3,sF6)),sF4),
inference(superposition,[],[f1202,f322]) ).
fof(f1223,plain,
mult(op_b,sF9) = mult(sF7,sF4),
inference(superposition,[],[f1202,f29]) ).
fof(f1227,plain,
! [X0] : mult(mult(X0,sF6),mult(sF4,sF4)) = mult(mult(X0,sF9),sF4),
inference(superposition,[],[f116,f1202]) ).
fof(f1230,plain,
! [X0] : mult(mult(X0,sF9),sF4) = mult(mult(X0,sF6),sF7),
inference(forward_demodulation,[],[f1227,f1149]) ).
fof(f1234,plain,
mult(op_b,sF9) = mult(sF4,sF7),
inference(forward_demodulation,[],[f1223,f986]) ).
fof(f1238,plain,
! [X0] : mult(mult(X0,sF3),sF9) = mult(mult(X0,sF8),sF4),
inference(forward_demodulation,[],[f1218,f420]) ).
fof(f1240,plain,
unit = mult(sF4,sF7),
inference(forward_demodulation,[],[f1234,f47]) ).
fof(f1242,plain,
! [X0] : mult(X0,mult(sF3,sF9)) = mult(mult(X0,sF8),sF4),
inference(forward_demodulation,[],[f1238,f322]) ).
fof(f1248,plain,
! [X0] : mult(X0,op_b) = mult(mult(X0,sF8),sF4),
inference(forward_demodulation,[],[f1242,f511]) ).
fof(f1251,plain,
mult(unit,sF8) = mult(sF4,sF5),
inference(superposition,[],[f589,f1240]) ).
fof(f1258,plain,
sF8 = mult(sF4,sF5),
inference(forward_demodulation,[],[f1251,f6]) ).
fof(f1261,plain,
sF8 = mult(sF6,sF3),
inference(backward_demodulation,[],[f1100,f1258]) ).
fof(f1262,plain,
! [X0] : mult(mult(X0,op_b),op_b) = mult(mult(X0,sF9),sF4),
inference(superposition,[],[f1248,f871]) ).
fof(f1295,plain,
! [X0] : mult(mult(X0,op_b),op_b) = mult(mult(X0,sF6),sF7),
inference(forward_demodulation,[],[f1262,f1230]) ).
fof(f1302,plain,
! [X0] : mult(X0,mult(op_b,op_b)) = mult(mult(X0,sF6),sF7),
inference(forward_demodulation,[],[f1295,f116]) ).
fof(f1306,plain,
! [X0] : mult(X0,sF3) = mult(mult(X0,sF6),sF7),
inference(forward_demodulation,[],[f1302,f21]) ).
fof(f1313,plain,
! [X0] : mult(X0,sF7) = mult(rd(X0,sF6),sF3),
inference(superposition,[],[f1306,f3]) ).
fof(f1318,plain,
! [X0] : mult(mult(X0,sF3),sF8) = mult(mult(X0,sF6),sF5),
inference(superposition,[],[f589,f1306]) ).
fof(f1325,plain,
! [X0] : mult(X0,mult(sF3,sF8)) = mult(mult(X0,sF6),sF5),
inference(forward_demodulation,[],[f1318,f322]) ).
fof(f1336,plain,
! [X0] : mult(X0,unit) = mult(mult(X0,sF6),sF5),
inference(forward_demodulation,[],[f1325,f551]) ).
fof(f1341,plain,
! [X0] : mult(mult(X0,sF6),sF5) = X0,
inference(forward_demodulation,[],[f1336,f5]) ).
fof(f1344,plain,
! [X0] : mult(X0,sF3) = mult(mult(X0,mult(sF3,sF6)),sF5),
inference(superposition,[],[f1341,f322]) ).
fof(f1345,plain,
! [X0] : mult(X0,sF6) = mult(mult(X0,mult(sF6,sF6)),sF5),
inference(superposition,[],[f1341,f116]) ).
fof(f1347,plain,
! [X0] : mult(X0,sF5) = rd(X0,sF6),
inference(superposition,[],[f1341,f3]) ).
fof(f1353,plain,
! [X0] : mult(X0,sF8) = mult(mult(X0,sF6),sF3),
inference(superposition,[],[f561,f1341]) ).
fof(f1361,plain,
! [X0] : mult(X0,sF7) = mult(mult(X0,sF5),sF3),
inference(backward_demodulation,[],[f1313,f1347]) ).
fof(f1367,plain,
! [X0] : mult(X0,sF6) = mult(X0,mult(sF6,mult(sF6,sF5))),
inference(forward_demodulation,[],[f1345,f127]) ).
fof(f1368,plain,
! [X0] : mult(X0,sF3) = mult(mult(X0,sF8),sF5),
inference(forward_demodulation,[],[f1344,f420]) ).
fof(f1370,plain,
! [X0] : mult(X0,sF6) = mult(mult(X0,op_b),sF5),
inference(forward_demodulation,[],[f1367,f1142]) ).
fof(f1378,plain,
! [X0] : mult(mult(X0,op_b),sF5) = mult(mult(X0,sF4),sF3),
inference(superposition,[],[f1368,f897]) ).
fof(f1382,plain,
! [X0] : mult(mult(X0,sF7),sF5) = mult(mult(X0,sF9),sF3),
inference(superposition,[],[f1368,f841]) ).
fof(f1391,plain,
mult(sF7,sF5) = mult(sF9,sF3),
inference(superposition,[],[f1368,f812]) ).
fof(f1393,plain,
! [X0] : mult(mult(X0,sF3),sF8) = mult(mult(X0,sF8),sF3),
inference(superposition,[],[f561,f1368]) ).
fof(f1399,plain,
! [X0] : mult(X0,mult(sF3,sF8)) = mult(mult(X0,sF8),sF3),
inference(forward_demodulation,[],[f1393,f322]) ).
fof(f1401,plain,
op_b = mult(sF9,sF3),
inference(forward_demodulation,[],[f1391,f990]) ).
fof(f1409,plain,
! [X0] : mult(X0,op_b) = mult(mult(X0,sF9),sF3),
inference(forward_demodulation,[],[f1382,f993]) ).
fof(f1413,plain,
! [X0] : mult(X0,sF6) = mult(mult(X0,sF4),sF3),
inference(forward_demodulation,[],[f1378,f1370]) ).
fof(f1416,plain,
! [X0] : mult(X0,unit) = mult(mult(X0,sF8),sF3),
inference(forward_demodulation,[],[f1399,f551]) ).
fof(f1421,plain,
! [X0] : mult(mult(X0,sF8),sF3) = X0,
inference(forward_demodulation,[],[f1416,f5]) ).
fof(f1425,plain,
! [X0] : mult(X0,sF4) = mult(mult(X0,op_b),sF3),
inference(superposition,[],[f1421,f897]) ).
fof(f1429,plain,
! [X0] : mult(X0,sF9) = mult(mult(X0,sF7),sF3),
inference(superposition,[],[f1421,f841]) ).
fof(f1438,plain,
sF9 = mult(sF7,sF3),
inference(superposition,[],[f1421,f812]) ).
fof(f1607,plain,
mult(op_b,sF6) = mult(sF5,sF3),
inference(superposition,[],[f1413,f25]) ).
fof(f1610,plain,
! [X0,X1] : mult(mult(X0,sF4),mult(sF3,X1)) = mult(mult(X0,sF6),X1),
inference(superposition,[],[f322,f1413]) ).
fof(f1618,plain,
sF7 = mult(sF5,sF3),
inference(forward_demodulation,[],[f1607,f29]) ).
fof(f1632,plain,
! [X0] : mult(sF7,X0) = mult(sF5,mult(sF3,X0)),
inference(superposition,[],[f322,f1618]) ).
fof(f1711,plain,
! [X0] : mult(op_b,X0) = mult(sF9,mult(sF3,X0)),
inference(superposition,[],[f322,f1401]) ).
fof(f1793,plain,
! [X0,X1] : mult(mult(X0,sF7),X1) = mult(mult(X0,sF5),mult(sF3,X1)),
inference(superposition,[],[f322,f1361]) ).
fof(f1868,plain,
! [X0,X1] : mult(mult(X0,sF7),mult(sF3,X1)) = mult(mult(X0,sF9),X1),
inference(superposition,[],[f322,f1429]) ).
fof(f2072,plain,
! [X0,X1] : mult(mult(X0,sF4),X1) = mult(mult(X0,op_b),mult(sF3,X1)),
inference(superposition,[],[f322,f1425]) ).
fof(f2159,plain,
! [X0] : mult(sF8,X0) = mult(sF6,mult(sF3,X0)),
inference(superposition,[],[f322,f1261]) ).
fof(f2180,plain,
! [X0,X1] : mult(mult(X0,sF8),X1) = mult(mult(X0,sF6),mult(sF3,X1)),
inference(superposition,[],[f322,f1353]) ).
fof(f2318,plain,
! [X0,X1] : mult(mult(X0,op_b),X1) = mult(mult(X0,sF9),mult(sF3,X1)),
inference(superposition,[],[f322,f1409]) ).
fof(f2480,plain,
! [X0] : mult(sF9,X0) = mult(sF7,mult(sF3,X0)),
inference(superposition,[],[f322,f1438]) ).
fof(f3039,plain,
! [X0] : mult(sF3,mult(sF3,X0)) = mult(sF5,X0),
inference(superposition,[],[f322,f442]) ).
fof(f3046,plain,
! [X0,X1] : mult(mult(X0,sF5),X1) = mult(X0,mult(sF5,X1)),
inference(backward_demodulation,[],[f434,f3039]) ).
fof(f3050,plain,
! [X0,X1] : mult(mult(X0,sF7),X1) = mult(X0,mult(sF5,mult(sF3,X1))),
inference(backward_demodulation,[],[f1793,f3046]) ).
fof(f3059,plain,
! [X0,X1] : mult(mult(X0,sF7),X1) = mult(X0,mult(sF7,X1)),
inference(forward_demodulation,[],[f3050,f1632]) ).
fof(f3061,plain,
! [X0,X1] : mult(mult(X0,sF9),X1) = mult(X0,mult(sF7,mult(sF3,X1))),
inference(backward_demodulation,[],[f1868,f3059]) ).
fof(f3070,plain,
! [X0,X1] : mult(mult(X0,sF9),X1) = mult(X0,mult(sF9,X1)),
inference(forward_demodulation,[],[f3061,f2480]) ).
fof(f3072,plain,
! [X0,X1] : mult(mult(X0,op_b),X1) = mult(X0,mult(sF9,mult(sF3,X1))),
inference(backward_demodulation,[],[f2318,f3070]) ).
fof(f3081,plain,
! [X0,X1] : mult(X0,mult(op_b,X1)) = mult(mult(X0,op_b),X1),
inference(forward_demodulation,[],[f3072,f1711]) ).
fof(f3084,plain,
! [X0,X1] : mult(mult(X0,sF4),X1) = mult(X0,mult(op_b,mult(sF3,X1))),
inference(backward_demodulation,[],[f2072,f3081]) ).
fof(f3095,plain,
! [X0,X1] : mult(X0,mult(sF4,X1)) = mult(mult(X0,sF4),X1),
inference(forward_demodulation,[],[f3084,f467]) ).
fof(f3097,plain,
! [X0,X1] : mult(mult(X0,sF6),X1) = mult(X0,mult(sF4,mult(sF3,X1))),
inference(backward_demodulation,[],[f1610,f3095]) ).
fof(f3106,plain,
! [X0,X1] : mult(mult(X0,sF6),X1) = mult(X0,mult(sF6,X1)),
inference(forward_demodulation,[],[f3097,f454]) ).
fof(f3107,plain,
! [X0,X1] : mult(mult(X0,sF8),X1) = mult(X0,mult(sF6,mult(sF3,X1))),
inference(backward_demodulation,[],[f2180,f3106]) ).
fof(f3116,plain,
! [X0,X1] : mult(mult(X0,sF8),X1) = mult(X0,mult(sF8,X1)),
inference(forward_demodulation,[],[f3107,f2159]) ).
fof(f3135,plain,
! [X0] : mult(sF7,X0) = mult(op_b,mult(sF6,X0)),
inference(superposition,[],[f3106,f29]) ).
fof(f3138,plain,
! [X0] : mult(op_b,X0) = mult(sF6,mult(sF6,X0)),
inference(superposition,[],[f3106,f1108]) ).
fof(f3177,plain,
! [X0] : mult(sF7,X0) = ld(sF4,X0),
inference(backward_demodulation,[],[f1003,f3135]) ).
fof(f3190,plain,
! [X0] : ld(sF6,X0) = ld(sF3,mult(sF7,X0)),
inference(backward_demodulation,[],[f528,f3177]) ).
fof(f3322,plain,
! [X0,X1] : mult(mult(X0,sF8),mult(sF7,X1)) = mult(mult(X0,mult(sF8,sF7)),X1),
inference(superposition,[],[f3059,f3116]) ).
fof(f3327,plain,
! [X0] : mult(sF8,X0) = mult(op_b,mult(sF7,X0)),
inference(superposition,[],[f3059,f31]) ).
fof(f3372,plain,
! [X0,X1] : mult(mult(X0,sF5),X1) = mult(mult(X0,sF8),mult(sF7,X1)),
inference(forward_demodulation,[],[f3322,f857]) ).
fof(f3394,plain,
! [X0,X1] : mult(mult(X0,sF5),X1) = mult(X0,mult(sF8,mult(sF7,X1))),
inference(forward_demodulation,[],[f3372,f3116]) ).
fof(f3408,plain,
! [X0,X1] : mult(X0,mult(sF5,X1)) = mult(X0,mult(sF8,mult(sF7,X1))),
inference(forward_demodulation,[],[f3394,f3046]) ).
fof(f3641,plain,
! [X0] : ld(op_b,mult(sF7,X0)) = ld(sF3,mult(sF8,X0)),
inference(superposition,[],[f1064,f3327]) ).
fof(f3671,plain,
! [X0] : mult(op_b,mult(sF4,X0)) = mult(sF7,ld(sF3,X0)),
inference(superposition,[],[f3135,f484]) ).
fof(f3684,plain,
! [X0] : mult(sF6,X0) = ld(op_b,mult(sF7,X0)),
inference(superposition,[],[f2,f3135]) ).
fof(f3685,plain,
! [X0] : mult(sF6,X0) = ld(sF3,mult(sF8,X0)),
inference(backward_demodulation,[],[f3641,f3684]) ).
fof(f3704,plain,
! [X0] : mult(sF6,mult(sF6,X0)) = mult(sF4,mult(op_b,mult(sF7,X0))),
inference(superposition,[],[f1042,f3684]) ).
fof(f3707,plain,
! [X0] : mult(sF6,mult(sF6,X0)) = mult(sF4,mult(sF8,X0)),
inference(forward_demodulation,[],[f3704,f3327]) ).
fof(f3715,plain,
! [X0] : mult(op_b,X0) = mult(sF4,mult(sF8,X0)),
inference(forward_demodulation,[],[f3707,f3138]) ).
fof(f3720,plain,
! [X0] : ld(sF3,mult(sF8,X0)) = ld(sF6,mult(op_b,X0)),
inference(superposition,[],[f493,f3715]) ).
fof(f3725,plain,
! [X0] : mult(sF8,X0) = ld(sF4,mult(op_b,X0)),
inference(superposition,[],[f2,f3715]) ).
fof(f3726,plain,
! [X0] : mult(sF8,X0) = mult(sF7,mult(op_b,X0)),
inference(forward_demodulation,[],[f3725,f3177]) ).
fof(f3729,plain,
! [X0] : mult(sF6,X0) = ld(sF6,mult(op_b,X0)),
inference(forward_demodulation,[],[f3720,f3685]) ).
fof(f3733,plain,
! [X0] : mult(sF6,mult(sF3,X0)) = ld(sF6,mult(sF4,X0)),
inference(superposition,[],[f3729,f467]) ).
fof(f3738,plain,
mult(sF6,a) = ld(sF6,sF11),
inference(superposition,[],[f3729,f38]) ).
fof(f3746,plain,
! [X0] : ld(sF6,X0) = mult(sF6,ld(op_b,X0)),
inference(superposition,[],[f3729,f1]) ).
fof(f3751,plain,
! [X0] : mult(sF4,mult(op_b,X0)) = ld(sF6,X0),
inference(backward_demodulation,[],[f1042,f3746]) ).
fof(f3762,plain,
! [X0] : ld(sF3,X0) = mult(sF6,mult(sF3,X0)),
inference(forward_demodulation,[],[f3733,f493]) ).
fof(f3766,plain,
! [X0] : mult(sF8,X0) = ld(sF3,X0),
inference(forward_demodulation,[],[f3762,f2159]) ).
fof(f3769,plain,
! [X0] : mult(sF8,X0) = ld(sF6,mult(sF4,X0)),
inference(backward_demodulation,[],[f493,f3766]) ).
fof(f3776,plain,
! [X0] : mult(op_b,mult(sF4,X0)) = mult(sF7,mult(sF8,X0)),
inference(backward_demodulation,[],[f3671,f3766]) ).
fof(f3780,plain,
! [X0] : ld(sF6,X0) = mult(sF8,mult(sF7,X0)),
inference(backward_demodulation,[],[f3190,f3766]) ).
fof(f3792,plain,
! [X0,X1] : mult(X0,mult(sF5,X1)) = mult(X0,ld(sF6,X1)),
inference(backward_demodulation,[],[f3408,f3780]) ).
fof(f4001,plain,
! [X0] : mult(sF7,mult(sF8,X0)) = mult(sF8,mult(sF7,X0)),
inference(superposition,[],[f3726,f3327]) ).
fof(f4034,plain,
! [X0] : ld(sF6,X0) = mult(sF7,mult(sF8,X0)),
inference(forward_demodulation,[],[f4001,f3780]) ).
fof(f4037,plain,
! [X0] : mult(op_b,mult(sF4,X0)) = ld(sF6,X0),
inference(backward_demodulation,[],[f3776,f4034]) ).
fof(f4051,plain,
! [X0] : ld(sF6,mult(sF4,X0)) = mult(sF4,ld(sF6,X0)),
inference(superposition,[],[f3751,f4037]) ).
fof(f4062,plain,
! [X0] : ld(sF6,mult(sF4,X0)) = mult(sF4,mult(sF5,X0)),
inference(forward_demodulation,[],[f4051,f3792]) ).
fof(f4077,plain,
! [X0] : mult(sF8,X0) = mult(sF4,mult(sF5,X0)),
inference(forward_demodulation,[],[f4062,f3769]) ).
fof(f4133,plain,
! [X0] : mult(sF5,X0) = ld(sF4,mult(sF8,X0)),
inference(superposition,[],[f2,f4077]) ).
fof(f4134,plain,
! [X0] : mult(sF5,X0) = mult(sF7,mult(sF8,X0)),
inference(forward_demodulation,[],[f4133,f3177]) ).
fof(f4146,plain,
! [X0] : mult(sF5,X0) = ld(sF6,X0),
inference(backward_demodulation,[],[f4034,f4134]) ).
fof(f4177,plain,
mult(sF6,a) = mult(sF5,sF11),
inference(backward_demodulation,[],[f3738,f4146]) ).
fof(f4183,plain,
! [X0] : mult(sF6,mult(sF5,X0)) = X0,
inference(superposition,[],[f1,f4146]) ).
fof(f7030,plain,
! [X0] : mult(X0,mult(sF6,sF6)) = rd(mult(X0,mult(sF6,mult(sF5,sF11))),a),
inference(superposition,[],[f125,f4177]) ).
fof(f7267,plain,
! [X0] : mult(X0,mult(sF6,sF6)) = rd(mult(X0,sF11),a),
inference(forward_demodulation,[],[f7030,f4183]) ).
fof(f7424,plain,
! [X0] : mult(X0,op_b) = rd(mult(X0,sF11),a),
inference(forward_demodulation,[],[f7267,f1108]) ).
fof(f7771,plain,
mult(op_a,op_b) = rd(sF12,a),
inference(superposition,[],[f7424,f40]) ).
fof(f7776,plain,
sF13 = rd(sF12,a),
inference(forward_demodulation,[],[f7771,f42]) ).
fof(f7797,plain,
sF12 = mult(sF13,a),
inference(superposition,[],[f3,f7776]) ).
fof(f7798,plain,
sF12 = sF14,
inference(backward_demodulation,[],[f44,f7797]) ).
fof(f7799,plain,
$false,
inference(forward_subsumption_resolution,[],[f7798,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP705-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n010.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 10:37:16 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 10.48/2.53 % (770798)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.48/2.53 % (770808)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1766333665:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.48/2.53 % (770806)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=754670206:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.48/2.53 % (770804)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=3396548428:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.48/2.53 % (770805)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=311773628:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.48/2.53 % (770809)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2362442846:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.48/2.53 % (770807)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2079943080:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.48/2.53 % (770803)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=894929861:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.48/2.53 % (770808)Instruction limit reached!
% 10.48/2.53 % (770808)------------------------------
% 10.48/2.53 % (770808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770808)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770808)Termination reason: Instruction limit
% 10.48/2.53 % (770808)Termination phase: Saturation
% 10.48/2.53 % (770808)Time elapsed: 0.066 s
% 10.48/2.53 % (770808)Peak memory usage: 92 MB
% 10.48/2.53 % (770808)Instructions burned: 261 (million)
% 10.48/2.53 % (770806)Instruction limit reached!
% 10.48/2.53 % (770806)------------------------------
% 10.48/2.53 % (770806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770806)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770806)Termination reason: Instruction limit
% 10.48/2.53 % (770806)Termination phase: Saturation
% 10.48/2.53 % (770806)Time elapsed: 0.065 s
% 10.48/2.53 % (770806)Peak memory usage: 89 MB
% 10.48/2.53 % (770806)Instructions burned: 138 (million)
% 10.48/2.53 % (770807)Instruction limit reached!
% 10.48/2.53 % (770807)------------------------------
% 10.48/2.53 % (770807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770807)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770807)Termination reason: Instruction limit
% 10.48/2.53 % (770807)Termination phase: Saturation
% 10.48/2.53 % (770807)Time elapsed: 0.107 s
% 10.48/2.53 % (770807)Peak memory usage: 89 MB
% 10.48/2.53 % (770807)Instructions burned: 182 (million)
% 10.48/2.53 % (770817)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3862319799:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 10.48/2.53 % (770818)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=422169825:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.48/2.53 % (770819)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1280342784:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 10.48/2.53 % (770819)Instruction limit reached!
% 10.48/2.53 % (770819)------------------------------
% 10.48/2.53 % (770819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770819)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770819)Termination reason: Instruction limit
% 10.48/2.53 % (770819)Termination phase: Saturation
% 10.48/2.53 % (770819)Time elapsed: 0.119 s
% 10.48/2.53 % (770819)Peak memory usage: 90 MB
% 10.48/2.53 % (770819)Instructions burned: 216 (million)
% 10.48/2.53 % (770823)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=4267607908:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 10.48/2.53 % (770809)Instruction limit reached!
% 10.48/2.53 % (770809)------------------------------
% 10.48/2.53 % (770809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770809)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770809)Termination reason: Instruction limit
% 10.48/2.53 % (770809)Termination phase: Saturation
% 10.48/2.53 % (770809)Time elapsed: 0.650 s
% 10.48/2.53 % (770809)Peak memory usage: 99 MB
% 10.48/2.53 % (770809)Instructions burned: 1188 (million)
% 10.48/2.53 % (770823)Instruction limit reached!
% 10.48/2.53 % (770823)------------------------------
% 10.48/2.53 % (770823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770823)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770823)Termination reason: Instruction limit
% 10.48/2.53 % (770823)Termination phase: Saturation
% 10.48/2.53 % (770823)Time elapsed: 0.190 s
% 10.48/2.53 % (770823)Peak memory usage: 94 MB
% 10.48/2.53 % (770823)Instructions burned: 317 (million)
% 10.48/2.53 % (770825)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=3902708788:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 10.48/2.53 % (770817)Instruction limit reached!
% 10.48/2.53 % (770817)------------------------------
% 10.48/2.53 % (770817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.53 % (770817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.53 % (770817)CaDiCaL version: 2.1.3
% 10.48/2.53 % (770817)Termination reason: Instruction limit
% 10.48/2.53 % (770817)Termination phase: Saturation
% 10.48/2.53 % (770817)Time elapsed: 0.740 s
% 10.48/2.53 % (770817)Peak memory usage: 141 MB
% 10.48/2.53 % (770817)Instructions burned: 2054 (million)
% 10.48/2.53 % (770826)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4201640316:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 10.48/2.53 % (770828)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2368070937:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 10.48/2.53 % (770805)First to succeed.
% 10.48/2.53 % (770805)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-770798"
% 10.48/2.53 % (770804)Also succeeded, but the first one will report.
% 10.48/2.53 % (770805)Refutation found. Thanks to Tanya!
% 10.48/2.53 % SZS status Unsatisfiable for theBenchmark
% 10.48/2.53 % SZS output start Proof for theBenchmark
% See solution above
% 12.51/2.73 % (770805)------------------------------
% 12.51/2.73 % (770805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/2.73 % (770805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.73 % (770805)CaDiCaL version: 2.1.3
% 12.51/2.73 % (770805)Termination reason: Refutation
% 12.51/2.73 % (770805)Time elapsed: 1.240 s
% 12.51/2.73 % (770805)Peak memory usage: 136 MB
% 12.51/2.73 % (770805)Instructions burned: 1911 (million)
% 12.51/2.73 % (770805)------------------------------
% 12.51/2.73 % (770805)------------------------------
% 12.51/2.73 % (770798)Success in time 1.683 s
% 12.51/2.73 % Vampire exiting
%------------------------------------------------------------------------------