%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG240-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:32 AM UTC 2026
% Result : Unsatisfiable 11.05s 2.18s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 14
% Syntax : Number of formulae : 137 ( 137 unt; 9 def)
% Number of atoms : 137 ( 131 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))) = mult(mult(X0,X2),mult(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X2),mult(X1,X3)) = mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3)))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))) = mult(mult(X0,X1),mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f6,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),mult(X2,X3)) = mult(mult(mult(mult(X0,X1),mult(X2,X3)),mult(mult(X0,X2),mult(X1,X3))),mult(mult(X0,X2),mult(X1,X3))),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d))) != mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f8,definition,
~ sP0(mult(mult(mult(a,b),mult(c,d)),mult(mult(a,c),mult(b,d)))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f9,plain,
sP0(mult(mult(mult(a,c),mult(b,d)),mult(mult(a,b),mult(c,d)))),
inference(inequality_splitting,[],[f7,f8]) ).
fof(f10,definition,
sF1 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
mult(a,b) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF2 = mult(c,d),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
mult(c,d) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = mult(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
mult(sF1,sF2) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = mult(a,c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
mult(a,c) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF5 = mult(b,d),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
mult(b,d) = sF5,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF6 = mult(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f21,plain,
mult(sF4,sF5) = sF6,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF7 = mult(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f23,plain,
mult(sF3,sF6) = sF7,
inference(reorient_equations,[],[f22]) ).
fof(f24,plain,
~ sP0(sF7),
inference(definition_folding,[],[f8,f23,f21,f19,f17,f15,f13,f11]) ).
fof(f25,definition,
sF8 = mult(sF6,sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f26,plain,
mult(sF6,sF3) = sF8,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sP0(sF8),
inference(definition_folding,[],[f9,f26,f15,f13,f11,f21,f19,f17]) ).
fof(f28,plain,
sF3 = mult(sF1,mult(c,d)),
inference(forward_demodulation,[],[f15,f13]) ).
fof(f29,plain,
mult(mult(a,b),mult(c,d)) = sF3,
inference(forward_demodulation,[],[f28,f11]) ).
fof(f34,plain,
! [X0] : mult(sF3,mult(sF6,X0)) = mult(sF7,mult(sF3,X0)),
inference(superposition,[],[f1,f23]) ).
fof(f36,plain,
! [X0] : mult(sF6,mult(sF3,X0)) = mult(sF8,mult(sF6,X0)),
inference(superposition,[],[f1,f26]) ).
fof(f41,plain,
! [X0] : mult(sF3,mult(X0,sF6)) = mult(mult(sF3,X0),sF7),
inference(superposition,[],[f1,f23]) ).
fof(f43,plain,
! [X0] : mult(sF6,mult(X0,sF3)) = mult(mult(sF6,X0),sF8),
inference(superposition,[],[f1,f26]) ).
fof(f58,plain,
mult(sF7,mult(sF3,sF3)) = mult(sF3,sF8),
inference(superposition,[],[f34,f26]) ).
fof(f68,plain,
mult(sF8,mult(sF6,sF6)) = mult(sF6,sF7),
inference(superposition,[],[f36,f23]) ).
fof(f85,plain,
mult(mult(sF3,sF3),sF7) = mult(sF3,sF7),
inference(superposition,[],[f41,f23]) ).
fof(f127,plain,
! [X0] : mult(mult(sF3,X0),sF6) = mult(sF7,mult(X0,sF6)),
inference(superposition,[],[f2,f23]) ).
fof(f138,plain,
! [X0] : mult(mult(sF6,X0),sF3) = mult(sF8,mult(X0,sF3)),
inference(superposition,[],[f2,f26]) ).
fof(f154,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(mult(X0,sF6),sF7),
inference(superposition,[],[f2,f23]) ).
fof(f165,plain,
! [X0] : mult(mult(X0,sF6),sF3) = mult(mult(X0,sF3),sF8),
inference(superposition,[],[f2,f26]) ).
fof(f171,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X1),X0),
inference(superposition,[],[f1,f2]) ).
fof(f207,plain,
mult(sF7,mult(sF6,sF6)) = mult(sF7,sF6),
inference(superposition,[],[f127,f23]) ).
fof(f215,plain,
mult(sF7,sF6) = mult(mult(sF7,sF7),sF6),
inference(forward_demodulation,[],[f207,f171]) ).
fof(f278,plain,
mult(mult(a,c),mult(b,d)) = mult(sF3,mult(sF3,mult(mult(a,c),mult(b,d)))),
inference(superposition,[],[f4,f29]) ).
fof(f354,plain,
mult(mult(a,c),sF5) = mult(sF3,mult(sF3,mult(mult(a,c),sF5))),
inference(forward_demodulation,[],[f278,f19]) ).
fof(f364,plain,
mult(sF4,sF5) = mult(sF3,mult(sF3,mult(sF4,sF5))),
inference(forward_demodulation,[],[f354,f17]) ).
fof(f372,plain,
sF6 = mult(sF3,mult(sF3,sF6)),
inference(forward_demodulation,[],[f364,f21]) ).
fof(f377,plain,
sF6 = mult(mult(sF3,sF3),sF7),
inference(forward_demodulation,[],[f372,f41]) ).
fof(f382,plain,
sF6 = mult(sF3,mult(sF7,sF7)),
inference(forward_demodulation,[],[f377,f171]) ).
fof(f391,plain,
mult(sF6,sF6) = mult(sF7,mult(mult(sF7,sF7),sF6)),
inference(superposition,[],[f127,f382]) ).
fof(f392,plain,
mult(sF6,sF6) = mult(sF8,mult(sF6,mult(sF7,sF7))),
inference(superposition,[],[f36,f382]) ).
fof(f403,plain,
mult(sF6,sF6) = mult(sF7,mult(sF7,sF6)),
inference(forward_demodulation,[],[f391,f215]) ).
fof(f404,plain,
mult(mult(sF3,mult(sF7,sF7)),sF7) = mult(sF3,mult(sF7,sF6)),
inference(superposition,[],[f41,f215]) ).
fof(f415,plain,
mult(mult(sF3,mult(sF7,sF7)),sF7) = mult(mult(sF3,sF7),sF7),
inference(forward_demodulation,[],[f404,f41]) ).
fof(f417,plain,
mult(sF6,sF7) = mult(mult(sF3,sF7),sF7),
inference(forward_demodulation,[],[f415,f382]) ).
fof(f418,plain,
! [X0] : mult(sF7,mult(mult(sF7,sF6),X0)) = mult(mult(sF6,sF6),mult(sF7,X0)),
inference(superposition,[],[f1,f403]) ).
fof(f420,plain,
! [X0] : mult(mult(X0,sF7),mult(sF7,sF6)) = mult(mult(X0,mult(sF7,sF6)),mult(sF6,sF6)),
inference(superposition,[],[f2,f403]) ).
fof(f421,plain,
! [X0] : mult(mult(sF7,X0),mult(sF7,sF6)) = mult(mult(sF6,sF6),mult(X0,mult(sF7,sF6))),
inference(superposition,[],[f2,f403]) ).
fof(f426,plain,
! [X0] : mult(sF7,mult(X0,sF6)) = mult(mult(sF6,sF6),mult(X0,mult(sF7,sF6))),
inference(forward_demodulation,[],[f421,f1]) ).
fof(f428,plain,
! [X0] : mult(mult(sF3,sF7),mult(X0,sF7)) = mult(mult(mult(sF3,sF7),X0),mult(sF6,sF7)),
inference(superposition,[],[f1,f417]) ).
fof(f437,plain,
! [X0] : mult(mult(sF3,X0),sF7) = mult(mult(mult(sF3,sF7),X0),mult(sF6,sF7)),
inference(forward_demodulation,[],[f428,f2]) ).
fof(f525,plain,
mult(mult(sF6,sF6),sF7) = mult(sF8,sF6),
inference(superposition,[],[f154,f26]) ).
fof(f536,plain,
mult(sF6,mult(sF7,sF7)) = mult(sF8,sF6),
inference(forward_demodulation,[],[f525,f171]) ).
fof(f538,plain,
mult(sF6,sF6) = mult(sF8,mult(sF8,sF6)),
inference(backward_demodulation,[],[f392,f536]) ).
fof(f540,plain,
mult(sF7,mult(sF3,mult(sF7,sF7))) = mult(sF3,mult(sF8,sF6)),
inference(superposition,[],[f34,f536]) ).
fof(f549,plain,
mult(sF7,mult(sF3,mult(sF7,sF7))) = mult(mult(sF3,sF8),sF7),
inference(forward_demodulation,[],[f540,f41]) ).
fof(f551,plain,
mult(sF7,sF6) = mult(mult(sF3,sF8),sF7),
inference(forward_demodulation,[],[f549,f382]) ).
fof(f552,plain,
! [X0] : mult(mult(sF6,sF6),mult(sF8,X0)) = mult(sF8,mult(mult(sF8,sF6),X0)),
inference(superposition,[],[f1,f538]) ).
fof(f645,plain,
mult(sF3,sF8) = mult(mult(sF7,sF7),sF3),
inference(superposition,[],[f58,f171]) ).
fof(f647,plain,
mult(sF3,sF7) = mult(sF3,mult(sF7,sF7)),
inference(superposition,[],[f85,f171]) ).
fof(f666,plain,
sF6 = mult(sF3,sF7),
inference(forward_demodulation,[],[f647,f382]) ).
fof(f686,plain,
! [X0] : mult(mult(sF3,X0),sF7) = mult(mult(sF6,X0),mult(sF6,sF7)),
inference(backward_demodulation,[],[f437,f666]) ).
fof(f687,plain,
! [X0] : mult(mult(sF3,X0),sF7) = mult(sF6,mult(X0,sF7)),
inference(forward_demodulation,[],[f686,f1]) ).
fof(f690,plain,
! [X0] : mult(sF3,mult(X0,sF6)) = mult(sF6,mult(X0,sF7)),
inference(backward_demodulation,[],[f41,f687]) ).
fof(f707,plain,
mult(sF7,sF6) = mult(sF6,mult(sF8,sF7)),
inference(backward_demodulation,[],[f551,f687]) ).
fof(f716,plain,
! [X0] : mult(mult(sF3,X0),sF6) = mult(sF3,mult(X0,sF7)),
inference(superposition,[],[f1,f666]) ).
fof(f725,plain,
! [X0] : mult(sF7,mult(X0,sF6)) = mult(sF3,mult(X0,sF7)),
inference(forward_demodulation,[],[f716,f127]) ).
fof(f729,plain,
sF6 = mult(sF7,mult(sF7,sF6)),
inference(backward_demodulation,[],[f382,f725]) ).
fof(f730,plain,
sF6 = mult(sF6,sF6),
inference(backward_demodulation,[],[f403,f729]) ).
fof(f732,plain,
mult(sF6,sF7) = mult(sF8,sF6),
inference(backward_demodulation,[],[f68,f730]) ).
fof(f753,plain,
! [X0] : mult(sF7,mult(mult(sF7,sF6),X0)) = mult(sF6,mult(sF7,X0)),
inference(backward_demodulation,[],[f418,f730]) ).
fof(f755,plain,
! [X0] : mult(mult(X0,sF7),mult(sF7,sF6)) = mult(mult(X0,mult(sF7,sF6)),sF6),
inference(backward_demodulation,[],[f420,f730]) ).
fof(f760,plain,
! [X0] : mult(sF7,mult(X0,sF6)) = mult(sF6,mult(X0,mult(sF7,sF6))),
inference(backward_demodulation,[],[f426,f730]) ).
fof(f769,plain,
! [X0] : mult(sF8,mult(mult(sF8,sF6),X0)) = mult(sF6,mult(sF8,X0)),
inference(backward_demodulation,[],[f552,f730]) ).
fof(f803,plain,
mult(sF3,sF6) = mult(sF7,mult(sF3,sF6)),
inference(superposition,[],[f34,f730]) ).
fof(f804,plain,
! [X0] : mult(sF6,X0) = mult(sF6,mult(X0,X0)),
inference(superposition,[],[f171,f730]) ).
fof(f807,plain,
! [X0] : mult(sF6,mult(X0,sF6)) = mult(mult(sF6,X0),sF6),
inference(superposition,[],[f2,f730]) ).
fof(f819,plain,
sF7 = mult(sF7,sF7),
inference(forward_demodulation,[],[f803,f23]) ).
fof(f848,plain,
mult(sF3,sF8) = mult(sF7,sF3),
inference(backward_demodulation,[],[f645,f819]) ).
fof(f884,plain,
! [X0] : mult(sF7,X0) = mult(sF7,mult(X0,X0)),
inference(superposition,[],[f171,f819]) ).
fof(f956,plain,
mult(mult(sF7,sF6),sF3) = mult(sF8,mult(mult(sF8,sF7),sF3)),
inference(superposition,[],[f138,f707]) ).
fof(f957,plain,
mult(sF3,mult(sF7,sF6)) = mult(sF7,mult(sF3,mult(sF8,sF7))),
inference(superposition,[],[f34,f707]) ).
fof(f966,plain,
mult(sF3,mult(sF7,sF6)) = mult(sF7,mult(sF7,mult(sF8,sF6))),
inference(forward_demodulation,[],[f957,f725]) ).
fof(f967,plain,
mult(mult(sF7,sF3),sF8) = mult(sF8,mult(mult(sF8,sF7),sF3)),
inference(forward_demodulation,[],[f956,f165]) ).
fof(f968,plain,
mult(sF6,mult(sF7,sF7)) = mult(sF7,mult(sF7,mult(sF8,sF6))),
inference(forward_demodulation,[],[f966,f690]) ).
fof(f969,plain,
mult(mult(sF3,sF8),sF8) = mult(sF8,mult(mult(sF8,sF7),sF3)),
inference(forward_demodulation,[],[f967,f848]) ).
fof(f970,plain,
mult(sF6,sF7) = mult(sF7,mult(sF7,mult(sF8,sF6))),
inference(forward_demodulation,[],[f968,f804]) ).
fof(f971,plain,
mult(sF8,sF6) = mult(sF7,mult(sF7,mult(sF8,sF6))),
inference(forward_demodulation,[],[f970,f732]) ).
fof(f1143,plain,
sF3 = mult(mult(sF3,mult(mult(a,c),mult(b,d))),mult(mult(a,c),mult(b,d))),
inference(superposition,[],[f6,f29]) ).
fof(f1277,plain,
sF3 = mult(mult(sF3,mult(mult(a,c),sF5)),mult(mult(a,c),sF5)),
inference(forward_demodulation,[],[f1143,f19]) ).
fof(f1303,plain,
sF3 = mult(mult(sF3,mult(sF4,sF5)),mult(sF4,sF5)),
inference(forward_demodulation,[],[f1277,f17]) ).
fof(f1329,plain,
sF3 = mult(mult(sF3,sF6),sF6),
inference(forward_demodulation,[],[f1303,f21]) ).
fof(f1355,plain,
sF3 = mult(sF7,mult(sF6,sF6)),
inference(forward_demodulation,[],[f1329,f127]) ).
fof(f1394,plain,
sF3 = mult(sF7,sF6),
inference(forward_demodulation,[],[f1355,f884]) ).
fof(f1523,plain,
sF3 = mult(sF6,mult(sF8,sF7)),
inference(backward_demodulation,[],[f707,f1394]) ).
fof(f1524,plain,
sF6 = mult(sF7,sF3),
inference(backward_demodulation,[],[f729,f1394]) ).
fof(f1525,plain,
! [X0] : mult(sF7,mult(sF3,X0)) = mult(sF6,mult(sF7,X0)),
inference(backward_demodulation,[],[f753,f1394]) ).
fof(f1527,plain,
! [X0] : mult(mult(X0,sF3),sF6) = mult(mult(X0,sF7),sF3),
inference(backward_demodulation,[],[f755,f1394]) ).
fof(f1532,plain,
! [X0] : mult(sF6,mult(X0,sF3)) = mult(sF7,mult(X0,sF6)),
inference(backward_demodulation,[],[f760,f1394]) ).
fof(f1627,plain,
! [X0] : mult(mult(sF6,X0),sF8) = mult(sF7,mult(X0,sF6)),
inference(forward_demodulation,[],[f1532,f43]) ).
fof(f1628,plain,
! [X0] : mult(mult(X0,sF6),sF7) = mult(mult(X0,sF7),sF3),
inference(forward_demodulation,[],[f1527,f154]) ).
fof(f1630,plain,
! [X0] : mult(sF3,mult(sF6,X0)) = mult(sF6,mult(sF7,X0)),
inference(backward_demodulation,[],[f34,f1525]) ).
fof(f1649,plain,
sF6 = mult(sF3,sF8),
inference(backward_demodulation,[],[f848,f1524]) ).
fof(f1713,plain,
mult(sF8,sF6) = mult(sF7,mult(mult(sF6,sF8),sF8)),
inference(backward_demodulation,[],[f971,f1627]) ).
fof(f1717,plain,
mult(mult(sF3,sF8),sF8) = mult(sF8,mult(mult(sF8,sF6),sF7)),
inference(backward_demodulation,[],[f969,f1628]) ).
fof(f1762,plain,
mult(mult(sF3,sF8),sF8) = mult(sF6,mult(sF8,sF7)),
inference(forward_demodulation,[],[f1717,f769]) ).
fof(f1775,plain,
sF3 = mult(mult(sF3,sF8),sF8),
inference(forward_demodulation,[],[f1762,f1523]) ).
fof(f1794,plain,
sF3 = mult(sF6,sF8),
inference(forward_demodulation,[],[f1775,f1649]) ).
fof(f1801,plain,
mult(sF8,sF6) = mult(sF7,mult(sF3,sF8)),
inference(backward_demodulation,[],[f1713,f1794]) ).
fof(f1807,plain,
mult(sF8,sF6) = mult(sF6,mult(sF7,sF8)),
inference(forward_demodulation,[],[f1801,f1525]) ).
fof(f1812,plain,
! [X0] : mult(mult(X0,sF6),sF3) = mult(mult(X0,sF7),sF6),
inference(superposition,[],[f2,f1394]) ).
fof(f1823,plain,
! [X0] : mult(mult(X0,sF3),sF8) = mult(mult(X0,sF7),sF6),
inference(backward_demodulation,[],[f165,f1812]) ).
fof(f1877,plain,
! [X0] : mult(mult(X0,sF3),sF8) = mult(mult(X0,sF8),sF6),
inference(superposition,[],[f2,f1649]) ).
fof(f1887,plain,
! [X0] : mult(mult(X0,sF7),sF6) = mult(mult(X0,sF8),sF6),
inference(backward_demodulation,[],[f1823,f1877]) ).
fof(f1909,plain,
! [X0] : mult(sF3,mult(sF6,X0)) = mult(sF6,mult(sF8,X0)),
inference(superposition,[],[f1,f1794]) ).
fof(f1923,plain,
! [X0] : mult(sF6,mult(sF7,X0)) = mult(sF6,mult(sF8,X0)),
inference(backward_demodulation,[],[f1630,f1909]) ).
fof(f1967,plain,
mult(sF6,mult(sF8,sF8)) = mult(sF8,sF6),
inference(backward_demodulation,[],[f1807,f1923]) ).
fof(f1969,plain,
mult(sF6,sF8) = mult(sF8,sF6),
inference(forward_demodulation,[],[f1967,f804]) ).
fof(f1970,plain,
sF3 = mult(sF8,sF6),
inference(forward_demodulation,[],[f1969,f1794]) ).
fof(f1971,plain,
sF3 = mult(sF6,sF7),
inference(backward_demodulation,[],[f732,f1970]) ).
fof(f2449,plain,
mult(sF3,sF6) = mult(mult(sF6,sF8),sF6),
inference(superposition,[],[f1887,f1971]) ).
fof(f2466,plain,
mult(sF3,sF6) = mult(sF6,mult(sF8,sF6)),
inference(forward_demodulation,[],[f2449,f807]) ).
fof(f2470,plain,
mult(sF3,sF6) = mult(sF6,sF3),
inference(forward_demodulation,[],[f2466,f1970]) ).
fof(f2473,plain,
mult(sF3,sF6) = sF8,
inference(forward_demodulation,[],[f2470,f26]) ).
fof(f2475,plain,
sF7 = sF8,
inference(backward_demodulation,[],[f23,f2473]) ).
fof(f2476,plain,
~ sP0(sF8),
inference(backward_demodulation,[],[f24,f2475]) ).
fof(f2567,plain,
$false,
inference(forward_subsumption_resolution,[],[f2476,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG240-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n019.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 19:58:49 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.05/2.18 % (177118)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.05/2.18 % (177133)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1967587560:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 11.05/2.18 % (177131)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2373862418:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 11.05/2.18 % (177127)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=2555684248:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 11.05/2.18 % (177129)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1437360349:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 11.05/2.18 % (177128)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=2513604411:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 11.05/2.18 % (177130)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2719350638:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 11.05/2.18 % (177132)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=109155883:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 11.05/2.18 % (177130)Instruction limit reached!
% 11.05/2.18 % (177130)------------------------------
% 11.05/2.18 % (177130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.18 % (177130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.18 % (177130)CaDiCaL version: 2.1.3
% 11.05/2.18 % (177130)Termination reason: Instruction limit
% 11.05/2.18 % (177130)Termination phase: Saturation
% 11.05/2.18 % (177130)Time elapsed: 0.135 s
% 11.05/2.18 % (177130)Peak memory usage: 89 MB
% 11.05/2.18 % (177130)Instructions burned: 137 (million)
% 11.05/2.18 % (177131)Instruction limit reached!
% 11.05/2.18 % (177131)------------------------------
% 11.05/2.18 % (177131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.18 % (177131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.18 % (177131)CaDiCaL version: 2.1.3
% 11.05/2.18 % (177131)Termination reason: Instruction limit
% 11.05/2.18 % (177131)Termination phase: Saturation
% 11.05/2.18 % (177131)Time elapsed: 0.163 s
% 11.05/2.18 % (177131)Peak memory usage: 89 MB
% 11.05/2.18 % (177131)Instructions burned: 181 (million)
% 11.05/2.18 % (177132)Instruction limit reached!
% 11.05/2.18 % (177132)------------------------------
% 11.05/2.18 % (177132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.18 % (177132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.18 % (177132)CaDiCaL version: 2.1.3
% 11.05/2.18 % (177132)Termination reason: Instruction limit
% 11.05/2.18 % (177132)Termination phase: Saturation
% 11.05/2.18 % (177132)Time elapsed: 0.260 s
% 11.05/2.18 % (177132)Peak memory usage: 90 MB
% 11.05/2.18 % (177132)Instructions burned: 257 (million)
% 11.05/2.18 % (177143)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2200636528:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 11.05/2.18 % (177144)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=708252412:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 11.05/2.18 % (177133)Instruction limit reached!
% 11.05/2.18 % (177133)------------------------------
% 11.05/2.18 % (177133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.18 % (177133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.18 % (177133)CaDiCaL version: 2.1.3
% 11.05/2.18 % (177133)Termination reason: Instruction limit
% 11.05/2.18 % (177133)Termination phase: Saturation
% 11.05/2.18 % (177133)Time elapsed: 0.516 s
% 11.05/2.18 % (177133)Peak memory usage: 95 MB
% 11.05/2.18 % (177133)Instructions burned: 1188 (million)
% 11.05/2.18 % (177146)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2182818667:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 11.05/2.18 % (177150)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=2546403195: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)
% 11.05/2.18 % (177146)Instruction limit reached!
% 11.05/2.18 % (177146)------------------------------
% 11.05/2.18 % (177146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.18 % (177146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.18 % (177146)CaDiCaL version: 2.1.3
% 11.05/2.18 % (177146)Termination reason: Instruction limit
% 11.05/2.18 % (177146)Termination phase: Saturation
% 11.05/2.18 % (177146)Time elapsed: 0.173 s
% 11.05/2.18 % (177146)Peak memory usage: 89 MB
% 11.05/2.18 % (177146)Instructions burned: 216 (million)
% 11.05/2.18 % (177150)Instruction limit reached!
% 11.05/2.18 % (177150)------------------------------
% 11.05/2.18 % (177150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.18 % (177150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.18 % (177150)CaDiCaL version: 2.1.3
% 11.05/2.18 % (177150)Termination reason: Instruction limit
% 11.05/2.18 % (177150)Termination phase: Saturation
% 11.05/2.18 % (177150)Time elapsed: 0.167 s
% 11.05/2.18 % (177150)Peak memory usage: 95 MB
% 11.05/2.18 % (177150)Instructions burned: 317 (million)
% 11.05/2.18 % (177153)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=3307681684:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 11.05/2.18 % (177154)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3458854265:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 11.05/2.18 % (177154)First to succeed.
% 11.05/2.18 % (177154)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-177118"
% 11.05/2.18 % (177154)Refutation found. Thanks to Tanya!
% 11.05/2.18 % SZS status Unsatisfiable for theBenchmark
% 11.05/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 11.44/2.34 % (177154)------------------------------
% 11.44/2.34 % (177154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.34 % (177154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.34 % (177154)CaDiCaL version: 2.1.3
% 11.44/2.34 % (177154)Termination reason: Refutation
% 11.44/2.34 % (177154)Time elapsed: 0.181 s
% 11.44/2.34 % (177154)Peak memory usage: 92 MB
% 11.44/2.34 % (177154)Instructions burned: 330 (million)
% 11.44/2.34 % (177154)------------------------------
% 11.44/2.34 % (177154)------------------------------
% 11.44/2.34 % (177118)Success in time 1.527 s
% 11.44/2.34 % Vampire exiting
%------------------------------------------------------------------------------