%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10:14:09 AM UTC 2026
% Result : Unsatisfiable 12.33s 2.78s
% Output : Refutation 13.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 20
% Syntax : Number of formulae : 109 ( 80 unt; 17 def)
% Number of atoms : 188 ( 85 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 154 ( 75 ~; 70 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 187 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,definition,
sF0 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
double_divide(b3,a3) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = inverse(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
inverse(sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = double_divide(c3,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
double_divide(c3,sF1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = inverse(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
inverse(sF2) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF4 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f14,plain,
double_divide(c3,b3) = sF4,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF5 = inverse(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f16,plain,
inverse(sF4) = sF5,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF6 = double_divide(sF5,a3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f18,plain,
double_divide(sF5,a3) = sF6,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF7 = inverse(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f20,plain,
inverse(sF6) = sF7,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
sF3 != sF7,
inference(definition_folding,[],[f4,f20,f18,f16,f14,f12,f10,f8,f6]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4)))) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X5,double_divide(inverse(X2),X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f25,definition,
( spl8_1
<=> inverse(sF6) = sF7 ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f27,plain,
( inverse(sF6) = sF7
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f28,plain,
spl8_1,
inference(avatar_split_clause,[],[f20,f25]) ).
fof(f30,definition,
( spl8_2
<=> inverse(sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f32,plain,
( inverse(sF2) = sF3
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl8_2,
inference(avatar_split_clause,[],[f12,f30]) ).
fof(f37,definition,
( spl8_3
<=> double_divide(b3,a3) = sF0 ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f39,plain,
( double_divide(b3,a3) = sF0
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
spl8_3,
inference(avatar_split_clause,[],[f6,f37]) ).
fof(f44,definition,
( spl8_4
<=> inverse(sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f46,plain,
( inverse(sF0) = sF1
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
spl8_4,
inference(avatar_split_clause,[],[f8,f44]) ).
fof(f49,definition,
( spl8_5
<=> double_divide(c3,b3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f51,plain,
( double_divide(c3,b3) = sF4
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
spl8_5,
inference(avatar_split_clause,[],[f14,f49]) ).
fof(f56,definition,
( spl8_6
<=> double_divide(c3,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f58,plain,
( double_divide(c3,sF1) = sF2
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
spl8_6,
inference(avatar_split_clause,[],[f10,f56]) ).
fof(f63,definition,
( spl8_7
<=> double_divide(sF5,a3) = sF6 ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f65,plain,
( double_divide(sF5,a3) = sF6
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
spl8_7,
inference(avatar_split_clause,[],[f18,f63]) ).
fof(f68,definition,
( spl8_8
<=> inverse(sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f70,plain,
( inverse(sF4) = sF5
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
spl8_8,
inference(avatar_split_clause,[],[f16,f68]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : inverse(double_divide(inverse(double_divide(X4,double_divide(X5,double_divide(X6,double_divide(X7,X6))))),double_divide(X8,double_divide(X5,X8)))) = double_divide(inverse(inverse(double_divide(X3,double_divide(X7,X1)))),inverse(double_divide(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))),double_divide(X9,double_divide(inverse(X4),X9))))),
inference(superposition,[],[f22,f22]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X4,X5) = double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X1)))),inverse(double_divide(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2))))),double_divide(X6,double_divide(X5,X6))))),
inference(superposition,[],[f1,f22]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),double_divide(X3,double_divide(X1,X3)))) = X2,
inference(superposition,[],[f1,f22]) ).
fof(f113,plain,
! [X8,X6,X7,X4,X5] : inverse(double_divide(inverse(double_divide(X4,double_divide(X5,double_divide(X6,double_divide(X7,X6))))),double_divide(X8,double_divide(X5,X8)))) = double_divide(X7,inverse(X4)),
inference(forward_demodulation,[],[f97,f107]) ).
fof(f119,definition,
( spl8_9
<=> sF3 = sF7 ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f121,plain,
( sF3 != sF7
| spl8_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
~ spl8_9,
inference(avatar_split_clause,[],[f21,f119]) ).
fof(f139,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(X0,X3)) = double_divide(inverse(X1),double_divide(X0,inverse(X1))),
inference(superposition,[],[f1,f113]) ).
fof(f164,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[],[f139,f139]) ).
fof(f213,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(X3,X2)) = double_divide(double_divide(X1,X3),double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f164,f164]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(inverse(X3),X2)) = double_divide(double_divide(X1,inverse(X3)),double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f164,f139]) ).
fof(f247,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(superposition,[],[f1,f164]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X3) = double_divide(inverse(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0))))),inverse(double_divide(X0,double_divide(X4,double_divide(X3,X4))))),
inference(superposition,[],[f1,f109]) ).
fof(f654,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1))))) = X2,
inference(superposition,[],[f247,f113]) ).
fof(f658,plain,
! [X2,X3,X0,X1] : double_divide(X1,X3) = inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),inverse(double_divide(X2,double_divide(X3,X2))))))),
inference(superposition,[],[f467,f247]) ).
fof(f1134,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,X2) = inverse(double_divide(double_divide(inverse(double_divide(X3,double_divide(X4,double_divide(inverse(X3),X0)))),double_divide(X5,double_divide(X4,X5))),double_divide(X1,double_divide(X0,inverse(double_divide(X6,double_divide(X2,X6))))))),
inference(superposition,[],[f658,f109]) ).
fof(f1178,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f658,f654]) ).
fof(f1179,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X1,double_divide(X0,double_divide(inverse(X1),X0)))) = double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3),
inference(superposition,[],[f658,f139]) ).
fof(f1313,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))),X0)) = X2,
inference(backward_demodulation,[],[f1,f1178]) ).
fof(f1450,plain,
! [X2,X3,X0,X1] : double_divide(X1,X3) = inverse(double_divide(X0,double_divide(X1,inverse(double_divide(double_divide(X2,double_divide(X3,X2)),X0))))),
inference(backward_demodulation,[],[f658,f1178]) ).
fof(f1515,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X3) = inverse(double_divide(double_divide(X0,double_divide(X4,double_divide(X3,X4))),inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0)))))),
inference(backward_demodulation,[],[f467,f1178]) ).
fof(f1683,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3))),X4)) = double_divide(inverse(X4),X0),
inference(superposition,[],[f1178,f109]) ).
fof(f1721,plain,
! [X2,X0,X1,X6] : double_divide(X1,X2) = double_divide(inverse(double_divide(X1,double_divide(X0,inverse(double_divide(X6,double_divide(X2,X6)))))),X0),
inference(backward_demodulation,[],[f1134,f1683]) ).
fof(f1816,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(double_divide(X0,double_divide(X5,double_divide(X1,X5))),double_divide(inverse(double_divide(double_divide(X1,X2),double_divide(X3,X0))),double_divide(X4,double_divide(X3,X4))))) = X2,
inference(superposition,[],[f1313,f1313]) ).
fof(f2649,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))),double_divide(inverse(double_divide(double_divide(X4,X5),double_divide(X6,inverse(double_divide(X2,double_divide(double_divide(X3,double_divide(X4,X3)),X2)))))),double_divide(X7,double_divide(X6,X7))))) = X5,
inference(superposition,[],[f1816,f1179]) ).
fof(f2747,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,inverse(double_divide(X1,double_divide(X2,double_divide(X3,X2))))) = inverse(double_divide(X0,double_divide(X5,double_divide(inverse(double_divide(double_divide(X3,X0),double_divide(X4,X1))),X5)))),
inference(superposition,[],[f109,f1816]) ).
fof(f2827,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),X1) = inverse(double_divide(X2,inverse(double_divide(double_divide(double_divide(X0,double_divide(X1,X0)),X2),X3)))),
inference(superposition,[],[f1450,f1178]) ).
fof(f2840,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(double_divide(X2,double_divide(X0,inverse(double_divide(double_divide(X3,double_divide(X1,X3)),X2)))),X4)) = double_divide(inverse(X4),double_divide(X0,X1)),
inference(superposition,[],[f1178,f1450]) ).
fof(f2899,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X3) = inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))),inverse(double_divide(X6,double_divide(X2,double_divide(inverse(X6),inverse(double_divide(X4,double_divide(double_divide(X5,double_divide(X3,X5)),X4))))))))),
inference(superposition,[],[f1515,f1179]) ).
fof(f2970,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X3) = inverse(inverse(double_divide(double_divide(X6,double_divide(X2,double_divide(inverse(X6),inverse(double_divide(X4,double_divide(double_divide(X5,double_divide(X3,X5)),X4)))))),double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))))),
inference(forward_demodulation,[],[f2899,f1178]) ).
fof(f2975,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X3) = inverse(inverse(double_divide(double_divide(X6,double_divide(X2,inverse(double_divide(double_divide(X4,double_divide(double_divide(X5,double_divide(X3,X5)),X4)),X6)))),double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))))),
inference(forward_demodulation,[],[f2970,f1178]) ).
fof(f2977,plain,
! [X2,X3,X0,X1,X5] : double_divide(X2,X3) = inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X1)))),double_divide(X2,double_divide(X5,double_divide(X3,X5))))),
inference(forward_demodulation,[],[f2975,f2840]) ).
fof(f2978,plain,
! [X2,X3,X6,X4,X5] : double_divide(inverse(double_divide(double_divide(X4,X5),double_divide(X6,inverse(double_divide(X2,double_divide(double_divide(X3,double_divide(X4,X3)),X2)))))),X6) = X5,
inference(backward_demodulation,[],[f2649,f2977]) ).
fof(f2979,plain,
! [X3,X4,X5] : double_divide(double_divide(X4,X5),double_divide(X3,double_divide(X4,X3))) = X5,
inference(forward_demodulation,[],[f2978,f1721]) ).
fof(f2983,plain,
! [X2,X3] : double_divide(X2,double_divide(X3,X2)) = X3,
inference(backward_demodulation,[],[f213,f2979]) ).
fof(f3039,plain,
! [X2,X3] : inverse(X3) = double_divide(X2,double_divide(inverse(X3),X2)),
inference(backward_demodulation,[],[f217,f2979]) ).
fof(f3683,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(double_divide(X1,double_divide(X2,double_divide(X3,X2))))) = inverse(double_divide(X0,inverse(double_divide(double_divide(X3,X0),double_divide(X4,X1))))),
inference(backward_demodulation,[],[f2747,f3039]) ).
fof(f4048,plain,
! [X2,X3,X1] : double_divide(inverse(X3),X1) = inverse(double_divide(X2,inverse(double_divide(double_divide(X1,X2),X3)))),
inference(backward_demodulation,[],[f2827,f2983]) ).
fof(f4420,plain,
! [X3,X0,X1,X4] : inverse(double_divide(X0,inverse(double_divide(double_divide(X3,X0),double_divide(X4,X1))))) = double_divide(X4,inverse(double_divide(X1,X3))),
inference(forward_demodulation,[],[f3683,f2983]) ).
fof(f5163,plain,
! [X3,X1,X4] : double_divide(inverse(double_divide(X4,X1)),X3) = double_divide(X4,inverse(double_divide(X1,X3))),
inference(forward_demodulation,[],[f4420,f4048]) ).
fof(f8179,plain,
( ! [X0] : double_divide(inverse(sF4),X0) = double_divide(c3,inverse(double_divide(b3,X0)))
| ~ spl8_5 ),
inference(superposition,[],[f5163,f51]) ).
fof(f8210,plain,
( ! [X0] : double_divide(sF5,X0) = double_divide(c3,inverse(double_divide(b3,X0)))
| ~ spl8_5
| ~ spl8_8 ),
inference(forward_demodulation,[],[f8179,f70]) ).
fof(f10022,plain,
( double_divide(sF5,a3) = double_divide(c3,inverse(sF0))
| ~ spl8_3
| ~ spl8_5
| ~ spl8_8 ),
inference(superposition,[],[f8210,f39]) ).
fof(f10054,plain,
( double_divide(c3,sF1) = double_divide(sF5,a3)
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_8 ),
inference(forward_demodulation,[],[f10022,f46]) ).
fof(f10067,plain,
( double_divide(c3,sF1) = sF6
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_7
| ~ spl8_8 ),
inference(forward_demodulation,[],[f10054,f65]) ).
fof(f10077,plain,
( sF2 = sF6
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8 ),
inference(forward_demodulation,[],[f10067,f58]) ).
fof(f10082,plain,
( inverse(sF2) = sF7
| ~ spl8_1
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8 ),
inference(backward_demodulation,[],[f27,f10077]) ).
fof(f10104,plain,
( sF3 = sF7
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8 ),
inference(forward_demodulation,[],[f10082,f32]) ).
fof(f10108,plain,
( $false
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| spl8_9 ),
inference(forward_subsumption_resolution,[],[f10104,f121]) ).
fof(f10109,plain,
( ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| spl8_9 ),
inference(avatar_contradiction_clause,[],[f10108]) ).
cnf(s1,plain,
spl8_1,
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
spl8_2,
inference(sat_conversion,[],[f33]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
spl8_4,
inference(sat_conversion,[],[f47]) ).
cnf(s5,plain,
spl8_5,
inference(sat_conversion,[],[f52]) ).
cnf(s6,plain,
spl8_6,
inference(sat_conversion,[],[f59]) ).
cnf(s7,plain,
spl8_7,
inference(sat_conversion,[],[f66]) ).
cnf(s8,plain,
spl8_8,
inference(sat_conversion,[],[f71]) ).
cnf(s9,plain,
~ spl8_9,
inference(sat_conversion,[],[f122]) ).
cnf(s14,plain,
( ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_4
| ~ spl8_5
| ~ spl8_6
| ~ spl8_7
| ~ spl8_8
| spl8_9 ),
inference(sat_conversion,[],[f10109]) ).
cnf(s17,plain,
~ spl8_1,
inference(rat,[],[s14,s9,s8,s7,s6,s5,s4,s3,s2]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s17]) ).
fof(f10110,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:08:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 12.33/2.78 % (2100857)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.33/2.78 % (2100870)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=1904181738:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 12.33/2.78 % (2100874)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=236620463:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 12.33/2.78 % (2100875)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4232505584:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 12.33/2.78 % (2100872)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2190920880:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 12.33/2.78 % (2100873)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1123033554:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 12.33/2.78 % (2100876)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4036416263:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 12.33/2.78 % (2100871)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=2493342702:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 12.33/2.78 % (2100874)Instruction limit reached!
% 12.33/2.78 % (2100874)------------------------------
% 12.33/2.78 % (2100874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.78 % (2100874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.78 % (2100874)CaDiCaL version: 2.1.3
% 12.33/2.78 % (2100874)Termination reason: Instruction limit
% 12.33/2.78 % (2100874)Termination phase: Saturation
% 12.33/2.78 % (2100874)Time elapsed: 0.105 s
% 12.33/2.78 % (2100874)Peak memory usage: 90 MB
% 12.33/2.78 % (2100874)Instructions burned: 181 (million)
% 12.33/2.78 % (2100873)Instruction limit reached!
% 12.33/2.78 % (2100873)------------------------------
% 12.33/2.78 % (2100873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.78 % (2100873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.78 % (2100873)CaDiCaL version: 2.1.3
% 12.33/2.78 % (2100873)Termination reason: Instruction limit
% 12.33/2.78 % (2100873)Termination phase: Saturation
% 12.33/2.78 % (2100873)Time elapsed: 0.133 s
% 12.33/2.78 % (2100873)Peak memory usage: 89 MB
% 12.33/2.78 % (2100873)Instructions burned: 136 (million)
% 12.33/2.78 % (2100892)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3929146051:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 12.33/2.78 % (2100875)Instruction limit reached!
% 12.33/2.78 % (2100875)------------------------------
% 12.33/2.78 % (2100875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.78 % (2100875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.78 % (2100875)CaDiCaL version: 2.1.3
% 12.33/2.78 % (2100875)Termination reason: Instruction limit
% 12.33/2.78 % (2100875)Termination phase: Saturation
% 12.33/2.78 % (2100875)Time elapsed: 0.263 s
% 12.33/2.78 % (2100875)Peak memory usage: 91 MB
% 12.33/2.78 % (2100875)Instructions burned: 257 (million)
% 12.33/2.78 % (2100893)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3185643768:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 12.33/2.78 % (2100895)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2552882209:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 12.33/2.78 % (2100895)Instruction limit reached!
% 12.33/2.78 % (2100895)------------------------------
% 12.33/2.78 % (2100895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.78 % (2100895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.78 % (2100895)CaDiCaL version: 2.1.3
% 12.33/2.78 % (2100895)Termination reason: Instruction limit
% 12.33/2.78 % (2100895)Termination phase: Saturation
% 12.33/2.78 % (2100895)Time elapsed: 0.188 s
% 12.33/2.78 % (2100895)Peak memory usage: 91 MB
% 12.33/2.78 % (2100895)Instructions burned: 215 (million)
% 12.33/2.78 % (2100900)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=4205371620:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 12.33/2.78 % (2100876)Instruction limit reached!
% 12.33/2.78 % (2100876)------------------------------
% 12.33/2.78 % (2100876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.78 % (2100876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.78 % (2100876)CaDiCaL version: 2.1.3
% 12.33/2.78 % (2100876)Termination reason: Instruction limit
% 12.33/2.78 % (2100876)Termination phase: Saturation
% 12.33/2.78 % (2100876)Time elapsed: 1.092 s
% 12.33/2.78 % (2100876)Peak memory usage: 99 MB
% 12.33/2.78 % (2100876)Instructions burned: 1187 (million)
% 12.33/2.78 % (2100900)Instruction limit reached!
% 12.33/2.78 % (2100900)------------------------------
% 12.33/2.78 % (2100900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.78 % (2100900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.78 % (2100900)CaDiCaL version: 2.1.3
% 12.33/2.78 % (2100900)Termination reason: Instruction limit
% 12.33/2.78 % (2100900)Termination phase: Saturation
% 12.33/2.78 % (2100900)Time elapsed: 0.282 s
% 12.33/2.78 % (2100900)Peak memory usage: 91 MB
% 12.33/2.78 % (2100900)Instructions burned: 317 (million)
% 12.33/2.78 % (2100902)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=1810493739:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 12.33/2.78 % (2100904)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=937956897:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 12.33/2.78 % (2100870)First to succeed.
% 12.33/2.78 % (2100870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2100857"
% 12.33/2.78 % (2100870)Refutation found. Thanks to Tanya!
% 12.33/2.78 % SZS status Unsatisfiable for theBenchmark
% 12.33/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 13.92/3.01 % (2100870)------------------------------
% 13.92/3.01 % (2100870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.92/3.01 % (2100870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/3.01 % (2100870)CaDiCaL version: 2.1.3
% 13.92/3.01 % (2100870)Termination reason: Refutation
% 13.92/3.01 % (2100870)Time elapsed: 1.495 s
% 13.92/3.01 % (2100870)Peak memory usage: 144 MB
% 13.92/3.01 % (2100870)Instructions burned: 2801 (million)
% 13.92/3.01 % (2100870)------------------------------
% 13.92/3.01 % (2100870)------------------------------
% 13.92/3.01 % (2100857)Success in time 1.89 s
% 13.92/3.01 % Vampire exiting
%------------------------------------------------------------------------------