%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP607-1 : 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 : n001.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 10:14:58 AM UTC 2026
% Result : Unsatisfiable 3.00s 1.39s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of formulae : 107 ( 86 unt; 4 def)
% Number of atoms : 128 ( 91 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 17 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 220 ( 0 sgn 220 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
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(f5,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f8,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3,f5]) ).
fof(f9,plain,
( multiply(multiply(a3,b3),c3) != inverse(double_divide(multiply(b3,c3),a3))
| spl0_1 ),
inference(forward_demodulation,[],[f7,f2]) ).
fof(f10,plain,
( multiply(multiply(a3,b3),c3) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| spl0_1 ),
inference(forward_demodulation,[],[f9,f2]) ).
fof(f11,plain,
( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,multiply(a3,b3)))
| spl0_1 ),
inference(forward_demodulation,[],[f10,f2]) ).
fof(f12,plain,
( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| spl0_1 ),
inference(forward_demodulation,[],[f11,f2]) ).
fof(f14,definition,
( spl0_2
<=> inverse(double_divide(inverse(double_divide(c3,b3)),a3)) = inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f16,plain,
( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f17,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f12,f5,f14]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,X2))))),inverse(double_divide(inverse(X3),X0)))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(inverse(X0),double_divide(X2,double_divide(X1,X3))))) = double_divide(inverse(double_divide(X1,inverse(X0))),X3),
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(superposition,[],[f1,f19]) ).
fof(f43,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,inverse(X0))),double_divide(X1,inverse(X2)))) = X2,
inference(superposition,[],[f33,f33]) ).
fof(f88,plain,
! [X2,X0] : double_divide(inverse(X0),inverse(double_divide(inverse(X2),X0))) = X2,
inference(superposition,[],[f18,f1]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(inverse(X1),double_divide(X2,X3))),double_divide(X0,double_divide(X2,inverse(double_divide(inverse(X4),X1)))))))),X3) = X4,
inference(superposition,[],[f18,f19]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X0),X5) = double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,double_divide(inverse(double_divide(inverse(double_divide(X3,inverse(double_divide(inverse(X4),double_divide(X3,inverse(X2)))))),inverse(double_divide(inverse(X0),X4)))),X5))))),
inference(superposition,[],[f19,f18]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(X0)) = double_divide(inverse(double_divide(X2,inverse(double_divide(inverse(X3),double_divide(X2,X1))))),inverse(double_divide(inverse(X0),X3))),
inference(superposition,[],[f88,f18]) ).
fof(f112,plain,
! [X0,X1] : double_divide(inverse(inverse(double_divide(inverse(X0),X1))),inverse(X0)) = X1,
inference(superposition,[],[f88,f88]) ).
fof(f116,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,inverse(X2)))))) = X2,
inference(superposition,[],[f33,f88]) ).
fof(f134,plain,
! [X2,X3] : double_divide(inverse(double_divide(inverse(X2),inverse(X3))),X2) = X3,
inference(backward_demodulation,[],[f18,f109]) ).
fof(f137,plain,
! [X2,X0,X1,X5] : double_divide(inverse(X0),X5) = double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,double_divide(inverse(double_divide(inverse(inverse(X2)),inverse(X0))),X5))))),
inference(backward_demodulation,[],[f102,f109]) ).
fof(f151,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),X3) = double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))),
inference(superposition,[],[f134,f19]) ).
fof(f155,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[],[f33,f134]) ).
fof(f156,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,double_divide(inverse(X2),X2))))) = X0,
inference(superposition,[],[f19,f134]) ).
fof(f178,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X0)) = X0,
inference(superposition,[],[f88,f155]) ).
fof(f181,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(X1)) = double_divide(X2,inverse(double_divide(inverse(X1),double_divide(X2,double_divide(X0,double_divide(inverse(X3),X3)))))),
inference(superposition,[],[f19,f155]) ).
fof(f241,plain,
! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(inverse(inverse(X0)),inverse(X0)),
inference(superposition,[],[f88,f178]) ).
fof(f248,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(inverse(X0),double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X2)))) = X2,
inference(superposition,[],[f43,f178]) ).
fof(f253,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,X0)))) = double_divide(inverse(double_divide(inverse(double_divide(inverse(X3),X3)),inverse(X2))),inverse(X0)),
inference(superposition,[],[f19,f178]) ).
fof(f256,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,X0)))) = double_divide(inverse(X2),inverse(X0)),
inference(forward_demodulation,[],[f253,f178]) ).
fof(f260,plain,
! [X2,X0] : double_divide(inverse(X0),double_divide(inverse(X0),X2)) = X2,
inference(forward_demodulation,[],[f248,f178]) ).
fof(f274,plain,
! [X3,X0,X1] : double_divide(inverse(double_divide(X1,inverse(X0))),X3) = double_divide(inverse(X0),inverse(double_divide(X1,X3))),
inference(backward_demodulation,[],[f19,f256]) ).
fof(f296,plain,
! [X3,X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),inverse(double_divide(X0,double_divide(inverse(X3),X3)))),
inference(backward_demodulation,[],[f181,f256]) ).
fof(f303,plain,
! [X2,X0,X5] : double_divide(inverse(X0),X5) = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(inverse(inverse(X2)),inverse(X0))),X5))),
inference(backward_demodulation,[],[f137,f256]) ).
fof(f305,plain,
! [X2,X0] : double_divide(inverse(X0),inverse(double_divide(inverse(X2),X2))) = X0,
inference(backward_demodulation,[],[f156,f256]) ).
fof(f310,plain,
! [X2,X0] : double_divide(inverse(X0),double_divide(inverse(X0),inverse(inverse(X2)))) = X2,
inference(backward_demodulation,[],[f116,f256]) ).
fof(f315,plain,
! [X2,X3,X1,X4] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X1),double_divide(X2,X3))),inverse(double_divide(X2,inverse(double_divide(inverse(X4),X1)))))),X3) = X4,
inference(backward_demodulation,[],[f89,f256]) ).
fof(f319,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f310,f260]) ).
fof(f350,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))) = double_divide(inverse(double_divide(inverse(X1),inverse(double_divide(X0,X2)))),X3),
inference(backward_demodulation,[],[f151,f274]) ).
fof(f364,plain,
! [X2,X3,X1,X4] : double_divide(inverse(double_divide(X2,inverse(double_divide(inverse(X4),X1)))),inverse(double_divide(inverse(double_divide(inverse(X1),double_divide(X2,X3))),X3))) = X4,
inference(backward_demodulation,[],[f315,f274]) ).
fof(f366,plain,
! [X2,X0,X5] : double_divide(inverse(X0),X5) = double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(double_divide(inverse(inverse(X2)),X5))))),
inference(backward_demodulation,[],[f303,f274]) ).
fof(f404,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X1),inverse(X0)) = X1,
inference(backward_demodulation,[],[f112,f319]) ).
fof(f406,plain,
! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(X0,inverse(X0)),
inference(backward_demodulation,[],[f241,f319]) ).
fof(f440,plain,
! [X2,X0,X5] : double_divide(inverse(X0),X5) = double_divide(inverse(X2),inverse(double_divide(inverse(X0),inverse(double_divide(X2,X5))))),
inference(forward_demodulation,[],[f366,f319]) ).
fof(f442,plain,
! [X2,X3,X1,X4] : double_divide(inverse(double_divide(inverse(X4),X1)),inverse(double_divide(X2,inverse(double_divide(inverse(double_divide(inverse(X1),double_divide(X2,X3))),X3))))) = X4,
inference(forward_demodulation,[],[f364,f274]) ).
fof(f455,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))) = double_divide(inverse(double_divide(X0,X2)),inverse(double_divide(inverse(X1),X3))),
inference(forward_demodulation,[],[f350,f274]) ).
fof(f558,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(superposition,[],[f155,f319]) ).
fof(f559,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(superposition,[],[f155,f319]) ).
fof(f561,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(inverse(X1),X1)),X0),
inference(superposition,[],[f178,f319]) ).
fof(f567,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),inverse(inverse(X0))),
inference(backward_demodulation,[],[f296,f559]) ).
fof(f571,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),X0),
inference(forward_demodulation,[],[f567,f319]) ).
fof(f573,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f404,f319]) ).
fof(f574,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(X1,X2))) = double_divide(inverse(double_divide(X1,X0)),X2),
inference(superposition,[],[f274,f319]) ).
fof(f577,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(inverse(X1),X0))),
inference(backward_demodulation,[],[f561,f574]) ).
fof(f579,plain,
! [X2,X3,X1,X4] : double_divide(inverse(double_divide(inverse(X4),X1)),inverse(double_divide(X2,inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X1),X3))))))) = X4,
inference(backward_demodulation,[],[f442,f574]) ).
fof(f586,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X3),double_divide(X0,X2))) = double_divide(X2,inverse(double_divide(X0,inverse(double_divide(inverse(X1),X3))))),
inference(backward_demodulation,[],[f455,f574]) ).
fof(f604,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(b3,inverse(double_divide(c3,a3))))
| spl0_2 ),
inference(backward_demodulation,[],[f16,f574]) ).
fof(f607,definition,
( spl0_3
<=> inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(b3,inverse(double_divide(c3,a3)))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f609,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(b3,inverse(double_divide(c3,a3))))
| spl0_3 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f604,f14,f607]) ).
fof(f624,plain,
! [X2,X3,X1,X4] : double_divide(X1,inverse(double_divide(inverse(X4),inverse(double_divide(X2,inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X1),X3))))))))) = X4,
inference(forward_demodulation,[],[f579,f574]) ).
fof(f634,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f573,f573]) ).
fof(f645,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,inverse(double_divide(inverse(X1),X1))),
inference(superposition,[],[f305,f319]) ).
fof(f654,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(X1,inverse(X1))),
inference(superposition,[],[f558,f319]) ).
fof(f668,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f571,f319]) ).
fof(f684,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(X0,X2)) = double_divide(inverse(X2),inverse(double_divide(inverse(X1),inverse(X0)))),
inference(superposition,[],[f440,f634]) ).
fof(f689,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(double_divide(X2,X1))) = double_divide(inverse(inverse(X0)),inverse(double_divide(inverse(X0),X1))),
inference(superposition,[],[f440,f440]) ).
fof(f697,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X0),X1))) = double_divide(inverse(X2),inverse(double_divide(X2,X1))),
inference(forward_demodulation,[],[f689,f319]) ).
fof(f706,plain,
! [X2,X1] : inverse(X1) = double_divide(inverse(X2),inverse(double_divide(X2,X1))),
inference(forward_demodulation,[],[f697,f577]) ).
fof(f726,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f573,f668]) ).
fof(f727,plain,
( inverse(double_divide(b3,inverse(double_divide(c3,a3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3))))
| spl0_3 ),
inference(superposition,[],[f609,f668]) ).
fof(f729,definition,
( spl0_4
<=> inverse(double_divide(b3,inverse(double_divide(c3,a3)))) = inverse(double_divide(c3,inverse(double_divide(a3,b3)))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f731,plain,
( inverse(double_divide(b3,inverse(double_divide(c3,a3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3))))
| spl0_4 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f732,plain,
( ~ spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f727,f607,f729]) ).
fof(f919,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X2),double_divide(inverse(inverse(double_divide(inverse(X1),X2))),X3))) = double_divide(X3,inverse(double_divide(X0,inverse(X0)))),
inference(superposition,[],[f586,f406]) ).
fof(f921,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(inverse(X2),double_divide(double_divide(inverse(X1),X2),X3))) = double_divide(X3,inverse(double_divide(inverse(X0),X0))),
inference(superposition,[],[f586,f406]) ).
fof(f934,plain,
! [X2,X3,X1] : inverse(X3) = double_divide(inverse(X1),double_divide(inverse(X2),double_divide(double_divide(inverse(X1),X2),X3))),
inference(forward_demodulation,[],[f921,f645]) ).
fof(f936,plain,
! [X2,X3,X0,X1] : double_divide(X3,inverse(double_divide(X0,inverse(X0)))) = double_divide(inverse(X1),double_divide(inverse(X2),double_divide(double_divide(inverse(X1),X2),X3))),
inference(forward_demodulation,[],[f919,f319]) ).
fof(f952,plain,
! [X3,X0] : inverse(X3) = double_divide(X3,inverse(double_divide(X0,inverse(X0)))),
inference(forward_demodulation,[],[f936,f934]) ).
fof(f1179,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X1),X3)))))) = double_divide(X1,inverse(double_divide(X0,inverse(X0)))),
inference(superposition,[],[f624,f406]) ).
fof(f1186,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = inverse(double_divide(inverse(X0),inverse(double_divide(X2,inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X1),X3)))))))),
inference(superposition,[],[f573,f624]) ).
fof(f1204,plain,
! [X2,X3,X1] : inverse(X1) = inverse(double_divide(X2,inverse(double_divide(double_divide(X2,X3),inverse(double_divide(inverse(X1),X3)))))),
inference(forward_demodulation,[],[f1179,f952]) ).
fof(f1241,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(double_divide(inverse(X0),inverse(X1))),
inference(backward_demodulation,[],[f1186,f1204]) ).
fof(f1313,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(X0,X2)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(backward_demodulation,[],[f684,f1241]) ).
fof(f1835,plain,
! [X2,X0,X1] : inverse(inverse(double_divide(inverse(X0),X1))) = double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X2,inverse(X2)))),
inference(superposition,[],[f586,f706]) ).
fof(f1840,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f726,f706]) ).
fof(f1889,plain,
! [X0,X1] : inverse(inverse(double_divide(inverse(X0),X1))) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(forward_demodulation,[],[f1835,f654]) ).
fof(f1923,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X1))) = inverse(inverse(double_divide(inverse(X0),X1))),
inference(forward_demodulation,[],[f1889,f1840]) ).
fof(f1940,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[],[f1923,f319]) ).
fof(f2028,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(X1,X0)) = inverse(double_divide(X1,inverse(double_divide(X0,X2)))),
inference(backward_demodulation,[],[f1313,f1940]) ).
fof(f2063,plain,
! [X2,X0,X1] : inverse(double_divide(X1,inverse(double_divide(X0,X2)))) = inverse(double_divide(X2,inverse(double_divide(X1,X0)))),
inference(forward_demodulation,[],[f2028,f1940]) ).
fof(f2155,plain,
( $false
| spl0_4 ),
inference(backward_subsumption_resolution,[],[f731,f2063]) ).
fof(f2156,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2155]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f8]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f610]) ).
cnf(s4,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f732]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f2156]) ).
cnf(s7,plain,
spl0_3,
inference(rat,[],[s4,s6]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s3,s7]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s2,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9]) ).
fof(f2415,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP607-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:15:46 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.00/1.39 % (3339553)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.00/1.39 % (3339561)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1779274992:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.00/1.39 % (3339561)Instruction limit reached!
% 3.00/1.39 % (3339561)------------------------------
% 3.00/1.39 % (3339561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.39 % (3339561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.39 % (3339561)CaDiCaL version: 2.1.3
% 3.00/1.39 % (3339561)Termination reason: Instruction limit
% 3.00/1.39 % (3339561)Termination phase: Saturation
% 3.00/1.39 % (3339561)Time elapsed: 0.046 s
% 3.00/1.39 % (3339561)Peak memory usage: 88 MB
% 3.00/1.39 % (3339561)Instructions burned: 139 (million)
% 3.00/1.39 % (3339559)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=3456768860:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.00/1.39 % (3339558)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=2259705654:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.00/1.39 % (3339560)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3978723482:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.00/1.39 % (3339564)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2515115237:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.00/1.39 % (3339562)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=223228267:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.00/1.39 % (3339563)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=315713465:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.00/1.39 % (3339569)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1627596792:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 3.00/1.39 % (3339562)Instruction limit reached!
% 3.00/1.39 % (3339562)------------------------------
% 3.00/1.39 % (3339562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.39 % (3339562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.39 % (3339562)CaDiCaL version: 2.1.3
% 3.00/1.39 % (3339562)Termination reason: Instruction limit
% 3.00/1.39 % (3339562)Termination phase: Saturation
% 3.00/1.39 % (3339562)Time elapsed: 0.101 s
% 3.00/1.39 % (3339562)Peak memory usage: 90 MB
% 3.00/1.39 % (3339562)Instructions burned: 183 (million)
% 3.00/1.39 % (3339563)First to succeed.
% 3.00/1.39 % (3339563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3339553"
% 3.00/1.39 % (3339574)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1041791688:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.00/1.39 % (3339563)Refutation found. Thanks to Tanya!
% 3.00/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.00/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.48 % (3339563)------------------------------
% 4.15/1.48 % (3339563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.48 % (3339563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.48 % (3339563)CaDiCaL version: 2.1.3
% 4.15/1.48 % (3339563)Termination reason: Refutation
% 4.15/1.48 % (3339563)Time elapsed: 0.110 s
% 4.15/1.48 % (3339563)Peak memory usage: 90 MB
% 4.15/1.48 % (3339563)Instructions burned: 178 (million)
% 4.15/1.48 % (3339563)------------------------------
% 4.15/1.48 % (3339563)------------------------------
% 4.15/1.48 % (3339553)Success in time 0.517 s
% 4.15/1.48 % Vampire exiting
%------------------------------------------------------------------------------