%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP082-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 10:16:36 AM UTC 2026
% Result : Unsatisfiable 2.55s 0.97s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 6
% Syntax : Number of formulae : 91 ( 70 unt; 3 def)
% Number of atoms : 117 ( 84 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 233 ( 0 sgn 233 !; 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(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f7,definition,
( spl0_1
<=> inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> a2 = inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> inverse(double_divide(a1,inverse(a1))) = inverse(double_divide(b1,inverse(b1))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5,f15,f11,f7]) ).
fof(f19,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(f35,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3)))) = X0,
inference(superposition,[],[f19,f1]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(inverse(X3),X2)))))) = X1,
inference(superposition,[],[f1,f19]) ).
fof(f38,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,f19]) ).
fof(f53,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,f35]) ).
fof(f66,plain,
! [X0,X6,X4,X5] : double_divide(X0,double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X5)),double_divide(X6,double_divide(X0,X6)))))) = X5,
inference(superposition,[],[f37,f35]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X3,double_divide(X2,X3)))) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X4,double_divide(X2,X4)))),
inference(superposition,[],[f35,f66]) ).
fof(f153,plain,
! [X0,X6,X4,X5] : inverse(double_divide(X0,double_divide(X4,double_divide(X5,X4)))) = inverse(double_divide(X0,double_divide(X6,double_divide(X5,X6)))),
inference(superposition,[],[f100,f35]) ).
fof(f199,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X5,double_divide(X3,X5)) = double_divide(inverse(X4),double_divide(inverse(inverse(double_divide(X0,X1))),inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X3,X2)))),double_divide(X6,double_divide(inverse(X4),X6)))))),
inference(superposition,[],[f37,f100]) ).
fof(f209,plain,
! [X2,X3,X5] : double_divide(X5,double_divide(X3,X5)) = double_divide(X2,double_divide(X3,X2)),
inference(forward_demodulation,[],[f199,f37]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X2,X3)) = double_divide(double_divide(X1,X2),double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f209,f209]) ).
fof(f236,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,f209]) ).
fof(f248,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,double_divide(X0,double_divide(inverse(X1),X0)))),double_divide(X3,double_divide(X2,X3)))) = X2,
inference(superposition,[],[f35,f209]) ).
fof(f412,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(X1,X0))) = inverse(double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f153,f209]) ).
fof(f537,plain,
! [X2,X0,X1] : inverse(double_divide(X2,double_divide(X1,X2))) = inverse(double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f412,f218]) ).
fof(f705,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = inverse(double_divide(X2,double_divide(X0,double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X1,X3))))))),
inference(superposition,[],[f236,f53]) ).
fof(f1069,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,[],[f705,f209]) ).
fof(f1080,plain,
! [X3,X0,X1,X4] : inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X3,double_divide(X4,X3)))) = X4,
inference(superposition,[],[f248,f705]) ).
fof(f1162,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1) = inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3)),
inference(superposition,[],[f1080,f705]) ).
fof(f1697,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(inverse(double_divide(X2,double_divide(double_divide(X3,X4),X2)))),inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X5,double_divide(X3,X5))))) = X4,
inference(superposition,[],[f1,f1162]) ).
fof(f1702,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),inverse(double_divide(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1),double_divide(X5,double_divide(X2,X5)))))) = X4,
inference(superposition,[],[f66,f1162]) ).
fof(f1721,plain,
! [X2,X3,X4] : double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),X2)) = X4,
inference(forward_demodulation,[],[f1702,f1080]) ).
fof(f1723,plain,
! [X2,X3,X4] : double_divide(inverse(inverse(double_divide(X2,double_divide(double_divide(X3,X4),X2)))),X3) = X4,
inference(forward_demodulation,[],[f1697,f1080]) ).
fof(f1761,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X2,double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X3)))),X2))))),X0) = X4,
inference(superposition,[],[f1721,f66]) ).
fof(f1797,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),double_divide(X4,double_divide(inverse(inverse(double_divide(X3,double_divide(X0,X3)))),X4))))) = X1,
inference(superposition,[],[f236,f1721]) ).
fof(f1865,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f1797,f1721]) ).
fof(f1869,plain,
! [X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),X4))),X0) = X4,
inference(forward_demodulation,[],[f1761,f1721]) ).
fof(f1902,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(inverse(X0),X0)))) = X1,
inference(superposition,[],[f1865,f1865]) ).
fof(f1903,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(X0,inverse(X0)))) = X1,
inference(superposition,[],[f1865,f53]) ).
fof(f2019,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(inverse(double_divide(X0,inverse(X0))))) = X1,
inference(superposition,[],[f1865,f1903]) ).
fof(f2947,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(inverse(double_divide(X0,X1))),
inference(superposition,[],[f1869,f1903]) ).
fof(f3011,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f2947,f1]) ).
fof(f3055,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f1902,f2947]) ).
fof(f3058,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(superposition,[],[f2019,f2947]) ).
fof(f3154,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,inverse(inverse(double_divide(inverse(X1),X1)))),
inference(superposition,[],[f1902,f3011]) ).
fof(f3172,plain,
! [X0,X1] : inverse(X0) = double_divide(X0,double_divide(inverse(X1),X1)),
inference(forward_demodulation,[],[f3154,f2947]) ).
fof(f3587,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f3055,f1721]) ).
fof(f4271,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3)))) = double_divide(X0,double_divide(double_divide(X1,inverse(X1)),X0)),
inference(superposition,[],[f1069,f3058]) ).
fof(f4291,plain,
! [X2,X0,X1] : inverse(X1) = double_divide(inverse(inverse(X0)),inverse(double_divide(inverse(X0),double_divide(X2,double_divide(X1,X2))))),
inference(superposition,[],[f1,f3058]) ).
fof(f4441,plain,
! [X0,X1] : inverse(X1) = double_divide(inverse(inverse(X0)),inverse(double_divide(inverse(X0),X1))),
inference(forward_demodulation,[],[f4291,f3587]) ).
fof(f4454,plain,
! [X2,X3,X1] : inverse(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3)))) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[],[f4271,f3587]) ).
fof(f4513,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,inverse(double_divide(inverse(X0),X1))),
inference(forward_demodulation,[],[f4441,f3011]) ).
fof(f4521,plain,
! [X2,X1] : double_divide(X1,inverse(X1)) = inverse(double_divide(X2,inverse(X2))),
inference(forward_demodulation,[],[f4454,f3587]) ).
fof(f11216,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(X0,inverse(X1))),
inference(superposition,[],[f4513,f3587]) ).
fof(f11293,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X2),X0)) = double_divide(inverse(inverse(double_divide(X1,double_divide(inverse(X0),X1)))),X2),
inference(superposition,[],[f1723,f4513]) ).
fof(f11334,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X2),X0)) = double_divide(double_divide(X1,double_divide(inverse(X0),X1)),X2),
inference(forward_demodulation,[],[f11293,f2947]) ).
fof(f11452,plain,
! [X2,X0] : double_divide(inverse(X0),X2) = inverse(double_divide(inverse(X2),X0)),
inference(forward_demodulation,[],[f11334,f3587]) ).
fof(f18184,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f9,f11452]) ).
fof(f18400,plain,
( double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),inverse(c3))
| spl0_1 ),
inference(forward_demodulation,[],[f18184,f11216]) ).
fof(f19985,plain,
! [X2,X3,X0,X1,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))))),X5))),
inference(forward_demodulation,[],[f38,f3587]) ).
fof(f19986,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,X5) = double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X1)))),inverse(double_divide(double_divide(inverse(X0),double_divide(inverse(double_divide(X2,double_divide(inverse(X3),X2))),double_divide(X0,X1))),X5))),
inference(forward_demodulation,[],[f19985,f11452]) ).
fof(f19987,plain,
! [X3,X0,X1,X4,X5] : double_divide(X4,X5) = double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X1)))),inverse(double_divide(double_divide(inverse(X0),double_divide(inverse(inverse(X3)),double_divide(X0,X1))),X5))),
inference(forward_demodulation,[],[f19986,f3587]) ).
fof(f19988,plain,
! [X3,X0,X1,X4,X5] : double_divide(X4,X5) = double_divide(inverse(inverse(double_divide(X3,double_divide(X4,X1)))),inverse(double_divide(double_divide(inverse(X0),double_divide(X3,double_divide(X0,X1))),X5))),
inference(forward_demodulation,[],[f19987,f3011]) ).
fof(f19989,plain,
! [X3,X0,X1,X4,X5] : double_divide(X4,X5) = double_divide(double_divide(X3,double_divide(X4,X1)),inverse(double_divide(double_divide(inverse(X0),double_divide(X3,double_divide(X0,X1))),X5))),
inference(forward_demodulation,[],[f19988,f2947]) ).
fof(f19992,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(X0),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X3))),double_divide(X5,double_divide(X4,X5))))))),X1))),
inference(superposition,[],[f19989,f236]) ).
fof(f20564,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(inverse(X0),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,double_divide(inverse(double_divide(X5,double_divide(X4,X5))),double_divide(X3,double_divide(X4,X3)))))),X1))),
inference(forward_demodulation,[],[f19992,f11452]) ).
fof(f20745,plain,
! [X2,X0,X1,X6,X4,X5] : double_divide(inverse(X0),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,double_divide(inverse(double_divide(X5,double_divide(X4,X5))),X4)))),X1))),
inference(forward_demodulation,[],[f20564,f3587]) ).
fof(f20834,plain,
! [X2,X0,X1,X6,X4] : double_divide(inverse(X0),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(double_divide(inverse(X6),double_divide(X2,double_divide(X6,double_divide(inverse(X4),X4)))),X1))),
inference(forward_demodulation,[],[f20745,f3587]) ).
fof(f20868,plain,
! [X2,X0,X1,X6] : double_divide(inverse(X0),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(double_divide(inverse(X6),double_divide(X2,inverse(X6))),X1))),
inference(forward_demodulation,[],[f20834,f3172]) ).
fof(f20881,plain,
! [X2,X0,X1] : double_divide(inverse(X0),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(X2,X1))),
inference(forward_demodulation,[],[f20868,f3587]) ).
fof(f21902,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(X1,X3)) = double_divide(double_divide(X3,X2),inverse(double_divide(X0,double_divide(X1,X0)))),
inference(superposition,[],[f20881,f537]) ).
fof(f22054,plain,
! [X2,X3,X1] : double_divide(inverse(X2),double_divide(X1,X3)) = double_divide(double_divide(X3,X2),inverse(X1)),
inference(forward_demodulation,[],[f21902,f3587]) ).
fof(f23376,plain,
( double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(inverse(a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f18400,f22054]) ).
fof(f23458,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f23376]) ).
fof(f23459,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f23458]) ).
fof(f23848,plain,
( a2 != double_divide(double_divide(b2,inverse(b2)),inverse(a2))
| spl0_2 ),
inference(forward_demodulation,[],[f13,f11216]) ).
fof(f23850,plain,
( a2 != double_divide(inverse(inverse(b2)),double_divide(a2,b2))
| spl0_2 ),
inference(forward_demodulation,[],[f23848,f22054]) ).
fof(f23851,plain,
( a2 != double_divide(b2,double_divide(a2,b2))
| spl0_2 ),
inference(forward_demodulation,[],[f23850,f3011]) ).
fof(f23852,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f23851,f3587]) ).
fof(f23853,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f23852]) ).
fof(f23855,plain,
( inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1))
| spl0_3 ),
inference(forward_demodulation,[],[f17,f11216]) ).
fof(f23857,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f23855,f4521]) ).
fof(f23858,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f23857]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f18]) ).
cnf(s6691,plain,
spl0_1,
inference(sat_conversion,[],[f23459]) ).
cnf(s6798,plain,
spl0_2,
inference(sat_conversion,[],[f23853]) ).
cnf(s6799,plain,
spl0_3,
inference(sat_conversion,[],[f23858]) ).
cnf(s6800,plain,
$false,
inference(rat,[],[s4,s6799,s6798,s6691]) ).
fof(f23860,plain,
$false,
inference(avatar_sat_refutation,[],[s6800]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP082-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:19:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/0.97 % (3123408)Will run a generic schedule for satisfiability detection.
% 2.55/0.97 % (3123417)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=857704971:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.55/0.97 % (3123414)% WARNING: option uhcvi not known.
% 2.55/0.97 % (3123413)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=437790524_2999 on theBenchmark for (2999ds/0Mi)
% 2.55/0.97 % (3123414)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=981585348:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.55/0.97 % (3123415)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2136048142:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.55/0.97 % (3123416)dis+10_1_sil=32000:sp=arity:random_seed=478909954:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.55/0.97 % (3123418)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2959403017:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.55/0.97 % (3123419)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1544282588:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.55/0.97 % TRYING [1]
% 2.55/0.97 % TRYING [2]
% 2.55/0.97 % TRYING [3]
% 2.55/0.97 % TRYING [4]
% 2.55/0.97 % (3123417)Instruction limit reached!
% 2.55/0.97 % (3123417)------------------------------
% 2.55/0.97 % (3123417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123417)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123417)Termination reason: Instruction limit
% 2.55/0.97 % (3123417)Termination phase: Saturation
% 2.55/0.97 % (3123417)Time elapsed: 0.038 s
% 2.55/0.97 % (3123417)Peak memory usage: 12 MB
% 2.55/0.97 % (3123417)Instructions burned: 119 (million)
% 2.55/0.97 % (3123427)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3236269056:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.55/0.97 % TRYING [1]
% 2.55/0.97 % TRYING [2]
% 2.55/0.97 % TRYING [3]
% 2.55/0.97 % (3123416)Instruction limit reached!
% 2.55/0.97 % (3123416)------------------------------
% 2.55/0.97 % (3123416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123416)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123416)Termination reason: Instruction limit
% 2.55/0.97 % (3123416)Termination phase: Saturation
% 2.55/0.97 % (3123416)Time elapsed: 0.055 s
% 2.55/0.97 % (3123416)Peak memory usage: 12 MB
% 2.55/0.97 % (3123416)Instructions burned: 104 (million)
% 2.55/0.97 % TRYING [4]
% 2.55/0.97 % (3123429)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3414754311:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.55/0.97 % (3123418)Instruction limit reached!
% 2.55/0.97 % (3123418)------------------------------
% 2.55/0.97 % (3123418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123418)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123418)Termination reason: Instruction limit
% 2.55/0.97 % (3123418)Termination phase: Saturation
% 2.55/0.97 % (3123418)Time elapsed: 0.075 s
% 2.55/0.97 % (3123418)Peak memory usage: 13 MB
% 2.55/0.97 % (3123418)Instructions burned: 132 (million)
% 2.55/0.97 % (3123431)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3375565553:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.55/0.97 % (3123419)Instruction limit reached!
% 2.55/0.97 % (3123419)------------------------------
% 2.55/0.97 % (3123419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123419)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123419)Termination reason: Instruction limit
% 2.55/0.97 % (3123419)Termination phase: Saturation
% 2.55/0.97 % (3123419)Time elapsed: 0.097 s
% 2.55/0.97 % (3123419)Peak memory usage: 13 MB
% 2.55/0.97 % (3123419)Instructions burned: 159 (million)
% 2.55/0.97 % (3123433)ott-21_1_sil=16000:fs=off:random_seed=2250137032:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.55/0.97 % (3123429)Instruction limit reached!
% 2.55/0.97 % (3123429)------------------------------
% 2.55/0.97 % (3123429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123429)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123429)Termination reason: Instruction limit
% 2.55/0.97 % (3123429)Termination phase: Saturation
% 2.55/0.97 % (3123429)Time elapsed: 0.078 s
% 2.55/0.97 % (3123429)Peak memory usage: 13 MB
% 2.55/0.97 % (3123429)Instructions burned: 132 (million)
% 2.55/0.97 % (3123435)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1871423286:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.55/0.97 % (3123433)Instruction limit reached!
% 2.55/0.97 % (3123433)------------------------------
% 2.55/0.97 % (3123433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123433)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123433)Termination reason: Instruction limit
% 2.55/0.97 % (3123433)Termination phase: Saturation
% 2.55/0.97 % (3123433)Time elapsed: 0.087 s
% 2.55/0.97 % (3123433)Peak memory usage: 12 MB
% 2.55/0.97 % (3123433)Instructions burned: 180 (million)
% 2.55/0.97 % (3123437)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4188586352:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.55/0.97 % TRYING [1]
% 2.55/0.97 % TRYING [2]
% 2.55/0.97 % TRYING [3]
% 2.55/0.97 % TRYING [4]
% 2.55/0.97 % (3123427)Instruction limit reached!
% 2.55/0.97 % (3123427)------------------------------
% 2.55/0.97 % (3123427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123427)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123427)Termination reason: Instruction limit
% 2.55/0.97 % (3123427)Termination phase: Finite model building SAT solving
% 2.55/0.97 % (3123427)Time elapsed: 0.220 s
% 2.55/0.97 % (3123427)Peak memory usage: 12 MB
% 2.55/0.97 % (3123427)Instructions burned: 715 (million)
% 2.55/0.97 % (3123439)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3709539575:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.55/0.97 % (3123435)Instruction limit reached!
% 2.55/0.97 % (3123435)------------------------------
% 2.55/0.97 % (3123435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123435)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123435)Termination reason: Instruction limit
% 2.55/0.97 % (3123435)Termination phase: Saturation
% 2.55/0.97 % (3123435)Time elapsed: 0.235 s
% 2.55/0.97 % (3123435)Peak memory usage: 15 MB
% 2.55/0.97 % (3123435)Instructions burned: 478 (million)
% 2.55/0.97 % (3123441)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1737833381:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.55/0.97 % (3123431)Instruction limit reached!
% 2.55/0.97 % (3123431)------------------------------
% 2.55/0.97 % (3123431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.97 % (3123431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.97 % (3123431)CaDiCaL version: 2.1.3
% 2.55/0.97 % (3123431)Termination reason: Instruction limit
% 2.55/0.97 % (3123431)Termination phase: Saturation
% 2.55/0.97 % (3123431)Time elapsed: 0.344 s
% 2.55/0.97 % (3123431)Peak memory usage: 18 MB
% 2.55/0.97 % (3123431)Instructions burned: 685 (million)
% 2.55/0.97 % TRYING [14]
% 2.55/0.97 % (3123443)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=55818550:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.55/0.97 % (3123415) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3123408-3123415"...
% 2.55/0.97 % (3123415)...printing done.
% 2.55/0.97 % (3123415)Refutation found. Thanks to Tanya!
% 2.55/0.97 % SZS status Unsatisfiable for theBenchmark
% 2.55/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/0.98 % (3123415)------------------------------
% 2.55/0.98 % (3123415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.98 % (3123415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.98 % (3123415)CaDiCaL version: 2.1.3
% 2.55/0.98 % (3123415)Termination reason: Refutation
% 2.55/0.98 % (3123415)Time elapsed: 0.508 s
% 2.55/0.98 % (3123415)Peak memory usage: 21 MB
% 2.55/0.98 % (3123415)Instructions burned: 989 (million)
% 2.55/0.98 % (3123408)Success in time 0.549 s
% 2.55/0.98 % Vampire exiting
%------------------------------------------------------------------------------