%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP109-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:40 AM UTC 2026
% Result : Unsatisfiable 4.22s 1.11s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 7
% Syntax : Number of formulae : 105 ( 80 unt; 4 def)
% Number of atoms : 140 ( 98 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 32 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 204 ( 0 sgn 204 !; 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/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))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/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))
| multiply(a4,b4) != multiply(b4,a4) ),
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))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f7,definition,
( spl0_1
<=> inverse(double_divide(b4,a4)) = inverse(double_divide(a4,b4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> a2 = inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_4
<=> inverse(double_divide(a1,inverse(a1))) = inverse(double_divide(b1,inverse(b1))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| spl0_4 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f19,f15,f11,f7]) ).
fof(f23,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(f24,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(f29,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(superposition,[],[f1,f24]) ).
fof(f36,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,inverse(X0))),double_divide(X1,inverse(X2)))) = X2,
inference(superposition,[],[f29,f29]) ).
fof(f49,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(X2))))),X0) = X2,
inference(superposition,[],[f36,f1]) ).
fof(f61,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,double_divide(X1,inverse(X2)))),double_divide(X3,double_divide(X3,inverse(X0))))) = X2,
inference(superposition,[],[f49,f49]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X1,inverse(X0))),X2) = double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X3,inverse(X0)))),
inference(superposition,[],[f1,f49]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X0,inverse(X1)))),inverse(X1))),double_divide(X2,double_divide(X2,inverse(X3)))) = X3,
inference(superposition,[],[f49,f62]) ).
fof(f113,plain,
! [X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,double_divide(X0,inverse(X1)))),inverse(X3))),inverse(X1)) = X3,
inference(forward_demodulation,[],[f105,f62]) ).
fof(f125,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,double_divide(X1,inverse(X2)))),inverse(X2))) = X0,
inference(superposition,[],[f113,f1]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),inverse(X1))),double_divide(inverse(double_divide(X2,double_divide(X2,inverse(X3)))),inverse(X3)))),X0) = X1,
inference(superposition,[],[f29,f125]) ).
fof(f163,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X1),X0)))),double_divide(inverse(double_divide(X2,double_divide(X2,inverse(X3)))),inverse(X3))) = X1,
inference(superposition,[],[f1,f125]) ).
fof(f164,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X0))) = X1,
inference(forward_demodulation,[],[f163,f125]) ).
fof(f166,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
inference(forward_demodulation,[],[f161,f125]) ).
fof(f205,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(superposition,[],[f166,f1]) ).
fof(f235,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X0)) = X0,
inference(superposition,[],[f205,f166]) ).
fof(f279,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(inverse(double_divide(inverse(X2),X2)),inverse(X1))),X0)) = X0,
inference(superposition,[],[f36,f235]) ).
fof(f287,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X1),X1)),inverse(X2))),inverse(X0))),X0) = X2,
inference(superposition,[],[f29,f235]) ).
fof(f289,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X1),X1)),inverse(double_divide(inverse(X2),X0)))),inverse(X0)) = X2,
inference(superposition,[],[f1,f235]) ).
fof(f290,plain,
! [X2,X0] : double_divide(inverse(double_divide(inverse(X2),X0)),inverse(X0)) = X2,
inference(forward_demodulation,[],[f289,f235]) ).
fof(f292,plain,
! [X2,X0] : double_divide(inverse(double_divide(inverse(X2),inverse(X0))),X0) = X2,
inference(forward_demodulation,[],[f287,f235]) ).
fof(f295,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f279,f235]) ).
fof(f302,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(inverse(X1),X1)),X0),
inference(superposition,[],[f295,f235]) ).
fof(f308,plain,
! [X0,X1] : double_divide(inverse(X1),X1) = double_divide(inverse(X0),X0),
inference(superposition,[],[f295,f205]) ).
fof(f309,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
inference(superposition,[],[f295,f164]) ).
fof(f313,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,double_divide(X0,inverse(X1))),
inference(superposition,[],[f295,f125]) ).
fof(f485,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f290,f166]) ).
fof(f538,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(superposition,[],[f205,f485]) ).
fof(f544,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f295,f485]) ).
fof(f643,plain,
! [X2,X0,X1] : double_divide(inverse(inverse(X0)),double_divide(inverse(double_divide(X1,double_divide(X1,inverse(X2)))),X0)) = X2,
inference(superposition,[],[f61,f538]) ).
fof(f660,plain,
! [X2,X0] : double_divide(inverse(inverse(X0)),double_divide(inverse(inverse(X2)),X0)) = X2,
inference(forward_demodulation,[],[f643,f313]) ).
fof(f667,plain,
! [X2,X0] : double_divide(inverse(inverse(X0)),double_divide(X2,X0)) = X2,
inference(forward_demodulation,[],[f660,f485]) ).
fof(f668,plain,
! [X2,X0] : double_divide(X0,double_divide(X2,X0)) = X2,
inference(forward_demodulation,[],[f667,f485]) ).
fof(f699,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f544,f668]) ).
fof(f908,plain,
( inverse(double_divide(a4,b4)) != inverse(double_divide(a4,b4))
| spl0_1 ),
inference(superposition,[],[f9,f699]) ).
fof(f960,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f908]) ).
fof(f961,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f1068,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(c3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f13,f699]) ).
fof(f1069,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f1068,f699]) ).
fof(f1070,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f1069,f699]) ).
fof(f1479,plain,
! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X2),inverse(X0)))) = X2,
inference(forward_demodulation,[],[f292,f699]) ).
fof(f1480,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(X0,inverse(X1)))),
inference(superposition,[],[f1479,f485]) ).
fof(f1554,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X1,inverse(X1))),X0),
inference(forward_demodulation,[],[f302,f699]) ).
fof(f1555,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f309,f485]) ).
fof(f1786,plain,
! [X0,X1] : double_divide(inverse(X1),X1) = inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f308,f1554]) ).
fof(f1902,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X0))) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[],[f1786,f699]) ).
fof(f2223,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(X0,inverse(X1))),
inference(superposition,[],[f313,f1480]) ).
fof(f3234,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,X2))))),inverse(double_divide(inverse(X3),X0))))) = X3,
inference(forward_demodulation,[],[f23,f699]) ).
fof(f3235,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(inverse(inverse(double_divide(inverse(X3),X0))),double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,X2)))))) = X3,
inference(forward_demodulation,[],[f3234,f309]) ).
fof(f3236,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(inverse(inverse(double_divide(inverse(X3),X0))),double_divide(X1,double_divide(inverse(double_divide(X1,X2)),X0)))) = X3,
inference(forward_demodulation,[],[f3235,f309]) ).
fof(f3237,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(double_divide(inverse(X3),X0),double_divide(X1,double_divide(inverse(double_divide(X1,X2)),X0)))) = X3,
inference(forward_demodulation,[],[f3236,f485]) ).
fof(f3359,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(double_divide(inverse(X2),double_divide(X3,X1)),double_divide(inverse(double_divide(X3,inverse(X0))),X0))) = X2,
inference(superposition,[],[f3237,f29]) ).
fof(f3416,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(inverse(X0),X1),inverse(X0))),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X2))),X1))) = X2,
inference(superposition,[],[f1,f3237]) ).
fof(f3429,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X0),double_divide(inverse(X0),X1))),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X2))),X1))) = X2,
inference(forward_demodulation,[],[f3416,f699]) ).
fof(f3477,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(double_divide(inverse(X2),double_divide(X3,X1)),double_divide(X0,inverse(double_divide(X3,inverse(X0)))))) = X2,
inference(forward_demodulation,[],[f3359,f699]) ).
fof(f3541,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(inverse(X0),X1)),X0),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X2))),X1))) = X2,
inference(forward_demodulation,[],[f3429,f309]) ).
fof(f3573,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(inverse(X2),double_divide(X3,X1)),inverse(X3))) = X2,
inference(forward_demodulation,[],[f3477,f1480]) ).
fof(f3611,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(inverse(X0),X1))),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X2))),X1))) = X2,
inference(forward_demodulation,[],[f3541,f699]) ).
fof(f3631,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(inverse(X3),double_divide(inverse(X2),double_divide(X3,X1)))) = X2,
inference(forward_demodulation,[],[f3573,f699]) ).
fof(f3654,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),X0)),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X2))),X1))) = X2,
inference(forward_demodulation,[],[f3611,f309]) ).
fof(f3674,plain,
! [X2,X3,X1] : double_divide(inverse(X1),double_divide(X3,double_divide(inverse(double_divide(X3,inverse(X2))),X1))) = X2,
inference(forward_demodulation,[],[f3654,f668]) ).
fof(f5308,plain,
! [X2,X3,X1] : double_divide(inverse(X1),double_divide(X3,double_divide(double_divide(X2,inverse(X3)),X1))) = X2,
inference(forward_demodulation,[],[f3674,f2223]) ).
fof(f7597,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(inverse(X2)),double_divide(X3,double_divide(X3,inverse(X0))))) = double_divide(inverse(X1),double_divide(X2,double_divide(X0,X1))),
inference(superposition,[],[f5308,f49]) ).
fof(f7758,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X3,double_divide(X3,inverse(X0)))),inverse(X2)) = double_divide(inverse(X1),double_divide(X2,double_divide(X0,X1))),
inference(forward_demodulation,[],[f7597,f309]) ).
fof(f7808,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),double_divide(X2,double_divide(X0,X1))) = inverse(double_divide(X2,double_divide(X3,double_divide(X3,inverse(X0))))),
inference(forward_demodulation,[],[f7758,f1555]) ).
fof(f7835,plain,
! [X2,X0,X1] : inverse(double_divide(X2,inverse(X0))) = double_divide(inverse(X1),double_divide(X2,double_divide(X0,X1))),
inference(forward_demodulation,[],[f7808,f313]) ).
fof(f7845,plain,
! [X2,X0,X1] : double_divide(X0,inverse(X2)) = double_divide(inverse(X1),double_divide(X2,double_divide(X0,X1))),
inference(forward_demodulation,[],[f7835,f2223]) ).
fof(f7975,plain,
! [X2,X0,X1] : double_divide(inverse(X1),inverse(X0)) = double_divide(inverse(double_divide(inverse(X0),inverse(X2))),double_divide(X1,inverse(X2))),
inference(superposition,[],[f24,f3631]) ).
fof(f8001,plain,
! [X2,X0,X1] : double_divide(inverse(X1),inverse(X0)) = double_divide(double_divide(inverse(inverse(X2)),X0),double_divide(X1,inverse(X2))),
inference(forward_demodulation,[],[f7975,f309]) ).
fof(f8086,plain,
! [X2,X0,X1] : double_divide(inverse(X1),inverse(X0)) = double_divide(double_divide(X2,X0),double_divide(X1,inverse(X2))),
inference(forward_demodulation,[],[f8001,f485]) ).
fof(f8143,plain,
! [X2,X0,X1] : inverse(double_divide(X0,X1)) = double_divide(double_divide(X2,X0),double_divide(X1,inverse(X2))),
inference(forward_demodulation,[],[f8086,f1555]) ).
fof(f11618,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,X0))) = double_divide(inverse(inverse(X2)),inverse(double_divide(X0,X1))),
inference(superposition,[],[f7845,f8143]) ).
fof(f11734,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),inverse(X2))) = double_divide(X1,inverse(double_divide(X2,X0))),
inference(forward_demodulation,[],[f11618,f1555]) ).
fof(f11825,plain,
! [X2,X0,X1] : double_divide(X2,inverse(double_divide(X0,X1))) = double_divide(X1,inverse(double_divide(X2,X0))),
inference(forward_demodulation,[],[f11734,f2223]) ).
fof(f33687,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(superposition,[],[f1070,f11825]) ).
fof(f33688,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f33687]) ).
fof(f33689,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f33688]) ).
fof(f36019,plain,
( a2 != double_divide(double_divide(b2,inverse(b2)),inverse(a2))
| spl0_3 ),
inference(forward_demodulation,[],[f17,f2223]) ).
fof(f36021,plain,
( a2 != double_divide(inverse(a2),double_divide(b2,inverse(b2)))
| spl0_3 ),
inference(forward_demodulation,[],[f36019,f699]) ).
fof(f36023,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f36021,f538]) ).
fof(f36024,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f36023]) ).
fof(f36028,plain,
( inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1))
| spl0_4 ),
inference(forward_demodulation,[],[f21,f2223]) ).
fof(f36030,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f36028,f1902]) ).
fof(f36031,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f36030]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s512,plain,
spl0_1,
inference(sat_conversion,[],[f961]) ).
cnf(s6080,plain,
spl0_2,
inference(sat_conversion,[],[f33689]) ).
cnf(s6383,plain,
spl0_3,
inference(sat_conversion,[],[f36024]) ).
cnf(s6385,plain,
spl0_4,
inference(sat_conversion,[],[f36031]) ).
cnf(s6386,plain,
$false,
inference(rat,[],[s4,s6385,s6383,s6080,s512]) ).
fof(f36032,plain,
$false,
inference(avatar_sat_refutation,[],[s6386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP109-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:20:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.22/1.11 % (684106)Will run a generic schedule for satisfiability detection.
% 4.22/1.11 % (684111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3342938081_2999 on theBenchmark for (2999ds/0Mi)
% 4.22/1.11 % TRYING [1]
% 4.22/1.11 % TRYING [2]
% 4.22/1.11 % TRYING [3]
% 4.22/1.11 % (684112)% WARNING: option uhcvi not known.
% 4.22/1.11 % (684114)dis+10_1_sil=32000:sp=arity:random_seed=3941565734:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.22/1.11 % (684112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=339462969:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.22/1.11 % (684113)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=139243027:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.22/1.11 % (684115)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=183655750:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.22/1.11 % (684117)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=392069952:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.22/1.11 % (684116)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1611195718:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.22/1.11 % TRYING [4]
% 4.22/1.11 % (684114)Instruction limit reached!
% 4.22/1.11 % (684114)------------------------------
% 4.22/1.11 % (684114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684114)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684114)Termination reason: Instruction limit
% 4.22/1.11 % (684114)Termination phase: Saturation
% 4.22/1.11 % (684114)Time elapsed: 0.058 s
% 4.22/1.11 % (684114)Peak memory usage: 12 MB
% 4.22/1.11 % (684114)Instructions burned: 104 (million)
% 4.22/1.11 % (684115)Instruction limit reached!
% 4.22/1.11 % (684115)------------------------------
% 4.22/1.11 % (684115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684115)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684115)Termination reason: Instruction limit
% 4.22/1.11 % (684115)Termination phase: Saturation
% 4.22/1.11 % (684115)Time elapsed: 0.069 s
% 4.22/1.11 % (684115)Peak memory usage: 13 MB
% 4.22/1.11 % (684115)Instructions burned: 118 (million)
% 4.22/1.11 % (684116)Instruction limit reached!
% 4.22/1.11 % (684116)------------------------------
% 4.22/1.11 % (684116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684116)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684116)Termination reason: Instruction limit
% 4.22/1.11 % (684116)Termination phase: Saturation
% 4.22/1.11 % (684116)Time elapsed: 0.074 s
% 4.22/1.11 % (684116)Peak memory usage: 13 MB
% 4.22/1.11 % (684116)Instructions burned: 133 (million)
% 4.22/1.11 % (684125)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1799357453:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.22/1.11 % TRYING [1]
% 4.22/1.11 % TRYING [2]
% 4.22/1.11 % TRYING [3]
% 4.22/1.11 % (684126)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2442777800:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.22/1.11 % (684127)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=88198506:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.22/1.11 % (684117)Instruction limit reached!
% 4.22/1.11 % (684117)------------------------------
% 4.22/1.11 % (684117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684117)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684117)Termination reason: Instruction limit
% 4.22/1.11 % (684117)Termination phase: Saturation
% 4.22/1.11 % (684117)Time elapsed: 0.099 s
% 4.22/1.11 % (684117)Peak memory usage: 13 MB
% 4.22/1.11 % (684117)Instructions burned: 159 (million)
% 4.22/1.11 % TRYING [4]
% 4.22/1.11 % (684131)ott-21_1_sil=16000:fs=off:random_seed=4035447463:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.22/1.11 % (684126)Instruction limit reached!
% 4.22/1.11 % (684126)------------------------------
% 4.22/1.11 % (684126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684126)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684126)Termination reason: Instruction limit
% 4.22/1.11 % (684126)Termination phase: Saturation
% 4.22/1.11 % (684126)Time elapsed: 0.082 s
% 4.22/1.11 % (684126)Peak memory usage: 12 MB
% 4.22/1.11 % (684126)Instructions burned: 132 (million)
% 4.22/1.11 % (684133)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3054086695:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.22/1.11 % (684131)Instruction limit reached!
% 4.22/1.11 % (684131)------------------------------
% 4.22/1.11 % (684131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684131)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684131)Termination reason: Instruction limit
% 4.22/1.11 % (684131)Termination phase: Saturation
% 4.22/1.11 % (684131)Time elapsed: 0.089 s
% 4.22/1.11 % (684131)Peak memory usage: 12 MB
% 4.22/1.11 % (684131)Instructions burned: 180 (million)
% 4.22/1.11 % (684135)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3400001238:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.22/1.11 % TRYING [5]
% 4.22/1.11 % TRYING [1]
% 4.22/1.11 % TRYING [2]
% 4.22/1.11 % TRYING [3]
% 4.22/1.11 % TRYING [4]
% 4.22/1.11 % TRYING [5]
% 4.22/1.11 % (684133)Instruction limit reached!
% 4.22/1.11 % (684133)------------------------------
% 4.22/1.11 % (684133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684133)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684133)Termination reason: Instruction limit
% 4.22/1.11 % (684133)Termination phase: Saturation
% 4.22/1.11 % (684133)Time elapsed: 0.256 s
% 4.22/1.11 % (684133)Peak memory usage: 16 MB
% 4.22/1.11 % (684133)Instructions burned: 479 (million)
% 4.22/1.11 % (684127)Instruction limit reached!
% 4.22/1.11 % (684127)------------------------------
% 4.22/1.11 % (684127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684127)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684127)Termination reason: Instruction limit
% 4.22/1.11 % (684127)Termination phase: Saturation
% 4.22/1.11 % (684127)Time elapsed: 0.360 s
% 4.22/1.11 % (684127)Peak memory usage: 19 MB
% 4.22/1.11 % (684127)Instructions burned: 685 (million)
% 4.22/1.11 % (684137)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3233470161:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.22/1.11 % (684138)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=499780102:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.22/1.11 % (684125)Instruction limit reached!
% 4.22/1.11 % (684125)------------------------------
% 4.22/1.11 % (684125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684125)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684125)Termination reason: Instruction limit
% 4.22/1.11 % (684125)Termination phase: Finite model building SAT solving
% 4.22/1.11 % (684125)Time elapsed: 0.420 s
% 4.22/1.11 % (684125)Peak memory usage: 13 MB
% 4.22/1.11 % (684125)Instructions burned: 714 (million)
% 4.22/1.11 % TRYING [14]
% 4.22/1.11 % (684141)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=3999543026:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.22/1.11 % (684113) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-684106-684113"...
% 4.22/1.11 % (684141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-684106-684141"...
% 4.22/1.11 % (684113)...printing done.
% 4.22/1.11 % (684141)...printing done.
% 4.22/1.11 % (684113)Refutation found. Thanks to Tanya!
% 4.22/1.11 % SZS status Unsatisfiable for theBenchmark
% 4.22/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 4.22/1.11 % (684113)------------------------------
% 4.22/1.11 % (684113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/1.11 % (684113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/1.11 % (684113)CaDiCaL version: 2.1.3
% 4.22/1.11 % (684113)Termination reason: Refutation
% 4.22/1.11 % (684113)Time elapsed: 0.629 s
% 4.22/1.11 % (684113)Peak memory usage: 24 MB
% 4.22/1.11 % (684113)Instructions burned: 1167 (million)
% 4.22/1.11 % (684106)Success in time 0.679 s
% 4.22/1.11 % Vampire exiting
%------------------------------------------------------------------------------