%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:57:52 PM UTC 2026
% Result : Theorem 2.77s 1.29s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 63 ( 7 unt; 1 def)
% Number of atoms : 354 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 444 ( 153 ~; 211 |; 80 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 110 ( 85 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_false_only(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) ) )
| ( ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& g_both(X1,X1) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_false_only(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& g_false_only(X1,X1) )
| ( g_false_only(X1,X0)
& g_true_only(X1,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_false_only(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) ) )
| ( ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& g_both(X1,X1) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_false_only(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& g_false_only(X1,X1) )
| ( g_false_only(X1,X0)
& g_true_only(X1,X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7,plain,
~ ( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_false_only(X1,X1)
| g_true_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) ) )
| ( ? [X2] :
( ? [X3] :
( g_both(X3,X2)
& g_both(X3,X3) )
& ~ ? [X4] :
( ( g_true_only(X4,X2)
& ( g_both(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_both(X4,X2)
& ( g_false_only(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_false_only(X4,X2)
& ( g_false_only(X4,X4)
| g_both(X4,X4) ) ) ) )
& ~ ? [X5] :
! [X6] :
( ( g_true_only(X6,X5)
& g_false_only(X6,X6) )
| ( g_false_only(X6,X5)
& g_true_only(X6,X6) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
( ? [X0] :
! [X1] :
( ( ~ g_true_only(X1,X0)
| ( ~ g_both(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_both(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_false_only(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ( ! [X2] :
( ! [X3] :
( ~ g_both(X3,X2)
| ~ g_both(X3,X3) )
| ? [X4] :
( ( g_true_only(X4,X2)
& ( g_both(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_both(X4,X2)
& ( g_false_only(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_false_only(X4,X2)
& ( g_false_only(X4,X4)
| g_both(X4,X4) ) ) ) )
| ? [X5] :
! [X6] :
( ( g_true_only(X6,X5)
& g_false_only(X6,X6) )
| ( g_false_only(X6,X5)
& g_true_only(X6,X6) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,definition,
( ! [X2] :
( ! [X3] :
( ~ g_both(X3,X2)
| ~ g_both(X3,X3) )
| ? [X4] :
( ( g_true_only(X4,X2)
& ( g_both(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_both(X4,X2)
& ( g_false_only(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_false_only(X4,X2)
& ( g_false_only(X4,X4)
| g_both(X4,X4) ) ) ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,plain,
( ? [X0] :
! [X1] :
( ( ~ g_true_only(X1,X0)
| ( ~ g_both(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_both(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_false_only(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ( sP0
| ? [X5] :
! [X6] :
( ( g_true_only(X6,X5)
& g_false_only(X6,X6) )
| ( g_false_only(X6,X5)
& g_true_only(X6,X6) ) ) ) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f11,plain,
( ! [X2] :
( ! [X3] :
( ~ g_both(X3,X2)
| ~ g_both(X3,X3) )
| ? [X4] :
( ( g_true_only(X4,X2)
& ( g_both(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_both(X4,X2)
& ( g_false_only(X4,X4)
| g_true_only(X4,X4) ) )
| ( g_false_only(X4,X2)
& ( g_false_only(X4,X4)
| g_both(X4,X4) ) ) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f12,plain,
( ! [X0] :
( ! [X1] :
( ~ g_both(X1,X0)
| ~ g_both(X1,X1) )
| ? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X2)
| g_true_only(X2,X2) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X2)
| g_both(X2,X2) ) ) ) )
| ~ sP0 ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
( ! [X0] :
( ! [X1] :
( ~ g_both(X1,X0)
| ~ g_both(X1,X1) )
| ( g_true_only(sK1(X0),X0)
& ( g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) ) )
| ( g_both(sK1(X0),X0)
& ( g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) ) )
| ( g_false_only(sK1(X0),X0)
& ( g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) ) ) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f12]) ).
fof(f14,plain,
( ? [X0] :
! [X1] :
( ( ~ g_true_only(X1,X0)
| ( ~ g_both(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_both(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_false_only(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ( sP0
| ? [X2] :
! [X3] :
( ( g_true_only(X3,X2)
& g_false_only(X3,X3) )
| ( g_false_only(X3,X2)
& g_true_only(X3,X3) ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f15,plain,
( ! [X1] :
( ( ~ g_true_only(X1,sK2)
| ( ~ g_both(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_both(X1,sK2)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_false_only(X1,sK2)
| ( ~ g_false_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ( sP0
| ! [X3] :
( ( g_true_only(X3,sK3)
& g_false_only(X3,X3) )
| ( g_false_only(X3,sK3)
& g_true_only(X3,X3) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X2,sK3)],[f14]) ).
fof(f25,plain,
! [X0,X1] :
( ~ g_both(X1,X0)
| ~ g_both(X1,X1)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X0,X1] :
( ~ g_both(X1,X0)
| ~ g_both(X1,X1)
| g_true_only(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0,X1] :
( ~ g_both(X1,X0)
| ~ g_both(X1,X1)
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0))
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X3] :
( g_false_only(X3,X3)
| sP0
| g_true_only(X3,X3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X1] :
( ~ g_false_only(X1,sK2)
| ~ g_both(X1,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X1] :
( ~ g_false_only(X1,sK2)
| ~ g_false_only(X1,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X1] :
( ~ g_both(X1,sK2)
| ~ g_true_only(X1,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X1] :
( ~ g_false_only(X1,X1)
| ~ g_both(X1,sK2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
! [X1] :
( ~ g_true_only(X1,sK2)
| ~ g_true_only(X1,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X1] :
( ~ g_both(X1,X1)
| ~ g_true_only(X1,sK2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f54,plain,
~ g_false_only(sK2,sK2),
inference(factoring,[],[f35]) ).
fof(f55,plain,
~ g_true_only(sK2,sK2),
inference(factoring,[],[f38]) ).
fof(f56,plain,
( sP0
| g_true_only(sK2,sK2) ),
inference(resolution,[],[f30,f54]) ).
fof(f62,plain,
sP0,
inference(forward_subsumption_resolution,[],[f56,f55]) ).
fof(f67,plain,
! [X0] :
( g_both(X0,sK2)
| g_true_only(X0,sK2)
| ~ g_false_only(X0,X0) ),
inference(resolution,[],[f40,f35]) ).
fof(f68,plain,
! [X0] :
( g_both(X0,sK2)
| g_true_only(X0,sK2)
| ~ g_both(X0,X0) ),
inference(resolution,[],[f40,f34]) ).
fof(f69,plain,
( g_both(sK2,sK2)
| g_true_only(sK2,sK2) ),
inference(resolution,[],[f40,f54]) ).
fof(f70,plain,
! [X0] :
( g_both(X0,X0)
| g_true_only(X0,X0)
| ~ g_both(X0,sK2) ),
inference(resolution,[],[f40,f37]) ).
fof(f71,plain,
! [X0] :
( g_both(X0,X0)
| ~ g_both(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f70,f36]) ).
fof(f72,plain,
g_both(sK2,sK2),
inference(forward_subsumption_resolution,[],[f69,f55]) ).
fof(f73,plain,
! [X0] :
( g_both(X0,sK2)
| ~ g_both(X0,X0) ),
inference(forward_subsumption_resolution,[],[f68,f39]) ).
fof(f74,plain,
! [X0] :
( g_true_only(X0,sK2)
| ~ g_false_only(X0,X0) ),
inference(forward_subsumption_resolution,[],[f67,f37]) ).
fof(f79,plain,
! [X0] :
( ~ g_both(X0,sK2)
| ~ g_true_only(X0,sK2) ),
inference(resolution,[],[f71,f39]) ).
fof(f106,plain,
! [X0,X1] :
( g_both(sK1(X0),sK1(X0))
| ~ g_both(X1,X1)
| ~ g_both(X1,X0)
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),X0) ),
inference(forward_subsumption_resolution,[],[f25,f62]) ).
fof(f114,plain,
! [X0,X1] :
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| g_true_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_false_only(sK1(X1),X1)
| ~ g_true_only(sK1(X1),sK2) ),
inference(resolution,[],[f106,f39]) ).
fof(f115,plain,
! [X0,X1] :
( g_false_only(sK1(X1),X1)
| ~ g_both(X0,X1)
| g_both(sK1(X1),X1)
| ~ g_both(X0,X0)
| ~ g_true_only(sK1(X1),sK2) ),
inference(forward_subsumption_resolution,[],[f114,f38]) ).
fof(f125,plain,
! [X0,X1] :
( g_false_only(sK1(X0),sK1(X0))
| ~ g_both(X1,X1)
| g_true_only(sK1(X0),X0)
| ~ g_both(X1,X0)
| g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),X0) ),
inference(forward_subsumption_resolution,[],[f27,f30]) ).
fof(f133,plain,
! [X0,X1] :
( ~ g_both(X0,X0)
| g_true_only(sK1(X1),X1)
| ~ g_both(X0,X1)
| g_true_only(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),X1)
| ~ g_both(sK1(X1),sK2) ),
inference(resolution,[],[f125,f37]) ).
fof(f134,plain,
! [X0,X1] :
( g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1)
| ~ g_both(X0,X1)
| ~ g_both(X0,X0)
| ~ g_both(sK1(X1),sK2) ),
inference(forward_subsumption_resolution,[],[f133,f36]) ).
fof(f135,plain,
! [X0] :
( ~ g_both(X0,sK2)
| g_both(sK1(sK2),sK2)
| ~ g_both(X0,X0)
| ~ g_true_only(sK1(sK2),sK2)
| ~ g_false_only(sK1(sK2),sK1(sK2)) ),
inference(resolution,[],[f115,f35]) ).
fof(f137,plain,
! [X0] :
( g_both(sK1(sK2),sK2)
| ~ g_both(X0,X0)
| ~ g_true_only(sK1(sK2),sK2)
| ~ g_false_only(sK1(sK2),sK1(sK2)) ),
inference(forward_subsumption_resolution,[],[f135,f73]) ).
fof(f138,plain,
! [X0] :
( ~ g_both(X0,X0)
| ~ g_true_only(sK1(sK2),sK2)
| ~ g_false_only(sK1(sK2),sK1(sK2)) ),
inference(forward_subsumption_resolution,[],[f137,f79]) ).
fof(f139,plain,
! [X0] :
( ~ g_false_only(sK1(sK2),sK1(sK2))
| ~ g_both(X0,X0) ),
inference(forward_subsumption_resolution,[],[f138,f74]) ).
fof(f143,plain,
! [X0] :
( g_both(sK1(sK2),sK1(sK2))
| ~ g_both(X0,X0)
| g_true_only(sK1(sK2),sK1(sK2)) ),
inference(resolution,[],[f139,f40]) ).
fof(f145,plain,
! [X0,X1] :
( g_false_only(sK1(X0),sK1(X0))
| ~ g_both(X1,X1)
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| ~ g_both(X1,X0)
| g_both(sK1(X0),sK1(X0)) ),
inference(forward_subsumption_resolution,[],[f28,f62]) ).
fof(f150,plain,
! [X0,X1] :
( ~ g_both(X0,X0)
| g_true_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK2)
| ~ g_both(X0,sK2)
| g_both(sK1(sK2),sK1(sK2))
| ~ g_both(X1,X1) ),
inference(resolution,[],[f145,f139]) ).
fof(f154,plain,
! [X0,X1] :
( ~ g_both(X0,X0)
| g_true_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK2)
| ~ g_both(X0,sK2)
| ~ g_both(X1,X1) ),
inference(forward_subsumption_resolution,[],[f150,f73]) ).
fof(f155,plain,
! [X0,X1] :
( ~ g_both(X0,X0)
| g_true_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK2)
| ~ g_both(X1,X1) ),
inference(forward_subsumption_resolution,[],[f154,f73]) ).
fof(f157,plain,
! [X0] :
( ~ g_both(X0,X0)
| g_true_only(sK1(sK2),sK1(sK2))
| ~ g_true_only(sK1(sK2),sK2) ),
inference(resolution,[],[f143,f39]) ).
fof(f158,plain,
! [X0] :
( ~ g_true_only(sK1(sK2),sK2)
| ~ g_both(X0,X0) ),
inference(forward_subsumption_resolution,[],[f157,f38]) ).
fof(f161,plain,
! [X0,X1] :
( g_both(sK1(sK2),sK2)
| ~ g_both(X0,X0)
| ~ g_both(X1,X1) ),
inference(forward_subsumption_resolution,[],[f155,f158]) ).
fof(f167,plain,
! [X0] :
( g_true_only(sK1(sK2),sK2)
| ~ g_both(X0,sK2)
| ~ g_both(X0,X0)
| ~ g_both(sK1(sK2),sK2)
| ~ g_both(sK1(sK2),sK1(sK2)) ),
inference(resolution,[],[f134,f34]) ).
fof(f168,plain,
! [X0] :
( ~ g_both(X0,sK2)
| ~ g_both(X0,X0)
| ~ g_both(sK1(sK2),sK2)
| ~ g_both(sK1(sK2),sK1(sK2)) ),
inference(forward_subsumption_resolution,[],[f167,f79]) ).
fof(f169,plain,
! [X0] :
( ~ g_both(X0,sK2)
| ~ g_both(X0,X0)
| ~ g_both(sK1(sK2),sK1(sK2)) ),
inference(forward_subsumption_resolution,[],[f168,f73]) ).
fof(f170,plain,
! [X0] :
( ~ g_both(sK1(sK2),sK1(sK2))
| ~ g_both(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f169,f71]) ).
fof(f180,plain,
! [X0] :
( ~ g_both(sK1(sK2),sK2)
| ~ g_both(X0,sK2) ),
inference(resolution,[],[f170,f71]) ).
fof(f186,plain,
~ g_both(sK1(sK2),sK2),
inference(factoring,[],[f180]) ).
fof(f197,plain,
! [X0,X1] :
( ~ g_both(X1,X1)
| ~ g_both(X0,X0) ),
inference(resolution,[],[f186,f161]) ).
fof(f216,plain,
! [X0] : ~ g_both(X0,X0),
inference(resolution,[],[f197,f72]) ).
fof(f223,plain,
$false,
inference(resolution,[],[f216,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV515+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.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 : Mon Sep 28 06:32:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/1.29 % (3651496)Detected formulas, will run a generic FOF schedule.
% 2.77/1.29 % (3651590)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=577473132:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.77/1.29 % (3651594)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=819626858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.77/1.29 % (3651591)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1449053699:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.77/1.29 % (3651593)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3367316387:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.77/1.29 % (3651595)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2110503500:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.77/1.29 % (3651592)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2281588798:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.77/1.29 % (3651594)First to succeed.
% 2.77/1.29 % (3651595)Also succeeded, but the first one will report.
% 2.77/1.29 % (3651594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3651496"
% 2.77/1.29 % (3651593)Also succeeded, but the first one will report.
% 2.77/1.29 % (3651596)dis-21_1_sil=8000:lcm=predicate:random_seed=1151078339:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.77/1.29 % (3651596)Also succeeded, but the first one will report.
% 2.77/1.29 % (3651594)Refutation found. Thanks to Tanya!
% 2.77/1.29 % SZS status Theorem for theBenchmark
% 2.77/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.50 % (3651594)------------------------------
% 3.58/1.50 % (3651594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.50 % (3651594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.50 % (3651594)CaDiCaL version: 2.1.3
% 3.58/1.50 % (3651594)Termination reason: Refutation
% 3.58/1.50 % (3651594)Time elapsed: 0.005 s
% 3.58/1.50 % (3651594)Peak memory usage: 88 MB
% 3.58/1.50 % (3651594)Instructions burned: 7 (million)
% 3.58/1.50 % (3651594)------------------------------
% 3.58/1.50 % (3651594)------------------------------
% 3.58/1.50 % (3651496)Success in time 0.423 s
% 3.58/1.50 % Vampire exiting
%------------------------------------------------------------------------------