%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO109+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:20 AM UTC 2026
% Result : Theorem 7.48s 1.38s
% Output : Refutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 102 ( 59 unt; 9 def)
% Number of atoms : 154 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 109 ( 57 ~; 48 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 98 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] : p(nand(nand(X0,nand(X1,X2)),nand(nand(nand(X3,X2),nand(nand(X0,X3),nand(X0,X3))),nand(X0,nand(X0,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsbergs_axiom) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( p(nand(X0,nand(X1,X2)))
& p(X0) )
=> p(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens_for_nand) ).
fof(f3,conjecture,
! [X0,X1] : p(nand(nand(X0,nand(X1,X1)),nand(nand(nand(X1,X1),nand(nand(X0,X0),nand(X0,X0))),nand(nand(X1,X1),nand(nand(X0,X0),nand(X0,X0)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f4,negated_conjecture,
~ ! [X0,X1] : p(nand(nand(X0,nand(X1,X1)),nand(nand(nand(X1,X1),nand(nand(X0,X0),nand(X0,X0))),nand(nand(X1,X1),nand(nand(X0,X0),nand(X0,X0)))))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0,X1,X2] :
( p(X2)
| ~ p(nand(X0,nand(X1,X2)))
| ~ p(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f6,plain,
! [X0,X1,X2] :
( p(X2)
| ~ p(nand(X0,nand(X1,X2)))
| ~ p(X0) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0,X1] : ~ p(nand(nand(X0,nand(X1,X1)),nand(nand(nand(X1,X1),nand(nand(X0,X0),nand(X0,X0))),nand(nand(X1,X1),nand(nand(X0,X0),nand(X0,X0)))))),
inference(ennf_transformation,[],[f4]) ).
fof(f8,plain,
~ p(nand(nand(sK0,nand(sK1,sK1)),nand(nand(nand(sK1,sK1),nand(nand(sK0,sK0),nand(sK0,sK0))),nand(nand(sK1,sK1),nand(nand(sK0,sK0),nand(sK0,sK0)))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f7]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : p(nand(nand(X0,nand(X1,X2)),nand(nand(nand(X3,X2),nand(nand(X0,X3),nand(X0,X3))),nand(X0,nand(X0,X1))))),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ p(nand(X0,nand(X1,X2)))
| p(X2)
| ~ p(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
~ p(nand(nand(sK0,nand(sK1,sK1)),nand(nand(nand(sK1,sK1),nand(nand(sK0,sK0),nand(sK0,sK0))),nand(nand(sK1,sK1),nand(nand(sK0,sK0),nand(sK0,sK0)))))),
inference(cnf_transformation,[],[f8]) ).
fof(f12,definition,
sF2 = nand(sK1,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
nand(sK1,sK1) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = nand(sK0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
nand(sK0,sF2) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = nand(sK0,sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
nand(sK0,sK0) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF5 = nand(sF4,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
nand(sF4,sF4) = sF5,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF6 = nand(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f21,plain,
nand(sF2,sF5) = sF6,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF7 = nand(sF6,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f23,plain,
nand(sF6,sF6) = sF7,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF8 = nand(sF3,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f25,plain,
nand(sF3,sF7) = sF8,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
~ p(sF8),
inference(definition_folding,[],[f11,f25,f23,f21,f19,f17,f17,f13,f21,f19,f17,f17,f13,f15,f13]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ p(nand(X0,nand(X1,X2)))
| p(nand(X0,nand(X0,X1))) ),
inference(resolution,[],[f9,f10]) ).
fof(f91,plain,
! [X0,X1] : p(nand(nand(X0,sF3),nand(nand(nand(X1,sF2),nand(nand(X0,X1),nand(X0,X1))),nand(X0,nand(X0,sK0))))),
inference(superposition,[],[f9,f15]) ).
fof(f94,plain,
! [X0,X1] : p(nand(nand(X0,sF6),nand(nand(nand(X1,sF5),nand(nand(X0,X1),nand(X0,X1))),nand(X0,nand(X0,sF2))))),
inference(superposition,[],[f9,f21]) ).
fof(f96,plain,
! [X0,X1] : p(nand(nand(X0,sF5),nand(nand(nand(X1,sF4),nand(nand(X0,X1),nand(X0,X1))),nand(X0,nand(X0,sF4))))),
inference(superposition,[],[f9,f19]) ).
fof(f98,plain,
! [X0,X1] : p(nand(nand(X0,nand(X1,sF2)),nand(nand(sF3,nand(nand(X0,sK0),nand(X0,sK0))),nand(X0,nand(X0,X1))))),
inference(superposition,[],[f9,f15]) ).
fof(f99,plain,
! [X0,X1] : p(nand(nand(X0,nand(X1,sK0)),nand(nand(sF4,nand(nand(X0,sK0),nand(X0,sK0))),nand(X0,nand(X0,X1))))),
inference(superposition,[],[f9,f17]) ).
fof(f106,plain,
! [X0,X1] : p(nand(nand(sK0,nand(X0,X1)),nand(nand(nand(sK0,X1),nand(sF4,sF4)),nand(sK0,nand(sK0,X0))))),
inference(superposition,[],[f9,f17]) ).
fof(f109,plain,
! [X0,X1] : p(nand(nand(sF3,nand(X0,X1)),nand(nand(nand(sF7,X1),nand(sF8,sF8)),nand(sF3,nand(sF3,X0))))),
inference(superposition,[],[f9,f25]) ).
fof(f111,plain,
! [X0,X1] : p(nand(nand(sF6,nand(X0,X1)),nand(nand(nand(sF6,X1),nand(sF7,sF7)),nand(sF6,nand(sF6,X0))))),
inference(superposition,[],[f9,f23]) ).
fof(f117,plain,
! [X0,X1] : p(nand(nand(sF4,nand(sF4,X0)),nand(nand(nand(X1,X0),nand(nand(sF4,X1),nand(sF4,X1))),nand(sF4,sF5)))),
inference(superposition,[],[f9,f19]) ).
fof(f120,plain,
! [X0,X1] : p(nand(nand(sK0,nand(X0,X1)),nand(nand(nand(sK0,X1),sF5),nand(sK0,nand(sK0,X0))))),
inference(forward_demodulation,[],[f106,f19]) ).
fof(f122,plain,
! [X2,X3,X0,X1] : p(nand(nand(X0,nand(X1,X2)),nand(nand(X0,nand(X1,X2)),nand(nand(X3,X2),nand(nand(X0,X3),nand(X0,X3)))))),
inference(resolution,[],[f90,f9]) ).
fof(f123,plain,
! [X0] :
( p(nand(X0,nand(X0,sK0)))
| ~ p(nand(X0,sF3)) ),
inference(superposition,[],[f90,f15]) ).
fof(f124,plain,
! [X0] :
( p(nand(X0,nand(X0,sK0)))
| ~ p(nand(X0,sF4)) ),
inference(superposition,[],[f90,f17]) ).
fof(f126,plain,
! [X0] :
( p(nand(X0,nand(X0,sF2)))
| ~ p(nand(X0,sF6)) ),
inference(superposition,[],[f90,f21]) ).
fof(f157,plain,
p(nand(nand(sK0,sF2),nand(nand(nand(sK0,sK1),sF5),nand(sK0,nand(sK0,sK1))))),
inference(superposition,[],[f120,f13]) ).
fof(f167,plain,
p(nand(sF3,nand(nand(nand(sK0,sK1),sF5),nand(sK0,nand(sK0,sK1))))),
inference(forward_demodulation,[],[f157,f15]) ).
fof(f205,plain,
! [X0,X1] : p(nand(nand(sF3,nand(X0,X1)),nand(nand(sF3,nand(X0,X1)),nand(nand(sF7,X1),nand(sF8,sF8))))),
inference(resolution,[],[f109,f90]) ).
fof(f246,plain,
p(nand(nand(sF6,sF7),nand(nand(sF7,nand(sF7,sF7)),nand(sF6,sF7)))),
inference(superposition,[],[f111,f23]) ).
fof(f253,plain,
! [X0,X1] : p(nand(nand(X0,sF3),nand(nand(X0,sF3),nand(nand(X1,sF2),nand(nand(X0,X1),nand(X0,X1)))))),
inference(resolution,[],[f91,f90]) ).
fof(f279,definition,
( spl9_19
<=> p(nand(sF6,sF7)) ),
introduced(definition,[new_symbols(definition,[spl9_19])],[avatar_definition]) ).
fof(f280,plain,
( ~ p(nand(sF6,sF7))
| spl9_19 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f281,plain,
( p(nand(sF6,sF7))
| ~ spl9_19 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f288,definition,
( spl9_21
<=> p(nand(sF4,sF5)) ),
introduced(definition,[new_symbols(definition,[spl9_21])],[avatar_definition]) ).
fof(f289,plain,
( ~ p(nand(sF4,sF5))
| spl9_21 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( p(nand(sF4,sF5))
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f331,plain,
! [X0,X1] : p(nand(nand(X0,sF6),nand(nand(X0,sF6),nand(nand(X1,sF5),nand(nand(X0,X1),nand(X0,X1)))))),
inference(resolution,[],[f94,f90]) ).
fof(f377,plain,
! [X0,X1] : p(nand(nand(X0,sF5),nand(nand(X0,sF5),nand(nand(X1,sF4),nand(nand(X0,X1),nand(X0,X1)))))),
inference(resolution,[],[f96,f90]) ).
fof(f405,plain,
! [X0,X1] : p(nand(nand(X0,nand(X1,sF2)),nand(nand(X0,nand(X1,sF2)),nand(sF3,nand(nand(X0,sK0),nand(X0,sK0)))))),
inference(resolution,[],[f98,f90]) ).
fof(f421,plain,
! [X0,X1] : p(nand(nand(X0,nand(X1,sK0)),nand(nand(X0,nand(X1,sK0)),nand(sF4,nand(nand(X0,sK0),nand(X0,sK0)))))),
inference(resolution,[],[f99,f90]) ).
fof(f630,plain,
! [X0] :
( p(nand(sF4,sF5))
| ~ p(nand(sF4,nand(sF4,X0))) ),
inference(resolution,[],[f117,f10]) ).
fof(f676,plain,
p(nand(sF3,nand(sF3,nand(nand(sK0,sK1),sF5)))),
inference(resolution,[],[f167,f90]) ).
fof(f678,plain,
p(nand(sF3,nand(sF3,sF3))),
inference(resolution,[],[f676,f90]) ).
fof(f692,plain,
p(nand(nand(sF6,sF7),nand(nand(sF6,sF7),nand(sF7,nand(sF7,sF7))))),
inference(resolution,[],[f246,f90]) ).
fof(f741,plain,
( p(nand(sF7,nand(sF7,sF7)))
| ~ p(nand(sF6,sF7)) ),
inference(resolution,[],[f692,f10]) ).
fof(f742,plain,
( p(nand(sF7,nand(sF7,sF7)))
| ~ spl9_19 ),
inference(forward_subsumption_resolution,[],[f741,f281]) ).
fof(f1187,plain,
! [X0,X1] :
( ~ p(nand(sF3,nand(X1,X0)))
| p(nand(nand(sF7,X0),nand(sF8,sF8))) ),
inference(resolution,[],[f205,f10]) ).
fof(f1222,plain,
! [X0] : p(nand(nand(X0,sF3),nand(nand(X0,sF3),nand(X0,sF3)))),
inference(resolution,[],[f253,f90]) ).
fof(f1430,plain,
! [X0,X1] :
( p(nand(nand(X0,sF5),nand(nand(X1,X0),nand(X1,X0))))
| ~ p(nand(X1,sF6)) ),
inference(resolution,[],[f331,f10]) ).
fof(f1489,plain,
! [X0] : p(nand(sF6,nand(sF6,nand(nand(X0,sF4),nand(nand(sF2,X0),nand(sF2,X0)))))),
inference(superposition,[],[f377,f21]) ).
fof(f1846,plain,
! [X0,X1] :
( ~ p(nand(X0,nand(X1,sF2)))
| p(nand(sF3,nand(nand(X0,sK0),nand(X0,sK0)))) ),
inference(resolution,[],[f405,f10]) ).
fof(f1855,plain,
! [X0,X1] :
( ~ p(nand(X0,nand(X1,sK0)))
| p(nand(sF4,nand(nand(X0,sK0),nand(X0,sK0)))) ),
inference(resolution,[],[f421,f10]) ).
fof(f1908,plain,
! [X2,X3,X0,X1] :
( ~ p(nand(X2,nand(X3,X1)))
| p(nand(nand(X0,X1),nand(nand(X2,X0),nand(X2,X0)))) ),
inference(resolution,[],[f122,f10]) ).
fof(f1974,plain,
! [X0,X1] :
( ~ p(nand(X1,sF5))
| p(nand(X0,X1))
| ~ p(nand(X0,sF6)) ),
inference(resolution,[],[f1430,f10]) ).
fof(f2020,plain,
p(nand(sF6,nand(sF6,nand(sF5,nand(nand(sF2,sF4),nand(sF2,sF4)))))),
inference(superposition,[],[f1489,f19]) ).
fof(f2089,plain,
! [X0] :
( p(nand(sF3,nand(nand(X0,sK0),nand(X0,sK0))))
| ~ p(nand(X0,sF6)) ),
inference(resolution,[],[f1846,f126]) ).
fof(f2103,plain,
! [X0] :
( p(nand(sF4,nand(nand(X0,sK0),nand(X0,sK0))))
| ~ p(nand(X0,sF3)) ),
inference(resolution,[],[f1855,f123]) ).
fof(f2204,plain,
( ! [X0] : ~ p(nand(sF4,nand(sF4,X0)))
| spl9_21 ),
inference(forward_subsumption_resolution,[],[f630,f289]) ).
fof(f2745,plain,
! [X0,X1] : p(nand(nand(X0,nand(X1,sF3)),nand(nand(nand(X1,sF3),X0),nand(nand(X1,sF3),X0)))),
inference(resolution,[],[f1908,f1222]) ).
fof(f2881,plain,
( ! [X0] : p(nand(nand(X0,sF7),nand(nand(sF7,X0),nand(sF7,X0))))
| ~ spl9_19 ),
inference(resolution,[],[f1908,f742]) ).
fof(f2937,plain,
( ! [X0] :
( ~ p(nand(X0,sF7))
| p(nand(sF7,X0)) )
| ~ spl9_19 ),
inference(resolution,[],[f2881,f10]) ).
fof(f2941,plain,
p(nand(sF6,nand(sF6,sF6))),
inference(resolution,[],[f2020,f90]) ).
fof(f2943,plain,
p(nand(sF6,sF7)),
inference(forward_demodulation,[],[f2941,f23]) ).
fof(f2944,plain,
( p(nand(sF7,sF6))
| ~ spl9_19 ),
inference(resolution,[],[f2937,f281]) ).
fof(f2962,plain,
! [X0] :
( p(nand(nand(sF7,nand(X0,sK0)),nand(sF8,sF8)))
| ~ p(nand(X0,sF6)) ),
inference(resolution,[],[f2089,f1187]) ).
fof(f2969,plain,
! [X0] :
( p(nand(sF4,nand(sF4,nand(X0,sK0))))
| ~ p(nand(X0,sF3)) ),
inference(resolution,[],[f2103,f90]) ).
fof(f2973,plain,
( ! [X0] : ~ p(nand(X0,sF3))
| spl9_21 ),
inference(forward_subsumption_resolution,[],[f2969,f2204]) ).
fof(f4985,plain,
! [X0,X1] :
( ~ p(nand(X1,nand(X0,sF3)))
| p(nand(nand(X0,sF3),X1)) ),
inference(resolution,[],[f2745,f10]) ).
fof(f9542,plain,
p(nand(nand(sF3,sF3),sF3)),
inference(resolution,[],[f4985,f678]) ).
fof(f9544,plain,
( $false
| spl9_21 ),
inference(forward_subsumption_resolution,[],[f9542,f2973]) ).
fof(f9545,plain,
spl9_21,
inference(avatar_contradiction_clause,[],[f9544]) ).
fof(f9737,plain,
( ! [X0] :
( ~ p(nand(X0,sF6))
| p(nand(X0,sF4)) )
| ~ spl9_21 ),
inference(resolution,[],[f290,f1974]) ).
fof(f16113,plain,
! [X0] :
( ~ p(nand(X0,sF6))
| p(sF8)
| ~ p(nand(sF7,nand(X0,sK0))) ),
inference(resolution,[],[f2962,f10]) ).
fof(f16127,plain,
! [X0] :
( ~ p(nand(sF7,nand(X0,sK0)))
| ~ p(nand(X0,sF6)) ),
inference(forward_subsumption_resolution,[],[f16113,f26]) ).
fof(f16128,plain,
( ~ p(nand(sF7,sF6))
| ~ p(nand(sF7,sF4)) ),
inference(resolution,[],[f16127,f124]) ).
fof(f16131,plain,
( ~ p(nand(sF7,sF6))
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f16128,f9737]) ).
fof(f16132,plain,
( $false
| ~ spl9_19
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f16131,f2944]) ).
fof(f16133,plain,
( ~ spl9_19
| ~ spl9_21 ),
inference(avatar_contradiction_clause,[],[f16132]) ).
fof(f16164,plain,
( $false
| spl9_19 ),
inference(forward_subsumption_resolution,[],[f2943,f280]) ).
fof(f16165,plain,
spl9_19,
inference(avatar_contradiction_clause,[],[f16164]) ).
cnf(s778,plain,
spl9_21,
inference(sat_conversion,[],[f9545]) ).
cnf(s1359,plain,
( ~ spl9_19
| ~ spl9_21 ),
inference(sat_conversion,[],[f16133]) ).
cnf(s1366,plain,
spl9_19,
inference(sat_conversion,[],[f16165]) ).
cnf(s1380,plain,
~ spl9_21,
inference(rat,[],[s1359,s1366]) ).
cnf(s1409,plain,
$false,
inference(rat,[],[s778,s1380]) ).
fof(f16217,plain,
$false,
inference(avatar_sat_refutation,[],[s1409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO109+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n018.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:13:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 7.48/1.38 % (3792647)Will run a generic schedule for satisfiability detection.
% 7.48/1.38 % (3792654)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2344344295:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.48/1.38 % (3792653)% WARNING: option uhcvi not known.
% 7.48/1.38 % (3792652)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1123996769_2999 on theBenchmark for (2999ds/0Mi)
% 7.48/1.38 % (3792653)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3187802029:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.48/1.38 % (3792655)dis+10_1_sil=32000:sp=arity:random_seed=392549934:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.48/1.38 % (3792656)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1504169622:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.48/1.38 % TRYING [1]
% 7.48/1.38 % TRYING [2]
% 7.48/1.38 % TRYING [3]
% 7.48/1.38 % (3792657)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1082728450:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.48/1.38 % (3792658)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3904671108:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.48/1.38 % TRYING [4]
% 7.48/1.38 % (3792655)Instruction limit reached!
% 7.48/1.38 % (3792655)------------------------------
% 7.48/1.38 % (3792655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792655)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792655)Termination reason: Instruction limit
% 7.48/1.38 % (3792655)Termination phase: Saturation
% 7.48/1.38 % (3792655)Time elapsed: 0.073 s
% 7.48/1.38 % (3792655)Peak memory usage: 12 MB
% 7.48/1.38 % (3792655)Instructions burned: 103 (million)
% 7.48/1.38 % (3792656)Instruction limit reached!
% 7.48/1.38 % (3792656)------------------------------
% 7.48/1.38 % (3792656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792656)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792656)Termination reason: Instruction limit
% 7.48/1.38 % (3792656)Termination phase: Saturation
% 7.48/1.38 % (3792656)Time elapsed: 0.081 s
% 7.48/1.38 % (3792656)Peak memory usage: 12 MB
% 7.48/1.38 % (3792656)Instructions burned: 116 (million)
% 7.48/1.38 % (3792674)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2869124920:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.48/1.38 % TRYING [1]
% 7.48/1.38 % TRYING [2]
% 7.48/1.38 % TRYING [3]
% 7.48/1.38 % (3792657)Instruction limit reached!
% 7.48/1.38 % (3792657)------------------------------
% 7.48/1.38 % (3792657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792657)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792657)Termination reason: Instruction limit
% 7.48/1.38 % (3792657)Termination phase: Saturation
% 7.48/1.38 % (3792657)Time elapsed: 0.106 s
% 7.48/1.38 % (3792657)Peak memory usage: 13 MB
% 7.48/1.38 % (3792657)Instructions burned: 131 (million)
% 7.48/1.38 % (3792675)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=895160561:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.48/1.38 % TRYING [4]
% 7.48/1.38 % (3792677)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=1377369965:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.48/1.38 % (3792658)Instruction limit reached!
% 7.48/1.38 % (3792658)------------------------------
% 7.48/1.38 % (3792658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792658)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792658)Termination reason: Instruction limit
% 7.48/1.38 % (3792658)Termination phase: Saturation
% 7.48/1.38 % (3792658)Time elapsed: 0.178 s
% 7.48/1.38 % (3792658)Peak memory usage: 12 MB
% 7.48/1.38 % (3792658)Instructions burned: 160 (million)
% 7.48/1.38 % (3792680)ott-21_1_sil=16000:fs=off:random_seed=3142360674:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 7.48/1.38 % (3792675)Instruction limit reached!
% 7.48/1.38 % (3792675)------------------------------
% 7.48/1.38 % (3792675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792675)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792675)Termination reason: Instruction limit
% 7.48/1.38 % (3792675)Termination phase: Saturation
% 7.48/1.38 % (3792675)Time elapsed: 0.114 s
% 7.48/1.38 % (3792675)Peak memory usage: 12 MB
% 7.48/1.38 % (3792675)Instructions burned: 131 (million)
% 7.48/1.38 % (3792683)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4163735270:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.48/1.38 % (3792680)Instruction limit reached!
% 7.48/1.38 % (3792680)------------------------------
% 7.48/1.38 % (3792680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792680)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792680)Termination reason: Instruction limit
% 7.48/1.38 % (3792680)Termination phase: Saturation
% 7.48/1.38 % (3792680)Time elapsed: 0.150 s
% 7.48/1.38 % (3792680)Peak memory usage: 13 MB
% 7.48/1.38 % (3792680)Instructions burned: 181 (million)
% 7.48/1.38 % (3792691)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1683629427:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 7.48/1.38 % TRYING [1]
% 7.48/1.38 % TRYING [2]
% 7.48/1.38 % TRYING [3]
% 7.48/1.38 % TRYING [4]
% 7.48/1.38 % (3792674)Instruction limit reached!
% 7.48/1.38 % (3792674)------------------------------
% 7.48/1.38 % (3792674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792674)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792674)Termination reason: Instruction limit
% 7.48/1.38 % (3792674)Termination phase: Finite model building SAT solving
% 7.48/1.38 % (3792674)Time elapsed: 0.531 s
% 7.48/1.38 % (3792674)Peak memory usage: 16 MB
% 7.48/1.38 % (3792674)Instructions burned: 714 (million)
% 7.48/1.38 % (3792696)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4044756061:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 7.48/1.38 % (3792683)Instruction limit reached!
% 7.48/1.38 % (3792683)------------------------------
% 7.48/1.38 % (3792683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792683)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792683)Termination reason: Instruction limit
% 7.48/1.38 % (3792683)Termination phase: Saturation
% 7.48/1.38 % (3792683)Time elapsed: 0.473 s
% 7.48/1.38 % (3792683)Peak memory usage: 14 MB
% 7.48/1.38 % (3792683)Instructions burned: 478 (million)
% 7.48/1.38 % (3792677)Instruction limit reached!
% 7.48/1.38 % (3792677)------------------------------
% 7.48/1.38 % (3792677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792677)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792677)Termination reason: Instruction limit
% 7.48/1.38 % (3792677)Termination phase: Saturation
% 7.48/1.38 % (3792677)Time elapsed: 0.620 s
% 7.48/1.38 % (3792677)Peak memory usage: 18 MB
% 7.48/1.38 % (3792677)Instructions burned: 684 (million)
% 7.48/1.38 % (3792701)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1869081564:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.48/1.38 % (3792703)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=3349106525:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 7.48/1.38 % TRYING [5]
% 7.48/1.38 % TRYING [5]
% 7.48/1.38 % (3792696) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3792647-3792696"...
% 7.48/1.38 % (3792696)...printing done.
% 7.48/1.38 % (3792696)Refutation found. Thanks to Tanya!
% 7.48/1.38 % SZS status Theorem for theBenchmark
% 7.48/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 7.48/1.38 % (3792696)------------------------------
% 7.48/1.38 % (3792696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.38 % (3792696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.38 % (3792696)CaDiCaL version: 2.1.3
% 7.48/1.38 % (3792696)Termination reason: Refutation
% 7.48/1.38 % (3792696)Time elapsed: 0.435 s
% 7.48/1.38 % (3792696)Peak memory usage: 20 MB
% 7.48/1.38 % (3792696)Instructions burned: 623 (million)
% 7.48/1.38 % (3792647)Success in time 1.141 s
% 7.48/1.38 % Vampire exiting
%------------------------------------------------------------------------------