%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:27:20 PM UTC 2026
% Result : Theorem 2.76s 1.25s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 110 ( 19 unt; 9 def)
% Number of atoms : 383 ( 25 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 471 ( 198 ~; 192 |; 59 &)
% ( 14 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 108 ( 0 sgn 96 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( exemplifies_property(X1,X0)
=> ( property(X1)
& object(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(f3,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( property(X1)
& object(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( property(X0)
& object(X1)
& object(X2) )
=> ( ( is_the(X1,X0)
& X1 = X2 )
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X0,X4)
=> X4 = X3 ) )
& X3 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
fof(f7,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ~ ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f8,axiom,
? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f9,axiom,
! [X0] :
( object(X0)
=> ( ( is_the(X0,none_greater)
& ~ exemplifies_property(existence,X0) )
=> ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f10,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f11,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f12,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( ( property(X1)
& object(X0) )
| ~ exemplifies_property(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1] :
( ( property(X1)
& object(X0) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( ( is_the(X1,X0)
& X1 = X2 )
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( X4 = X3
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& X3 = X2 ) )
| ~ property(X0)
| ~ object(X1)
| ~ object(X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ( is_the(X1,X0)
& X1 = X2 )
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( X4 = X3
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& X3 = X2 ) )
| ~ property(X0)
| ~ object(X1)
| ~ object(X2) ),
inference(flattening,[],[f19]) ).
fof(f23,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(flattening,[],[f24]) ).
fof(f29,definition,
! [X0,X2] :
( sP2(X0,X2)
<=> ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& ! [X4] :
( X4 = X3
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& X3 = X2 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X2,X0,X1] :
( ( ( is_the(X1,X0)
& X1 = X2 )
<=> sP2(X0,X2) )
| ~ sP3(X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f31,plain,
! [X0,X1,X2] :
( sP3(X2,X0,X1)
| ~ property(X0)
| ~ object(X1)
| ~ object(X2) ),
inference(definition_folding,[],[f20,f30,f29]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ( ( ( is_the(X1,X0)
& X1 = X2 )
| ~ sP2(X0,X2) )
& ( sP2(X0,X2)
| ~ is_the(X1,X0)
| X1 != X2 ) )
| ~ sP3(X2,X0,X1) ),
inference(nnf_transformation,[],[f30]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ( ( ( is_the(X1,X0)
& X1 = X2 )
| ~ sP2(X0,X2) )
& ( sP2(X0,X2)
| ~ is_the(X1,X0)
| X1 != X2 ) )
| ~ sP3(X2,X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ( ( is_the(X2,X1)
& X0 = X2 )
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ is_the(X2,X1)
| X0 != X2 ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f44,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( object(sK8(X0))
& exemplifies_relation(greater_than,sK8(X0),X0)
& exemplifies_property(conceivable,sK8(X0)) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f46]) ).
fof(f48,plain,
( object(sK9)
& exemplifies_property(none_greater,sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f8]) ).
fof(f49,plain,
! [X0] :
( ( object(sK10(X0))
& exemplifies_relation(greater_than,sK10(X0),X0)
& exemplifies_property(conceivable,sK10(X0)) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f25]) ).
fof(f51,plain,
! [X0,X1] :
( object(X0)
| ~ exemplifies_property(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f52,plain,
! [X0,X1] :
( property(X1)
| ~ exemplifies_property(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f53,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f66,plain,
! [X2,X0,X1] :
( sP2(X1,X0)
| ~ is_the(X2,X1)
| X0 != X2
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ sP2(X1,X0)
| X0 = X2
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ sP2(X1,X0)
| is_the(X2,X1)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f76,plain,
! [X2,X0,X1] :
( sP3(X2,X0,X1)
| ~ property(X0)
| ~ object(X1)
| ~ object(X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
! [X2,X0] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f83,plain,
exemplifies_property(none_greater,sK9),
inference(cnf_transformation,[],[f48]) ).
fof(f84,plain,
object(sK9),
inference(cnf_transformation,[],[f48]) ).
fof(f85,plain,
! [X0] :
( exemplifies_property(conceivable,sK10(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f86,plain,
! [X0] :
( exemplifies_relation(greater_than,sK10(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f88,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f10]) ).
fof(f89,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f13]) ).
fof(f90,plain,
! [X2,X1] :
( ~ is_the(X2,X1)
| sP2(X1,X2)
| ~ sP3(X2,X1,X2) ),
inference(equality_resolution,[],[f66]) ).
fof(f100,definition,
( spl11_1
<=> ! [X0] : ~ exemplifies_property(none_greater,X0) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f101,plain,
( ! [X0] : ~ exemplifies_property(none_greater,X0)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f118,plain,
! [X0] :
( exemplifies_property(conceivable,sK10(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f85,f53]) ).
fof(f121,plain,
! [X0] :
( exemplifies_relation(greater_than,sK10(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f86,f53]) ).
fof(f122,plain,
! [X2,X0] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(forward_subsumption_resolution,[],[f78,f51]) ).
fof(f123,plain,
! [X2,X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0) ),
inference(forward_subsumption_resolution,[],[f122,f51]) ).
fof(f124,plain,
! [X0] :
( ~ exemplifies_relation(greater_than,X0,sK9)
| ~ exemplifies_property(conceivable,X0) ),
inference(resolution,[],[f123,f83]) ).
fof(f126,plain,
( ~ exemplifies_property(conceivable,sK10(sK9))
| ~ is_the(sK9,none_greater)
| exemplifies_property(existence,sK9) ),
inference(resolution,[],[f124,f121]) ).
fof(f127,plain,
( ~ is_the(sK9,none_greater)
| exemplifies_property(existence,sK9) ),
inference(forward_subsumption_resolution,[],[f126,f118]) ).
fof(f129,definition,
( spl11_3
<=> exemplifies_property(existence,sK9) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f131,plain,
( exemplifies_property(existence,sK9)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,definition,
( spl11_4
<=> is_the(sK9,none_greater) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f135,plain,
( ~ is_the(sK9,none_greater)
| spl11_4 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl11_3
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f127,f133,f129]) ).
fof(f142,plain,
( sP2(none_greater,god)
| ~ sP3(god,none_greater,god) ),
inference(resolution,[],[f90,f88]) ).
fof(f144,definition,
( spl11_5
<=> sP3(god,none_greater,god) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f146,plain,
( ~ sP3(god,none_greater,god)
| spl11_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl11_6
<=> sP2(none_greater,god) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f150,plain,
( sP2(none_greater,god)
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( ~ spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f142,f148,f144]) ).
fof(f152,plain,
( ~ property(none_greater)
| ~ object(god)
| ~ object(god)
| spl11_5 ),
inference(resolution,[],[f146,f76]) ).
fof(f153,plain,
( ~ property(none_greater)
| ~ object(god)
| spl11_5 ),
inference(duplicate_literal_removal,[],[f152]) ).
fof(f155,definition,
( spl11_7
<=> object(god) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f156,plain,
( object(god)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( ~ object(god)
| spl11_7 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl11_8
<=> property(none_greater) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f160,plain,
( property(none_greater)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ property(none_greater)
| spl11_8 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( ~ spl11_7
| ~ spl11_8
| spl11_5 ),
inference(avatar_split_clause,[],[f153,f144,f159,f155]) ).
fof(f164,plain,
( ! [X0] : ~ is_the(god,X0)
| spl11_7 ),
inference(resolution,[],[f157,f53]) ).
fof(f166,plain,
( $false
| spl11_7 ),
inference(resolution,[],[f164,f88]) ).
fof(f167,plain,
spl11_7,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f171,plain,
( ! [X0] : ~ exemplifies_property(none_greater,X0)
| spl11_8 ),
inference(resolution,[],[f161,f52]) ).
fof(f172,plain,
( spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f171,f159,f100]) ).
fof(f175,plain,
( ! [X0] :
( ~ sP3(god,none_greater,X0)
| is_the(X0,none_greater) )
| ~ spl11_6 ),
inference(resolution,[],[f150,f68]) ).
fof(f176,plain,
( ! [X0] :
( ~ sP3(god,none_greater,X0)
| god = X0 )
| ~ spl11_6 ),
inference(resolution,[],[f150,f67]) ).
fof(f191,plain,
( ! [X0] :
( is_the(X0,none_greater)
| ~ property(none_greater)
| ~ object(X0)
| ~ object(god) )
| ~ spl11_6 ),
inference(resolution,[],[f175,f76]) ).
fof(f192,plain,
( ! [X0] :
( is_the(X0,none_greater)
| ~ object(X0)
| ~ object(god) )
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f191,f160]) ).
fof(f193,plain,
( ! [X0] :
( is_the(X0,none_greater)
| ~ object(X0) )
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f192,f156]) ).
fof(f195,plain,
( ~ object(sK9)
| spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(resolution,[],[f193,f135]) ).
fof(f202,plain,
( $false
| spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f195,f84]) ).
fof(f203,plain,
( spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f209,plain,
( $false
| ~ spl11_1 ),
inference(resolution,[],[f101,f83]) ).
fof(f215,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f314,plain,
( ! [X0] :
( god = X0
| ~ property(none_greater)
| ~ object(X0)
| ~ object(god) )
| ~ spl11_6 ),
inference(resolution,[],[f176,f76]) ).
fof(f315,plain,
( ! [X0] :
( god = X0
| ~ object(X0)
| ~ object(god) )
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f314,f160]) ).
fof(f316,plain,
( ! [X0] :
( ~ object(X0)
| god = X0 )
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f315,f156]) ).
fof(f336,plain,
( god = sK9
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(resolution,[],[f316,f84]) ).
fof(f342,plain,
( exemplifies_property(existence,god)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(superposition,[],[f131,f336]) ).
fof(f354,plain,
( $false
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f342,f89]) ).
fof(f355,plain,
( ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_contradiction_clause,[],[f354]) ).
cnf(s2,plain,
( spl11_3
| ~ spl11_4 ),
inference(sat_conversion,[],[f136]) ).
cnf(s3,plain,
( ~ spl11_5
| spl11_6 ),
inference(sat_conversion,[],[f151]) ).
cnf(s4,plain,
( spl11_5
| ~ spl11_7
| ~ spl11_8 ),
inference(sat_conversion,[],[f162]) ).
cnf(s5,plain,
spl11_7,
inference(sat_conversion,[],[f167]) ).
cnf(s6,plain,
( spl11_1
| spl11_8 ),
inference(sat_conversion,[],[f172]) ).
cnf(s7,plain,
( spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(sat_conversion,[],[f203]) ).
cnf(s11,plain,
~ spl11_1,
inference(sat_conversion,[],[f215]) ).
cnf(s17,plain,
( ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8 ),
inference(sat_conversion,[],[f355]) ).
cnf(s20,plain,
spl11_8,
inference(rat,[],[s6,s11]) ).
cnf(s22,plain,
spl11_5,
inference(rat,[],[s4,s20,s5]) ).
cnf(s23,plain,
spl11_6,
inference(rat,[],[s3,s22]) ).
cnf(s24,plain,
~ spl11_3,
inference(rat,[],[s17,s20,s5,s23]) ).
cnf(s26,plain,
spl11_4,
inference(rat,[],[s7,s20,s5,s23]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s2,s26,s24]) ).
fof(f356,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:06:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.76/1.25 % (3927631)Detected formulas, will run a generic FOF schedule.
% 2.76/1.25 % (3927640)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=536272623:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.76/1.25 % (3927640)Refutation not found, incomplete strategy
% 2.76/1.25 % (3927640)------------------------------
% 2.76/1.25 % (3927640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.25 % (3927640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.25 % (3927640)CaDiCaL version: 2.1.3
% 2.76/1.25 % (3927640)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.25 % (3927640)Time elapsed: 0.0000 s
% 2.76/1.25 % (3927640)Peak memory usage: 87 MB
% 2.76/1.25 % (3927637)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=38842741:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.76/1.25 % (3927643)dis-21_1_sil=8000:lcm=predicate:random_seed=4091404565: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)
% 2.76/1.25 % (3927639)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=1929330330:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.76/1.25 % (3927642)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1359723150:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.76/1.25 % (3927638)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=1064409452:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.76/1.25 % (3927641)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1142148234:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.76/1.25 % (3927641)Also succeeded, but the first one will report.
% 2.76/1.25 % (3927642)First to succeed.
% 2.76/1.25 % (3927642)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3927631"
% 2.76/1.25 % (3927643)Instruction limit reached!
% 2.76/1.25 % (3927643)------------------------------
% 2.76/1.25 % (3927643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.25 % (3927643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.25 % (3927643)CaDiCaL version: 2.1.3
% 2.76/1.25 % (3927643)Termination reason: Instruction limit
% 2.76/1.25 % (3927643)Termination phase: Saturation
% 2.76/1.25 % (3927643)Time elapsed: 0.078 s
% 2.76/1.25 % (3927643)Peak memory usage: 89 MB
% 2.76/1.25 % (3927643)Instructions burned: 130 (million)
% 2.76/1.25 % (3927640)------------------------------
% 2.76/1.25 % (3927640)------------------------------
% 2.76/1.25 % (3927651)lrs+10_1_sil=8000:sp=occurrence:random_seed=1449795304:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.76/1.25 % (3927651)Also succeeded, but the first one will report.
% 2.76/1.25 % (3927652)lrs+10_1_sil=32000:urr=on:br=off:random_seed=757268670:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.76/1.25 % (3927652)Refutation not found, incomplete strategy
% 2.76/1.25 % (3927652)------------------------------
% 2.76/1.25 % (3927652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.25 % (3927652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.25 % (3927652)CaDiCaL version: 2.1.3
% 2.76/1.25 % (3927652)Termination reason: Refutation not found, incomplete strategy
% 2.76/1.25 % (3927652)Time elapsed: 0.002 s
% 2.76/1.25 % (3927652)Peak memory usage: 88 MB
% 2.76/1.25 % (3927652)Instructions burned: 3 (million)
% 2.76/1.25 % (3927642)Refutation found. Thanks to Tanya!
% 2.76/1.25 % SZS status Theorem for theBenchmark
% 2.76/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.34 % (3927642)------------------------------
% 3.41/1.34 % (3927642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.34 % (3927642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.34 % (3927642)CaDiCaL version: 2.1.3
% 3.41/1.34 % (3927642)Termination reason: Refutation
% 3.41/1.34 % (3927642)Time elapsed: 0.011 s
% 3.41/1.34 % (3927642)Peak memory usage: 90 MB
% 3.41/1.34 % (3927642)Instructions burned: 12 (million)
% 3.41/1.34 % (3927642)------------------------------
% 3.41/1.34 % (3927642)------------------------------
% 3.41/1.34 % (3927631)Success in time 0.41 s
% 3.41/1.34 % Vampire exiting
%------------------------------------------------------------------------------