%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PHI013+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 : n007.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 0.36s 1.04s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 114 ( 23 unt; 10 def)
% Number of atoms : 373 ( 12 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 447 ( 188 ~; 185 |; 48 &)
% ( 12 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 94 ( 0 sgn 78 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( property(X0)
=> ( ? [X1] :
( object(X1)
& is_the(X1,X0) )
=> ! [X2] :
( object(X2)
=> ( is_the(X2,X0)
=> exemplifies_property(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
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(f4,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(f5,axiom,
? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f6,axiom,
( ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X1 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(f7,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(f8,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f9,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f10,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
( ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X1 = X2 ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f12,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f10]) ).
fof(f15,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ~ property(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0) )
| ~ property(X0) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( property(X1)
& object(X0) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f18,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,[],[f4]) ).
fof(f19,plain,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( X1 = X2
| ~ exemplifies_property(none_greater,X2)
| ~ object(X2) ) )
| ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f20,plain,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( X1 = X2
| ~ exemplifies_property(none_greater,X2)
| ~ object(X2) ) )
| ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ) ),
inference(flattening,[],[f19]) ).
fof(f21,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,[],[f7]) ).
fof(f22,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,[],[f21]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ object(X2)
| ~ is_the(X2,X0) )
| ~ property(X0) ),
inference(rectify,[],[f16]) ).
fof(f26,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,[],[f18]) ).
fof(f27,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,[],[f26]) ).
fof(f28,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,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( object(sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& exemplifies_property(conceivable,sK2(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,[sK2]),skolemize(X1,sK2(X0))],[f28]) ).
fof(f30,plain,
( object(sK3)
& exemplifies_property(none_greater,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f5]) ).
fof(f31,plain,
( ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( X0 = X1
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ) )
| ! [X2] :
( ~ object(X2)
| ~ exemplifies_property(none_greater,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f32,plain,
( ( object(sK4)
& exemplifies_property(none_greater,sK4)
& ! [X1] :
( sK4 = X1
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ) )
| ! [X2] :
( ~ object(X2)
| ~ exemplifies_property(none_greater,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f31]) ).
fof(f33,plain,
! [X0] :
( ( object(sK5(X0))
& exemplifies_relation(greater_than,sK5(X0),X0)
& exemplifies_property(conceivable,sK5(X0)) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f22]) ).
fof(f40,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X2)
| ~ is_the(X2,X0)
| ~ property(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X2,X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ object(X2)
| ~ object(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
exemplifies_property(none_greater,sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f49,plain,
object(sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f50,plain,
! [X2,X1] :
( sK4 = X1
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| ~ object(X2)
| ~ exemplifies_property(none_greater,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
! [X2] :
( exemplifies_property(none_greater,sK4)
| ~ object(X2)
| ~ exemplifies_property(none_greater,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
! [X2] :
( object(sK4)
| ~ object(X2)
| ~ exemplifies_property(none_greater,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f53,plain,
! [X0] :
( exemplifies_property(conceivable,sK5(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X0] :
( exemplifies_relation(greater_than,sK5(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X0] :
( object(sK5(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f8]) ).
fof(f57,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f12]) ).
fof(f59,definition,
( spl6_1
<=> ! [X2] :
( ~ object(X2)
| ~ exemplifies_property(none_greater,X2) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f60,plain,
( ! [X2] :
( ~ exemplifies_property(none_greater,X2)
| ~ object(X2) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,definition,
( spl6_2
<=> ! [X1] :
( sK4 = X1
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f63,plain,
( ! [X1] :
( ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| sK4 = X1 )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f50,f62,f59]) ).
fof(f66,definition,
( spl6_3
<=> exemplifies_property(none_greater,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f68,plain,
( exemplifies_property(none_greater,sK4)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f51,f66,f59]) ).
fof(f71,definition,
( spl6_4
<=> object(sK4) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f73,plain,
( object(sK4)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl6_1
| spl6_4 ),
inference(avatar_split_clause,[],[f52,f71,f59]) ).
fof(f80,plain,
! [X0] :
( object(sK5(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f55,f41]) ).
fof(f81,plain,
! [X0] :
( exemplifies_property(conceivable,sK5(X0))
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f53,f41]) ).
fof(f82,plain,
! [X0] :
( exemplifies_relation(greater_than,sK5(X0),X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[],[f54,f41]) ).
fof(f84,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,X0,sK4)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ object(sK4) )
| ~ spl6_3 ),
inference(resolution,[],[f43,f68]) ).
fof(f85,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,X0,sK4)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0) )
| ~ spl6_3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f84,f73]) ).
fof(f89,plain,
( ~ exemplifies_property(conceivable,sK5(sK4))
| ~ object(sK5(sK4))
| ~ is_the(sK4,none_greater)
| exemplifies_property(existence,sK4)
| ~ spl6_3
| ~ spl6_4 ),
inference(resolution,[],[f85,f82]) ).
fof(f90,plain,
( ~ object(sK5(sK4))
| ~ is_the(sK4,none_greater)
| exemplifies_property(existence,sK4)
| ~ spl6_3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f89,f81]) ).
fof(f91,plain,
( ~ is_the(sK4,none_greater)
| exemplifies_property(existence,sK4)
| ~ spl6_3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f90,f80]) ).
fof(f93,definition,
( spl6_5
<=> exemplifies_property(existence,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f97,definition,
( spl6_6
<=> is_the(sK4,none_greater) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f99,plain,
( ~ is_the(sK4,none_greater)
| spl6_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl6_5
| ~ spl6_6
| ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f91,f71,f66,f97,f93]) ).
fof(f101,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ object(X2)
| ~ is_the(X2,X0) ),
inference(forward_subsumption_resolution,[],[f40,f42]) ).
fof(f102,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X2)
| ~ is_the(X2,X0) ),
inference(forward_subsumption_resolution,[],[f101,f41]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ is_the(X1,X0)
| exemplifies_property(X0,X1)
| ~ is_the(X2,X0) ),
inference(forward_subsumption_resolution,[],[f102,f41]) ).
fof(f104,plain,
! [X0] :
( exemplifies_property(none_greater,god)
| ~ is_the(X0,none_greater) ),
inference(resolution,[],[f103,f56]) ).
fof(f107,definition,
( spl6_7
<=> ! [X0] : ~ is_the(X0,none_greater) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f108,plain,
( ! [X0] : ~ is_the(X0,none_greater)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,definition,
( spl6_8
<=> exemplifies_property(none_greater,god) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f112,plain,
( exemplifies_property(none_greater,god)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f104,f110,f107]) ).
fof(f114,plain,
( $false
| ~ spl6_7 ),
inference(resolution,[],[f108,f56]) ).
fof(f115,plain,
~ spl6_7,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f119,plain,
( ~ object(god)
| god = sK4
| ~ spl6_2
| ~ spl6_8 ),
inference(resolution,[],[f112,f63]) ).
fof(f121,definition,
( spl6_9
<=> god = sK4 ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f123,plain,
( god = sK4
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl6_10
<=> object(god) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f127,plain,
( ~ object(god)
| spl6_10 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl6_9
| ~ spl6_10
| ~ spl6_2
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f119,f110,f62,f125,f121]) ).
fof(f133,plain,
( ! [X0] : ~ is_the(god,X0)
| spl6_10 ),
inference(resolution,[],[f127,f41]) ).
fof(f136,plain,
( $false
| spl6_10 ),
inference(resolution,[],[f133,f56]) ).
fof(f137,plain,
spl6_10,
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f158,plain,
( is_the(sK4,none_greater)
| ~ spl6_9 ),
inference(superposition,[],[f56,f123]) ).
fof(f159,plain,
( ~ exemplifies_property(existence,sK4)
| ~ spl6_9 ),
inference(superposition,[],[f57,f123]) ).
fof(f160,plain,
( ~ spl6_5
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f159,f121,f93]) ).
fof(f161,plain,
( $false
| spl6_6
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f158,f99]) ).
fof(f162,plain,
( spl6_6
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f163,plain,
( ~ object(sK3)
| ~ spl6_1 ),
inference(resolution,[],[f60,f48]) ).
fof(f171,plain,
( $false
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f163,f49]) ).
fof(f172,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f171]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f64]) ).
cnf(s2,plain,
( spl6_1
| spl6_3 ),
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
( spl6_1
| spl6_4 ),
inference(sat_conversion,[],[f74]) ).
cnf(s4,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f100]) ).
cnf(s5,plain,
( spl6_7
| spl6_8 ),
inference(sat_conversion,[],[f113]) ).
cnf(s6,plain,
~ spl6_7,
inference(sat_conversion,[],[f115]) ).
cnf(s7,plain,
( ~ spl6_2
| ~ spl6_8
| spl6_9
| ~ spl6_10 ),
inference(sat_conversion,[],[f128]) ).
cnf(s9,plain,
spl6_10,
inference(sat_conversion,[],[f137]) ).
cnf(s12,plain,
( ~ spl6_5
| ~ spl6_9 ),
inference(sat_conversion,[],[f160]) ).
cnf(s13,plain,
( spl6_6
| ~ spl6_9 ),
inference(sat_conversion,[],[f162]) ).
cnf(s16,plain,
~ spl6_1,
inference(sat_conversion,[],[f172]) ).
cnf(s18,plain,
( ~ spl6_2
| ~ spl6_8
| spl6_9 ),
inference(rat,[],[s7,s9]) ).
cnf(s19,plain,
spl6_8,
inference(rat,[],[s5,s6]) ).
cnf(s21,plain,
spl6_4,
inference(rat,[],[s3,s16]) ).
cnf(s22,plain,
spl6_3,
inference(rat,[],[s2,s16]) ).
cnf(s23,plain,
spl6_2,
inference(rat,[],[s1,s16]) ).
cnf(s24,plain,
spl6_9,
inference(rat,[],[s18,s19,s23]) ).
cnf(s25,plain,
spl6_6,
inference(rat,[],[s13,s24]) ).
cnf(s26,plain,
~ spl6_5,
inference(rat,[],[s12,s24]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s4,s22,s21,s25,s26]) ).
fof(f173,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:05:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.36/1.04 % (1824152)Detected formulas, will run a generic FOF schedule.
% 0.36/1.04 % (1824175)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=3352246614:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.36/1.04 % (1824180)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=42458745:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.36/1.04 % (1824181)dis-21_1_sil=8000:lcm=predicate:random_seed=2153943426: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)
% 0.36/1.04 % (1824176)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=1588104696:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.36/1.04 % (1824178)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3554804161:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.36/1.04 % (1824177)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=495738867:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.36/1.04 % (1824179)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3751166825:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.36/1.04 % (1824178)Refutation not found, incomplete strategy
% 0.36/1.04 % (1824178)------------------------------
% 0.36/1.04 % (1824178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/1.04 % (1824178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/1.04 % (1824178)CaDiCaL version: 2.1.3
% 0.36/1.04 % (1824178)Termination reason: Refutation not found, incomplete strategy
% 0.36/1.04 % (1824178)Time elapsed: 0.001 s
% 0.36/1.04 % (1824178)Peak memory usage: 87 MB
% 0.36/1.04 % (1824179)Refutation not found, incomplete strategy
% 0.36/1.04 % (1824179)------------------------------
% 0.36/1.04 % (1824179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/1.04 % (1824179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/1.04 % (1824179)CaDiCaL version: 2.1.3
% 0.36/1.04 % (1824179)Termination reason: Refutation not found, incomplete strategy
% 0.36/1.04 % (1824179)Time elapsed: 0.001 s
% 0.36/1.04 % (1824179)Peak memory usage: 88 MB
% 0.36/1.04 % (1824179)Instructions burned: 1 (million)
% 0.36/1.04 % (1824180)First to succeed.
% 0.36/1.04 % (1824181)Also succeeded, but the first one will report.
% 0.36/1.04 % (1824180)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1824152"
% 0.36/1.04 % (1824179)------------------------------
% 0.36/1.04 % (1824179)------------------------------
% 0.36/1.04 % (1824178)------------------------------
% 0.36/1.04 % (1824178)------------------------------
% 0.36/1.04 % (1824180)Refutation found. Thanks to Tanya!
% 0.36/1.04 % SZS status Theorem for theBenchmark
% 0.36/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.24 % (1824180)------------------------------
% 3.36/1.24 % (1824180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.24 % (1824180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.24 % (1824180)CaDiCaL version: 2.1.3
% 3.36/1.24 % (1824180)Termination reason: Refutation
% 3.36/1.24 % (1824180)Time elapsed: 0.006 s
% 3.36/1.24 % (1824180)Peak memory usage: 89 MB
% 3.36/1.24 % (1824180)Instructions burned: 6 (million)
% 3.36/1.24 % (1824180)------------------------------
% 3.36/1.24 % (1824180)------------------------------
% 3.36/1.24 % (1824152)Success in time 0.419 s
% 3.36/1.24 % Vampire exiting
%------------------------------------------------------------------------------