TSTP Solution File: PHI015+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:45:27 EDT 2024
% Result : Theorem 0.14s 0.33s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 27
% Syntax : Number of formulae : 137 ( 15 unt; 0 def)
% Number of atoms : 514 ( 52 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 600 ( 223 ~; 226 |; 111 &)
% ( 21 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 181 ( 157 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f356,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f137,f140,f189,f192,f207,f210,f282,f355]) ).
fof(f355,plain,
( ~ spl13_5
| ~ spl13_8 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| ~ spl13_5
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f353,f206]) ).
fof(f206,plain,
( sP0(god)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl13_8
<=> sP0(god) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f353,plain,
( ~ sP0(god)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f352,f289]) ).
fof(f289,plain,
( exemplifies_property(conceivable,god)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f288,f66]) ).
fof(f66,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f288,plain,
( exemplifies_property(conceivable,god)
| ~ is_the(god,none_greater)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f287,f65]) ).
fof(f65,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f12]) ).
fof(f12,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f287,plain,
( exemplifies_property(conceivable,god)
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater)
| ~ spl13_5 ),
inference(superposition,[],[f264,f219]) ).
fof(f219,plain,
( god = sK6(god)
| ~ spl13_5 ),
inference(resolution,[],[f217,f213]) ).
fof(f213,plain,
object(sK6(god)),
inference(subsumption_resolution,[],[f212,f65]) ).
fof(f212,plain,
( exemplifies_property(existence,god)
| object(sK6(god)) ),
inference(resolution,[],[f193,f66]) ).
fof(f193,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| object(sK6(X0)) ),
inference(subsumption_resolution,[],[f68,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f68,plain,
! [X0] :
( object(sK6(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( exemplifies_property(conceivable,sK6(X0))
& exemplifies_relation(greater_than,sK6(X0),X0)
& object(sK6(X0)) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f21,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK6(X0))
& exemplifies_relation(greater_than,sK6(X0),X0)
& object(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( object(X0)
=> ( ( ~ exemplifies_property(existence,X0)
& is_the(X0,none_greater) )
=> ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( object(X0)
=> ( ( ~ exemplifies_property(existence,X0)
& is_the(X0,none_greater) )
=> ? [X3] :
( exemplifies_property(conceivable,X3)
& exemplifies_relation(greater_than,X3,X0)
& object(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f217,plain,
( ! [X0] :
( ~ object(X0)
| god = X0 )
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f215,f114]) ).
fof(f114,plain,
object(god),
inference(resolution,[],[f80,f66]) ).
fof(f215,plain,
( ! [X0] :
( ~ object(X0)
| ~ object(god)
| god = X0 )
| ~ spl13_5 ),
inference(resolution,[],[f170,f183]) ).
fof(f183,plain,
( sP4(god,none_greater)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl13_5
<=> sP4(god,none_greater) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X2)
| ~ object(X1)
| ~ object(X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f168,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| property(X1) ),
inference(resolution,[],[f99,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ exemplifies_property(X1,X0)
| property(X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ exemplifies_property(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( exemplifies_property(X1,X0)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(f99,plain,
! [X0,X1] :
( exemplifies_property(X1,sK11(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ! [X2] :
( X0 != X2
| ( sK10(X1,X2) != X2
& exemplifies_property(X1,sK10(X1,X2))
& object(sK10(X1,X2)) )
| ~ exemplifies_property(X1,X2)
| ~ object(X2) ) )
& ( ( sK11(X0,X1) = X0
& ! [X5] :
( sK11(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,sK11(X0,X1))
& object(sK11(X0,X1)) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f59,f61,f60]) ).
fof(f60,plain,
! [X1,X2] :
( ? [X3] :
( X2 != X3
& exemplifies_property(X1,X3)
& object(X3) )
=> ( sK10(X1,X2) != X2
& exemplifies_property(X1,sK10(X1,X2))
& object(sK10(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X4] :
( X0 = X4
& ! [X5] :
( X4 = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,X4)
& object(X4) )
=> ( sK11(X0,X1) = X0
& ! [X5] :
( sK11(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,sK11(X0,X1))
& object(sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ! [X2] :
( X0 != X2
| ? [X3] :
( X2 != X3
& exemplifies_property(X1,X3)
& object(X3) )
| ~ exemplifies_property(X1,X2)
| ~ object(X2) ) )
& ( ? [X4] :
( X0 = X4
& ! [X5] :
( X4 = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,X4)
& object(X4) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X2,X0] :
( ( sP4(X2,X0)
| ! [X3] :
( X2 != X3
| ? [X4] :
( X3 != X4
& exemplifies_property(X0,X4)
& object(X4) )
| ~ exemplifies_property(X0,X3)
| ~ object(X3) ) )
& ( ? [X3] :
( X2 = X3
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) )
| ~ sP4(X2,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X2,X0] :
( sP4(X2,X0)
<=> ? [X3] :
( X2 = X3
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ sP4(X0,X2)
| X0 = X1 ),
inference(resolution,[],[f105,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| ~ sP4(X1,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( ( ( X1 = X2
& is_the(X2,X0) )
| ~ sP4(X1,X0) )
& ( sP4(X1,X0)
| X1 != X2
| ~ is_the(X2,X0) ) )
| ~ sP5(X0,X1,X2) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] :
( ( ( ( X1 = X2
& is_the(X1,X0) )
| ~ sP4(X2,X0) )
& ( sP4(X2,X0)
| X1 != X2
| ~ is_the(X1,X0) ) )
| ~ sP5(X0,X2,X1) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X2,X1] :
( ( ( ( X1 = X2
& is_the(X1,X0) )
| ~ sP4(X2,X0) )
& ( sP4(X2,X0)
| X1 != X2
| ~ is_the(X1,X0) ) )
| ~ sP5(X0,X2,X1) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( ( ( X1 = X2
& is_the(X1,X0) )
<=> sP4(X2,X0) )
| ~ sP5(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f105,plain,
! [X2,X0,X1] :
( sP5(X0,X2,X1)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( sP5(X0,X2,X1)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(definition_folding,[],[f30,f38,f37]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( ( X1 = X2
& is_the(X1,X0) )
<=> ? [X3] :
( X2 = X3
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) ) )
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ( X1 = X2
& is_the(X1,X0) )
<=> ? [X3] :
( X2 = X3
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) ) )
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( object(X2)
& object(X1)
& property(X0) )
=> ( ( X1 = X2
& is_the(X1,X0) )
<=> ? [X3] :
( X2 = X3
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X0,X4)
=> X3 = X4 ) )
& exemplifies_property(X0,X3)
& object(X3) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X5] :
( ( object(X5)
& object(X0)
& property(X1) )
=> ( ( X0 = X5
& is_the(X0,X1) )
<=> ? [X3] :
( X3 = X5
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X1,X4)
=> X3 = X4 ) )
& exemplifies_property(X1,X3)
& object(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
fof(f264,plain,
! [X0] :
( exemplifies_property(conceivable,sK6(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f70,f80]) ).
fof(f70,plain,
! [X0] :
( exemplifies_property(conceivable,sK6(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f352,plain,
( ~ exemplifies_property(conceivable,god)
| ~ sP0(god)
| ~ spl13_5 ),
inference(resolution,[],[f351,f227]) ).
fof(f227,plain,
! [X2,X0] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f74,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ exemplifies_property(X1,X0)
| object(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f74,plain,
! [X2,X0] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( sP0(X0)
| ( exemplifies_property(conceivable,sK7(X0))
& exemplifies_relation(greater_than,sK7(X0),X0)
& object(sK7(X0)) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK7(X0))
& exemplifies_relation(greater_than,sK7(X0),X0)
& object(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f351,plain,
( exemplifies_relation(greater_than,god,god)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f350,f66]) ).
fof(f350,plain,
( exemplifies_relation(greater_than,god,god)
| ~ is_the(god,none_greater)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f347,f65]) ).
fof(f347,plain,
( exemplifies_relation(greater_than,god,god)
| exemplifies_property(existence,god)
| ~ is_the(god,none_greater)
| ~ spl13_5 ),
inference(superposition,[],[f343,f219]) ).
fof(f343,plain,
! [X0] :
( exemplifies_relation(greater_than,sK6(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f69,f80]) ).
fof(f69,plain,
! [X0] :
( exemplifies_relation(greater_than,sK6(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f282,plain,
( spl13_9
| spl13_10
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f274,f182,f280,f276]) ).
fof(f276,plain,
( spl13_9
<=> property(existence) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f280,plain,
( spl13_10
<=> ! [X0] :
( ~ object(X0)
| god = sK6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f274,plain,
( ! [X0] :
( ~ object(X0)
| god = sK6(X0)
| property(existence) )
| ~ spl13_5 ),
inference(resolution,[],[f270,f81]) ).
fof(f270,plain,
( ! [X0] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| god = sK6(X0) )
| ~ spl13_5 ),
inference(resolution,[],[f237,f217]) ).
fof(f237,plain,
( ! [X0] :
( object(sK6(X0))
| exemplifies_property(existence,X0)
| ~ object(X0) )
| ~ spl13_5 ),
inference(resolution,[],[f236,f193]) ).
fof(f236,plain,
( ! [X0] :
( is_the(X0,none_greater)
| ~ object(X0) )
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f234,f114]) ).
fof(f234,plain,
( ! [X0] :
( ~ object(X0)
| ~ object(god)
| is_the(X0,none_greater) )
| ~ spl13_5 ),
inference(resolution,[],[f171,f183]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X2)
| ~ object(X1)
| ~ object(X0)
| is_the(X1,X2) ),
inference(subsumption_resolution,[],[f169,f156]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ object(X0)
| ~ object(X1)
| ~ property(X2)
| ~ sP4(X0,X2)
| is_the(X1,X2) ),
inference(resolution,[],[f105,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| ~ sP4(X1,X0)
| is_the(X2,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f210,plain,
spl13_7,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| spl13_7 ),
inference(subsumption_resolution,[],[f208,f114]) ).
fof(f208,plain,
( ~ object(god)
| spl13_7 ),
inference(resolution,[],[f202,f78]) ).
fof(f78,plain,
! [X0] :
( sP1(X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( sP1(X0)
| ~ object(X0) ),
inference(definition_folding,[],[f22,f32,f31]) ).
fof(f32,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f22,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
& exemplifies_property(conceivable,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( ~ ? [X3] :
( exemplifies_property(conceivable,X3)
& exemplifies_relation(greater_than,X3,X0)
& object(X3) )
& exemplifies_property(conceivable,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f202,plain,
( ~ sP1(god)
| spl13_7 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl13_7
<=> sP1(god) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f207,plain,
( ~ spl13_7
| spl13_8
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f196,f186,f204,f200]) ).
fof(f186,plain,
( spl13_6
<=> exemplifies_property(none_greater,god) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f196,plain,
( sP0(god)
| ~ sP1(god)
| ~ spl13_6 ),
inference(resolution,[],[f188,f71]) ).
fof(f71,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ exemplifies_property(none_greater,X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f188,plain,
( exemplifies_property(none_greater,god)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f192,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| spl13_5 ),
inference(subsumption_resolution,[],[f190,f66]) ).
fof(f190,plain,
( ~ is_the(god,none_greater)
| spl13_5 ),
inference(resolution,[],[f184,f175]) ).
fof(f175,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ is_the(X0,X1) ),
inference(subsumption_resolution,[],[f174,f80]) ).
fof(f174,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| sP4(X0,X1)
| ~ object(X0) ),
inference(subsumption_resolution,[],[f173,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f173,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| sP4(X0,X1)
| ~ object(X0)
| ~ property(X1) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| sP4(X0,X1)
| ~ object(X0)
| ~ object(X0)
| ~ property(X1) ),
inference(resolution,[],[f108,f105]) ).
fof(f108,plain,
! [X2,X0] :
( ~ sP5(X0,X2,X2)
| ~ is_the(X2,X0)
| sP4(X2,X0) ),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sP4(X1,X0)
| X1 != X2
| ~ is_the(X2,X0)
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f184,plain,
( ~ sP4(god,none_greater)
| spl13_5 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f189,plain,
( ~ spl13_5
| spl13_6 ),
inference(avatar_split_clause,[],[f179,f186,f182]) ).
fof(f179,plain,
( exemplifies_property(none_greater,god)
| ~ sP4(god,none_greater) ),
inference(superposition,[],[f99,f178]) ).
fof(f178,plain,
god = sK11(god,none_greater),
inference(resolution,[],[f176,f66]) ).
fof(f176,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| sK11(X0,X1) = X0 ),
inference(resolution,[],[f175,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sK11(X0,X1) = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f140,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| spl13_3 ),
inference(subsumption_resolution,[],[f138,f106]) ).
fof(f106,plain,
object(sK12),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( exemplifies_property(none_greater,sK12)
& object(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f8,f63]) ).
fof(f63,plain,
( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ( exemplifies_property(none_greater,sK12)
& object(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f138,plain,
( ~ object(sK12)
| spl13_3 ),
inference(resolution,[],[f132,f78]) ).
fof(f132,plain,
( ~ sP1(sK12)
| spl13_3 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl13_3
<=> sP1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f137,plain,
( ~ spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f128,f134,f130]) ).
fof(f134,plain,
( spl13_4
<=> sP0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f128,plain,
( sP0(sK12)
| ~ sP1(sK12) ),
inference(resolution,[],[f71,f107]) ).
fof(f107,plain,
exemplifies_property(none_greater,sK12),
inference(cnf_transformation,[],[f64]) ).
fof(f126,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f116,f123,f120]) ).
fof(f120,plain,
( spl13_1
<=> ! [X0] : ~ sP0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f123,plain,
( spl13_2
<=> property(conceivable) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f116,plain,
! [X0] :
( property(conceivable)
| ~ sP0(X0) ),
inference(resolution,[],[f81,f73]) ).
fof(f73,plain,
! [X0] :
( exemplifies_property(conceivable,X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 18:49:52 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (7274)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (7277)WARNING: value z3 for option sas not known
% 0.14/0.31 % (7281)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.31 % (7278)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.31 % (7280)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.31 % (7279)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.32 % (7276)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (7277)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (7275)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [4]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [4]
% 0.14/0.32 % (7277)First to succeed.
% 0.14/0.33 % (7277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7274"
% 0.14/0.33 % (7277)Refutation found. Thanks to Tanya!
% 0.14/0.33 % SZS status Theorem for theBenchmark
% 0.14/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33 % (7277)------------------------------
% 0.14/0.33 % (7277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.33 % (7277)Termination reason: Refutation
% 0.14/0.33
% 0.14/0.33 % (7277)Memory used [KB]: 975
% 0.14/0.33 % (7277)Time elapsed: 0.012 s
% 0.14/0.33 % (7277)Instructions burned: 18 (million)
% 0.14/0.33 % (7274)Success in time 0.028 s
%------------------------------------------------------------------------------