TSTP Solution File: PHI014+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 18:08:24 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 12 unt; 0 def)
% Number of atoms : 227 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 274 ( 108 ~; 100 |; 47 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 70 ( 58 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f60,f78]) ).
fof(f78,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f76,f29]) ).
fof(f29,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f76,plain,
( ~ is_the(god,none_greater)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f75,f32]) ).
fof(f32,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f7]) ).
fof(f7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f75,plain,
( exemplifies_property(existence,god)
| ~ is_the(god,none_greater)
| ~ spl2_1 ),
inference(resolution,[],[f74,f38]) ).
fof(f38,plain,
! [X0] :
( exemplifies_property(conceivable,sK0(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(subsumption_resolution,[],[f25,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| ( property(X1)
& object(X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( is_the(X0,X1)
=> ( property(X1)
& object(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X0] :
( is_the(X3,X0)
=> ( object(X3)
& property(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f25,plain,
! [X0] :
( exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK0(X0))
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ( exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0))
& exemplifies_property(conceivable,sK0(X0)) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) )
=> ( exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0))
& exemplifies_property(conceivable,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) )
| ~ object(X0) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) )
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( object(X0)
=> ( ( is_the(X0,none_greater)
& ~ exemplifies_property(existence,X0) )
=> ? [X1] :
( exemplifies_relation(greater_than,X1,X0)
& object(X1)
& exemplifies_property(conceivable,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3] :
( object(X3)
=> ( ( is_the(X3,none_greater)
& ~ exemplifies_property(existence,X3) )
=> ? [X1] :
( exemplifies_relation(greater_than,X1,X3)
& exemplifies_property(conceivable,X1)
& object(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f74,plain,
( ~ exemplifies_property(conceivable,sK0(god))
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f73,f54]) ).
fof(f54,plain,
( exemplifies_property(none_greater,god)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl2_1
<=> exemplifies_property(none_greater,god) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f73,plain,
( ~ exemplifies_property(none_greater,god)
| ~ exemplifies_property(conceivable,sK0(god)) ),
inference(subsumption_resolution,[],[f72,f42]) ).
fof(f42,plain,
object(god),
inference(resolution,[],[f30,f29]) ).
fof(f72,plain,
( ~ object(god)
| ~ exemplifies_property(none_greater,god)
| ~ exemplifies_property(conceivable,sK0(god)) ),
inference(subsumption_resolution,[],[f71,f46]) ).
fof(f46,plain,
object(sK0(god)),
inference(subsumption_resolution,[],[f45,f42]) ).
fof(f45,plain,
( ~ object(god)
| object(sK0(god)) ),
inference(subsumption_resolution,[],[f44,f32]) ).
fof(f44,plain,
( exemplifies_property(existence,god)
| ~ object(god)
| object(sK0(god)) ),
inference(resolution,[],[f26,f29]) ).
fof(f26,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| object(sK0(X0))
| exemplifies_property(existence,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f71,plain,
( ~ exemplifies_property(conceivable,sK0(god))
| ~ object(sK0(god))
| ~ exemplifies_property(none_greater,god)
| ~ object(god) ),
inference(resolution,[],[f36,f49]) ).
fof(f49,plain,
exemplifies_relation(greater_than,sK0(god),god),
inference(subsumption_resolution,[],[f48,f42]) ).
fof(f48,plain,
( exemplifies_relation(greater_than,sK0(god),god)
| ~ object(god) ),
inference(subsumption_resolution,[],[f47,f32]) ).
fof(f47,plain,
( exemplifies_relation(greater_than,sK0(god),god)
| exemplifies_property(existence,god)
| ~ object(god) ),
inference(resolution,[],[f27,f29]) ).
fof(f27,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK0(X0),X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X0,X1] :
( ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( object(sK1(X0))
& exemplifies_property(conceivable,sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0) ) ) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f22,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X2] :
( object(X2)
& exemplifies_property(conceivable,X2)
& exemplifies_relation(greater_than,X2,X0) )
=> ( object(sK1(X0))
& exemplifies_property(conceivable,sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X2] :
( object(X2)
& exemplifies_property(conceivable,X2)
& exemplifies_relation(greater_than,X2,X0) ) ) )
| ~ object(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0) ) ) )
| ~ object(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0) ) )
| ~ exemplifies_property(none_greater,X0) )
& ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0) ) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0) ) )
<=> exemplifies_property(none_greater,X0) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& object(X1)
& exemplifies_relation(greater_than,X1,X0) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3] :
( object(X3)
=> ( exemplifies_property(none_greater,X3)
<=> ( ~ ? [X1] :
( exemplifies_relation(greater_than,X1,X3)
& exemplifies_property(conceivable,X1)
& object(X1) )
& exemplifies_property(conceivable,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f60,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f57,f29]) ).
fof(f57,plain,
( ! [X0] : ~ is_the(X0,none_greater)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl2_2
<=> ! [X0] : ~ is_the(X0,none_greater) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f58,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f50,f56,f52]) ).
fof(f50,plain,
! [X0] :
( ~ is_the(X0,none_greater)
| exemplifies_property(none_greater,god) ),
inference(resolution,[],[f41,f29]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ is_the(X2,X0)
| ~ is_the(X1,X0)
| exemplifies_property(X0,X2) ),
inference(subsumption_resolution,[],[f40,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ property(X0)
| exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ is_the(X1,X0) ),
inference(subsumption_resolution,[],[f39,f30]) ).
fof(f39,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X2)
| ~ object(X2)
| ~ property(X0)
| ~ is_the(X2,X0)
| ~ is_the(X1,X0) ),
inference(subsumption_resolution,[],[f28,f30]) ).
fof(f28,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X2)
| ~ object(X1)
| ~ object(X2)
| ~ property(X0)
| ~ is_the(X1,X0)
| ~ is_the(X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ object(X2)
| exemplifies_property(X0,X2)
| ~ is_the(X2,X0) )
| ~ property(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ~ property(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( property(X0)
=> ( ? [X1] :
( is_the(X1,X0)
& object(X1) )
=> ! [X2] :
( object(X2)
=> ( is_the(X2,X0)
=> exemplifies_property(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:58:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18833)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (18825)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50 % (18825)First to succeed.
% 0.19/0.51 % (18825)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (18825)------------------------------
% 0.19/0.51 % (18825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18825)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (18825)Memory used [KB]: 5373
% 0.19/0.51 % (18825)Time elapsed: 0.089 s
% 0.19/0.51 % (18825)Instructions burned: 2 (million)
% 0.19/0.51 % (18825)------------------------------
% 0.19/0.51 % (18825)------------------------------
% 0.19/0.51 % (18804)Success in time 0.158 s
%------------------------------------------------------------------------------