TSTP Solution File: PHI015+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Fri May 3 02:53:38 EDT 2024
% Result : Theorem 2.57s 1.05s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 151 ( 31 unt; 0 def)
% Number of atoms : 656 ( 85 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 812 ( 307 ~; 298 |; 165 &)
% ( 15 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 308 ( 5 sgn 168 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( exemplifies_property(X1,X0)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(f3,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f4,axiom,
! [X1,X2,X0] :
( ( object(X0)
& property(X2)
& property(X1) )
=> ( ( exemplifies_property(X2,X0)
& is_the(X0,X1) )
<=> ? [X3] :
( exemplifies_property(X2,X3)
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X1,X4)
=> X3 = X4 ) )
& exemplifies_property(X1,X3)
& object(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_schema_instance) ).
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/sandbox2/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
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/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f8,axiom,
? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
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/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f10,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f11,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f12,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( object(X2)
& property(X1)
& property(X0) )
=> ( ( exemplifies_property(X1,X2)
& is_the(X2,X0) )
<=> ? [X3] :
( exemplifies_property(X1,X3)
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X0,X4)
=> X3 = X4 ) )
& exemplifies_property(X0,X3)
& object(X3) ) ) ),
inference(rectify,[],[f4]) ).
fof(f14,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(f16,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(f17,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(f18,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f12]) ).
fof(f20,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ exemplifies_property(X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( exemplifies_property(X1,X2)
& is_the(X2,X0) )
<=> ? [X3] :
( exemplifies_property(X1,X3)
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) ) )
| ~ object(X2)
| ~ property(X1)
| ~ property(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ( exemplifies_property(X1,X2)
& is_the(X2,X0) )
<=> ? [X3] :
( exemplifies_property(X1,X3)
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) ) )
| ~ object(X2)
| ~ property(X1)
| ~ property(X0) ),
inference(flattening,[],[f22]) ).
fof(f24,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,[],[f14]) ).
fof(f25,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,[],[f24]) ).
fof(f28,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,[],[f16]) ).
fof(f29,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,[],[f17]) ).
fof(f30,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,[],[f29]) ).
fof(f31,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ? [X3] :
( exemplifies_property(X1,X3)
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( ( exemplifies_property(X1,X2)
& is_the(X2,X0) )
<=> sP0(X1,X0) )
| ~ sP1(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sP1(X0,X1,X2)
| ~ object(X2)
| ~ property(X1)
| ~ property(X0) ),
inference(definition_folding,[],[f23,f32,f31]) ).
fof(f34,plain,
! [X2,X0] :
( sP2(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,[sP2])]) ).
fof(f35,plain,
! [X0,X2,X1] :
( ( ( X1 = X2
& is_the(X1,X0) )
<=> sP2(X2,X0) )
| ~ sP3(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f36,plain,
! [X0,X1,X2] :
( sP3(X0,X2,X1)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(definition_folding,[],[f25,f35,f34]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ( ( exemplifies_property(X1,X2)
& is_the(X2,X0) )
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ exemplifies_property(X1,X2)
| ~ is_the(X2,X0) ) )
| ~ sP1(X0,X1,X2) ),
inference(nnf_transformation,[],[f32]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( ( ( exemplifies_property(X1,X2)
& is_the(X2,X0) )
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ exemplifies_property(X1,X2)
| ~ is_the(X2,X0) ) )
| ~ sP1(X0,X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ! [X3] :
( ~ exemplifies_property(X1,X3)
| ? [X4] :
( X3 != X4
& exemplifies_property(X0,X4)
& object(X4) )
| ~ exemplifies_property(X0,X3)
| ~ object(X3) ) )
& ( ? [X3] :
( exemplifies_property(X1,X3)
& ! [X4] :
( X3 = X4
| ~ exemplifies_property(X0,X4)
| ~ object(X4) )
& exemplifies_property(X0,X3)
& object(X3) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f40,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ~ exemplifies_property(X0,X2)
| ? [X3] :
( X2 != X3
& exemplifies_property(X1,X3)
& object(X3) )
| ~ exemplifies_property(X1,X2)
| ~ object(X2) ) )
& ( ? [X4] :
( exemplifies_property(X0,X4)
& ! [X5] :
( X4 = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,X4)
& object(X4) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X1,X2] :
( ? [X3] :
( X2 != X3
& exemplifies_property(X1,X3)
& object(X3) )
=> ( sK4(X1,X2) != X2
& exemplifies_property(X1,sK4(X1,X2))
& object(sK4(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X4] :
( exemplifies_property(X0,X4)
& ! [X5] :
( X4 = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,X4)
& object(X4) )
=> ( exemplifies_property(X0,sK5(X0,X1))
& ! [X5] :
( sK5(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,sK5(X0,X1))
& object(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ~ exemplifies_property(X0,X2)
| ( sK4(X1,X2) != X2
& exemplifies_property(X1,sK4(X1,X2))
& object(sK4(X1,X2)) )
| ~ exemplifies_property(X1,X2)
| ~ object(X2) ) )
& ( ( exemplifies_property(X0,sK5(X0,X1))
& ! [X5] :
( sK5(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,sK5(X0,X1))
& object(sK5(X0,X1)) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f40,f42,f41]) ).
fof(f44,plain,
! [X0,X2,X1] :
( ( ( ( X1 = X2
& is_the(X1,X0) )
| ~ sP2(X2,X0) )
& ( sP2(X2,X0)
| X1 != X2
| ~ is_the(X1,X0) ) )
| ~ sP3(X0,X2,X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f45,plain,
! [X0,X2,X1] :
( ( ( ( X1 = X2
& is_the(X1,X0) )
| ~ sP2(X2,X0) )
& ( sP2(X2,X0)
| X1 != X2
| ~ is_the(X1,X0) ) )
| ~ sP3(X0,X2,X1) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ( ( X1 = X2
& is_the(X2,X0) )
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| X1 != X2
| ~ is_the(X2,X0) ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X2,X0] :
( ( sP2(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) )
| ~ sP2(X2,X0) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f48,plain,
! [X0,X1] :
( ( sP2(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) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X1,X2] :
( ? [X3] :
( X2 != X3
& exemplifies_property(X1,X3)
& object(X3) )
=> ( sK6(X1,X2) != X2
& exemplifies_property(X1,sK6(X1,X2))
& object(sK6(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X4] :
( X0 = X4
& ! [X5] :
( X4 = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,X4)
& object(X4) )
=> ( sK7(X0,X1) = X0
& ! [X5] :
( sK7(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,sK7(X0,X1))
& object(sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( X0 != X2
| ( sK6(X1,X2) != X2
& exemplifies_property(X1,sK6(X1,X2))
& object(sK6(X1,X2)) )
| ~ exemplifies_property(X1,X2)
| ~ object(X2) ) )
& ( ( sK7(X0,X1) = X0
& ! [X5] :
( sK7(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5) )
& exemplifies_property(X1,sK7(X0,X1))
& object(sK7(X0,X1)) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f48,f50,f49]) ).
fof(f52,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,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) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f53,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,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) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,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) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK8(X0))
& exemplifies_relation(greater_than,sK8(X0),X0)
& object(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ( exemplifies_property(conceivable,sK8(X0))
& exemplifies_relation(greater_than,sK8(X0),X0)
& object(sK8(X0)) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f54,f55]) ).
fof(f57,plain,
( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ( exemplifies_property(none_greater,sK9)
& object(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( exemplifies_property(none_greater,sK9)
& object(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f8,f57]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK10(X0))
& exemplifies_relation(greater_than,sK10(X0),X0)
& object(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ( exemplifies_property(conceivable,sK10(X0))
& exemplifies_relation(greater_than,sK10(X0),X0)
& object(sK10(X0)) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f30,f59]) ).
fof(f62,plain,
! [X0,X1] :
( property(X1)
| ~ exemplifies_property(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f63,plain,
! [X0,X1] :
( object(X0)
| ~ exemplifies_property(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f64,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f65,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f66,plain,
! [X2,X0,X1] :
( sP0(X1,X0)
| ~ exemplifies_property(X1,X2)
| ~ is_the(X2,X0)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
! [X0,X1,X5] :
( sK5(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f76,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ object(X2)
| ~ property(X1)
| ~ property(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f77,plain,
! [X2,X0,X1] :
( sP2(X1,X0)
| X1 != X2
| ~ is_the(X2,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f78,plain,
! [X2,X0,X1] :
( is_the(X2,X0)
| ~ sP2(X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f81,plain,
! [X0,X1] :
( exemplifies_property(X1,sK7(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f82,plain,
! [X0,X1,X5] :
( sK7(X0,X1) = X5
| ~ exemplifies_property(X1,X5)
| ~ object(X5)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f83,plain,
! [X0,X1] :
( sK7(X0,X1) = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f87,plain,
! [X2,X0,X1] :
( sP3(X0,X2,X1)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f89,plain,
! [X0] :
( exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f90,plain,
! [X2,X0] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f95,plain,
exemplifies_property(none_greater,sK9),
inference(cnf_transformation,[],[f58]) ).
fof(f96,plain,
! [X0] :
( object(sK10(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f97,plain,
! [X0] :
( exemplifies_relation(greater_than,sK10(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f99,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f10]) ).
fof(f100,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f18]) ).
fof(f101,plain,
! [X2,X0] :
( sP2(X2,X0)
| ~ is_the(X2,X0)
| ~ sP3(X0,X2,X2) ),
inference(equality_resolution,[],[f77]) ).
cnf(c_50,plain,
( ~ exemplifies_property(X0,X1)
| object(X1) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_51,plain,
( ~ exemplifies_property(X0,X1)
| property(X0) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_52,plain,
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_53,plain,
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_56,plain,
( ~ sP1(X0,X1,X2)
| ~ exemplifies_property(X1,X2)
| ~ is_the(X2,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_61,plain,
( ~ exemplifies_property(X0,X1)
| ~ sP0(X2,X0)
| ~ object(X1)
| sK5(X2,X0) = X1 ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_64,plain,
( ~ property(X0)
| ~ property(X1)
| ~ object(X2)
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_66,plain,
( ~ sP3(X0,X1,X2)
| ~ sP2(X1,X0)
| is_the(X2,X0) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_67,plain,
( ~ sP3(X0,X1,X1)
| ~ is_the(X1,X0)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_71,plain,
( ~ sP2(X0,X1)
| sK7(X0,X1) = X0 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_72,plain,
( ~ exemplifies_property(X0,X1)
| ~ sP2(X2,X0)
| ~ object(X1)
| sK7(X2,X0) = X1 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_73,plain,
( ~ sP2(X0,X1)
| exemplifies_property(X1,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_75,plain,
( ~ property(X0)
| ~ object(X1)
| ~ object(X2)
| sP3(X0,X2,X1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_80,plain,
( ~ exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ object(X1) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_81,plain,
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| exemplifies_property(conceivable,X0) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_82,plain,
exemplifies_property(none_greater,sK9),
inference(cnf_transformation,[],[f95]) ).
cnf(c_85,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_relation(greater_than,sK10(X0),X0)
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_86,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| object(sK10(X0))
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_87,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f99]) ).
cnf(c_88,negated_conjecture,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f100]) ).
cnf(c_127,plain,
( ~ sP2(X2,X0)
| ~ exemplifies_property(X0,X1)
| sK7(X2,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_72,c_50,c_72]) ).
cnf(c_128,plain,
( ~ exemplifies_property(X0,X1)
| ~ sP2(X2,X0)
| sK7(X2,X0) = X1 ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_132,plain,
( ~ sP0(X2,X0)
| ~ exemplifies_property(X0,X1)
| sK5(X2,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_61,c_50,c_61]) ).
cnf(c_133,plain,
( ~ exemplifies_property(X0,X1)
| ~ sP0(X2,X0)
| sK5(X2,X0) = X1 ),
inference(renaming,[status(thm)],[c_132]) ).
cnf(c_160,plain,
( ~ exemplifies_property(none_greater,X0)
| exemplifies_property(conceivable,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_50]) ).
cnf(c_164,plain,
( ~ exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_50]) ).
cnf(c_177,plain,
( ~ is_the(X0,none_greater)
| object(sK10(X0))
| exemplifies_property(existence,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_52]) ).
cnf(c_179,plain,
( ~ is_the(X0,none_greater)
| exemplifies_relation(greater_than,sK10(X0),X0)
| exemplifies_property(existence,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_85,c_52]) ).
cnf(c_355,plain,
( ~ exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164,c_50]) ).
cnf(c_597,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ sP2(X2,X0)
| ~ property(X1)
| ~ object(X3)
| ~ object(X5)
| is_the(X4,X0) ),
inference(resolution_lifted,[status(thm)],[c_66,c_75]) ).
cnf(c_598,plain,
( ~ sP2(X0,X1)
| ~ property(X1)
| ~ object(X0)
| ~ object(X2)
| is_the(X2,X1) ),
inference(unflattening,[status(thm)],[c_597]) ).
cnf(c_631,plain,
( X0 != X1
| X2 != X3
| X2 != X4
| ~ is_the(X2,X0)
| ~ property(X1)
| ~ object(X3)
| ~ object(X4)
| sP2(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_67,c_75]) ).
cnf(c_632,plain,
( ~ is_the(X0,X1)
| ~ property(X1)
| ~ object(X0)
| sP2(X0,X1) ),
inference(unflattening,[status(thm)],[c_631]) ).
cnf(c_633,plain,
( ~ is_the(X0,X1)
| sP2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_632,c_53,c_52,c_632]) ).
cnf(c_654,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ exemplifies_property(X3,X5)
| ~ is_the(X5,X1)
| ~ property(X0)
| ~ property(X2)
| ~ object(X4)
| sP0(X3,X1) ),
inference(resolution_lifted,[status(thm)],[c_64,c_56]) ).
cnf(c_655,plain,
( ~ exemplifies_property(X0,X1)
| ~ is_the(X1,X2)
| ~ property(X0)
| ~ property(X2)
| ~ object(X1)
| sP0(X0,X2) ),
inference(unflattening,[status(thm)],[c_654]) ).
cnf(c_656,plain,
( ~ property(X2)
| ~ exemplifies_property(X0,X1)
| ~ is_the(X1,X2)
| sP0(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_655,c_51,c_50,c_655]) ).
cnf(c_657,plain,
( ~ exemplifies_property(X0,X1)
| ~ is_the(X1,X2)
| ~ property(X2)
| sP0(X0,X2) ),
inference(renaming,[status(thm)],[c_656]) ).
cnf(c_667,plain,
( ~ exemplifies_property(X0,X1)
| ~ is_the(X1,X2)
| sP0(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_657,c_53]) ).
cnf(c_3491,negated_conjecture,
~ exemplifies_property(existence,god),
inference(demodulation,[status(thm)],[c_88]) ).
cnf(c_4020,plain,
exemplifies_property(conceivable,sK9),
inference(superposition,[status(thm)],[c_82,c_160]) ).
cnf(c_4025,plain,
object(god),
inference(superposition,[status(thm)],[c_87,c_52]) ).
cnf(c_4046,plain,
sP2(god,none_greater),
inference(superposition,[status(thm)],[c_87,c_633]) ).
cnf(c_4082,plain,
( ~ sP2(X0,X1)
| property(X1) ),
inference(superposition,[status(thm)],[c_73,c_51]) ).
cnf(c_4102,plain,
sK7(god,none_greater) = god,
inference(superposition,[status(thm)],[c_4046,c_71]) ).
cnf(c_4137,plain,
( object(sK10(god))
| exemplifies_property(existence,god) ),
inference(superposition,[status(thm)],[c_87,c_177]) ).
cnf(c_4138,plain,
object(sK10(god)),
inference(forward_subsumption_resolution,[status(thm)],[c_4137,c_3491]) ).
cnf(c_4150,plain,
( ~ sP2(god,none_greater)
| exemplifies_property(none_greater,god) ),
inference(superposition,[status(thm)],[c_4102,c_73]) ).
cnf(c_4152,plain,
exemplifies_property(none_greater,god),
inference(forward_subsumption_resolution,[status(thm)],[c_4150,c_4046]) ).
cnf(c_4155,plain,
exemplifies_property(conceivable,god),
inference(superposition,[status(thm)],[c_4152,c_160]) ).
cnf(c_4297,plain,
( ~ is_the(god,X0)
| sP0(conceivable,X0) ),
inference(superposition,[status(thm)],[c_4155,c_667]) ).
cnf(c_4372,plain,
sP0(conceivable,none_greater),
inference(superposition,[status(thm)],[c_87,c_4297]) ).
cnf(c_4422,plain,
( ~ sP2(X0,X1)
| ~ object(X0)
| ~ object(X2)
| is_the(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_598,c_598,c_4082]) ).
cnf(c_4432,plain,
( ~ object(X0)
| ~ object(god)
| is_the(X0,none_greater) ),
inference(superposition,[status(thm)],[c_4046,c_4422]) ).
cnf(c_4433,plain,
( ~ object(X0)
| is_the(X0,none_greater) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4432,c_4025]) ).
cnf(c_4455,plain,
( ~ sP2(X0,none_greater)
| sK7(X0,none_greater) = sK9 ),
inference(superposition,[status(thm)],[c_82,c_128]) ).
cnf(c_4533,plain,
sK7(god,none_greater) = sK9,
inference(superposition,[status(thm)],[c_4046,c_4455]) ).
cnf(c_4534,plain,
sK9 = god,
inference(demodulation,[status(thm)],[c_4102,c_4533]) ).
cnf(c_4539,plain,
object(sK10(sK9)),
inference(demodulation,[status(thm)],[c_4138,c_4534]) ).
cnf(c_4542,plain,
is_the(sK9,none_greater),
inference(demodulation,[status(thm)],[c_87,c_4534]) ).
cnf(c_4543,plain,
~ exemplifies_property(existence,sK9),
inference(demodulation,[status(thm)],[c_3491,c_4534]) ).
cnf(c_4565,plain,
( ~ object(X0)
| sP2(X0,none_greater) ),
inference(superposition,[status(thm)],[c_4433,c_633]) ).
cnf(c_4600,plain,
( ~ object(X0)
| sK7(X0,none_greater) = X0 ),
inference(superposition,[status(thm)],[c_4565,c_71]) ).
cnf(c_4628,plain,
sK7(sK10(sK9),none_greater) = sK10(sK9),
inference(superposition,[status(thm)],[c_4539,c_4600]) ).
cnf(c_4647,plain,
( ~ sP2(sK10(sK9),none_greater)
| exemplifies_property(none_greater,sK10(sK9)) ),
inference(superposition,[status(thm)],[c_4628,c_73]) ).
cnf(c_4661,plain,
( ~ object(sK10(sK9))
| exemplifies_property(none_greater,sK10(sK9)) ),
inference(superposition,[status(thm)],[c_4565,c_4647]) ).
cnf(c_4662,plain,
exemplifies_property(none_greater,sK10(sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_4661,c_4539]) ).
cnf(c_4678,plain,
( ~ sP0(X0,none_greater)
| sK5(X0,none_greater) = sK9 ),
inference(superposition,[status(thm)],[c_82,c_133]) ).
cnf(c_4743,plain,
sK5(conceivable,none_greater) = sK9,
inference(superposition,[status(thm)],[c_4372,c_4678]) ).
cnf(c_4755,plain,
( ~ sP0(X0,none_greater)
| sK5(X0,none_greater) = sK10(sK9) ),
inference(superposition,[status(thm)],[c_4662,c_133]) ).
cnf(c_4822,plain,
sK5(conceivable,none_greater) = sK10(sK9),
inference(superposition,[status(thm)],[c_4372,c_4755]) ).
cnf(c_4823,plain,
sK10(sK9) = sK9,
inference(light_normalisation,[status(thm)],[c_4822,c_4743]) ).
cnf(c_4842,plain,
( ~ is_the(sK9,none_greater)
| exemplifies_relation(greater_than,sK9,sK9)
| exemplifies_property(existence,sK9) ),
inference(superposition,[status(thm)],[c_4823,c_179]) ).
cnf(c_4844,plain,
exemplifies_relation(greater_than,sK9,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_4842,c_4543,c_4542]) ).
cnf(c_4871,plain,
( ~ exemplifies_property(none_greater,sK9)
| ~ exemplifies_property(conceivable,sK9) ),
inference(superposition,[status(thm)],[c_4844,c_355]) ).
cnf(c_4872,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4871,c_4020,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 21:54:31 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.41 Running first-order theorem proving
% 0.17/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.57/1.05 % SZS status Started for theBenchmark.p
% 2.57/1.05 % SZS status Theorem for theBenchmark.p
% 2.57/1.05
% 2.57/1.05 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.57/1.05
% 2.57/1.05 ------ iProver source info
% 2.57/1.05
% 2.57/1.05 git: date: 2024-05-02 19:28:25 +0000
% 2.57/1.05 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.57/1.05 git: non_committed_changes: false
% 2.57/1.05
% 2.57/1.05 ------ Parsing...
% 2.57/1.05 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.57/1.05
% 2.57/1.05 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.57/1.05
% 2.57/1.05 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.57/1.05
% 2.57/1.05 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.57/1.05 ------ Proving...
% 2.57/1.05 ------ Problem Properties
% 2.57/1.05
% 2.57/1.05
% 2.57/1.05 clauses 38
% 2.57/1.05 conjectures 1
% 2.57/1.05 EPR 18
% 2.57/1.05 Horn 27
% 2.57/1.05 unary 4
% 2.57/1.05 binary 13
% 2.57/1.05 lits 106
% 2.57/1.05 lits eq 7
% 2.57/1.05 fd_pure 0
% 2.57/1.05 fd_pseudo 0
% 2.57/1.05 fd_cond 0
% 2.57/1.05 fd_pseudo_cond 4
% 2.57/1.05 AC symbols 0
% 2.57/1.05
% 2.57/1.05 ------ Schedule dynamic 5 is on
% 2.57/1.05
% 2.57/1.05 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.57/1.05
% 2.57/1.05
% 2.57/1.05 ------
% 2.57/1.05 Current options:
% 2.57/1.05 ------
% 2.57/1.05
% 2.57/1.05
% 2.57/1.05
% 2.57/1.05
% 2.57/1.05 ------ Proving...
% 2.57/1.05
% 2.57/1.05
% 2.57/1.05 % SZS status Theorem for theBenchmark.p
% 2.57/1.05
% 2.57/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.57/1.05
% 2.57/1.05
%------------------------------------------------------------------------------