TSTP Solution File: PHI014+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PHI014+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 1.58s 1.09s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 9 unt; 0 def)
% Number of atoms : 248 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 315 ( 125 ~; 126 |; 47 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 92 ( 4 sgn 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
fof(f2,axiom,
! [X3,X0] :
( is_the(X3,X0)
=> ( object(X3)
& property(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f3,axiom,
! [X3] :
( object(X3)
=> ( exemplifies_property(none_greater,X3)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X3)
& object(X1) )
& exemplifies_property(conceivable,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f4,axiom,
! [X3] :
( object(X3)
=> ( ( ~ exemplifies_property(existence,X3)
& is_the(X3,none_greater) )
=> ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X3)
& object(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f9,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,[],[f3]) ).
fof(f10,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,[],[f4]) ).
fof(f11,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f7]) ).
fof(f12,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(f13,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ~ property(X0) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,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,[],[f9]) ).
fof(f16,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,[],[f10]) ).
fof(f17,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,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ is_the(X2,X0)
| ~ object(X2) )
| ~ property(X0) ),
inference(rectify,[],[f13]) ).
fof(f19,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,[],[f15]) ).
fof(f20,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,[],[f19]) ).
fof(f21,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,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ( exemplifies_property(conceivable,sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(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,[sK0])],[f21,f22]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0)
& object(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ( exemplifies_property(conceivable,sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0)
& object(sK1(X0)) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f17,f24]) ).
fof(f26,plain,
! [X2,X0,X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1)
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ property(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,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,[],[f23]) ).
fof(f34,plain,
! [X0] :
( object(sK1(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X0] :
( exemplifies_relation(greater_than,sK1(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f36,plain,
! [X0] :
( exemplifies_property(conceivable,sK1(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f37,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f11]) ).
cnf(c_49,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| ~ object(X0)
| ~ object(X2)
| ~ property(X1)
| exemplifies_property(X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
cnf(c_50,plain,
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_51,plain,
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f27]) ).
cnf(c_55,plain,
( ~ exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ object(X1) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_57,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(conceivable,sK1(X0))
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_58,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_relation(greater_than,sK1(X0),X0)
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_59,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0)
| object(sK1(X0)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_60,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f37]) ).
cnf(c_61,negated_conjecture,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f38]) ).
cnf(c_73,plain,
( ~ object(X2)
| ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| exemplifies_property(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_51,c_50,c_49]) ).
cnf(c_74,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| ~ object(X2)
| exemplifies_property(X1,X0) ),
inference(renaming,[status(thm)],[c_73]) ).
cnf(c_84,plain,
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| object(sK1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_50]) ).
cnf(c_85,plain,
( ~ is_the(X0,none_greater)
| exemplifies_property(conceivable,sK1(X0))
| exemplifies_property(existence,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_50]) ).
cnf(c_86,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| exemplifies_property(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_50]) ).
cnf(c_87,plain,
( ~ is_the(X0,none_greater)
| exemplifies_relation(greater_than,sK1(X0),X0)
| exemplifies_property(existence,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_50]) ).
cnf(c_161,plain,
( ~ exemplifies_property(conceivable,sK1(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater)
| ~ object(sK1(X0))
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(resolution,[status(thm)],[c_55,c_87]) ).
cnf(c_163,plain,
( ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_85,c_84,c_161]) ).
cnf(c_164,plain,
( ~ exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(renaming,[status(thm)],[c_163]) ).
cnf(c_174,plain,
( ~ exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164,c_50]) ).
cnf(c_252,plain,
( ~ exemplifies_property(none_greater,X0_14)
| ~ is_the(X0_14,none_greater)
| exemplifies_property(existence,X0_14) ),
inference(subtyping,[status(esa)],[c_174]) ).
cnf(c_253,plain,
( ~ is_the(X0_14,X0_13)
| ~ is_the(X1_14,X0_13)
| exemplifies_property(X0_13,X0_14) ),
inference(subtyping,[status(esa)],[c_86]) ).
cnf(c_257,plain,
( ~ exemplifies_property(none_greater,god)
| ~ is_the(god,none_greater)
| exemplifies_property(existence,god) ),
inference(instantiation,[status(thm)],[c_252]) ).
cnf(c_258,plain,
( ~ is_the(god,none_greater)
| exemplifies_property(none_greater,god) ),
inference(instantiation,[status(thm)],[c_253]) ).
cnf(c_259,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_258,c_257,c_61,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : PHI014+1 : TPTP v8.1.2. Released v7.2.0.
% 0.02/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n005.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:38:11 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 1.58/1.09 % SZS status Started for theBenchmark.p
% 1.58/1.09 % SZS status Theorem for theBenchmark.p
% 1.58/1.09
% 1.58/1.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.58/1.09
% 1.58/1.09 ------ iProver source info
% 1.58/1.09
% 1.58/1.09 git: date: 2024-05-02 19:28:25 +0000
% 1.58/1.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.58/1.09 git: non_committed_changes: false
% 1.58/1.09
% 1.58/1.09 ------ Parsing...
% 1.58/1.09 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.58/1.09
% 1.58/1.09 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 6 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.58/1.09
% 1.58/1.09 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.58/1.09 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.58/1.09 ------ Proving...
% 1.58/1.09 ------ Problem Properties
% 1.58/1.09
% 1.58/1.09
% 1.58/1.09 clauses 4
% 1.58/1.09 conjectures 1
% 1.58/1.09 EPR 4
% 1.58/1.09 Horn 4
% 1.58/1.09 unary 2
% 1.58/1.09 binary 0
% 1.58/1.09 lits 8
% 1.58/1.09 lits eq 0
% 1.58/1.09 fd_pure 0
% 1.58/1.09 fd_pseudo 0
% 1.58/1.09 fd_cond 0
% 1.58/1.09 fd_pseudo_cond 0
% 1.58/1.09 AC symbols 0
% 1.58/1.09
% 1.58/1.09 ------ Schedule EPR Horn non eq is on
% 1.58/1.09
% 1.58/1.09 ------ no equalities: superposition off
% 1.58/1.09
% 1.58/1.09 ------ Option_epr_horn Time Limit: Unbounded
% 1.58/1.09
% 1.58/1.09
% 1.58/1.09 ------
% 1.58/1.09 Current options:
% 1.58/1.09 ------
% 1.58/1.09
% 1.58/1.09
% 1.58/1.09
% 1.58/1.09
% 1.58/1.09 ------ Proving...
% 1.58/1.09
% 1.58/1.09
% 1.58/1.09 % SZS status Theorem for theBenchmark.p
% 1.58/1.09
% 1.58/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.58/1.09
% 1.58/1.09
%------------------------------------------------------------------------------