TSTP Solution File: PHI013+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 2.01s 1.17s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 11 unt; 0 def)
% Number of atoms : 252 ( 3 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 322 ( 129 ~; 129 |; 47 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 93 ( 5 sgn 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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) ).
fof(f3,axiom,
! [X4,X0] :
( is_the(X4,X0)
=> ( object(X4)
& property(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f4,axiom,
! [X4] :
( object(X4)
=> ( exemplifies_property(none_greater,X4)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X4)
& object(X1) )
& exemplifies_property(conceivable,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f7,axiom,
! [X4] :
( object(X4)
=> ( ( ~ exemplifies_property(existence,X4)
& is_the(X4,none_greater) )
=> ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X4)
& object(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,[],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
inference(rectify,[],[f3]) ).
fof(f12,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,[],[f4]) ).
fof(f15,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,[],[f7]) ).
fof(f16,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f10]) ).
fof(f19,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,[],[f2]) ).
fof(f20,plain,
! [X0] :
( ! [X2] :
( exemplifies_property(X0,X2)
| ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ~ property(X0) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( object(X0)
& property(X1) )
| ~ is_the(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
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,[],[f12]) ).
fof(f25,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,[],[f15]) ).
fof(f26,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,[],[f25]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( exemplifies_property(X0,X1)
| ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ is_the(X2,X0)
| ~ object(X2) )
| ~ property(X0) ),
inference(rectify,[],[f20]) ).
fof(f32,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,[],[f22]) ).
fof(f33,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,[],[f32]) ).
fof(f34,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,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ( exemplifies_property(conceivable,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(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,[sK2])],[f34,f35]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK5(X0))
& exemplifies_relation(greater_than,sK5(X0),X0)
& object(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ( exemplifies_property(conceivable,sK5(X0))
& exemplifies_relation(greater_than,sK5(X0),X0)
& object(sK5(X0)) )
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f26,f42]) ).
fof(f50,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,[],[f31]) ).
fof(f51,plain,
! [X0,X1] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0,X1] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,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,[],[f36]) ).
fof(f63,plain,
! [X0] :
( object(sK5(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0] :
( exemplifies_relation(greater_than,sK5(X0),X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f65,plain,
! [X0] :
( exemplifies_property(conceivable,sK5(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f8]) ).
fof(f67,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f16]) ).
cnf(c_55,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| ~ object(X0)
| ~ object(X2)
| ~ property(X1)
| exemplifies_property(X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_56,plain,
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_57,plain,
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_61,plain,
( ~ exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ object(X1) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_68,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(conceivable,sK5(X0))
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_69,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_relation(greater_than,sK5(X0),X0)
| exemplifies_property(existence,X0) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_70,plain,
( ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0)
| object(sK5(X0)) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_71,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f66]) ).
cnf(c_72,negated_conjecture,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f67]) ).
cnf(c_93,plain,
( ~ object(X2)
| ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| exemplifies_property(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_57,c_56,c_55]) ).
cnf(c_94,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| ~ object(X2)
| exemplifies_property(X1,X2) ),
inference(renaming,[status(thm)],[c_93]) ).
cnf(c_108,plain,
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0)
| object(sK5(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70,c_56]) ).
cnf(c_109,plain,
( ~ is_the(X0,none_greater)
| exemplifies_property(conceivable,sK5(X0))
| exemplifies_property(existence,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_56]) ).
cnf(c_110,plain,
( ~ is_the(X0,none_greater)
| exemplifies_relation(greater_than,sK5(X0),X0)
| exemplifies_property(existence,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_56]) ).
cnf(c_111,plain,
( ~ is_the(X0,X1)
| ~ is_the(X2,X1)
| exemplifies_property(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_56]) ).
cnf(c_427,plain,
( sK5(X0) != X1
| X0 != X2
| greater_than != greater_than
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X2)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ object(X2)
| exemplifies_property(existence,X0) ),
inference(resolution_lifted,[status(thm)],[c_61,c_110]) ).
cnf(c_428,plain,
( ~ exemplifies_property(conceivable,sK5(X0))
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| ~ object(sK5(X0))
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(unflattening,[status(thm)],[c_427]) ).
cnf(c_430,plain,
( ~ exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater)
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_109,c_108,c_428]) ).
cnf(c_431,plain,
( ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| exemplifies_property(existence,X0) ),
inference(renaming,[status(thm)],[c_430]) ).
cnf(c_441,plain,
( ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(existence,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_431,c_56]) ).
cnf(c_1006,negated_conjecture,
~ exemplifies_property(existence,god),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_1448,plain,
( ~ is_the(X0,none_greater)
| exemplifies_property(none_greater,X0) ),
inference(superposition,[status(thm)],[c_71,c_111]) ).
cnf(c_1536,plain,
( ~ is_the(X0,none_greater)
| exemplifies_property(existence,X0) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_441,c_1448]) ).
cnf(c_1544,plain,
exemplifies_property(existence,god),
inference(superposition,[status(thm)],[c_71,c_1536]) ).
cnf(c_1545,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1544,c_1006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 22:01:21 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.01/1.17 % SZS status Started for theBenchmark.p
% 2.01/1.17 % SZS status Theorem for theBenchmark.p
% 2.01/1.17
% 2.01/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.01/1.17
% 2.01/1.17 ------ iProver source info
% 2.01/1.17
% 2.01/1.17 git: date: 2024-05-02 19:28:25 +0000
% 2.01/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.01/1.17 git: non_committed_changes: false
% 2.01/1.17
% 2.01/1.17 ------ Parsing...
% 2.01/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.01/1.17
% 2.01/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 2.01/1.17
% 2.01/1.17 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.01/1.17
% 2.01/1.17 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 2.01/1.17 ------ Proving...
% 2.01/1.17 ------ Problem Properties
% 2.01/1.17
% 2.01/1.17
% 2.01/1.17 clauses 24
% 2.01/1.17 conjectures 1
% 2.01/1.17 EPR 14
% 2.01/1.17 Horn 15
% 2.01/1.17 unary 4
% 2.01/1.17 binary 3
% 2.01/1.17 lits 76
% 2.01/1.17 lits eq 3
% 2.01/1.17 fd_pure 0
% 2.01/1.17 fd_pseudo 0
% 2.01/1.17 fd_cond 1
% 2.01/1.17 fd_pseudo_cond 0
% 2.01/1.17 AC symbols 0
% 2.01/1.17
% 2.01/1.17 ------ Schedule dynamic 5 is on
% 2.01/1.17
% 2.01/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.01/1.17
% 2.01/1.17
% 2.01/1.17 ------
% 2.01/1.17 Current options:
% 2.01/1.17 ------
% 2.01/1.17
% 2.01/1.17
% 2.01/1.17
% 2.01/1.17
% 2.01/1.17 ------ Proving...
% 2.01/1.17
% 2.01/1.17
% 2.01/1.17 % SZS status Theorem for theBenchmark.p
% 2.01/1.17
% 2.01/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.01/1.17
% 2.01/1.17
%------------------------------------------------------------------------------