TSTP Solution File: PHI014+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PHI014+1 : TPTP v7.2.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n113.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Tue May 29 12:48:21 EDT 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 10 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 301 ( 121 ~; 127 |; 42 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 73 ( 6 sgn 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( is_the(X1,X2)
=> ( property(X2)
& object(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1',description_is_property_and_described_is_object) ).
fof(2,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1',definition_god) ).
fof(3,axiom,
! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
<=> ( exemplifies_property(conceivable,X1)
& ~ ? [X3] :
( object(X3)
& exemplifies_relation(greater_than,X3,X1)
& exemplifies_property(conceivable,X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1',definition_none_greater) ).
fof(4,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1',god_exists) ).
fof(5,axiom,
! [X2] :
( property(X2)
=> ( ? [X3] :
( object(X3)
& is_the(X3,X2) )
=> ! [X4] :
( object(X4)
=> ( is_the(X4,X2)
=> exemplifies_property(X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1',description_theorem_2) ).
fof(6,axiom,
! [X1] :
( object(X1)
=> ( ( is_the(X1,none_greater)
& ~ exemplifies_property(existence,X1) )
=> ? [X3] :
( object(X3)
& exemplifies_relation(greater_than,X3,X1)
& exemplifies_property(conceivable,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1',premise_2) ).
fof(7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(assume_negation,[status(cth)],[4]) ).
fof(8,negated_conjecture,
~ exemplifies_property(existence,god),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(9,plain,
! [X1] :
( object(X1)
=> ( ( is_the(X1,none_greater)
& ~ exemplifies_property(existence,X1) )
=> ? [X3] :
( object(X3)
& exemplifies_relation(greater_than,X3,X1)
& exemplifies_property(conceivable,X3) ) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(10,plain,
! [X1,X2] :
( ~ is_the(X1,X2)
| ( property(X2)
& object(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(11,plain,
! [X3,X4] :
( ~ is_the(X3,X4)
| ( property(X4)
& object(X3) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X3,X4] :
( ( property(X4)
| ~ is_the(X3,X4) )
& ( object(X3)
| ~ is_the(X3,X4) ) ),
inference(distribute,[status(thm)],[11]) ).
cnf(13,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
( property(X2)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
is_the(god,none_greater),
inference(split_conjunct,[status(thm)],[2]) ).
fof(16,plain,
! [X1] :
( ~ object(X1)
| ( ( ~ exemplifies_property(none_greater,X1)
| ( exemplifies_property(conceivable,X1)
& ! [X3] :
( ~ object(X3)
| ~ exemplifies_relation(greater_than,X3,X1)
| ~ exemplifies_property(conceivable,X3) ) ) )
& ( ~ exemplifies_property(conceivable,X1)
| ? [X3] :
( object(X3)
& exemplifies_relation(greater_than,X3,X1)
& exemplifies_property(conceivable,X3) )
| exemplifies_property(none_greater,X1) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(17,plain,
! [X4] :
( ~ object(X4)
| ( ( ~ exemplifies_property(none_greater,X4)
| ( exemplifies_property(conceivable,X4)
& ! [X5] :
( ~ object(X5)
| ~ exemplifies_relation(greater_than,X5,X4)
| ~ exemplifies_property(conceivable,X5) ) ) )
& ( ~ exemplifies_property(conceivable,X4)
| ? [X6] :
( object(X6)
& exemplifies_relation(greater_than,X6,X4)
& exemplifies_property(conceivable,X6) )
| exemplifies_property(none_greater,X4) ) ) ),
inference(variable_rename,[status(thm)],[16]) ).
fof(18,plain,
! [X4] :
( ~ object(X4)
| ( ( ~ exemplifies_property(none_greater,X4)
| ( exemplifies_property(conceivable,X4)
& ! [X5] :
( ~ object(X5)
| ~ exemplifies_relation(greater_than,X5,X4)
| ~ exemplifies_property(conceivable,X5) ) ) )
& ( ~ exemplifies_property(conceivable,X4)
| ( object(esk1_1(X4))
& exemplifies_relation(greater_than,esk1_1(X4),X4)
& exemplifies_property(conceivable,esk1_1(X4)) )
| exemplifies_property(none_greater,X4) ) ) ),
inference(skolemize,[status(esa)],[17]) ).
fof(19,plain,
! [X4,X5] :
( ( ( ( ( ~ object(X5)
| ~ exemplifies_relation(greater_than,X5,X4)
| ~ exemplifies_property(conceivable,X5) )
& exemplifies_property(conceivable,X4) )
| ~ exemplifies_property(none_greater,X4) )
& ( ~ exemplifies_property(conceivable,X4)
| ( object(esk1_1(X4))
& exemplifies_relation(greater_than,esk1_1(X4),X4)
& exemplifies_property(conceivable,esk1_1(X4)) )
| exemplifies_property(none_greater,X4) ) )
| ~ object(X4) ),
inference(shift_quantors,[status(thm)],[18]) ).
fof(20,plain,
! [X4,X5] :
( ( ~ object(X5)
| ~ exemplifies_relation(greater_than,X5,X4)
| ~ exemplifies_property(conceivable,X5)
| ~ exemplifies_property(none_greater,X4)
| ~ object(X4) )
& ( exemplifies_property(conceivable,X4)
| ~ exemplifies_property(none_greater,X4)
| ~ object(X4) )
& ( object(esk1_1(X4))
| ~ exemplifies_property(conceivable,X4)
| exemplifies_property(none_greater,X4)
| ~ object(X4) )
& ( exemplifies_relation(greater_than,esk1_1(X4),X4)
| ~ exemplifies_property(conceivable,X4)
| exemplifies_property(none_greater,X4)
| ~ object(X4) )
& ( exemplifies_property(conceivable,esk1_1(X4))
| ~ exemplifies_property(conceivable,X4)
| exemplifies_property(none_greater,X4)
| ~ object(X4) ) ),
inference(distribute,[status(thm)],[19]) ).
cnf(25,plain,
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(26,negated_conjecture,
~ exemplifies_property(existence,god),
inference(split_conjunct,[status(thm)],[8]) ).
fof(27,plain,
! [X2] :
( ~ property(X2)
| ! [X3] :
( ~ object(X3)
| ~ is_the(X3,X2) )
| ! [X4] :
( ~ object(X4)
| ~ is_the(X4,X2)
| exemplifies_property(X2,X4) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(28,plain,
! [X5] :
( ~ property(X5)
| ! [X6] :
( ~ object(X6)
| ~ is_the(X6,X5) )
| ! [X7] :
( ~ object(X7)
| ~ is_the(X7,X5)
| exemplifies_property(X5,X7) ) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(29,plain,
! [X5,X6,X7] :
( ~ object(X7)
| ~ is_the(X7,X5)
| exemplifies_property(X5,X7)
| ~ object(X6)
| ~ is_the(X6,X5)
| ~ property(X5) ),
inference(shift_quantors,[status(thm)],[28]) ).
cnf(30,plain,
( exemplifies_property(X1,X3)
| ~ property(X1)
| ~ is_the(X2,X1)
| ~ object(X2)
| ~ is_the(X3,X1)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,plain,
! [X1] :
( ~ object(X1)
| ~ is_the(X1,none_greater)
| exemplifies_property(existence,X1)
| ? [X3] :
( object(X3)
& exemplifies_relation(greater_than,X3,X1)
& exemplifies_property(conceivable,X3) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(32,plain,
! [X4] :
( ~ object(X4)
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ? [X5] :
( object(X5)
& exemplifies_relation(greater_than,X5,X4)
& exemplifies_property(conceivable,X5) ) ),
inference(variable_rename,[status(thm)],[31]) ).
fof(33,plain,
! [X4] :
( ~ object(X4)
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ( object(esk2_1(X4))
& exemplifies_relation(greater_than,esk2_1(X4),X4)
& exemplifies_property(conceivable,esk2_1(X4)) ) ),
inference(skolemize,[status(esa)],[32]) ).
fof(34,plain,
! [X4] :
( ( object(esk2_1(X4))
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ~ object(X4) )
& ( exemplifies_relation(greater_than,esk2_1(X4),X4)
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ~ object(X4) )
& ( exemplifies_property(conceivable,esk2_1(X4))
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ~ object(X4) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(35,plain,
( exemplifies_property(existence,X1)
| exemplifies_property(conceivable,esk2_1(X1))
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(36,plain,
( exemplifies_property(existence,X1)
| exemplifies_relation(greater_than,esk2_1(X1),X1)
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(37,plain,
( exemplifies_property(existence,X1)
| object(esk2_1(X1))
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(41,plain,
( exemplifies_property(existence,X1)
| object(esk2_1(X1))
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[37,13]) ).
cnf(43,plain,
( exemplifies_property(conceivable,esk2_1(X1))
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[35,13]) ).
cnf(44,plain,
( exemplifies_relation(greater_than,esk2_1(X1),X1)
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[36,13]) ).
cnf(46,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,esk2_1(X1))
| ~ object(esk2_1(X1))
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(spm,[status(thm)],[25,44,theory(equality)]) ).
cnf(47,plain,
( exemplifies_property(X1,X3)
| ~ object(X3)
| ~ property(X1)
| ~ is_the(X3,X1)
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[30,13]) ).
cnf(48,plain,
( exemplifies_property(X1,X3)
| ~ property(X1)
| ~ is_the(X3,X1)
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[47,13]) ).
cnf(49,plain,
( exemplifies_property(X1,X3)
| ~ is_the(X3,X1)
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[48,14]) ).
cnf(50,plain,
( exemplifies_property(none_greater,god)
| ~ is_the(X1,none_greater) ),
inference(spm,[status(thm)],[49,15,theory(equality)]) ).
cnf(52,plain,
exemplifies_property(none_greater,god),
inference(spm,[status(thm)],[50,15,theory(equality)]) ).
cnf(54,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(conceivable,esk2_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(esk2_1(X1))
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[46,13]) ).
cnf(55,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(conceivable,esk2_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[54,41]) ).
cnf(56,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[55,43]) ).
cnf(57,plain,
( exemplifies_property(existence,god)
| ~ exemplifies_property(none_greater,god) ),
inference(spm,[status(thm)],[56,15,theory(equality)]) ).
cnf(58,plain,
~ exemplifies_property(none_greater,god),
inference(sr,[status(thm)],[57,26,theory(equality)]) ).
cnf(59,plain,
$false,
inference(sr,[status(thm)],[52,58,theory(equality)]) ).
cnf(60,plain,
$false,
59,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI014+1 : TPTP v7.2.0. Released v7.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n113.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Tue May 29 11:18:29 CDT 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.07/0.37 -running prover on /export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.37 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp0udYBP/sel_theBenchmark.p_1']
% 0.07/0.37 -prover status Theorem
% 0.07/0.37 Problem theBenchmark.p solved in phase 0.
% 0.07/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 Solved 1 out of 1.
% 0.07/0.37 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.37 # SZS status Theorem
% 0.07/0.37 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.37 # SZS output end CNFRefutation
%------------------------------------------------------------------------------