TSTP Solution File: PHI013+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : PHI013+1 : TPTP v7.2.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n040.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 12:48:20 EDT 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 17 unt; 0 def)
% Number of atoms : 317 ( 7 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 402 ( 160 ~; 170 |; 58 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 96 ( 6 sgn 47 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( is_the(X1,X2)
=> ( property(X2)
& object(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpBwwGJS/sel_theBenchmark.p_1',description_is_property_and_described_is_object) ).
fof(2,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/tmp/tmpBwwGJS/sel_theBenchmark.p_1',definition_god) ).
fof(3,axiom,
( ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X3] :
( object(X3)
=> ( exemplifies_property(none_greater,X3)
=> equal(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpBwwGJS/sel_theBenchmark.p_1',lemma_2) ).
fof(4,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/tmpBwwGJS/sel_theBenchmark.p_1',definition_none_greater) ).
fof(5,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/tmp/tmpBwwGJS/sel_theBenchmark.p_1',god_exists) ).
fof(6,axiom,
? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1) ),
file('/export/starexec/sandbox2/tmp/tmpBwwGJS/sel_theBenchmark.p_1',premise_1) ).
fof(7,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/tmpBwwGJS/sel_theBenchmark.p_1',description_theorem_2) ).
fof(9,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/tmpBwwGJS/sel_theBenchmark.p_1',premise_2) ).
fof(10,negated_conjecture,
~ exemplifies_property(existence,god),
inference(assume_negation,[status(cth)],[5]) ).
fof(11,negated_conjecture,
~ exemplifies_property(existence,god),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(12,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)],[9,theory(equality)]) ).
fof(13,plain,
! [X1,X2] :
( ~ is_the(X1,X2)
| ( property(X2)
& object(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(14,plain,
! [X3,X4] :
( ~ is_the(X3,X4)
| ( property(X4)
& object(X3) ) ),
inference(variable_rename,[status(thm)],[13]) ).
fof(15,plain,
! [X3,X4] :
( ( property(X4)
| ~ is_the(X3,X4) )
& ( object(X3)
| ~ is_the(X3,X4) ) ),
inference(distribute,[status(thm)],[14]) ).
cnf(16,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(17,plain,
( property(X2)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(18,plain,
is_the(god,none_greater),
inference(split_conjunct,[status(thm)],[2]) ).
fof(19,plain,
( ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1) )
| ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X3] :
( ~ object(X3)
| ~ exemplifies_property(none_greater,X3)
| equal(X3,X1) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(20,plain,
( ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
| ? [X5] :
( object(X5)
& exemplifies_property(none_greater,X5)
& ! [X6] :
( ~ object(X6)
| ~ exemplifies_property(none_greater,X6)
| equal(X6,X5) ) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
( ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
| ( object(esk1_0)
& exemplifies_property(none_greater,esk1_0)
& ! [X6] :
( ~ object(X6)
| ~ exemplifies_property(none_greater,X6)
| equal(X6,esk1_0) ) ) ),
inference(skolemize,[status(esa)],[20]) ).
fof(22,plain,
! [X4,X6] :
( ( ( ~ object(X6)
| ~ exemplifies_property(none_greater,X6)
| equal(X6,esk1_0) )
& object(esk1_0)
& exemplifies_property(none_greater,esk1_0) )
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) ),
inference(shift_quantors,[status(thm)],[21]) ).
fof(23,plain,
! [X4,X6] :
( ( ~ object(X6)
| ~ exemplifies_property(none_greater,X6)
| equal(X6,esk1_0)
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& ( object(esk1_0)
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) )
& ( exemplifies_property(none_greater,esk1_0)
| ~ object(X4)
| ~ exemplifies_property(none_greater,X4) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(24,plain,
( exemplifies_property(none_greater,esk1_0)
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(26,plain,
( X2 = esk1_0
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| ~ exemplifies_property(none_greater,X2)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(27,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)],[4]) ).
fof(28,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)],[27]) ).
fof(29,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(esk2_1(X4))
& exemplifies_relation(greater_than,esk2_1(X4),X4)
& exemplifies_property(conceivable,esk2_1(X4)) )
| exemplifies_property(none_greater,X4) ) ) ),
inference(skolemize,[status(esa)],[28]) ).
fof(30,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(esk2_1(X4))
& exemplifies_relation(greater_than,esk2_1(X4),X4)
& exemplifies_property(conceivable,esk2_1(X4)) )
| exemplifies_property(none_greater,X4) ) )
| ~ object(X4) ),
inference(shift_quantors,[status(thm)],[29]) ).
fof(31,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(esk2_1(X4))
| ~ exemplifies_property(conceivable,X4)
| exemplifies_property(none_greater,X4)
| ~ object(X4) )
& ( exemplifies_relation(greater_than,esk2_1(X4),X4)
| ~ exemplifies_property(conceivable,X4)
| exemplifies_property(none_greater,X4)
| ~ object(X4) )
& ( exemplifies_property(conceivable,esk2_1(X4))
| ~ exemplifies_property(conceivable,X4)
| exemplifies_property(none_greater,X4)
| ~ object(X4) ) ),
inference(distribute,[status(thm)],[30]) ).
cnf(36,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)],[31]) ).
cnf(37,negated_conjecture,
~ exemplifies_property(existence,god),
inference(split_conjunct,[status(thm)],[11]) ).
fof(38,plain,
? [X2] :
( object(X2)
& exemplifies_property(none_greater,X2) ),
inference(variable_rename,[status(thm)],[6]) ).
fof(39,plain,
( object(esk3_0)
& exemplifies_property(none_greater,esk3_0) ),
inference(skolemize,[status(esa)],[38]) ).
cnf(40,plain,
exemplifies_property(none_greater,esk3_0),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,plain,
object(esk3_0),
inference(split_conjunct,[status(thm)],[39]) ).
fof(42,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)],[7]) ).
fof(43,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)],[42]) ).
fof(44,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)],[43]) ).
cnf(45,plain,
( exemplifies_property(X1,X3)
| ~ property(X1)
| ~ is_the(X2,X1)
| ~ object(X2)
| ~ is_the(X3,X1)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(57,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)],[12]) ).
fof(58,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)],[57]) ).
fof(59,plain,
! [X4] :
( ~ object(X4)
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ( object(esk6_1(X4))
& exemplifies_relation(greater_than,esk6_1(X4),X4)
& exemplifies_property(conceivable,esk6_1(X4)) ) ),
inference(skolemize,[status(esa)],[58]) ).
fof(60,plain,
! [X4] :
( ( object(esk6_1(X4))
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ~ object(X4) )
& ( exemplifies_relation(greater_than,esk6_1(X4),X4)
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ~ object(X4) )
& ( exemplifies_property(conceivable,esk6_1(X4))
| ~ is_the(X4,none_greater)
| exemplifies_property(existence,X4)
| ~ object(X4) ) ),
inference(distribute,[status(thm)],[59]) ).
cnf(61,plain,
( exemplifies_property(existence,X1)
| exemplifies_property(conceivable,esk6_1(X1))
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
( exemplifies_property(existence,X1)
| exemplifies_relation(greater_than,esk6_1(X1),X1)
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(63,plain,
( exemplifies_property(existence,X1)
| object(esk6_1(X1))
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(65,plain,
object(god),
inference(spm,[status(thm)],[16,18,theory(equality)]) ).
cnf(69,plain,
( exemplifies_property(none_greater,esk1_0)
| ~ object(esk3_0) ),
inference(spm,[status(thm)],[24,40,theory(equality)]) ).
cnf(70,plain,
( exemplifies_property(none_greater,esk1_0)
| $false ),
inference(rw,[status(thm)],[69,41,theory(equality)]) ).
cnf(71,plain,
exemplifies_property(none_greater,esk1_0),
inference(cn,[status(thm)],[70,theory(equality)]) ).
cnf(75,plain,
( exemplifies_property(existence,X1)
| object(esk6_1(X1))
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[63,16]) ).
cnf(76,plain,
( exemplifies_property(conceivable,esk6_1(X1))
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[61,16]) ).
cnf(77,plain,
( exemplifies_relation(greater_than,esk6_1(X1),X1)
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[62,16]) ).
cnf(78,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,esk6_1(X1))
| ~ object(esk6_1(X1))
| ~ object(X1)
| ~ is_the(X1,none_greater) ),
inference(spm,[status(thm)],[36,77,theory(equality)]) ).
cnf(80,plain,
( exemplifies_property(X1,X3)
| ~ object(X3)
| ~ property(X1)
| ~ is_the(X3,X1)
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[45,16]) ).
cnf(81,plain,
( exemplifies_property(X1,X3)
| ~ property(X1)
| ~ is_the(X3,X1)
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[80,16]) ).
cnf(82,plain,
( exemplifies_property(X1,X3)
| ~ is_the(X3,X1)
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[81,17]) ).
cnf(83,plain,
( exemplifies_property(none_greater,god)
| ~ is_the(X1,none_greater) ),
inference(spm,[status(thm)],[82,18,theory(equality)]) ).
cnf(111,plain,
exemplifies_property(none_greater,god),
inference(spm,[status(thm)],[83,18,theory(equality)]) ).
cnf(112,plain,
( esk1_0 = god
| ~ exemplifies_property(none_greater,X1)
| ~ object(god)
| ~ object(X1) ),
inference(spm,[status(thm)],[26,111,theory(equality)]) ).
cnf(116,plain,
( esk1_0 = god
| ~ exemplifies_property(none_greater,X1)
| $false
| ~ object(X1) ),
inference(rw,[status(thm)],[112,65,theory(equality)]) ).
cnf(117,plain,
( esk1_0 = god
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) ),
inference(cn,[status(thm)],[116,theory(equality)]) ).
cnf(124,plain,
( god = esk1_0
| ~ object(esk3_0) ),
inference(spm,[status(thm)],[117,40,theory(equality)]) ).
cnf(128,plain,
( god = esk1_0
| $false ),
inference(rw,[status(thm)],[124,41,theory(equality)]) ).
cnf(129,plain,
god = esk1_0,
inference(cn,[status(thm)],[128,theory(equality)]) ).
cnf(140,plain,
is_the(esk1_0,none_greater),
inference(rw,[status(thm)],[18,129,theory(equality)]) ).
cnf(141,negated_conjecture,
~ exemplifies_property(existence,esk1_0),
inference(rw,[status(thm)],[37,129,theory(equality)]) ).
cnf(181,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(conceivable,esk6_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ object(esk6_1(X1))
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[78,16]) ).
cnf(182,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(conceivable,esk6_1(X1))
| ~ exemplifies_property(none_greater,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[181,75]) ).
cnf(183,plain,
( exemplifies_property(existence,X1)
| ~ exemplifies_property(none_greater,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[182,76]) ).
cnf(184,plain,
( exemplifies_property(existence,esk1_0)
| ~ exemplifies_property(none_greater,esk1_0) ),
inference(spm,[status(thm)],[183,140,theory(equality)]) ).
cnf(187,plain,
( exemplifies_property(existence,esk1_0)
| $false ),
inference(rw,[status(thm)],[184,71,theory(equality)]) ).
cnf(188,plain,
exemplifies_property(existence,esk1_0),
inference(cn,[status(thm)],[187,theory(equality)]) ).
cnf(189,plain,
$false,
inference(sr,[status(thm)],[188,141,theory(equality)]) ).
cnf(190,plain,
$false,
189,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI013+1 : TPTP v7.2.0. Released v7.2.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n040.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Tue May 29 11:09:29 CDT 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.34 -running prover on /export/starexec/sandbox2/tmp/tmpBwwGJS/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.34 -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/tmpBwwGJS/sel_theBenchmark.p_1']
% 0.07/0.34 -prover status Theorem
% 0.07/0.34 Problem theBenchmark.p solved in phase 0.
% 0.07/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 Solved 1 out of 1.
% 0.07/0.34 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.34 # SZS status Theorem
% 0.07/0.34 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.35 # SZS output end CNFRefutation
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