TSTP Solution File: SET093+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET093+1 : TPTP v7.3.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n187.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:40:15 EST 2019
% Result : Theorem 185.49s
% Output : CNFRefutation 185.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 22 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X2] : equal(singleton(X2),unordered_pair(X2,X2)),
file('/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_4',singleton_set_defn) ).
fof(5,axiom,
! [X2,X3] : member(unordered_pair(X2,X3),universal_class),
file('/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_4',unordered_pair) ).
fof(9,conjecture,
! [X2] :
( equal(singleton(member_of(X2)),X2)
=> member(X2,universal_class) ),
file('/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_4',corollary_2_to_singletons_are_sets) ).
fof(11,negated_conjecture,
~ ! [X2] :
( equal(singleton(member_of(X2)),X2)
=> member(X2,universal_class) ),
inference(assume_negation,[status(cth)],[9]) ).
fof(21,plain,
! [X3] : equal(singleton(X3),unordered_pair(X3,X3)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(22,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[21]) ).
fof(29,plain,
! [X4,X5] : member(unordered_pair(X4,X5),universal_class),
inference(variable_rename,[status(thm)],[5]) ).
cnf(30,plain,
member(unordered_pair(X1,X2),universal_class),
inference(split_conjunct,[status(thm)],[29]) ).
fof(39,negated_conjecture,
? [X2] :
( equal(singleton(member_of(X2)),X2)
& ~ member(X2,universal_class) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(40,negated_conjecture,
? [X3] :
( equal(singleton(member_of(X3)),X3)
& ~ member(X3,universal_class) ),
inference(variable_rename,[status(thm)],[39]) ).
fof(41,negated_conjecture,
( equal(singleton(member_of(esk1_0)),esk1_0)
& ~ member(esk1_0,universal_class) ),
inference(skolemize,[status(esa)],[40]) ).
cnf(42,negated_conjecture,
~ member(esk1_0,universal_class),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(43,negated_conjecture,
singleton(member_of(esk1_0)) = esk1_0,
inference(split_conjunct,[status(thm)],[41]) ).
cnf(46,negated_conjecture,
unordered_pair(member_of(esk1_0),member_of(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[43,22,theory(equality)]),
[unfolding] ).
cnf(54,negated_conjecture,
member(esk1_0,universal_class),
inference(spm,[status(thm)],[30,46,theory(equality)]) ).
cnf(55,negated_conjecture,
$false,
inference(sr,[status(thm)],[54,42,theory(equality)]) ).
cnf(56,negated_conjecture,
$false,
55,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET093+1 : TPTP v7.3.0. Bugfixed v7.3.0.
% 0.00/0.06 % Command : sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n187.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.5MB
% 0.03/0.24 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Sun Feb 24 10:06:44 CST 2019
% 0.03/0.25 % CPUTime :
% 0.03/0.29 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 --creating new selector for [SET005+0.ax]
% 29.12/29.37 eprover: CPU time limit exceeded, terminating
% 110.19/110.92 eprover: CPU time limit exceeded, terminating
% 110.31/111.08 -running prover on /export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_1 with time limit 29
% 110.31/111.08 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_1']
% 110.31/111.08 -prover status ResourceOut
% 110.31/111.08 -running prover on /export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_2 with time limit 81
% 110.31/111.08 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_2']
% 110.31/111.08 -prover status ResourceOut
% 110.31/111.08 --creating new selector for [SET005+0.ax]
% 185.34/186.28 eprover: CPU time limit exceeded, terminating
% 185.44/186.47 -running prover on /export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_3 with time limit 75
% 185.44/186.47 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=75', '/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_3']
% 185.44/186.47 -prover status ResourceOut
% 185.44/186.47 --creating new selector for [SET005+0.ax]
% 185.49/186.56 -running prover on /export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_4 with time limit 56
% 185.49/186.56 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=56', '/export/starexec/sandbox/tmp/tmpG72THC/sel_theBenchmark.p_4']
% 185.49/186.56 -prover status Theorem
% 185.49/186.56 Problem theBenchmark.p solved in phase 3.
% 185.49/186.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 185.49/186.56 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 185.49/186.57 Solved 1 out of 1.
% 185.49/186.57 # Problem is unsatisfiable (or provable), constructing proof object
% 185.49/186.57 # SZS status Theorem
% 185.49/186.57 # SZS output start CNFRefutation.
% See solution above
% 185.49/186.57 # SZS output end CNFRefutation
%------------------------------------------------------------------------------