%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEV517+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n189.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 14:44:23 EST 2019
% Result : Theorem 0.46s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 298 ( 2 equ)
% Maximal formula atoms : 105 ( 7 avg)
% Number of connectives : 385 ( 129 ~; 156 |; 90 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 124 ( 2 sgn 79 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> equal(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmpt2XtBF/sel_theBenchmark.p_1',singleton) ).
fof(4,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3] :
( member(X3,X1)
=> subset(X3,X4) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X3)
& member(X6,X5) )
=> equal(X3,X5) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpt2XtBF/sel_theBenchmark.p_1',partition) ).
fof(5,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmpt2XtBF/sel_theBenchmark.p_1',difference) ).
fof(6,conjecture,
! [X3,X1,X2,X7] :
( ( member(X3,difference(X1,X2))
& partition(X7,X1) )
=> ? [X8] :
( member(X8,difference(X7,singleton(X2)))
& member(X3,X8) ) ),
file('/export/starexec/sandbox/tmp/tmpt2XtBF/sel_theBenchmark.p_1',diff_elem_in_partition) ).
fof(10,negated_conjecture,
~ ! [X3,X1,X2,X7] :
( ( member(X3,difference(X1,X2))
& partition(X7,X1) )
=> ? [X8] :
( member(X8,difference(X7,singleton(X2)))
& member(X3,X8) ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(11,plain,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(26,plain,
! [X3,X1] :
( ( ~ member(X3,singleton(X1))
| equal(X3,X1) )
& ( ~ equal(X3,X1)
| member(X3,singleton(X1)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(27,plain,
! [X4,X5] :
( ( ~ member(X4,singleton(X5))
| equal(X4,X5) )
& ( ~ equal(X4,X5)
| member(X4,singleton(X5)) ) ),
inference(variable_rename,[status(thm)],[26]) ).
cnf(29,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[27]) ).
fof(30,plain,
! [X1,X4] :
( ( ~ partition(X1,X4)
| ( ! [X3] :
( ~ member(X3,X1)
| subset(X3,X4) )
& ! [X3] :
( ~ member(X3,X4)
| ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ~ member(X3,X1)
| ~ member(X5,X1)
| ! [X6] :
( ~ member(X6,X3)
| ~ member(X6,X5) )
| equal(X3,X5) ) ) )
& ( ? [X3] :
( member(X3,X1)
& ~ subset(X3,X4) )
| ? [X3] :
( member(X3,X4)
& ! [X5] :
( ~ member(X5,X1)
| ~ member(X3,X5) ) )
| ? [X3,X5] :
( member(X3,X1)
& member(X5,X1)
& ? [X6] :
( member(X6,X3)
& member(X6,X5) )
& ~ equal(X3,X5) )
| partition(X1,X4) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(31,plain,
! [X7,X8] :
( ( ~ partition(X7,X8)
| ( ! [X9] :
( ~ member(X9,X7)
| subset(X9,X8) )
& ! [X10] :
( ~ member(X10,X8)
| ? [X11] :
( member(X11,X7)
& member(X10,X11) ) )
& ! [X12,X13] :
( ~ member(X12,X7)
| ~ member(X13,X7)
| ! [X14] :
( ~ member(X14,X12)
| ~ member(X14,X13) )
| equal(X12,X13) ) ) )
& ( ? [X15] :
( member(X15,X7)
& ~ subset(X15,X8) )
| ? [X16] :
( member(X16,X8)
& ! [X17] :
( ~ member(X17,X7)
| ~ member(X16,X17) ) )
| ? [X18,X19] :
( member(X18,X7)
& member(X19,X7)
& ? [X20] :
( member(X20,X18)
& member(X20,X19) )
& ~ equal(X18,X19) )
| partition(X7,X8) ) ),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,plain,
! [X7,X8] :
( ( ~ partition(X7,X8)
| ( ! [X9] :
( ~ member(X9,X7)
| subset(X9,X8) )
& ! [X10] :
( ~ member(X10,X8)
| ( member(esk2_3(X7,X8,X10),X7)
& member(X10,esk2_3(X7,X8,X10)) ) )
& ! [X12,X13] :
( ~ member(X12,X7)
| ~ member(X13,X7)
| ! [X14] :
( ~ member(X14,X12)
| ~ member(X14,X13) )
| equal(X12,X13) ) ) )
& ( ( member(esk3_2(X7,X8),X7)
& ~ subset(esk3_2(X7,X8),X8) )
| ( member(esk4_2(X7,X8),X8)
& ! [X17] :
( ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17) ) )
| ( member(esk5_2(X7,X8),X7)
& member(esk6_2(X7,X8),X7)
& member(esk7_2(X7,X8),esk5_2(X7,X8))
& member(esk7_2(X7,X8),esk6_2(X7,X8))
& ~ equal(esk5_2(X7,X8),esk6_2(X7,X8)) )
| partition(X7,X8) ) ),
inference(skolemize,[status(esa)],[31]) ).
fof(33,plain,
! [X7,X8,X9,X10,X12,X13,X14,X17] :
( ( ( ( ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17) )
& member(esk4_2(X7,X8),X8) )
| ( member(esk3_2(X7,X8),X7)
& ~ subset(esk3_2(X7,X8),X8) )
| ( member(esk5_2(X7,X8),X7)
& member(esk6_2(X7,X8),X7)
& member(esk7_2(X7,X8),esk5_2(X7,X8))
& member(esk7_2(X7,X8),esk6_2(X7,X8))
& ~ equal(esk5_2(X7,X8),esk6_2(X7,X8)) )
| partition(X7,X8) )
& ( ( ( ~ member(X14,X12)
| ~ member(X14,X13)
| equal(X12,X13)
| ~ member(X12,X7)
| ~ member(X13,X7) )
& ( ~ member(X10,X8)
| ( member(esk2_3(X7,X8,X10),X7)
& member(X10,esk2_3(X7,X8,X10)) ) )
& ( ~ member(X9,X7)
| subset(X9,X8) ) )
| ~ partition(X7,X8) ) ),
inference(shift_quantors,[status(thm)],[32]) ).
fof(34,plain,
! [X7,X8,X9,X10,X12,X13,X14,X17] :
( ( member(esk5_2(X7,X8),X7)
| member(esk3_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk6_2(X7,X8),X7)
| member(esk3_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk5_2(X7,X8))
| member(esk3_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk3_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( ~ equal(esk5_2(X7,X8),esk6_2(X7,X8))
| member(esk3_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk5_2(X7,X8),X7)
| ~ subset(esk3_2(X7,X8),X8)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk6_2(X7,X8),X7)
| ~ subset(esk3_2(X7,X8),X8)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk5_2(X7,X8))
| ~ subset(esk3_2(X7,X8),X8)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk6_2(X7,X8))
| ~ subset(esk3_2(X7,X8),X8)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( ~ equal(esk5_2(X7,X8),esk6_2(X7,X8))
| ~ subset(esk3_2(X7,X8),X8)
| ~ member(X17,X7)
| ~ member(esk4_2(X7,X8),X17)
| partition(X7,X8) )
& ( member(esk5_2(X7,X8),X7)
| member(esk3_2(X7,X8),X7)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk6_2(X7,X8),X7)
| member(esk3_2(X7,X8),X7)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk5_2(X7,X8))
| member(esk3_2(X7,X8),X7)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk6_2(X7,X8))
| member(esk3_2(X7,X8),X7)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( ~ equal(esk5_2(X7,X8),esk6_2(X7,X8))
| member(esk3_2(X7,X8),X7)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk5_2(X7,X8),X7)
| ~ subset(esk3_2(X7,X8),X8)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk6_2(X7,X8),X7)
| ~ subset(esk3_2(X7,X8),X8)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk5_2(X7,X8))
| ~ subset(esk3_2(X7,X8),X8)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk7_2(X7,X8),esk6_2(X7,X8))
| ~ subset(esk3_2(X7,X8),X8)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( ~ equal(esk5_2(X7,X8),esk6_2(X7,X8))
| ~ subset(esk3_2(X7,X8),X8)
| member(esk4_2(X7,X8),X8)
| partition(X7,X8) )
& ( ~ member(X14,X12)
| ~ member(X14,X13)
| equal(X12,X13)
| ~ member(X12,X7)
| ~ member(X13,X7)
| ~ partition(X7,X8) )
& ( member(esk2_3(X7,X8,X10),X7)
| ~ member(X10,X8)
| ~ partition(X7,X8) )
& ( member(X10,esk2_3(X7,X8,X10))
| ~ member(X10,X8)
| ~ partition(X7,X8) )
& ( ~ member(X9,X7)
| subset(X9,X8)
| ~ partition(X7,X8) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(36,plain,
( member(X3,esk2_3(X1,X2,X3))
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
cnf(37,plain,
( member(esk2_3(X1,X2,X3),X1)
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(59,plain,
! [X2,X1,X4] :
( ( ~ member(X2,difference(X4,X1))
| ( member(X2,X4)
& ~ member(X2,X1) ) )
& ( ~ member(X2,X4)
| member(X2,X1)
| member(X2,difference(X4,X1)) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(60,plain,
! [X5,X6,X7] :
( ( ~ member(X5,difference(X7,X6))
| ( member(X5,X7)
& ~ member(X5,X6) ) )
& ( ~ member(X5,X7)
| member(X5,X6)
| member(X5,difference(X7,X6)) ) ),
inference(variable_rename,[status(thm)],[59]) ).
fof(61,plain,
! [X5,X6,X7] :
( ( member(X5,X7)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X6)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X7)
| member(X5,X6)
| member(X5,difference(X7,X6)) ) ),
inference(distribute,[status(thm)],[60]) ).
cnf(62,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(63,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(64,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[61]) ).
fof(65,negated_conjecture,
? [X3,X1,X2,X7] :
( member(X3,difference(X1,X2))
& partition(X7,X1)
& ! [X8] :
( ~ member(X8,difference(X7,singleton(X2)))
| ~ member(X3,X8) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(66,negated_conjecture,
? [X9,X10,X11,X12] :
( member(X9,difference(X10,X11))
& partition(X12,X10)
& ! [X13] :
( ~ member(X13,difference(X12,singleton(X11)))
| ~ member(X9,X13) ) ),
inference(variable_rename,[status(thm)],[65]) ).
fof(67,negated_conjecture,
( member(esk8_0,difference(esk9_0,esk10_0))
& partition(esk11_0,esk9_0)
& ! [X13] :
( ~ member(X13,difference(esk11_0,singleton(esk10_0)))
| ~ member(esk8_0,X13) ) ),
inference(skolemize,[status(esa)],[66]) ).
fof(68,negated_conjecture,
! [X13] :
( ( ~ member(X13,difference(esk11_0,singleton(esk10_0)))
| ~ member(esk8_0,X13) )
& member(esk8_0,difference(esk9_0,esk10_0))
& partition(esk11_0,esk9_0) ),
inference(shift_quantors,[status(thm)],[67]) ).
cnf(69,negated_conjecture,
partition(esk11_0,esk9_0),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(70,negated_conjecture,
member(esk8_0,difference(esk9_0,esk10_0)),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(71,negated_conjecture,
( ~ member(esk8_0,X1)
| ~ member(X1,difference(esk11_0,singleton(esk10_0))) ),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(102,negated_conjecture,
member(esk8_0,esk9_0),
inference(spm,[status(thm)],[64,70,theory(equality)]) ).
cnf(104,negated_conjecture,
~ member(esk8_0,esk10_0),
inference(spm,[status(thm)],[63,70,theory(equality)]) ).
cnf(111,negated_conjecture,
( member(X1,esk2_3(esk11_0,esk9_0,X1))
| ~ member(X1,esk9_0) ),
inference(spm,[status(thm)],[36,69,theory(equality)]) ).
cnf(113,negated_conjecture,
( member(esk2_3(esk11_0,esk9_0,X1),esk11_0)
| ~ member(X1,esk9_0) ),
inference(spm,[status(thm)],[37,69,theory(equality)]) ).
cnf(344,negated_conjecture,
member(esk2_3(esk11_0,esk9_0,esk8_0),esk11_0),
inference(spm,[status(thm)],[113,102,theory(equality)]) ).
cnf(351,negated_conjecture,
( member(esk2_3(esk11_0,esk9_0,esk8_0),difference(esk11_0,X1))
| member(esk2_3(esk11_0,esk9_0,esk8_0),X1) ),
inference(spm,[status(thm)],[62,344,theory(equality)]) ).
cnf(565,negated_conjecture,
member(esk8_0,esk2_3(esk11_0,esk9_0,esk8_0)),
inference(spm,[status(thm)],[111,102,theory(equality)]) ).
cnf(572,negated_conjecture,
~ member(esk2_3(esk11_0,esk9_0,esk8_0),difference(esk11_0,singleton(esk10_0))),
inference(spm,[status(thm)],[71,565,theory(equality)]) ).
cnf(7811,negated_conjecture,
member(esk2_3(esk11_0,esk9_0,esk8_0),singleton(esk10_0)),
inference(spm,[status(thm)],[572,351,theory(equality)]) ).
cnf(7825,negated_conjecture,
esk2_3(esk11_0,esk9_0,esk8_0) = esk10_0,
inference(spm,[status(thm)],[29,7811,theory(equality)]) ).
cnf(7921,negated_conjecture,
member(esk8_0,esk10_0),
inference(rw,[status(thm)],[565,7825,theory(equality)]) ).
cnf(7922,negated_conjecture,
$false,
inference(sr,[status(thm)],[7921,104,theory(equality)]) ).
cnf(7923,negated_conjecture,
$false,
7922,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV517+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.27 % Computer : n189.star.cs.uiowa.edu
% 0.03/0.27 % Model : x86_64 x86_64
% 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.27 % Memory : 32218.5MB
% 0.03/0.27 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.27 % CPULimit : 300
% 0.03/0.27 % DateTime : Sun Feb 24 22:13:14 CST 2019
% 0.03/0.27 % CPUTime :
% 0.08/0.31 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.31 --creating new selector for [SET006+2.ax, SET006+0.ax]
% 0.46/0.72 -running prover on /export/starexec/sandbox/tmp/tmpt2XtBF/sel_theBenchmark.p_1 with time limit 29
% 0.46/0.72 -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/tmpt2XtBF/sel_theBenchmark.p_1']
% 0.46/0.72 -prover status Theorem
% 0.46/0.72 Problem theBenchmark.p solved in phase 0.
% 0.46/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.72 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.72 Solved 1 out of 1.
% 0.46/0.72 # Problem is unsatisfiable (or provable), constructing proof object
% 0.46/0.72 # SZS status Theorem
% 0.46/0.72 # SZS output start CNFRefutation.
% See solution above
% 0.46/0.72 # SZS output end CNFRefutation
%------------------------------------------------------------------------------