TSTP Solution File: NUM605+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM605+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n102.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 : Mon Jan 8 15:21:58 EST 2018
% Result : Theorem 0.31s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 173 ( 15 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 223 ( 89 ~; 96 |; 34 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(11,axiom,
( aSet0(xO)
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',m__4891) ).
fof(15,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',mZeroNum) ).
fof(18,conjecture,
~ equal(xQ,slcrc0),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',m__) ).
fof(39,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> equal(sbrdtbr0(slbdtrb0(X1)),X1) ),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',mCardSeg) ).
fof(52,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',mDefSel) ).
fof(54,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',m__3418) ).
fof(62,axiom,
equal(slbdtrb0(sz00),slcrc0),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',mSegZero) ).
fof(68,axiom,
~ equal(xK,sz00),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',m__3462) ).
fof(92,axiom,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1',m__5078) ).
fof(101,negated_conjecture,
~ ~ equal(xQ,slcrc0),
inference(assume_negation,[status(cth)],[18]) ).
fof(103,negated_conjecture,
equal(xQ,slcrc0),
inference(fof_simplification,[status(thm)],[101,theory(equality)]) ).
cnf(167,plain,
aSet0(xO),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(186,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(197,negated_conjecture,
xQ = slcrc0,
inference(split_conjunct,[status(thm)],[103]) ).
fof(291,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| equal(sbrdtbr0(slbdtrb0(X1)),X1) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(292,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| equal(sbrdtbr0(slbdtrb0(X2)),X2) ),
inference(variable_rename,[status(thm)],[291]) ).
cnf(293,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[292]) ).
fof(356,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(357,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[356]) ).
fof(358,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[357]) ).
fof(359,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk17_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[358]) ).
fof(360,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk17_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk17_3(X5,X6,X7),X5)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk17_3(X5,X6,X7)),X6)
| aElementOf0(esk17_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[359]) ).
cnf(366,plain,
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[360]) ).
cnf(371,plain,
aElementOf0(xK,szNzAzT0),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(409,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[62]) ).
cnf(429,plain,
xK != sz00,
inference(split_conjunct,[status(thm)],[68]) ).
cnf(522,plain,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(567,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xO,xK)),
inference(rw,[status(thm)],[522,197,theory(equality)]) ).
cnf(603,plain,
( sbrdtbr0(slcrc0) = sz00
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(spm,[status(thm)],[293,409,theory(equality)]) ).
cnf(607,plain,
( sbrdtbr0(slcrc0) = sz00
| $false ),
inference(rw,[status(thm)],[603,186,theory(equality)]) ).
cnf(608,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[607,theory(equality)]) ).
cnf(970,plain,
( sbrdtbr0(X1) = X2
| ~ aSet0(X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2)) ),
inference(er,[status(thm)],[366,theory(equality)]) ).
cnf(8027,plain,
( sbrdtbr0(slcrc0) = xK
| ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(spm,[status(thm)],[970,567,theory(equality)]) ).
cnf(8044,plain,
( sz00 = xK
| ~ aSet0(xO)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[8027,608,theory(equality)]) ).
cnf(8045,plain,
( sz00 = xK
| $false
| ~ aElementOf0(xK,szNzAzT0) ),
inference(rw,[status(thm)],[8044,167,theory(equality)]) ).
cnf(8046,plain,
( sz00 = xK
| $false
| $false ),
inference(rw,[status(thm)],[8045,371,theory(equality)]) ).
cnf(8047,plain,
sz00 = xK,
inference(cn,[status(thm)],[8046,theory(equality)]) ).
cnf(8048,plain,
$false,
inference(sr,[status(thm)],[8047,429,theory(equality)]) ).
cnf(8049,plain,
$false,
8048,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM605+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n102.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 10:26:30 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.31/0.59 -running prover on /export/starexec/sandbox/tmp/tmpf3mrPk/sel_theBenchmark.p_1 with time limit 29
% 0.31/0.59 -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/tmpf3mrPk/sel_theBenchmark.p_1']
% 0.31/0.59 -prover status Theorem
% 0.31/0.59 Problem theBenchmark.p solved in phase 0.
% 0.31/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.59 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.59 Solved 1 out of 1.
% 0.31/0.59 # Problem is unsatisfiable (or provable), constructing proof object
% 0.31/0.59 # SZS status Theorem
% 0.31/0.59 # SZS output start CNFRefutation.
% See solution above
% 0.31/0.60 # SZS output end CNFRefutation
%------------------------------------------------------------------------------