TSTP Solution File: NUM627+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM627+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n097.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 15:22:03 EST 2018
% Result : Theorem 93.92s
% Output : CNFRefutation 93.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 9 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 148 ( 60 ~; 53 |; 28 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(31,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',mSuccNum) ).
fof(52,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',mLessTotal) ).
fof(53,axiom,
~ ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',m__5442) ).
fof(69,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',m__3754) ).
fof(85,axiom,
( aElementOf0(xn,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd))
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& equal(sdtlpdtrp0(xe,xn),xp) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',m__5309) ).
fof(91,axiom,
~ ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
| aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',m__5461) ).
fof(100,axiom,
( aElementOf0(xm,szNzAzT0)
& equal(xx,sdtlpdtrp0(xe,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2',m__5389) ).
fof(314,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(315,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
& ~ equal(szszuzczcdt0(X2),sz00) ) ),
inference(variable_rename,[status(thm)],[314]) ).
fof(316,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ~ equal(szszuzczcdt0(X2),sz00)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[315]) ).
cnf(318,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[316]) ).
fof(425,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(426,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[425]) ).
cnf(427,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[426]) ).
fof(428,plain,
( ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
& ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(429,plain,
( ? [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xm))
& ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(variable_rename,[status(thm)],[428]) ).
fof(430,plain,
( aElementOf0(esk17_0,sdtlpdtrp0(xN,xm))
& ~ aElementOf0(esk17_0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(skolemize,[status(esa)],[429]) ).
cnf(431,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[430]) ).
fof(521,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(522,plain,
! [X4,X5] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ sdtlseqdt0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) ) ),
inference(variable_rename,[status(thm)],[521]) ).
fof(523,plain,
! [X4,X5,X6] :
( ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5)) )
& aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5)) )
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[522]) ).
fof(524,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| aElementOf0(X6,sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
| ~ sdtlseqdt0(X5,X4)
| ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0) ) ),
inference(distribute,[status(thm)],[523]) ).
cnf(525,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X2),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[524]) ).
cnf(622,plain,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[85]) ).
fof(643,plain,
( ? [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
& ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(fof_nnf,[status(thm)],[91]) ).
fof(644,plain,
( ? [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xn))
& ~ aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(variable_rename,[status(thm)],[643]) ).
fof(645,plain,
( aElementOf0(esk28_0,sdtlpdtrp0(xN,xn))
& ~ aElementOf0(esk28_0,sdtlpdtrp0(xN,xm))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(skolemize,[status(esa)],[644]) ).
cnf(646,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[645]) ).
cnf(683,plain,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(5473,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(spm,[status(thm)],[318,622,theory(equality)]) ).
cnf(6181,plain,
( sdtlseqdt0(szszuzczcdt0(X1),xm)
| sdtlseqdt0(xm,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[427,683,theory(equality)]) ).
cnf(6566,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[525,622,theory(equality)]) ).
cnf(6570,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[525,683,theory(equality)]) ).
cnf(117861,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[6181,622,theory(equality)]) ).
cnf(656568,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[6570,117861,theory(equality)]) ).
cnf(656570,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| sdtlseqdt0(xm,xn)
| $false ),
inference(rw,[status(thm)],[656568,5473,theory(equality)]) ).
cnf(656571,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[656570,theory(equality)]) ).
cnf(656572,plain,
sdtlseqdt0(xm,xn),
inference(sr,[status(thm)],[656571,431,theory(equality)]) ).
cnf(656969,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[6566,656572,theory(equality)]) ).
cnf(656975,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
| $false ),
inference(rw,[status(thm)],[656969,683,theory(equality)]) ).
cnf(656976,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cn,[status(thm)],[656975,theory(equality)]) ).
cnf(656977,plain,
$false,
inference(sr,[status(thm)],[656976,646,theory(equality)]) ).
cnf(656978,plain,
$false,
656977,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM627+3 : 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 : n097.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 11:01:15 CST 2018
% 0.06/0.24 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 29.07/29.34 eprover: CPU time limit exceeded, terminating
% 93.92/94.30 -running prover on /export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_1 with time limit 29
% 93.92/94.30 -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/tmpwfnbAd/sel_theBenchmark.p_1']
% 93.92/94.30 -prover status ResourceOut
% 93.92/94.30 -running prover on /export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2 with time limit 81
% 93.92/94.30 -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=81', '/export/starexec/sandbox2/tmp/tmpwfnbAd/sel_theBenchmark.p_2']
% 93.92/94.30 -prover status Theorem
% 93.92/94.30 Problem theBenchmark.p solved in phase 1.
% 93.92/94.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.92/94.30 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.92/94.30 Solved 1 out of 1.
% 93.92/94.30 # Problem is unsatisfiable (or provable), constructing proof object
% 93.92/94.30 # SZS status Theorem
% 93.92/94.30 # SZS output start CNFRefutation.
% See solution above
% 93.92/94.32 # SZS output end CNFRefutation
%------------------------------------------------------------------------------