TSTP Solution File: NUM622+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM622+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n129.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 15:22:02 EST 2018
% Result : Theorem 3.66s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 69 ( 1 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 64 ( 18 ~; 15 |; 28 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,axiom,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpmo0lsG/sel_theBenchmark.p_1',m__4660) ).
fof(19,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/tmp/tmpmo0lsG/sel_theBenchmark.p_1',m__) ).
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/tmpmo0lsG/sel_theBenchmark.p_1',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/tmpmo0lsG/sel_theBenchmark.p_1',m__5461) ).
fof(120,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(assume_negation,[status(cth)],[19]) ).
fof(122,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(fof_simplification,[status(thm)],[120,theory(equality)]) ).
fof(217,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& equal(sdtlpdtrp0(xe,X1),szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(218,plain,
( aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,szNzAzT0)
| ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4) )
& equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3))) ) ) ),
inference(variable_rename,[status(thm)],[217]) ).
fof(219,plain,
! [X3,X4] :
( ( ( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4) )
& aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
& equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3))) )
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[218]) ).
fof(220,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
| sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
| ~ aElementOf0(X3,szNzAzT0) )
& ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
| ~ aElementOf0(X3,szNzAzT0) )
& ( equal(sdtlpdtrp0(xe,X3),szmzizndt0(sdtlpdtrp0(xN,X3)))
| ~ aElementOf0(X3,szNzAzT0) )
& aFunction0(xe)
& equal(szDzozmdt0(xe),szNzAzT0) ),
inference(distribute,[status(thm)],[219]) ).
cnf(224,plain,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[220]) ).
cnf(247,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[122]) ).
cnf(621,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[85]) ).
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,
! [X2] :
( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
| aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
& aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(shift_quantors,[status(thm)],[644]) ).
cnf(647,plain,
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ),
inference(split_conjunct,[status(thm)],[645]) ).
cnf(5596,plain,
aElementOf0(sdtlpdtrp0(xe,xn),sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[224,622,theory(equality)]) ).
cnf(5600,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(rw,[status(thm)],[5596,621,theory(equality)]) ).
cnf(29886,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(spm,[status(thm)],[647,5600,theory(equality)]) ).
cnf(29917,plain,
$false,
inference(sr,[status(thm)],[29886,247,theory(equality)]) ).
cnf(29918,plain,
$false,
29917,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM622+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n129.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 10:55:45 CST 2018
% 0.02/0.24 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.29 --creating new selector for []
% 3.66/3.87 -running prover on /export/starexec/sandbox2/tmp/tmpmo0lsG/sel_theBenchmark.p_1 with time limit 29
% 3.66/3.87 -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/tmpmo0lsG/sel_theBenchmark.p_1']
% 3.66/3.87 -prover status Theorem
% 3.66/3.87 Problem theBenchmark.p solved in phase 0.
% 3.66/3.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/3.87 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/3.87 Solved 1 out of 1.
% 3.66/3.87 # Problem is unsatisfiable (or provable), constructing proof object
% 3.66/3.87 # SZS status Theorem
% 3.66/3.87 # SZS output start CNFRefutation.
% See solution above
% 3.66/3.87 # SZS output end CNFRefutation
%------------------------------------------------------------------------------