TSTP Solution File: NUM602+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM602+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n087.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 15:21:57 EST 2018
% Result : Theorem 2.61s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 188 ( 3 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 238 ( 80 ~; 70 |; 83 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(11,axiom,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd)) ) )
& ! [X1] :
( aElementOf0(X1,xO)
<=> ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) )
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
file('/export/starexec/sandbox/tmp/tmpb7DqOj/sel_theBenchmark.p_1',m__4891) ).
fof(18,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& equal(sdtlpdtrp0(xe,X1),xx) ),
file('/export/starexec/sandbox/tmp/tmpb7DqOj/sel_theBenchmark.p_1',m__) ).
fof(55,axiom,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpb7DqOj/sel_theBenchmark.p_1',m__4730) ).
fof(88,axiom,
( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X1),xx) )
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/tmp/tmpb7DqOj/sel_theBenchmark.p_1',m__5009) ).
fof(100,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& equal(sdtlpdtrp0(xe,X1),xx) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(179,plain,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X1,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X1,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X1),szDzizrdt0(xd))
| aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,xO)
| ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),X1) ) )
& ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X2),X1) )
| aElementOf0(X1,xO) ) )
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(180,plain,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X3,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X3,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd))
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,xO)
| ? [X5] :
( aElementOf0(X5,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X5),X4) ) )
& ( ! [X6] :
( ~ aElementOf0(X6,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X6),X4) )
| aElementOf0(X4,xO) ) )
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(variable_rename,[status(thm)],[179]) ).
fof(181,plain,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X3,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X3,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd))
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& ! [X4] :
( ( ~ aElementOf0(X4,xO)
| ( aElementOf0(esk5_1(X4),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk5_1(X4)),X4) ) )
& ( ! [X6] :
( ~ aElementOf0(X6,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X6),X4) )
| aElementOf0(X4,xO) ) )
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(skolemize,[status(esa)],[180]) ).
fof(182,plain,
! [X3,X4,X6] :
( ( ~ aElementOf0(X6,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X6),X4)
| aElementOf0(X4,xO) )
& ( ~ aElementOf0(X4,xO)
| ( aElementOf0(esk5_1(X4),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk5_1(X4)),X4) ) )
& ( ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( aElementOf0(X3,szDzozmdt0(xd))
& equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd)) ) )
& ( ~ aElementOf0(X3,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd))
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(shift_quantors,[status(thm)],[181]) ).
fof(183,plain,
! [X3,X4,X6] :
( ( ~ aElementOf0(X6,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ equal(sdtlpdtrp0(xe,X6),X4)
| aElementOf0(X4,xO) )
& ( aElementOf0(esk5_1(X4),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X4,xO) )
& ( equal(sdtlpdtrp0(xe,esk5_1(X4)),X4)
| ~ aElementOf0(X4,xO) )
& ( aElementOf0(X3,szDzozmdt0(xd))
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd))
| ~ aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X3,szDzozmdt0(xd))
| ~ equal(sdtlpdtrp0(xd,X3),szDzizrdt0(xd))
| aElementOf0(X3,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(xO,sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))) ),
inference(distribute,[status(thm)],[182]) ).
cnf(189,plain,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[183]) ).
fof(219,negated_conjecture,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ equal(sdtlpdtrp0(xe,X1),xx) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(220,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ equal(sdtlpdtrp0(xe,X2),xx) ),
inference(variable_rename,[status(thm)],[219]) ).
cnf(221,negated_conjecture,
( sdtlpdtrp0(xe,X1) != xx
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[220]) ).
fof(423,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ~ aSet0(X2)
| ( ( ( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& ~ aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| ~ equal(sbrdtbr0(X2),xk) )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
| equal(sdtlpdtrp0(xd,X1),sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(424,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ~ aSet0(X5)
| ( ( ( ? [X6] :
( aElementOf0(X6,X5)
& ~ aElementOf0(X6,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
inference(variable_rename,[status(thm)],[423]) ).
fof(425,plain,
( aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0)
& ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ! [X5] :
( ~ aSet0(X5)
| ( ( ( aElementOf0(esk20_2(X4,X5),X5)
& ~ aElementOf0(esk20_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)) ) ) ),
inference(skolemize,[status(esa)],[424]) ).
fof(426,plain,
! [X4,X5] :
( ( ~ aSet0(X5)
| ( ( ( aElementOf0(esk20_2(X4,X5),X5)
& ~ aElementOf0(esk20_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
& ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk)) )
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[425]) ).
fof(427,plain,
! [X4,X5] :
( ( aElementOf0(esk20_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk20_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| ~ aSet0(X5)
| equal(sdtlpdtrp0(xd,X4),sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5))
| ~ aElementOf0(X4,szNzAzT0) )
& aFunction0(xd)
& equal(szDzozmdt0(xd),szNzAzT0) ),
inference(distribute,[status(thm)],[426]) ).
cnf(428,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[427]) ).
fof(606,plain,
( ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),xx) )
& aElementOf0(xx,xO) ),
inference(variable_rename,[status(thm)],[88]) ).
fof(607,plain,
( aElementOf0(esk27_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk27_0),xx)
& aElementOf0(xx,xO) ),
inference(skolemize,[status(esa)],[606]) ).
cnf(609,plain,
sdtlpdtrp0(xe,esk27_0) = xx,
inference(split_conjunct,[status(thm)],[607]) ).
cnf(610,plain,
aElementOf0(esk27_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[607]) ).
cnf(5316,plain,
~ aElementOf0(esk27_0,szNzAzT0),
inference(spm,[status(thm)],[221,609,theory(equality)]) ).
cnf(5641,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(rw,[status(thm)],[189,428,theory(equality)]) ).
cnf(5642,plain,
aElementOf0(esk27_0,szNzAzT0),
inference(spm,[status(thm)],[5641,610,theory(equality)]) ).
cnf(19384,plain,
$false,
inference(rw,[status(thm)],[5316,5642,theory(equality)]) ).
cnf(19385,plain,
$false,
inference(cn,[status(thm)],[19384,theory(equality)]) ).
cnf(19386,plain,
$false,
19385,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM602+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n087.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 11:18:44 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 2.61/3.25 -running prover on /export/starexec/sandbox/tmp/tmpb7DqOj/sel_theBenchmark.p_1 with time limit 29
% 2.61/3.25 -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/tmpb7DqOj/sel_theBenchmark.p_1']
% 2.61/3.25 -prover status Theorem
% 2.61/3.25 Problem theBenchmark.p solved in phase 0.
% 2.61/3.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/3.25 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/3.25 Solved 1 out of 1.
% 2.61/3.25 # Problem is unsatisfiable (or provable), constructing proof object
% 2.61/3.25 # SZS status Theorem
% 2.61/3.25 # SZS output start CNFRefutation.
% See solution above
% 2.61/3.25 # SZS output end CNFRefutation
%------------------------------------------------------------------------------