TSTP Solution File: NUM552+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM552+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n114.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 15:21:45 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 257 ( 2 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 349 ( 139 ~; 149 |; 53 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',m__2270) ).
fof(10,axiom,
( aSet0(xS)
& aSet0(xT)
& ~ equal(xk,sz00) ),
file('/export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',m__2202_02) ).
fof(17,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',mDefSub) ).
fof(44,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',m__) ).
fof(50,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/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',mDefSel) ).
fof(55,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',m__2202) ).
fof(68,axiom,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ equal(slbdtsldtrb0(xS,xk),slcrc0) ),
file('/export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1',m__2227) ).
fof(69,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(assume_negation,[status(cth)],[44]) ).
cnf(86,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(114,plain,
aSet0(xT),
inference(split_conjunct,[status(thm)],[10]) ).
fof(142,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(143,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[142]) ).
fof(144,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[143]) ).
fof(145,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[144]) ).
fof(146,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[145]) ).
cnf(150,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[146]) ).
fof(266,negated_conjecture,
( aElementOf0(xx,xQ)
& ~ aElementOf0(xx,xT) ),
inference(fof_nnf,[status(thm)],[69]) ).
cnf(267,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(268,negated_conjecture,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[266]) ).
fof(284,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)],[50]) ).
fof(285,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)],[284]) ).
fof(286,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(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[285]) ).
fof(287,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(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk10_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[286]) ).
fof(288,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(esk10_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk10_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk10_3(X5,X6,X7),X5)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk10_3(X5,X6,X7)),X6)
| aElementOf0(esk10_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[287]) ).
cnf(292,plain,
( aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[288]) ).
cnf(295,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[288]) ).
cnf(309,plain,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(361,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(split_conjunct,[status(thm)],[68]) ).
cnf(468,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(spm,[status(thm)],[150,361,theory(equality)]) ).
cnf(488,plain,
( aSet0(slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[292,theory(equality)]) ).
cnf(575,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[295,theory(equality)]) ).
cnf(1363,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[468,488,theory(equality)]) ).
cnf(1364,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| $false
| ~ aSet0(xT) ),
inference(rw,[status(thm)],[1363,309,theory(equality)]) ).
cnf(1365,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
| $false
| $false ),
inference(rw,[status(thm)],[1364,114,theory(equality)]) ).
cnf(1366,plain,
( aElementOf0(X1,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cn,[status(thm)],[1365,theory(equality)]) ).
cnf(2162,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(spm,[status(thm)],[575,1366,theory(equality)]) ).
cnf(2167,plain,
( aSubsetOf0(X1,xT)
| $false
| ~ aSet0(xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(rw,[status(thm)],[2162,309,theory(equality)]) ).
cnf(2168,plain,
( aSubsetOf0(X1,xT)
| $false
| $false
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(rw,[status(thm)],[2167,114,theory(equality)]) ).
cnf(2169,plain,
( aSubsetOf0(X1,xT)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
inference(cn,[status(thm)],[2168,theory(equality)]) ).
cnf(2261,plain,
aSubsetOf0(xQ,xT),
inference(spm,[status(thm)],[2169,86,theory(equality)]) ).
cnf(2280,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ)
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[150,2261,theory(equality)]) ).
cnf(2290,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ)
| $false ),
inference(rw,[status(thm)],[2280,114,theory(equality)]) ).
cnf(2291,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,xQ) ),
inference(cn,[status(thm)],[2290,theory(equality)]) ).
cnf(2299,plain,
~ aElementOf0(xx,xQ),
inference(spm,[status(thm)],[267,2291,theory(equality)]) ).
cnf(2312,plain,
$false,
inference(rw,[status(thm)],[2299,268,theory(equality)]) ).
cnf(2313,plain,
$false,
inference(cn,[status(thm)],[2312,theory(equality)]) ).
cnf(2314,plain,
$false,
2313,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM552+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n114.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 08:32:15 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.06/0.41 -running prover on /export/starexec/sandbox2/tmp/tmphQ2i0C/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.41 -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/tmphQ2i0C/sel_theBenchmark.p_1']
% 0.06/0.41 -prover status Theorem
% 0.06/0.41 Problem theBenchmark.p solved in phase 0.
% 0.06/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.41 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.41 Solved 1 out of 1.
% 0.06/0.41 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.41 # SZS status Theorem
% 0.06/0.41 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.42 # SZS output end CNFRefutation
%------------------------------------------------------------------------------