TSTP Solution File: NUM576+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM576+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n062.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 15:21:51 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 91 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 39 ~; 48 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpnglKyb/sel_theBenchmark.p_1',m__3856) ).
fof(68,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpnglKyb/sel_theBenchmark.p_1',mLessTotal) ).
fof(69,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpnglKyb/sel_theBenchmark.p_1',mLessASymm) ).
fof(81,conjecture,
( ~ equal(xi,xj)
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/tmp/tmpnglKyb/sel_theBenchmark.p_1',m__) ).
fof(86,negated_conjecture,
~ ( ~ equal(xi,xj)
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
inference(assume_negation,[status(cth)],[81]) ).
cnf(95,plain,
aElementOf0(xj,szNzAzT0),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(96,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[2]) ).
fof(408,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(409,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[408]) ).
cnf(410,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[409]) ).
fof(411,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(412,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[411]) ).
cnf(413,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[412]) ).
fof(458,negated_conjecture,
( ~ equal(xi,xj)
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(fof_nnf,[status(thm)],[86]) ).
cnf(459,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(split_conjunct,[status(thm)],[458]) ).
cnf(460,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(split_conjunct,[status(thm)],[458]) ).
cnf(461,negated_conjecture,
xi != xj,
inference(split_conjunct,[status(thm)],[458]) ).
cnf(614,negated_conjecture,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(spm,[status(thm)],[459,410,theory(equality)]) ).
cnf(615,negated_conjecture,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(spm,[status(thm)],[460,410,theory(equality)]) ).
cnf(620,negated_conjecture,
( sdtlseqdt0(xj,xi)
| $false
| ~ aElementOf0(xi,szNzAzT0) ),
inference(rw,[status(thm)],[614,95,theory(equality)]) ).
cnf(621,negated_conjecture,
( sdtlseqdt0(xj,xi)
| $false
| $false ),
inference(rw,[status(thm)],[620,96,theory(equality)]) ).
cnf(622,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(cn,[status(thm)],[621,theory(equality)]) ).
cnf(623,negated_conjecture,
( sdtlseqdt0(xi,xj)
| $false
| ~ aElementOf0(xj,szNzAzT0) ),
inference(rw,[status(thm)],[615,96,theory(equality)]) ).
cnf(624,negated_conjecture,
( sdtlseqdt0(xi,xj)
| $false
| $false ),
inference(rw,[status(thm)],[623,95,theory(equality)]) ).
cnf(625,negated_conjecture,
sdtlseqdt0(xi,xj),
inference(cn,[status(thm)],[624,theory(equality)]) ).
cnf(1296,negated_conjecture,
( xj = xi
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(spm,[status(thm)],[413,625,theory(equality)]) ).
cnf(1298,negated_conjecture,
( xj = xi
| $false
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(rw,[status(thm)],[1296,622,theory(equality)]) ).
cnf(1299,negated_conjecture,
( xj = xi
| $false
| $false
| ~ aElementOf0(xj,szNzAzT0) ),
inference(rw,[status(thm)],[1298,96,theory(equality)]) ).
cnf(1300,negated_conjecture,
( xj = xi
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1299,95,theory(equality)]) ).
cnf(1301,negated_conjecture,
xj = xi,
inference(cn,[status(thm)],[1300,theory(equality)]) ).
cnf(1302,negated_conjecture,
$false,
inference(sr,[status(thm)],[1301,461,theory(equality)]) ).
cnf(1303,negated_conjecture,
$false,
1302,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM576+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 : n062.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 09:28:00 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.07/0.39 -running prover on /export/starexec/sandbox2/tmp/tmpnglKyb/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.39 -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/tmpnglKyb/sel_theBenchmark.p_1']
% 0.07/0.39 -prover status Theorem
% 0.07/0.39 Problem theBenchmark.p solved in phase 0.
% 0.07/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.39 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.39 Solved 1 out of 1.
% 0.07/0.39 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.39 # SZS status Theorem
% 0.07/0.39 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.39 # SZS output end CNFRefutation
%------------------------------------------------------------------------------