TSTP Solution File: COM129+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM129+1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n009.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:03:41 EDT 2016
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 87 ( 9 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 106 ( 49 ~; 38 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 8 sgn 40 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( equal(vgensym(X2),X1)
=> ~ visFreeVar(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmpThLWHn/sel_theBenchmark.p_1','gensym-is-fresh') ).
fof(5,axiom,
! [X7,X3,X10,X1,X11] :
( ( equal(X7,X1)
& equal(X3,vapp(X10,X11)) )
=> ( ( ( visFreeVar(X1,X10)
| visFreeVar(X1,X11) )
=> visFreeVar(X7,X3) )
& ( visFreeVar(X7,X3)
=> ( visFreeVar(X1,X10)
| visFreeVar(X1,X11) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpThLWHn/sel_theBenchmark.p_1',isFreeVar2) ).
fof(28,conjecture,
! [X2,X9,X19,X10] :
( equal(X19,vgensym(vapp(vapp(X2,X10),vvar(X9))))
=> ~ visFreeVar(X19,X10) ),
file('/export/starexec/sandbox/tmp/tmpThLWHn/sel_theBenchmark.p_1','fresh-free-2') ).
fof(32,negated_conjecture,
~ ! [X2,X9,X19,X10] :
( equal(X19,vgensym(vapp(vapp(X2,X10),vvar(X9))))
=> ~ visFreeVar(X19,X10) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(33,plain,
! [X1,X2] :
( equal(vgensym(X2),X1)
=> ~ visFreeVar(X1,X2) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(37,negated_conjecture,
~ ! [X2,X9,X19,X10] :
( equal(X19,vgensym(vapp(vapp(X2,X10),vvar(X9))))
=> ~ visFreeVar(X19,X10) ),
inference(fof_simplification,[status(thm)],[32,theory(equality)]) ).
fof(44,plain,
! [X1,X2] :
( ~ equal(vgensym(X2),X1)
| ~ visFreeVar(X1,X2) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(45,plain,
! [X3,X4] :
( ~ equal(vgensym(X4),X3)
| ~ visFreeVar(X3,X4) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( ~ visFreeVar(X1,X2)
| vgensym(X2) != X1 ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(62,plain,
! [X7,X3,X10,X1,X11] :
( ~ equal(X7,X1)
| ~ equal(X3,vapp(X10,X11))
| ( ( ( ~ visFreeVar(X1,X10)
& ~ visFreeVar(X1,X11) )
| visFreeVar(X7,X3) )
& ( ~ visFreeVar(X7,X3)
| visFreeVar(X1,X10)
| visFreeVar(X1,X11) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(63,plain,
! [X12,X13,X14,X15,X16] :
( ~ equal(X12,X15)
| ~ equal(X13,vapp(X14,X16))
| ( ( ( ~ visFreeVar(X15,X14)
& ~ visFreeVar(X15,X16) )
| visFreeVar(X12,X13) )
& ( ~ visFreeVar(X12,X13)
| visFreeVar(X15,X14)
| visFreeVar(X15,X16) ) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ visFreeVar(X15,X14)
| visFreeVar(X12,X13)
| ~ equal(X12,X15)
| ~ equal(X13,vapp(X14,X16)) )
& ( ~ visFreeVar(X15,X16)
| visFreeVar(X12,X13)
| ~ equal(X12,X15)
| ~ equal(X13,vapp(X14,X16)) )
& ( ~ visFreeVar(X12,X13)
| visFreeVar(X15,X14)
| visFreeVar(X15,X16)
| ~ equal(X12,X15)
| ~ equal(X13,vapp(X14,X16)) ) ),
inference(distribute,[status(thm)],[63]) ).
cnf(66,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X3) ),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(67,plain,
( visFreeVar(X4,X1)
| X1 != vapp(X2,X3)
| X4 != X5
| ~ visFreeVar(X5,X2) ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(149,negated_conjecture,
? [X2,X9,X19,X10] :
( equal(X19,vgensym(vapp(vapp(X2,X10),vvar(X9))))
& visFreeVar(X19,X10) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(150,negated_conjecture,
? [X20,X21,X22,X23] :
( equal(X22,vgensym(vapp(vapp(X20,X23),vvar(X21))))
& visFreeVar(X22,X23) ),
inference(variable_rename,[status(thm)],[149]) ).
fof(151,negated_conjecture,
( equal(esk8_0,vgensym(vapp(vapp(esk6_0,esk9_0),vvar(esk7_0))))
& visFreeVar(esk8_0,esk9_0) ),
inference(skolemize,[status(esa)],[150]) ).
cnf(152,negated_conjecture,
visFreeVar(esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(153,negated_conjecture,
esk8_0 = vgensym(vapp(vapp(esk6_0,esk9_0),vvar(esk7_0))),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(344,plain,
( visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[66,theory(equality)]) ).
cnf(345,plain,
( visFreeVar(X1,X2)
| vapp(X3,X4) != X2
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[67,theory(equality)]) ).
cnf(1289,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[344,theory(equality)]) ).
cnf(1550,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[345,theory(equality)]) ).
cnf(1745,plain,
( vgensym(vapp(X1,X2)) != X3
| ~ visFreeVar(X3,X1) ),
inference(spm,[status(thm)],[46,1550,theory(equality)]) ).
cnf(2101,plain,
~ visFreeVar(vgensym(vapp(X1,X2)),X1),
inference(er,[status(thm)],[1745,theory(equality)]) ).
cnf(2157,negated_conjecture,
~ visFreeVar(esk8_0,vapp(esk6_0,esk9_0)),
inference(spm,[status(thm)],[2101,153,theory(equality)]) ).
cnf(2216,negated_conjecture,
~ visFreeVar(esk8_0,esk9_0),
inference(spm,[status(thm)],[2157,1289,theory(equality)]) ).
cnf(2218,negated_conjecture,
$false,
inference(rw,[status(thm)],[2216,152,theory(equality)]) ).
cnf(2219,negated_conjecture,
$false,
inference(cn,[status(thm)],[2218,theory(equality)]) ).
cnf(2220,negated_conjecture,
$false,
2219,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM129+1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n009.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 : 16091.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Mar 25 11:50:14 CDT 2016
% 0.02/0.23 % CPUTime :
% 0.08/1.95 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/1.95 --creating new selector for [COM001+1.ax, COM001+0.ax]
% 0.25/4.04 -running prover on /export/starexec/sandbox/tmp/tmpThLWHn/sel_theBenchmark.p_1 with time limit 29
% 0.25/4.04 -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/tmpThLWHn/sel_theBenchmark.p_1']
% 0.25/4.04 -prover status Theorem
% 0.25/4.04 Problem theBenchmark.p solved in phase 0.
% 0.25/4.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/4.04 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/4.04 Solved 1 out of 1.
% 0.25/4.04 # Problem is unsatisfiable (or provable), constructing proof object
% 0.25/4.04 # SZS status Theorem
% 0.25/4.04 # SZS output start CNFRefutation.
% See solution above
% 0.25/4.04 # SZS output end CNFRefutation
%------------------------------------------------------------------------------