TSTP Solution File: SWC276+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC276+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 11:11:11 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 117 ( 47 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 124 ( 31 ~; 32 |; 45 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 18 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ssItem(X1)
=> totalorderedP(cons(X1,nil)) ),
file('/tmp/tmpJdCPo7/sel_SWC276+1.p_1',ax65) ).
fof(3,axiom,
totalorderedP(nil),
file('/tmp/tmpJdCPo7/sel_SWC276+1.p_1',ax66) ).
fof(32,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| totalorderedP(X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
file('/tmp/tmpJdCPo7/sel_SWC276+1.p_1',co1) ).
fof(33,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| totalorderedP(X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[32]) ).
fof(35,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| totalorderedP(X1)
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X3
| ~ memberP(X4,X5) ) )
& ( nil != X4
| nil != X3 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(36,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(37,plain,
! [X2] :
( ~ ssItem(X2)
| totalorderedP(cons(X2,nil)) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(48,plain,
totalorderedP(nil),
inference(split_conjunct,[status(thm)],[3]) ).
fof(184,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ~ totalorderedP(X1)
& ( ? [X5] :
( ssItem(X5)
& cons(X5,nil) = X3
& memberP(X4,X5) )
| ( nil = X4
& nil = X3 ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(185,negated_conjecture,
? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& X7 = X9
& X6 = X8
& ~ totalorderedP(X6)
& ( ? [X10] :
( ssItem(X10)
& cons(X10,nil) = X8
& memberP(X9,X10) )
| ( nil = X9
& nil = X8 ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[184]) ).
fof(186,negated_conjecture,
( ssList(esk13_0)
& ssList(esk14_0)
& ssList(esk15_0)
& ssList(esk16_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ~ totalorderedP(esk13_0)
& ( ( ssItem(esk17_0)
& cons(esk17_0,nil) = esk15_0
& memberP(esk16_0,esk17_0) )
| ( nil = esk16_0
& nil = esk15_0 ) ) ),
inference(skolemize,[status(esa)],[185]) ).
fof(187,negated_conjecture,
( ssList(esk13_0)
& ssList(esk14_0)
& ssList(esk15_0)
& ssList(esk16_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ~ totalorderedP(esk13_0)
& ( nil = esk16_0
| ssItem(esk17_0) )
& ( nil = esk15_0
| ssItem(esk17_0) )
& ( nil = esk16_0
| cons(esk17_0,nil) = esk15_0 )
& ( nil = esk15_0
| cons(esk17_0,nil) = esk15_0 )
& ( nil = esk16_0
| memberP(esk16_0,esk17_0) )
& ( nil = esk15_0
| memberP(esk16_0,esk17_0) ) ),
inference(distribute,[status(thm)],[186]) ).
cnf(190,negated_conjecture,
( cons(esk17_0,nil) = esk15_0
| nil = esk15_0 ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(192,negated_conjecture,
( ssItem(esk17_0)
| nil = esk15_0 ),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(194,negated_conjecture,
~ totalorderedP(esk13_0),
inference(split_conjunct,[status(thm)],[187]) ).
cnf(195,negated_conjecture,
esk13_0 = esk15_0,
inference(split_conjunct,[status(thm)],[187]) ).
cnf(203,negated_conjecture,
~ totalorderedP(esk15_0),
inference(rw,[status(thm)],[194,195,theory(equality)]) ).
cnf(204,negated_conjecture,
( totalorderedP(esk15_0)
| esk15_0 = nil
| ~ ssItem(esk17_0) ),
inference(spm,[status(thm)],[38,190,theory(equality)]) ).
cnf(206,negated_conjecture,
( esk15_0 = nil
| ~ ssItem(esk17_0) ),
inference(sr,[status(thm)],[204,203,theory(equality)]) ).
cnf(524,negated_conjecture,
esk15_0 = nil,
inference(csr,[status(thm)],[206,192]) ).
cnf(529,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[203,524,theory(equality)]),48,theory(equality)]) ).
cnf(530,negated_conjecture,
$false,
inference(cn,[status(thm)],[529,theory(equality)]) ).
cnf(531,negated_conjecture,
$false,
530,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC276+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpJdCPo7/sel_SWC276+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC276+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC276+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC276+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------