TSTP Solution File: SWV416+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV416+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 12:41:04 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 73 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 30 ~; 21 |; 12 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 79 ( 16 sgn 42 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,axiom,
! [X1,X2] :
( pi_remove(X1,X2)
<=> pi_sharp_remove(i(X1),X2) ),
file('/tmp/tmppOzADC/sel_SWV416+1.p_1',ax57) ).
fof(20,axiom,
! [X1,X2] :
( pi_sharp_remove(X1,X2)
<=> contains_pq(X1,X2) ),
file('/tmp/tmppOzADC/sel_SWV416+1.p_1',ax56) ).
fof(22,conjecture,
! [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
=> ( phi(remove_cpq(triple(X1,X2,X3),X4))
=> ( pi_sharp_remove(i(triple(X1,X2,X3)),X4)
& i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ) ) ),
file('/tmp/tmppOzADC/sel_SWV416+1.p_1',co3) ).
fof(23,axiom,
! [X1,X2,X3,X4,X5] : i(triple(X1,X3,X4)) = i(triple(X2,X3,X5)),
file('/tmp/tmppOzADC/sel_SWV416+1.p_1',main3_li12) ).
fof(24,axiom,
! [X1,X2,X3,X4] :
( contains_pq(i(triple(X1,X2,X3)),X4)
=> i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ),
file('/tmp/tmppOzADC/sel_SWV416+1.p_1',main3_li34) ).
fof(25,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
=> ( phi(remove_cpq(triple(X1,X2,X3),X4))
=> ( pi_sharp_remove(i(triple(X1,X2,X3)),X4)
& i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ) ) ),
inference(assume_negation,[status(cth)],[22]) ).
fof(84,plain,
! [X1,X2] :
( ( ~ pi_remove(X1,X2)
| pi_sharp_remove(i(X1),X2) )
& ( ~ pi_sharp_remove(i(X1),X2)
| pi_remove(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(85,plain,
! [X3,X4] :
( ( ~ pi_remove(X3,X4)
| pi_sharp_remove(i(X3),X4) )
& ( ~ pi_sharp_remove(i(X3),X4)
| pi_remove(X3,X4) ) ),
inference(variable_rename,[status(thm)],[84]) ).
cnf(87,plain,
( pi_sharp_remove(i(X1),X2)
| ~ pi_remove(X1,X2) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(93,plain,
! [X1,X2] :
( ( ~ pi_sharp_remove(X1,X2)
| contains_pq(X1,X2) )
& ( ~ contains_pq(X1,X2)
| pi_sharp_remove(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(94,plain,
! [X3,X4] :
( ( ~ pi_sharp_remove(X3,X4)
| contains_pq(X3,X4) )
& ( ~ contains_pq(X3,X4)
| pi_sharp_remove(X3,X4) ) ),
inference(variable_rename,[status(thm)],[93]) ).
cnf(96,plain,
( contains_pq(X1,X2)
| ~ pi_sharp_remove(X1,X2) ),
inference(split_conjunct,[status(thm)],[94]) ).
fof(99,negated_conjecture,
? [X1,X2,X3,X4] :
( pi_remove(triple(X1,X2,X3),X4)
& phi(remove_cpq(triple(X1,X2,X3),X4))
& ( ~ pi_sharp_remove(i(triple(X1,X2,X3)),X4)
| i(remove_cpq(triple(X1,X2,X3),X4)) != remove_pq(i(triple(X1,X2,X3)),X4) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(100,negated_conjecture,
? [X5,X6,X7,X8] :
( pi_remove(triple(X5,X6,X7),X8)
& phi(remove_cpq(triple(X5,X6,X7),X8))
& ( ~ pi_sharp_remove(i(triple(X5,X6,X7)),X8)
| i(remove_cpq(triple(X5,X6,X7),X8)) != remove_pq(i(triple(X5,X6,X7)),X8) ) ),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,negated_conjecture,
( pi_remove(triple(esk2_0,esk3_0,esk4_0),esk5_0)
& phi(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0))
& ( ~ pi_sharp_remove(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0)
| i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0)) != remove_pq(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0) ) ),
inference(skolemize,[status(esa)],[100]) ).
cnf(102,negated_conjecture,
( i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0)) != remove_pq(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0)
| ~ pi_sharp_remove(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0) ),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(104,negated_conjecture,
pi_remove(triple(esk2_0,esk3_0,esk4_0),esk5_0),
inference(split_conjunct,[status(thm)],[101]) ).
fof(105,plain,
! [X6,X7,X8,X9,X10] : i(triple(X6,X8,X9)) = i(triple(X7,X8,X10)),
inference(variable_rename,[status(thm)],[23]) ).
cnf(106,plain,
i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
inference(split_conjunct,[status(thm)],[105]) ).
fof(107,plain,
! [X1,X2,X3,X4] :
( ~ contains_pq(i(triple(X1,X2,X3)),X4)
| i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(108,plain,
! [X5,X6,X7,X8] :
( ~ contains_pq(i(triple(X5,X6,X7)),X8)
| i(remove_cpq(triple(X5,X6,X7),X8)) = remove_pq(i(triple(X5,X6,X7)),X8) ),
inference(variable_rename,[status(thm)],[107]) ).
cnf(109,plain,
( i(remove_cpq(triple(X1,X2,X3),X4)) = remove_pq(i(triple(X1,X2,X3)),X4)
| ~ contains_pq(i(triple(X1,X2,X3)),X4) ),
inference(split_conjunct,[status(thm)],[108]) ).
cnf(110,negated_conjecture,
pi_sharp_remove(i(triple(esk2_0,esk3_0,esk4_0)),esk5_0),
inference(spm,[status(thm)],[87,104,theory(equality)]) ).
cnf(156,plain,
( remove_pq(i(triple(X1,esk3_0,X2)),esk5_0) != i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0))
| ~ pi_sharp_remove(i(triple(X1,esk3_0,X2)),esk5_0) ),
inference(spm,[status(thm)],[102,106,theory(equality)]) ).
cnf(165,plain,
pi_sharp_remove(i(triple(X1,esk3_0,X2)),esk5_0),
inference(spm,[status(thm)],[110,106,theory(equality)]) ).
cnf(173,plain,
contains_pq(i(triple(X1,esk3_0,X2)),esk5_0),
inference(spm,[status(thm)],[96,165,theory(equality)]) ).
cnf(175,plain,
( remove_pq(i(triple(X1,esk3_0,X2)),esk5_0) != i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0))
| $false ),
inference(rw,[status(thm)],[156,165,theory(equality)]) ).
cnf(176,plain,
remove_pq(i(triple(X1,esk3_0,X2)),esk5_0) != i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0)),
inference(cn,[status(thm)],[175,theory(equality)]) ).
cnf(181,plain,
( i(remove_cpq(triple(X1,esk3_0,X2),esk5_0)) != i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0))
| ~ contains_pq(i(triple(X1,esk3_0,X2)),esk5_0) ),
inference(spm,[status(thm)],[176,109,theory(equality)]) ).
cnf(191,plain,
( i(remove_cpq(triple(X1,esk3_0,X2),esk5_0)) != i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0))
| $false ),
inference(rw,[status(thm)],[181,173,theory(equality)]) ).
cnf(192,plain,
i(remove_cpq(triple(X1,esk3_0,X2),esk5_0)) != i(remove_cpq(triple(esk2_0,esk3_0,esk4_0),esk5_0)),
inference(cn,[status(thm)],[191,theory(equality)]) ).
cnf(193,plain,
$false,
inference(er,[status(thm)],[192,theory(equality)]) ).
cnf(196,plain,
$false,
193,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV416+1.p
% --creating new selector for [SWV007+3.ax, SWV007+0.ax, SWV007+1.ax, SWV007+2.ax, SWV007+4.ax]
% -running prover on /tmp/tmppOzADC/sel_SWV416+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV416+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV416+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV416+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
%
%------------------------------------------------------------------------------