TSTP Solution File: SWV370+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV370+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 12:27:31 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 159 ( 27 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 170 ( 63 ~; 72 |; 26 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 137 ( 15 sgn 80 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( contains_pq(insert_pq(X1,X2),X3)
<=> ( contains_pq(X1,X3)
| X2 = X3 ) ),
file('/tmp/tmp7RkKhv/sel_SWV370+1.p_1',ax9) ).
fof(4,axiom,
! [X1,X2,X3,X4] :
( contains_cpq(triple(X1,X2,X3),X4)
<=> contains_slb(X2,X4) ),
file('/tmp/tmp7RkKhv/sel_SWV370+1.p_1',ax39) ).
fof(5,axiom,
! [X1,X2,X3,X4] :
( contains_slb(insert_slb(X1,pair(X2,X4)),X3)
<=> ( contains_slb(X1,X3)
| X2 = X3 ) ),
file('/tmp/tmp7RkKhv/sel_SWV370+1.p_1',ax21) ).
fof(6,axiom,
! [X1,X2,X3,X4,X5] : i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)) = insert_pq(i(triple(X1,X2,X3)),X4),
file('/tmp/tmp7RkKhv/sel_SWV370+1.p_1',ax55) ).
fof(7,conjecture,
! [X1] :
( ! [X2,X3,X4] :
( contains_cpq(triple(X2,X1,X3),X4)
<=> contains_pq(i(triple(X2,X1,X3)),X4) )
=> ! [X5,X6,X7,X8,X9] :
( contains_cpq(triple(X5,insert_slb(X1,pair(X7,X8)),X6),X9)
<=> contains_pq(i(triple(X5,insert_slb(X1,pair(X7,X8)),X6)),X9) ) ),
file('/tmp/tmp7RkKhv/sel_SWV370+1.p_1',l6_co) ).
fof(8,negated_conjecture,
~ ! [X1] :
( ! [X2,X3,X4] :
( contains_cpq(triple(X2,X1,X3),X4)
<=> contains_pq(i(triple(X2,X1,X3)),X4) )
=> ! [X5,X6,X7,X8,X9] :
( contains_cpq(triple(X5,insert_slb(X1,pair(X7,X8)),X6),X9)
<=> contains_pq(i(triple(X5,insert_slb(X1,pair(X7,X8)),X6)),X9) ) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(10,plain,
! [X1,X2,X3] :
( ( ~ contains_pq(insert_pq(X1,X2),X3)
| contains_pq(X1,X3)
| X2 = X3 )
& ( ( ~ contains_pq(X1,X3)
& X2 != X3 )
| contains_pq(insert_pq(X1,X2),X3) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(11,plain,
! [X4,X5,X6] :
( ( ~ contains_pq(insert_pq(X4,X5),X6)
| contains_pq(X4,X6)
| X5 = X6 )
& ( ( ~ contains_pq(X4,X6)
& X5 != X6 )
| contains_pq(insert_pq(X4,X5),X6) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X4,X5,X6] :
( ( ~ contains_pq(insert_pq(X4,X5),X6)
| contains_pq(X4,X6)
| X5 = X6 )
& ( ~ contains_pq(X4,X6)
| contains_pq(insert_pq(X4,X5),X6) )
& ( X5 != X6
| contains_pq(insert_pq(X4,X5),X6) ) ),
inference(distribute,[status(thm)],[11]) ).
cnf(13,plain,
( contains_pq(insert_pq(X1,X2),X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
( contains_pq(insert_pq(X1,X2),X3)
| ~ contains_pq(X1,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
( X1 = X2
| contains_pq(X3,X2)
| ~ contains_pq(insert_pq(X3,X1),X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(20,plain,
! [X1,X2,X3,X4] :
( ( ~ contains_cpq(triple(X1,X2,X3),X4)
| contains_slb(X2,X4) )
& ( ~ contains_slb(X2,X4)
| contains_cpq(triple(X1,X2,X3),X4) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(21,plain,
! [X5,X6,X7,X8] :
( ( ~ contains_cpq(triple(X5,X6,X7),X8)
| contains_slb(X6,X8) )
& ( ~ contains_slb(X6,X8)
| contains_cpq(triple(X5,X6,X7),X8) ) ),
inference(variable_rename,[status(thm)],[20]) ).
cnf(22,plain,
( contains_cpq(triple(X1,X2,X3),X4)
| ~ contains_slb(X2,X4) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,plain,
( contains_slb(X1,X2)
| ~ contains_cpq(triple(X3,X1,X4),X2) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(24,plain,
! [X1,X2,X3,X4] :
( ( ~ contains_slb(insert_slb(X1,pair(X2,X4)),X3)
| contains_slb(X1,X3)
| X2 = X3 )
& ( ( ~ contains_slb(X1,X3)
& X2 != X3 )
| contains_slb(insert_slb(X1,pair(X2,X4)),X3) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(25,plain,
! [X5,X6,X7,X8] :
( ( ~ contains_slb(insert_slb(X5,pair(X6,X8)),X7)
| contains_slb(X5,X7)
| X6 = X7 )
& ( ( ~ contains_slb(X5,X7)
& X6 != X7 )
| contains_slb(insert_slb(X5,pair(X6,X8)),X7) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(26,plain,
! [X5,X6,X7,X8] :
( ( ~ contains_slb(insert_slb(X5,pair(X6,X8)),X7)
| contains_slb(X5,X7)
| X6 = X7 )
& ( ~ contains_slb(X5,X7)
| contains_slb(insert_slb(X5,pair(X6,X8)),X7) )
& ( X6 != X7
| contains_slb(insert_slb(X5,pair(X6,X8)),X7) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(27,plain,
( contains_slb(insert_slb(X1,pair(X2,X3)),X4)
| X2 != X4 ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
( contains_slb(insert_slb(X1,pair(X2,X3)),X4)
| ~ contains_slb(X1,X4) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(29,plain,
( X1 = X2
| contains_slb(X3,X2)
| ~ contains_slb(insert_slb(X3,pair(X1,X4)),X2) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(30,plain,
! [X6,X7,X8,X9,X10] : i(triple(X6,insert_slb(X7,pair(X9,X10)),X8)) = insert_pq(i(triple(X6,X7,X8)),X9),
inference(variable_rename,[status(thm)],[6]) ).
cnf(31,plain,
i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = insert_pq(i(triple(X1,X2,X5)),X3),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,negated_conjecture,
? [X1] :
( ! [X2,X3,X4] :
( ( ~ contains_cpq(triple(X2,X1,X3),X4)
| contains_pq(i(triple(X2,X1,X3)),X4) )
& ( ~ contains_pq(i(triple(X2,X1,X3)),X4)
| contains_cpq(triple(X2,X1,X3),X4) ) )
& ? [X5,X6,X7,X8,X9] :
( ( ~ contains_cpq(triple(X5,insert_slb(X1,pair(X7,X8)),X6),X9)
| ~ contains_pq(i(triple(X5,insert_slb(X1,pair(X7,X8)),X6)),X9) )
& ( contains_cpq(triple(X5,insert_slb(X1,pair(X7,X8)),X6),X9)
| contains_pq(i(triple(X5,insert_slb(X1,pair(X7,X8)),X6)),X9) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(33,negated_conjecture,
? [X10] :
( ! [X11,X12,X13] :
( ( ~ contains_cpq(triple(X11,X10,X12),X13)
| contains_pq(i(triple(X11,X10,X12)),X13) )
& ( ~ contains_pq(i(triple(X11,X10,X12)),X13)
| contains_cpq(triple(X11,X10,X12),X13) ) )
& ? [X14,X15,X16,X17,X18] :
( ( ~ contains_cpq(triple(X14,insert_slb(X10,pair(X16,X17)),X15),X18)
| ~ contains_pq(i(triple(X14,insert_slb(X10,pair(X16,X17)),X15)),X18) )
& ( contains_cpq(triple(X14,insert_slb(X10,pair(X16,X17)),X15),X18)
| contains_pq(i(triple(X14,insert_slb(X10,pair(X16,X17)),X15)),X18) ) ) ),
inference(variable_rename,[status(thm)],[32]) ).
fof(34,negated_conjecture,
( ! [X11,X12,X13] :
( ( ~ contains_cpq(triple(X11,esk1_0,X12),X13)
| contains_pq(i(triple(X11,esk1_0,X12)),X13) )
& ( ~ contains_pq(i(triple(X11,esk1_0,X12)),X13)
| contains_cpq(triple(X11,esk1_0,X12),X13) ) )
& ( ~ contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0)
| ~ contains_pq(i(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)),esk6_0) )
& ( contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0)
| contains_pq(i(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)),esk6_0) ) ),
inference(skolemize,[status(esa)],[33]) ).
fof(35,negated_conjecture,
! [X11,X12,X13] :
( ( ~ contains_cpq(triple(X11,esk1_0,X12),X13)
| contains_pq(i(triple(X11,esk1_0,X12)),X13) )
& ( ~ contains_pq(i(triple(X11,esk1_0,X12)),X13)
| contains_cpq(triple(X11,esk1_0,X12),X13) )
& ( ~ contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0)
| ~ contains_pq(i(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)),esk6_0) )
& ( contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0)
| contains_pq(i(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)),esk6_0) ) ),
inference(shift_quantors,[status(thm)],[34]) ).
cnf(36,negated_conjecture,
( contains_pq(i(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)),esk6_0)
| contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,negated_conjecture,
( ~ contains_pq(i(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0)),esk6_0)
| ~ contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(38,negated_conjecture,
( contains_cpq(triple(X1,esk1_0,X2),X3)
| ~ contains_pq(i(triple(X1,esk1_0,X2)),X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(39,negated_conjecture,
( contains_pq(i(triple(X1,esk1_0,X2)),X3)
| ~ contains_cpq(triple(X1,esk1_0,X2),X3) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(40,plain,
contains_pq(insert_pq(X1,X2),X2),
inference(er,[status(thm)],[13,theory(equality)]) ).
cnf(43,plain,
contains_slb(insert_slb(X1,pair(X2,X3)),X2),
inference(er,[status(thm)],[27,theory(equality)]) ).
cnf(54,negated_conjecture,
( contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0)
| contains_pq(insert_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk4_0),esk6_0) ),
inference(rw,[status(thm)],[36,31,theory(equality)]) ).
cnf(55,negated_conjecture,
( contains_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk6_0)
| contains_pq(insert_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk4_0),esk6_0) ),
inference(spm,[status(thm)],[23,54,theory(equality)]) ).
cnf(56,negated_conjecture,
( ~ contains_cpq(triple(esk2_0,insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk3_0),esk6_0)
| ~ contains_pq(insert_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk4_0),esk6_0) ),
inference(rw,[status(thm)],[37,31,theory(equality)]) ).
cnf(57,negated_conjecture,
( ~ contains_pq(insert_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk4_0),esk6_0)
| ~ contains_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk6_0) ),
inference(spm,[status(thm)],[56,22,theory(equality)]) ).
cnf(93,negated_conjecture,
( ~ contains_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk6_0)
| ~ contains_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk6_0) ),
inference(spm,[status(thm)],[57,14,theory(equality)]) ).
cnf(94,negated_conjecture,
( ~ contains_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk6_0)
| ~ contains_slb(esk1_0,esk6_0) ),
inference(spm,[status(thm)],[93,28,theory(equality)]) ).
cnf(95,negated_conjecture,
( ~ contains_slb(esk1_0,esk6_0)
| ~ contains_cpq(triple(esk2_0,esk1_0,esk3_0),esk6_0) ),
inference(spm,[status(thm)],[94,39,theory(equality)]) ).
cnf(96,negated_conjecture,
~ contains_slb(esk1_0,esk6_0),
inference(csr,[status(thm)],[95,22]) ).
cnf(97,negated_conjecture,
( esk4_0 = esk6_0
| contains_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk6_0)
| contains_slb(insert_slb(esk1_0,pair(esk4_0,esk5_0)),esk6_0) ),
inference(spm,[status(thm)],[15,55,theory(equality)]) ).
cnf(99,negated_conjecture,
( esk4_0 = esk6_0
| contains_slb(esk1_0,esk6_0)
| contains_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk6_0) ),
inference(spm,[status(thm)],[29,97,theory(equality)]) ).
cnf(101,negated_conjecture,
( esk6_0 = esk4_0
| contains_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk6_0) ),
inference(sr,[status(thm)],[99,96,theory(equality)]) ).
cnf(102,negated_conjecture,
( contains_cpq(triple(esk2_0,esk1_0,esk3_0),esk6_0)
| esk6_0 = esk4_0 ),
inference(spm,[status(thm)],[38,101,theory(equality)]) ).
cnf(104,negated_conjecture,
( contains_slb(esk1_0,esk6_0)
| esk6_0 = esk4_0 ),
inference(spm,[status(thm)],[23,102,theory(equality)]) ).
cnf(105,negated_conjecture,
esk6_0 = esk4_0,
inference(sr,[status(thm)],[104,96,theory(equality)]) ).
cnf(119,negated_conjecture,
( $false
| ~ contains_pq(insert_pq(i(triple(esk2_0,esk1_0,esk3_0)),esk4_0),esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[57,105,theory(equality)]),43,theory(equality)]) ).
cnf(120,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[119,105,theory(equality)]),40,theory(equality)]) ).
cnf(121,negated_conjecture,
$false,
inference(cn,[status(thm)],[120,theory(equality)]) ).
cnf(122,negated_conjecture,
$false,
121,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV370+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/tmp7RkKhv/sel_SWV370+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV370+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV370+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV370+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
%
%------------------------------------------------------------------------------