TSTP Solution File: SWV381+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV381+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 12:36:35 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 5 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 143 ( 57 ~; 52 |; 25 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 106 ( 0 sgn 68 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/tmp/tmpwKwpCR/sel_SWV381+1.p_1',totality) ).
fof(15,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/tmp/tmpwKwpCR/sel_SWV381+1.p_1',stricly_smaller_definition) ).
fof(19,axiom,
! [X1,X2] :
( issmallestelement_pq(X1,X2)
<=> ! [X3] :
( contains_pq(X1,X3)
=> less_than(X2,X3) ) ),
file('/tmp/tmpwKwpCR/sel_SWV381+1.p_1',ax10) ).
fof(28,axiom,
! [X1,X2,X3] :
( ? [X4] :
( contains_cpq(triple(X1,X2,X3),X4)
& strictly_less_than(X4,findmin_cpq_res(triple(X1,X2,X3))) )
=> ~ phi(findmin_cpq_eff(triple(X1,X2,X3))) ),
file('/tmp/tmpwKwpCR/sel_SWV381+1.p_1',l17_l18) ).
fof(29,conjecture,
! [X1,X2,X3] :
( phi(findmin_cpq_eff(triple(X1,X2,X3)))
=> issmallestelement_pq(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3))) ),
file('/tmp/tmpwKwpCR/sel_SWV381+1.p_1',l17_co) ).
fof(30,axiom,
! [X1,X2,X3,X4] :
( contains_cpq(triple(X1,X2,X3),X4)
<=> contains_pq(i(triple(X1,X2,X3)),X4) ),
file('/tmp/tmpwKwpCR/sel_SWV381+1.p_1',l17_li56) ).
fof(31,negated_conjecture,
~ ! [X1,X2,X3] :
( phi(findmin_cpq_eff(triple(X1,X2,X3)))
=> issmallestelement_pq(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3))) ),
inference(assume_negation,[status(cth)],[29]) ).
fof(34,plain,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(36,plain,
! [X1,X2,X3] :
( ? [X4] :
( contains_cpq(triple(X1,X2,X3),X4)
& strictly_less_than(X4,findmin_cpq_res(triple(X1,X2,X3))) )
=> ~ phi(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(83,plain,
! [X3,X4] :
( less_than(X3,X4)
| less_than(X4,X3) ),
inference(variable_rename,[status(thm)],[14]) ).
cnf(84,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(85,plain,
! [X1,X2] :
( ( ~ strictly_less_than(X1,X2)
| ( less_than(X1,X2)
& ~ less_than(X2,X1) ) )
& ( ~ less_than(X1,X2)
| less_than(X2,X1)
| strictly_less_than(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(86,plain,
! [X3,X4] :
( ( ~ strictly_less_than(X3,X4)
| ( less_than(X3,X4)
& ~ less_than(X4,X3) ) )
& ( ~ less_than(X3,X4)
| less_than(X4,X3)
| strictly_less_than(X3,X4) ) ),
inference(variable_rename,[status(thm)],[85]) ).
fof(87,plain,
! [X3,X4] :
( ( less_than(X3,X4)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X4,X3)
| ~ strictly_less_than(X3,X4) )
& ( ~ less_than(X3,X4)
| less_than(X4,X3)
| strictly_less_than(X3,X4) ) ),
inference(distribute,[status(thm)],[86]) ).
cnf(88,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(99,plain,
! [X1,X2] :
( ( ~ issmallestelement_pq(X1,X2)
| ! [X3] :
( ~ contains_pq(X1,X3)
| less_than(X2,X3) ) )
& ( ? [X3] :
( contains_pq(X1,X3)
& ~ less_than(X2,X3) )
| issmallestelement_pq(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(100,plain,
! [X4,X5] :
( ( ~ issmallestelement_pq(X4,X5)
| ! [X6] :
( ~ contains_pq(X4,X6)
| less_than(X5,X6) ) )
& ( ? [X7] :
( contains_pq(X4,X7)
& ~ less_than(X5,X7) )
| issmallestelement_pq(X4,X5) ) ),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,plain,
! [X4,X5] :
( ( ~ issmallestelement_pq(X4,X5)
| ! [X6] :
( ~ contains_pq(X4,X6)
| less_than(X5,X6) ) )
& ( ( contains_pq(X4,esk2_2(X4,X5))
& ~ less_than(X5,esk2_2(X4,X5)) )
| issmallestelement_pq(X4,X5) ) ),
inference(skolemize,[status(esa)],[100]) ).
fof(102,plain,
! [X4,X5,X6] :
( ( ~ contains_pq(X4,X6)
| less_than(X5,X6)
| ~ issmallestelement_pq(X4,X5) )
& ( ( contains_pq(X4,esk2_2(X4,X5))
& ~ less_than(X5,esk2_2(X4,X5)) )
| issmallestelement_pq(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[101]) ).
fof(103,plain,
! [X4,X5,X6] :
( ( ~ contains_pq(X4,X6)
| less_than(X5,X6)
| ~ issmallestelement_pq(X4,X5) )
& ( contains_pq(X4,esk2_2(X4,X5))
| issmallestelement_pq(X4,X5) )
& ( ~ less_than(X5,esk2_2(X4,X5))
| issmallestelement_pq(X4,X5) ) ),
inference(distribute,[status(thm)],[102]) ).
cnf(104,plain,
( issmallestelement_pq(X1,X2)
| ~ less_than(X2,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[103]) ).
cnf(105,plain,
( issmallestelement_pq(X1,X2)
| contains_pq(X1,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(131,plain,
! [X1,X2,X3] :
( ! [X4] :
( ~ contains_cpq(triple(X1,X2,X3),X4)
| ~ strictly_less_than(X4,findmin_cpq_res(triple(X1,X2,X3))) )
| ~ phi(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(132,plain,
! [X5,X6,X7] :
( ! [X8] :
( ~ contains_cpq(triple(X5,X6,X7),X8)
| ~ strictly_less_than(X8,findmin_cpq_res(triple(X5,X6,X7))) )
| ~ phi(findmin_cpq_eff(triple(X5,X6,X7))) ),
inference(variable_rename,[status(thm)],[131]) ).
fof(133,plain,
! [X5,X6,X7,X8] :
( ~ contains_cpq(triple(X5,X6,X7),X8)
| ~ strictly_less_than(X8,findmin_cpq_res(triple(X5,X6,X7)))
| ~ phi(findmin_cpq_eff(triple(X5,X6,X7))) ),
inference(shift_quantors,[status(thm)],[132]) ).
cnf(134,plain,
( ~ phi(findmin_cpq_eff(triple(X1,X2,X3)))
| ~ strictly_less_than(X4,findmin_cpq_res(triple(X1,X2,X3)))
| ~ contains_cpq(triple(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(135,negated_conjecture,
? [X1,X2,X3] :
( phi(findmin_cpq_eff(triple(X1,X2,X3)))
& ~ issmallestelement_pq(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3))) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(136,negated_conjecture,
? [X4,X5,X6] :
( phi(findmin_cpq_eff(triple(X4,X5,X6)))
& ~ issmallestelement_pq(i(triple(X4,X5,X6)),findmin_cpq_res(triple(X4,X5,X6))) ),
inference(variable_rename,[status(thm)],[135]) ).
fof(137,negated_conjecture,
( phi(findmin_cpq_eff(triple(esk3_0,esk4_0,esk5_0)))
& ~ issmallestelement_pq(i(triple(esk3_0,esk4_0,esk5_0)),findmin_cpq_res(triple(esk3_0,esk4_0,esk5_0))) ),
inference(skolemize,[status(esa)],[136]) ).
cnf(138,negated_conjecture,
~ issmallestelement_pq(i(triple(esk3_0,esk4_0,esk5_0)),findmin_cpq_res(triple(esk3_0,esk4_0,esk5_0))),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(139,negated_conjecture,
phi(findmin_cpq_eff(triple(esk3_0,esk4_0,esk5_0))),
inference(split_conjunct,[status(thm)],[137]) ).
fof(140,plain,
! [X1,X2,X3,X4] :
( ( ~ contains_cpq(triple(X1,X2,X3),X4)
| contains_pq(i(triple(X1,X2,X3)),X4) )
& ( ~ contains_pq(i(triple(X1,X2,X3)),X4)
| contains_cpq(triple(X1,X2,X3),X4) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(141,plain,
! [X5,X6,X7,X8] :
( ( ~ contains_cpq(triple(X5,X6,X7),X8)
| contains_pq(i(triple(X5,X6,X7)),X8) )
& ( ~ contains_pq(i(triple(X5,X6,X7)),X8)
| contains_cpq(triple(X5,X6,X7),X8) ) ),
inference(variable_rename,[status(thm)],[140]) ).
cnf(142,plain,
( contains_cpq(triple(X1,X2,X3),X4)
| ~ contains_pq(i(triple(X1,X2,X3)),X4) ),
inference(split_conjunct,[status(thm)],[141]) ).
cnf(155,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[88,84]) ).
cnf(172,plain,
( contains_cpq(triple(X1,X2,X3),esk2_2(i(triple(X1,X2,X3)),X4))
| issmallestelement_pq(i(triple(X1,X2,X3)),X4) ),
inference(spm,[status(thm)],[142,105,theory(equality)]) ).
cnf(179,plain,
( less_than(findmin_cpq_res(triple(X1,X2,X3)),X4)
| ~ contains_cpq(triple(X1,X2,X3),X4)
| ~ phi(findmin_cpq_eff(triple(X1,X2,X3))) ),
inference(spm,[status(thm)],[134,155,theory(equality)]) ).
cnf(217,negated_conjecture,
( less_than(findmin_cpq_res(triple(esk3_0,esk4_0,esk5_0)),X1)
| ~ contains_cpq(triple(esk3_0,esk4_0,esk5_0),X1) ),
inference(spm,[status(thm)],[179,139,theory(equality)]) ).
cnf(221,negated_conjecture,
( issmallestelement_pq(X1,findmin_cpq_res(triple(esk3_0,esk4_0,esk5_0)))
| ~ contains_cpq(triple(esk3_0,esk4_0,esk5_0),esk2_2(X1,findmin_cpq_res(triple(esk3_0,esk4_0,esk5_0)))) ),
inference(spm,[status(thm)],[104,217,theory(equality)]) ).
cnf(320,plain,
issmallestelement_pq(i(triple(esk3_0,esk4_0,esk5_0)),findmin_cpq_res(triple(esk3_0,esk4_0,esk5_0))),
inference(spm,[status(thm)],[221,172,theory(equality)]) ).
cnf(323,plain,
$false,
inference(sr,[status(thm)],[320,138,theory(equality)]) ).
cnf(324,plain,
$false,
323,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV381+1.p
% --creating new selector for [SWV007+4.ax, SWV007+3.ax, SWV007+0.ax, SWV007+1.ax, SWV007+2.ax]
% -running prover on /tmp/tmpwKwpCR/sel_SWV381+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV381+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV381+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV381+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
%
%------------------------------------------------------------------------------