TSTP Solution File: SWV400+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV400+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 12:38:23 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 6 sgn 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
file('/tmp/tmpv8XWZM/sel_SWV400+1.p_1',ax22) ).
fof(10,conjecture,
! [X1,X2,X3,X4] :
( ( pair_in_list(create_slb,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(create_slb,X4),X2,X3) ),
file('/tmp/tmpv8XWZM/sel_SWV400+1.p_1',l36_co) ).
fof(11,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( pair_in_list(create_slb,X2,X3)
& less_than(X4,X3) )
=> pair_in_list(update_slb(create_slb,X4),X2,X3) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(13,plain,
! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(41,plain,
! [X3,X4] : ~ pair_in_list(create_slb,X3,X4),
inference(variable_rename,[status(thm)],[13]) ).
cnf(42,plain,
~ pair_in_list(create_slb,X1,X2),
inference(split_conjunct,[status(thm)],[41]) ).
fof(43,negated_conjecture,
? [X1,X2,X3,X4] :
( pair_in_list(create_slb,X2,X3)
& less_than(X4,X3)
& ~ pair_in_list(update_slb(create_slb,X4),X2,X3) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(44,negated_conjecture,
? [X5,X6,X7,X8] :
( pair_in_list(create_slb,X6,X7)
& less_than(X8,X7)
& ~ pair_in_list(update_slb(create_slb,X8),X6,X7) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,negated_conjecture,
( pair_in_list(create_slb,esk2_0,esk3_0)
& less_than(esk4_0,esk3_0)
& ~ pair_in_list(update_slb(create_slb,esk4_0),esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[44]) ).
cnf(48,negated_conjecture,
pair_in_list(create_slb,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(49,negated_conjecture,
$false,
inference(sr,[status(thm)],[48,42,theory(equality)]) ).
cnf(50,negated_conjecture,
$false,
49,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV400+1.p
% --creating new selector for [SWV007+0.ax, SWV007+2.ax]
% -running prover on /tmp/tmpv8XWZM/sel_SWV400+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV400+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV400+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV400+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
%
%------------------------------------------------------------------------------