TSTP Solution File: SWW209+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW209+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 Mar 6 15:03:03 EST 2011
% Result : Theorem 5.49s
% Output : CNFRefutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 37 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 6 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 42 ( 3 sgn 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(437,axiom,
! [X40,X41] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X40),hAPP(v_ga____,X41)) ),
file('/tmp/tmp26jwmu/sel_SWW209+1.p_1',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096) ).
fof(692,conjecture,
! [X40,X41] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X40),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X41)) ),
file('/tmp/tmp26jwmu/sel_SWW209+1.p_1',conj_0) ).
fof(704,axiom,
! [X40,X41] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X40),hAPP(v_f____,X41)) ),
file('/tmp/tmp26jwmu/sel_SWW209+1.p_1',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096) ).
fof(767,axiom,
! [X10,X1,X2,X26,X3,X4] : hAPP(hAPP(c_Fun_Ocomp(X4,X3,X26,X2),X1),X10) = hAPP(X2,hAPP(X1,X10)),
file('/tmp/tmp26jwmu/sel_SWW209+1.p_1',fact_o__apply) ).
fof(1162,negated_conjecture,
~ ! [X40,X41] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X40),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X41)) ),
inference(assume_negation,[status(cth)],[692]) ).
fof(2603,plain,
! [X40,X41] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X40),hAPP(v_ga____,X41)) ),
inference(fof_nnf,[status(thm)],[437]) ).
fof(2604,plain,
! [X42,X43] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X43)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X42),hAPP(v_ga____,X43)) ),
inference(variable_rename,[status(thm)],[2603]) ).
cnf(2605,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X1),hAPP(v_ga____,X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[2604]) ).
fof(3388,negated_conjecture,
? [X40,X41] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
& ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X40),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X41)) ),
inference(fof_nnf,[status(thm)],[1162]) ).
fof(3389,negated_conjecture,
? [X42,X43] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X43)
& ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X42),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X43)) ),
inference(variable_rename,[status(thm)],[3388]) ).
fof(3390,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk20_0,esk21_0)
& ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk20_0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk21_0)) ),
inference(skolemize,[status(esa)],[3389]) ).
cnf(3391,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk20_0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),esk21_0)),
inference(split_conjunct,[status(thm)],[3390]) ).
cnf(3392,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[3390]) ).
fof(3430,plain,
! [X40,X41] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X40,X41)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X40),hAPP(v_f____,X41)) ),
inference(fof_nnf,[status(thm)],[704]) ).
fof(3431,plain,
! [X42,X43] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X43)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X42),hAPP(v_f____,X43)) ),
inference(variable_rename,[status(thm)],[3430]) ).
cnf(3432,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X1),hAPP(v_f____,X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[3431]) ).
fof(3630,plain,
! [X27,X28,X29,X30,X31,X32] : hAPP(hAPP(c_Fun_Ocomp(X32,X31,X30,X29),X28),X27) = hAPP(X29,hAPP(X28,X27)),
inference(variable_rename,[status(thm)],[767]) ).
cnf(3631,plain,
hAPP(hAPP(c_Fun_Ocomp(X1,X2,X3,X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[3630]) ).
cnf(10698,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,esk20_0)),hAPP(v_f____,hAPP(v_ga____,esk21_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3391,3631,theory(equality)]),3631,theory(equality)]) ).
cnf(98176,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,esk20_0),hAPP(v_ga____,esk21_0)),
inference(spm,[status(thm)],[10698,3432,theory(equality)]) ).
cnf(98177,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk20_0,esk21_0),
inference(spm,[status(thm)],[98176,2605,theory(equality)]) ).
cnf(98178,negated_conjecture,
$false,
inference(rw,[status(thm)],[98177,3392,theory(equality)]) ).
cnf(98179,negated_conjecture,
$false,
inference(cn,[status(thm)],[98178,theory(equality)]) ).
cnf(98180,negated_conjecture,
$false,
98179,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW209+1.p
% --creating new selector for []
% -running prover on /tmp/tmp26jwmu/sel_SWW209+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWW209+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW209+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW209+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
%
%------------------------------------------------------------------------------