TSTP Solution File: SCT159+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SCT159+1 : TPTP v5.2.0. Released v5.2.0.
% 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 Mar 6 14:48:13 EST 2011
% Result : Theorem 1.94s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 22 |; 10 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 59 ( 2 sgn 40 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(89,axiom,
! [X41] :
( c_Finite__Set_Ofinite(tc_Nat_Onat,X41)
<=> ? [X31] :
! [X25] :
( c_member(tc_Nat_Onat,X25,X41)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X31) ) ),
file('/tmp/tmpVx5fvG/sel_SCT159+1.p_1',fact_finite__nat__set__iff__bounded__le) ).
fof(97,axiom,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/tmp/tmpVx5fvG/sel_SCT159+1.p_1',fact_finite__indi) ).
fof(108,axiom,
! [X13,X17,X34,X3] :
( c_Finite__Set_Ofinite(X3,X34)
=> c_Finite__Set_Ofinite(X17,c_Set_Oimage(X3,X17,X13,X34)) ),
file('/tmp/tmpVx5fvG/sel_SCT159+1.p_1',fact_finite__imageI) ).
fof(160,axiom,
! [X12] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X12),X12),
file('/tmp/tmpVx5fvG/sel_SCT159+1.p_1',fact_Suc__n__not__le__n) ).
fof(409,axiom,
! [X17,X22,X16,X3] : c_member(X3,hAPP(X16,X22),c_Set_Oimage(X17,X3,X16,c_Orderings_Otop__class_Otop(tc_fun(X17,tc_HOL_Obool)))),
file('/tmp/tmpVx5fvG/sel_SCT159+1.p_1',fact_rangeI) ).
fof(556,plain,
! [X12] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X12),X12),
inference(fof_simplification,[status(thm)],[160,theory(equality)]) ).
fof(916,plain,
! [X41] :
( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X41)
| ? [X31] :
! [X25] :
( ~ c_member(tc_Nat_Onat,X25,X41)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X31) ) )
& ( ! [X31] :
? [X25] :
( c_member(tc_Nat_Onat,X25,X41)
& ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25,X31) )
| c_Finite__Set_Ofinite(tc_Nat_Onat,X41) ) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(917,plain,
! [X42] :
( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X42)
| ? [X43] :
! [X44] :
( ~ c_member(tc_Nat_Onat,X44,X42)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X44,X43) ) )
& ( ! [X45] :
? [X46] :
( c_member(tc_Nat_Onat,X46,X42)
& ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X46,X45) )
| c_Finite__Set_Ofinite(tc_Nat_Onat,X42) ) ),
inference(variable_rename,[status(thm)],[916]) ).
fof(918,plain,
! [X42] :
( ( ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X42)
| ! [X44] :
( ~ c_member(tc_Nat_Onat,X44,X42)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X44,esk10_1(X42)) ) )
& ( ! [X45] :
( c_member(tc_Nat_Onat,esk11_2(X42,X45),X42)
& ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_2(X42,X45),X45) )
| c_Finite__Set_Ofinite(tc_Nat_Onat,X42) ) ),
inference(skolemize,[status(esa)],[917]) ).
fof(919,plain,
! [X42,X44,X45] :
( ( ( c_member(tc_Nat_Onat,esk11_2(X42,X45),X42)
& ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_2(X42,X45),X45) )
| c_Finite__Set_Ofinite(tc_Nat_Onat,X42) )
& ( ~ c_member(tc_Nat_Onat,X44,X42)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X44,esk10_1(X42))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X42) ) ),
inference(shift_quantors,[status(thm)],[918]) ).
fof(920,plain,
! [X42,X44,X45] :
( ( c_member(tc_Nat_Onat,esk11_2(X42,X45),X42)
| c_Finite__Set_Ofinite(tc_Nat_Onat,X42) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_2(X42,X45),X45)
| c_Finite__Set_Ofinite(tc_Nat_Onat,X42) )
& ( ~ c_member(tc_Nat_Onat,X44,X42)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X44,esk10_1(X42))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X42) ) ),
inference(distribute,[status(thm)],[919]) ).
cnf(921,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk10_1(X1))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1)
| ~ c_member(tc_Nat_Onat,X2,X1) ),
inference(split_conjunct,[status(thm)],[920]) ).
cnf(960,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[97]) ).
fof(988,plain,
! [X13,X17,X34,X3] :
( ~ c_Finite__Set_Ofinite(X3,X34)
| c_Finite__Set_Ofinite(X17,c_Set_Oimage(X3,X17,X13,X34)) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(989,plain,
! [X35,X36,X37,X38] :
( ~ c_Finite__Set_Ofinite(X38,X37)
| c_Finite__Set_Ofinite(X36,c_Set_Oimage(X38,X36,X35,X37)) ),
inference(variable_rename,[status(thm)],[988]) ).
cnf(990,plain,
( c_Finite__Set_Ofinite(X1,c_Set_Oimage(X2,X1,X3,X4))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
inference(split_conjunct,[status(thm)],[989]) ).
fof(1184,plain,
! [X13] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X13),X13),
inference(variable_rename,[status(thm)],[556]) ).
cnf(1185,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X1),
inference(split_conjunct,[status(thm)],[1184]) ).
fof(2008,plain,
! [X23,X24,X25,X26] : c_member(X26,hAPP(X25,X24),c_Set_Oimage(X23,X26,X25,c_Orderings_Otop__class_Otop(tc_fun(X23,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[409]) ).
cnf(2009,plain,
c_member(X1,hAPP(X2,X3),c_Set_Oimage(X4,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[2008]) ).
cnf(3750,plain,
( ~ c_member(tc_Nat_Onat,hAPP(c_Nat_OSuc,esk10_1(X1)),X1)
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X1) ),
inference(spm,[status(thm)],[1185,921,theory(equality)]) ).
cnf(16681,plain,
~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Set_Oimage(X1,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(spm,[status(thm)],[3750,2009,theory(equality)]) ).
cnf(21299,plain,
~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(spm,[status(thm)],[16681,990,theory(equality)]) ).
cnf(21315,plain,
$false,
inference(sr,[status(thm)],[960,21299,theory(equality)]) ).
cnf(21316,plain,
$false,
21315,
[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/SWW/SCT159+1.p
% --creating new selector for []
% -running prover on /tmp/tmpVx5fvG/sel_SCT159+1.p_1 with time limit 29
% -prover status Theorem
% Problem SCT159+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SCT159+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SCT159+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
%
%------------------------------------------------------------------------------