TSTP Solution File: SWC404+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC404+1 : TPTP v5.0.0. Released v2.4.0.
% 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 11:48:45 EST 2010
% Result : Theorem 0.95s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 384 ( 74 equ)
% Maximal formula atoms : 29 ( 7 avg)
% Number of connectives : 530 ( 200 ~; 193 |; 107 &)
% ( 1 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 88 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/tmp/tmp_JNdLD/sel_SWC404+1.p_1',ax82) ).
fof(13,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/tmp/tmp_JNdLD/sel_SWC404+1.p_1',ax26) ).
fof(29,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/tmp/tmp_JNdLD/sel_SWC404+1.p_1',ax36) ).
fof(38,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ strictorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& lt(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& lt(X13,X11) ) ) ) ) ) ) )
| ! [X15] :
( ssItem(X15)
=> ( ~ memberP(X1,X15)
| memberP(X2,X15) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
file('/tmp/tmp_JNdLD/sel_SWC404+1.p_1',co1) ).
fof(39,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ strictorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& lt(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& lt(X13,X11) ) ) ) ) ) ) )
| ! [X15] :
( ssItem(X15)
=> ( ~ memberP(X1,X15)
| memberP(X2,X15) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[38]) ).
fof(43,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,X3),X6) != X4
| ~ strictorderedP(X3)
| ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X5
& ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(cons(X9,nil),X10) = X3
& lt(X7,X9) ) ) ) )
| ? [X11] :
( ssItem(X11)
& ? [X12] :
( ssList(X12)
& app(cons(X11,nil),X12) = X6
& ? [X13] :
( ssItem(X13)
& ? [X14] :
( ssList(X14)
& app(X14,cons(X13,nil)) = X3
& lt(X13,X11) ) ) ) ) ) ) )
| ! [X15] :
( ssItem(X15)
=> ( ~ memberP(X1,X15)
| memberP(X2,X15) ) )
| ( nil != X4
& nil = X3 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[39,theory(equality)]) ).
fof(66,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(67,plain,
! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X4,X5),X6) = app(X4,app(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,plain,
! [X4,X5,X6] :
( ~ ssList(X6)
| app(app(X4,X5),X6) = app(X4,app(X5,X6))
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(shift_quantors,[status(thm)],[67]) ).
cnf(69,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(89,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ssList(app(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(90,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ssList(app(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[89]) ).
fof(91,plain,
! [X3,X4] :
( ~ ssList(X4)
| ssList(app(X3,X4))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[90]) ).
cnf(92,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(166,plain,
! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ( ( ~ memberP(app(X2,X3),X1)
| memberP(X2,X1)
| memberP(X3,X1) )
& ( ( ~ memberP(X2,X1)
& ~ memberP(X3,X1) )
| memberP(app(X2,X3),X1) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(167,plain,
! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4) )
& ( ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) )
| memberP(app(X5,X6),X4) ) ) ) ) ),
inference(variable_rename,[status(thm)],[166]) ).
fof(168,plain,
! [X4,X5,X6] :
( ~ ssList(X6)
| ( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4) )
& ( ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) )
| memberP(app(X5,X6),X4) ) )
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(shift_quantors,[status(thm)],[167]) ).
fof(169,plain,
! [X4,X5,X6] :
( ( ~ memberP(app(X5,X6),X4)
| memberP(X5,X4)
| memberP(X6,X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X5,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) )
& ( ~ memberP(X6,X4)
| memberP(app(X5,X6),X4)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ) ),
inference(distribute,[status(thm)],[168]) ).
cnf(170,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
cnf(171,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
fof(218,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,X3),X6) = X4
& strictorderedP(X3)
& ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X5
| ! [X9] :
( ~ ssItem(X9)
| ! [X10] :
( ~ ssList(X10)
| app(cons(X9,nil),X10) != X3
| ~ lt(X7,X9) ) ) ) )
& ! [X11] :
( ~ ssItem(X11)
| ! [X12] :
( ~ ssList(X12)
| app(cons(X11,nil),X12) != X6
| ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(X14,cons(X13,nil)) != X3
| ~ lt(X13,X11) ) ) ) ) ) )
& ? [X15] :
( ssItem(X15)
& memberP(X1,X15)
& ~ memberP(X2,X15) )
& ( nil = X4
| nil != X3 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(219,negated_conjecture,
? [X16] :
( ssList(X16)
& ? [X17] :
( ssList(X17)
& ? [X18] :
( ssList(X18)
& ? [X19] :
( ssList(X19)
& X17 = X19
& X16 = X18
& ? [X20] :
( ssList(X20)
& ? [X21] :
( ssList(X21)
& app(app(X20,X18),X21) = X19
& strictorderedP(X18)
& ! [X22] :
( ~ ssItem(X22)
| ! [X23] :
( ~ ssList(X23)
| app(X23,cons(X22,nil)) != X20
| ! [X24] :
( ~ ssItem(X24)
| ! [X25] :
( ~ ssList(X25)
| app(cons(X24,nil),X25) != X18
| ~ lt(X22,X24) ) ) ) )
& ! [X26] :
( ~ ssItem(X26)
| ! [X27] :
( ~ ssList(X27)
| app(cons(X26,nil),X27) != X21
| ! [X28] :
( ~ ssItem(X28)
| ! [X29] :
( ~ ssList(X29)
| app(X29,cons(X28,nil)) != X18
| ~ lt(X28,X26) ) ) ) ) ) )
& ? [X30] :
( ssItem(X30)
& memberP(X16,X30)
& ~ memberP(X17,X30) )
& ( nil = X19
| nil != X18 ) ) ) ) ),
inference(variable_rename,[status(thm)],[218]) ).
fof(220,negated_conjecture,
( ssList(esk13_0)
& ssList(esk14_0)
& ssList(esk15_0)
& ssList(esk16_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ssList(esk17_0)
& ssList(esk18_0)
& app(app(esk17_0,esk15_0),esk18_0) = esk16_0
& strictorderedP(esk15_0)
& ! [X22] :
( ~ ssItem(X22)
| ! [X23] :
( ~ ssList(X23)
| app(X23,cons(X22,nil)) != esk17_0
| ! [X24] :
( ~ ssItem(X24)
| ! [X25] :
( ~ ssList(X25)
| app(cons(X24,nil),X25) != esk15_0
| ~ lt(X22,X24) ) ) ) )
& ! [X26] :
( ~ ssItem(X26)
| ! [X27] :
( ~ ssList(X27)
| app(cons(X26,nil),X27) != esk18_0
| ! [X28] :
( ~ ssItem(X28)
| ! [X29] :
( ~ ssList(X29)
| app(X29,cons(X28,nil)) != esk15_0
| ~ lt(X28,X26) ) ) ) )
& ssItem(esk19_0)
& memberP(esk13_0,esk19_0)
& ~ memberP(esk14_0,esk19_0)
& ( nil = esk16_0
| nil != esk15_0 ) ),
inference(skolemize,[status(esa)],[219]) ).
fof(221,negated_conjecture,
! [X22,X23,X24,X25,X26,X27,X28,X29] :
( ( ~ ssList(X29)
| app(X29,cons(X28,nil)) != esk15_0
| ~ lt(X28,X26)
| ~ ssItem(X28)
| ~ ssList(X27)
| app(cons(X26,nil),X27) != esk18_0
| ~ ssItem(X26) )
& ( ~ ssList(X25)
| app(cons(X24,nil),X25) != esk15_0
| ~ lt(X22,X24)
| ~ ssItem(X24)
| ~ ssList(X23)
| app(X23,cons(X22,nil)) != esk17_0
| ~ ssItem(X22) )
& app(app(esk17_0,esk15_0),esk18_0) = esk16_0
& strictorderedP(esk15_0)
& ssList(esk18_0)
& ssList(esk17_0)
& esk14_0 = esk16_0
& esk13_0 = esk15_0
& ssItem(esk19_0)
& memberP(esk13_0,esk19_0)
& ~ memberP(esk14_0,esk19_0)
& ( nil = esk16_0
| nil != esk15_0 )
& ssList(esk16_0)
& ssList(esk15_0)
& ssList(esk14_0)
& ssList(esk13_0) ),
inference(shift_quantors,[status(thm)],[220]) ).
cnf(222,negated_conjecture,
ssList(esk13_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(227,negated_conjecture,
~ memberP(esk14_0,esk19_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(228,negated_conjecture,
memberP(esk13_0,esk19_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(229,negated_conjecture,
ssItem(esk19_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(230,negated_conjecture,
esk13_0 = esk15_0,
inference(split_conjunct,[status(thm)],[221]) ).
cnf(231,negated_conjecture,
esk14_0 = esk16_0,
inference(split_conjunct,[status(thm)],[221]) ).
cnf(232,negated_conjecture,
ssList(esk17_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(233,negated_conjecture,
ssList(esk18_0),
inference(split_conjunct,[status(thm)],[221]) ).
cnf(235,negated_conjecture,
app(app(esk17_0,esk15_0),esk18_0) = esk16_0,
inference(split_conjunct,[status(thm)],[221]) ).
cnf(238,negated_conjecture,
ssList(esk15_0),
inference(rw,[status(thm)],[222,230,theory(equality)]) ).
cnf(240,negated_conjecture,
memberP(esk15_0,esk19_0),
inference(rw,[status(thm)],[228,230,theory(equality)]) ).
cnf(243,negated_conjecture,
~ memberP(esk16_0,esk19_0),
inference(rw,[status(thm)],[227,231,theory(equality)]) ).
cnf(387,negated_conjecture,
( app(esk17_0,app(esk15_0,esk18_0)) = esk16_0
| ~ ssList(esk18_0)
| ~ ssList(esk15_0)
| ~ ssList(esk17_0) ),
inference(spm,[status(thm)],[235,69,theory(equality)]) ).
cnf(400,plain,
( memberP(app(X1,app(X2,X3)),X4)
| ~ memberP(app(X1,X2),X4)
| ~ ssList(X3)
| ~ ssList(app(X1,X2))
| ~ ssItem(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[171,69,theory(equality)]) ).
cnf(2604,negated_conjecture,
( app(esk17_0,app(esk15_0,esk18_0)) = esk16_0
| ~ ssList(esk18_0)
| $false
| ~ ssList(esk17_0) ),
inference(rw,[status(thm)],[387,238,theory(equality)]) ).
cnf(2605,negated_conjecture,
( app(esk17_0,app(esk15_0,esk18_0)) = esk16_0
| ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[2604,theory(equality)]) ).
cnf(7007,plain,
( memberP(app(X1,app(X2,X3)),X4)
| ~ memberP(app(X1,X2),X4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X4) ),
inference(csr,[status(thm)],[400,92]) ).
cnf(7053,negated_conjecture,
( memberP(esk16_0,X1)
| ~ memberP(app(esk17_0,esk15_0),X1)
| ~ ssList(esk18_0)
| ~ ssList(esk15_0)
| ~ ssList(esk17_0)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[7007,2605,theory(equality)]) ).
cnf(7113,negated_conjecture,
( memberP(esk16_0,X1)
| ~ memberP(app(esk17_0,esk15_0),X1)
| ~ ssList(esk18_0)
| $false
| ~ ssList(esk17_0)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[7053,238,theory(equality)]) ).
cnf(7114,negated_conjecture,
( memberP(esk16_0,X1)
| ~ memberP(app(esk17_0,esk15_0),X1)
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[7113,theory(equality)]) ).
cnf(14663,negated_conjecture,
( memberP(esk16_0,X1)
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssItem(X1)
| ~ memberP(esk15_0,X1)
| ~ ssList(esk15_0) ),
inference(spm,[status(thm)],[7114,170,theory(equality)]) ).
cnf(14678,negated_conjecture,
( memberP(esk16_0,X1)
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssItem(X1)
| ~ memberP(esk15_0,X1)
| $false ),
inference(rw,[status(thm)],[14663,238,theory(equality)]) ).
cnf(14679,negated_conjecture,
( memberP(esk16_0,X1)
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssItem(X1)
| ~ memberP(esk15_0,X1) ),
inference(cn,[status(thm)],[14678,theory(equality)]) ).
cnf(14684,negated_conjecture,
( ~ memberP(esk15_0,esk19_0)
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk19_0) ),
inference(spm,[status(thm)],[243,14679,theory(equality)]) ).
cnf(14689,negated_conjecture,
( $false
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| ~ ssItem(esk19_0) ),
inference(rw,[status(thm)],[14684,240,theory(equality)]) ).
cnf(14690,negated_conjecture,
( $false
| ~ ssList(esk18_0)
| ~ ssList(esk17_0)
| $false ),
inference(rw,[status(thm)],[14689,229,theory(equality)]) ).
cnf(14691,negated_conjecture,
( ~ ssList(esk18_0)
| ~ ssList(esk17_0) ),
inference(cn,[status(thm)],[14690,theory(equality)]) ).
cnf(14698,negated_conjecture,
~ ssList(esk17_0),
inference(spm,[status(thm)],[14691,233,theory(equality)]) ).
cnf(14877,negated_conjecture,
$false,
inference(sr,[status(thm)],[232,14698,theory(equality)]) ).
cnf(14878,negated_conjecture,
$false,
14877,
[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/SWC/SWC404+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp_JNdLD/sel_SWC404+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC404+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC404+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC404+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
%
%------------------------------------------------------------------------------