TSTP Solution File: SWC075+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC075+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 10:12:24 EST 2010
% Result : Theorem 0.55s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 137 ( 31 unt; 0 def)
% Number of atoms : 525 ( 155 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 674 ( 286 ~; 281 |; 77 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn 95 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax84) ).
fof(3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax82) ).
fof(5,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( app(X2,X3) = app(X2,X1)
=> X3 = X1 ) ) ) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax80) ).
fof(6,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax28) ).
fof(8,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax26) ).
fof(13,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax7) ).
fof(18,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax15) ).
fof(20,axiom,
ssList(nil),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax17) ).
fof(23,axiom,
! [X1] :
( ssList(X1)
=> segmentP(X1,X1) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',ax55) ).
fof(26,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(X6,X7) != X4
| app(X7,X6) != X3 ) )
| ( nil = X2
& nil = X1 ) ) ) ) ),
file('/tmp/tmp3LrKlP/sel_SWC075+1.p_1',co1) ).
fof(27,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(X6,X7) != X4
| app(X7,X6) != X3 ) )
| ( nil = X2
& nil = X1 ) ) ) ) ),
inference(assume_negation,[status(cth)],[26]) ).
fof(28,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ~ ssList(X4)
| X2 != X4
| X1 != X3
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X2,X5)
& segmentP(X1,X5) )
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(X6,X7) != X4
| app(X7,X6) != X3 ) )
| ( nil = X2
& nil = X1 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[27,theory(equality)]) ).
fof(29,plain,
! [X1] :
( ~ ssList(X1)
| app(X1,nil) = X1 ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(30,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[29]) ).
cnf(31,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(39,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)],[3]) ).
fof(40,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)],[39]) ).
fof(41,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)],[40]) ).
cnf(42,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[41]) ).
fof(47,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,X3) != app(X2,X1)
| X3 = X1 ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(48,plain,
! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(X5,X6) != app(X5,X4)
| X6 = X4 ) ) ),
inference(variable_rename,[status(thm)],[47]) ).
fof(49,plain,
! [X4,X5,X6] :
( ~ ssList(X6)
| app(X5,X6) != app(X5,X4)
| X6 = X4
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(shift_quantors,[status(thm)],[48]) ).
cnf(50,plain,
( X3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X3) != app(X2,X1)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[49]) ).
fof(51,plain,
! [X1] :
( ~ ssList(X1)
| app(nil,X1) = X1 ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(52,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(53,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(58,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ssList(app(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(59,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ssList(app(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X3,X4] :
( ~ ssList(X4)
| ssList(app(X3,X4))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[59]) ).
cnf(61,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[60]) ).
fof(84,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ segmentP(X1,X2)
| ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) )
& ( ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(app(X3,X2),X4) != X1 ) )
| segmentP(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(85,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ segmentP(X5,X6)
| ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& app(app(X7,X6),X8) = X5 ) ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X9,X6),X10) != X5 ) )
| segmentP(X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[84]) ).
fof(86,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ segmentP(X5,X6)
| ( ssList(esk5_2(X5,X6))
& ssList(esk6_2(X5,X6))
& app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5 ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X9,X6),X10) != X5 ) )
| segmentP(X5,X6) ) ) ) ),
inference(skolemize,[status(esa)],[85]) ).
fof(87,plain,
! [X5,X6,X9,X10] :
( ( ( ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| ~ ssList(X9)
| segmentP(X5,X6) )
& ( ~ segmentP(X5,X6)
| ( ssList(esk5_2(X5,X6))
& ssList(esk6_2(X5,X6))
& app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5 ) ) )
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(shift_quantors,[status(thm)],[86]) ).
fof(88,plain,
! [X5,X6,X9,X10] :
( ( ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| ~ ssList(X9)
| segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk5_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk6_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) ) ),
inference(distribute,[status(thm)],[87]) ).
cnf(92,plain,
( segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X3,X2),X4) != X1
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[88]) ).
fof(112,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ neq(X1,X2)
| X1 != X2 )
& ( X1 = X2
| neq(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(113,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[112]) ).
fof(114,plain,
! [X3,X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) )
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[113]) ).
fof(115,plain,
! [X3,X4] :
( ( ~ neq(X3,X4)
| X3 != X4
| ~ ssList(X4)
| ~ ssList(X3) )
& ( X3 = X4
| neq(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[114]) ).
cnf(116,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[115]) ).
cnf(122,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[20]) ).
fof(131,plain,
! [X1] :
( ~ ssList(X1)
| segmentP(X1,X1) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(132,plain,
! [X2] :
( ~ ssList(X2)
| segmentP(X2,X2) ),
inference(variable_rename,[status(thm)],[131]) ).
cnf(133,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(141,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(X2,X5)
| ~ segmentP(X1,X5) )
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(X6,X7) = X4
& app(X7,X6) = X3 ) )
& ( nil != X2
| nil != X1 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(142,negated_conjecture,
? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& ? [X11] :
( ssList(X11)
& X9 = X11
& X8 = X10
& ! [X12] :
( ~ ssList(X12)
| ~ neq(X12,nil)
| ~ segmentP(X9,X12)
| ~ segmentP(X8,X12) )
& ? [X13] :
( ssList(X13)
& ? [X14] :
( ssList(X14)
& app(X13,X14) = X11
& app(X14,X13) = X10 ) )
& ( nil != X9
| nil != X8 ) ) ) ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,negated_conjecture,
( ssList(esk7_0)
& ssList(esk8_0)
& ssList(esk9_0)
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ! [X12] :
( ~ ssList(X12)
| ~ neq(X12,nil)
| ~ segmentP(esk8_0,X12)
| ~ segmentP(esk7_0,X12) )
& ssList(esk11_0)
& ssList(esk12_0)
& app(esk11_0,esk12_0) = esk10_0
& app(esk12_0,esk11_0) = esk9_0
& ( nil != esk8_0
| nil != esk7_0 ) ),
inference(skolemize,[status(esa)],[142]) ).
fof(144,negated_conjecture,
! [X12] :
( ( ~ ssList(X12)
| ~ neq(X12,nil)
| ~ segmentP(esk8_0,X12)
| ~ segmentP(esk7_0,X12) )
& ssList(esk10_0)
& esk8_0 = esk10_0
& esk7_0 = esk9_0
& ssList(esk11_0)
& ssList(esk12_0)
& app(esk11_0,esk12_0) = esk10_0
& app(esk12_0,esk11_0) = esk9_0
& ( nil != esk8_0
| nil != esk7_0 )
& ssList(esk9_0)
& ssList(esk8_0)
& ssList(esk7_0) ),
inference(shift_quantors,[status(thm)],[143]) ).
cnf(145,negated_conjecture,
ssList(esk7_0),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(146,negated_conjecture,
ssList(esk8_0),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(148,negated_conjecture,
( nil != esk7_0
| nil != esk8_0 ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(149,negated_conjecture,
app(esk12_0,esk11_0) = esk9_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(150,negated_conjecture,
app(esk11_0,esk12_0) = esk10_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(151,negated_conjecture,
ssList(esk12_0),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(152,negated_conjecture,
ssList(esk11_0),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(153,negated_conjecture,
esk7_0 = esk9_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(154,negated_conjecture,
esk8_0 = esk10_0,
inference(split_conjunct,[status(thm)],[144]) ).
cnf(156,negated_conjecture,
( ~ segmentP(esk7_0,X1)
| ~ segmentP(esk8_0,X1)
| ~ neq(X1,nil)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(161,negated_conjecture,
app(esk11_0,esk12_0) = esk8_0,
inference(rw,[status(thm)],[150,154,theory(equality)]) ).
cnf(162,negated_conjecture,
app(esk12_0,esk11_0) = esk7_0,
inference(rw,[status(thm)],[149,153,theory(equality)]) ).
cnf(183,negated_conjecture,
( ~ segmentP(esk8_0,esk7_0)
| ~ neq(esk7_0,nil)
| ~ ssList(esk7_0) ),
inference(spm,[status(thm)],[156,133,theory(equality)]) ).
cnf(187,negated_conjecture,
( ~ segmentP(esk8_0,esk7_0)
| ~ neq(esk7_0,nil)
| $false ),
inference(rw,[status(thm)],[183,145,theory(equality)]) ).
cnf(188,negated_conjecture,
( ~ segmentP(esk8_0,esk7_0)
| ~ neq(esk7_0,nil) ),
inference(cn,[status(thm)],[187,theory(equality)]) ).
cnf(217,negated_conjecture,
( esk12_0 = X1
| esk8_0 != app(esk11_0,X1)
| ~ ssList(X1)
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[50,161,theory(equality)]) ).
cnf(250,negated_conjecture,
( app(esk8_0,X1) = app(esk11_0,app(esk12_0,X1))
| ~ ssList(X1)
| ~ ssList(esk12_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[42,161,theory(equality)]) ).
cnf(254,plain,
( app(X1,X2) = app(nil,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[42,53,theory(equality)]) ).
cnf(268,plain,
( app(X1,X2) = app(nil,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[254,122,theory(equality)]) ).
cnf(269,plain,
( app(X1,X2) = app(nil,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[268,theory(equality)]) ).
cnf(285,plain,
( segmentP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X3,X2)) ),
inference(spm,[status(thm)],[92,31,theory(equality)]) ).
cnf(286,plain,
( segmentP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X3)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[92,53,theory(equality)]) ).
cnf(292,plain,
( segmentP(X1,X2)
| app(X3,X2) != X1
| $false
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X3,X2)) ),
inference(rw,[status(thm)],[285,122,theory(equality)]) ).
cnf(293,plain,
( segmentP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X3,X2)) ),
inference(cn,[status(thm)],[292,theory(equality)]) ).
cnf(294,plain,
( segmentP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X3)
| $false
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[286,122,theory(equality)]) ).
cnf(295,plain,
( segmentP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[294,theory(equality)]) ).
cnf(438,negated_conjecture,
( esk12_0 = X1
| app(esk11_0,X1) != esk8_0
| ~ ssList(esk12_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[217,152,theory(equality)]) ).
cnf(457,negated_conjecture,
( esk12_0 = X1
| app(esk11_0,X1) != esk8_0
| ~ ssList(X1) ),
inference(spm,[status(thm)],[438,151,theory(equality)]) ).
cnf(1899,negated_conjecture,
( app(esk11_0,app(esk12_0,X1)) = app(esk8_0,X1)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[250,151,theory(equality)]) ).
cnf(1933,negated_conjecture,
( app(esk11_0,app(esk12_0,X1)) = app(esk8_0,X1)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[1899,152,theory(equality)]) ).
cnf(1943,negated_conjecture,
( app(esk11_0,esk7_0) = app(esk8_0,esk11_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[1933,162,theory(equality)]) ).
cnf(1944,negated_conjecture,
( app(esk11_0,esk12_0) = app(esk8_0,nil)
| ~ ssList(nil)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[1933,31,theory(equality)]) ).
cnf(1969,negated_conjecture,
( esk8_0 = app(esk8_0,nil)
| ~ ssList(nil)
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[1944,161,theory(equality)]) ).
cnf(1970,negated_conjecture,
( esk8_0 = app(esk8_0,nil)
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[1969,122,theory(equality)]) ).
cnf(1971,negated_conjecture,
( esk8_0 = app(esk8_0,nil)
| ~ ssList(esk12_0) ),
inference(cn,[status(thm)],[1970,theory(equality)]) ).
cnf(1990,negated_conjecture,
app(esk8_0,nil) = esk8_0,
inference(spm,[status(thm)],[1971,151,theory(equality)]) ).
cnf(2081,negated_conjecture,
app(esk11_0,esk7_0) = app(esk8_0,esk11_0),
inference(spm,[status(thm)],[1943,152,theory(equality)]) ).
cnf(2189,negated_conjecture,
( esk12_0 = esk7_0
| app(esk8_0,esk11_0) != esk8_0
| ~ ssList(esk7_0) ),
inference(spm,[status(thm)],[457,2081,theory(equality)]) ).
cnf(2230,negated_conjecture,
( esk12_0 = esk7_0
| app(esk8_0,esk11_0) != esk8_0
| $false ),
inference(rw,[status(thm)],[2189,145,theory(equality)]) ).
cnf(2231,negated_conjecture,
( esk12_0 = esk7_0
| app(esk8_0,esk11_0) != esk8_0 ),
inference(cn,[status(thm)],[2230,theory(equality)]) ).
cnf(2371,negated_conjecture,
( app(nil,esk7_0) = esk7_0
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[269,162,theory(equality)]) ).
cnf(2679,negated_conjecture,
( app(nil,esk7_0) = esk7_0
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[2371,152,theory(equality)]) ).
cnf(2680,negated_conjecture,
app(nil,esk7_0) = esk7_0,
inference(spm,[status(thm)],[2679,151,theory(equality)]) ).
cnf(4837,plain,
( segmentP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[293,61]) ).
cnf(4839,negated_conjecture,
( segmentP(X1,esk12_0)
| esk8_0 != X1
| ~ ssList(esk11_0)
| ~ ssList(esk12_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[4837,161,theory(equality)]) ).
cnf(4840,negated_conjecture,
( segmentP(X1,esk11_0)
| esk7_0 != X1
| ~ ssList(esk12_0)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[4837,162,theory(equality)]) ).
cnf(4945,negated_conjecture,
( segmentP(X1,esk11_0)
| esk8_0 != X1
| ~ ssList(esk12_0)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[295,161,theory(equality)]) ).
cnf(5537,negated_conjecture,
( segmentP(X1,esk12_0)
| esk8_0 != X1
| ~ ssList(esk12_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[4839,152,theory(equality)]) ).
cnf(5538,negated_conjecture,
( segmentP(X1,esk12_0)
| esk8_0 != X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[5537,151,theory(equality)]) ).
cnf(5539,negated_conjecture,
( segmentP(esk8_0,esk12_0)
| ~ ssList(esk8_0) ),
inference(er,[status(thm)],[5538,theory(equality)]) ).
cnf(5540,negated_conjecture,
( segmentP(esk8_0,esk12_0)
| $false ),
inference(rw,[status(thm)],[5539,146,theory(equality)]) ).
cnf(5541,negated_conjecture,
segmentP(esk8_0,esk12_0),
inference(cn,[status(thm)],[5540,theory(equality)]) ).
cnf(5914,negated_conjecture,
( segmentP(X1,esk11_0)
| esk7_0 != X1
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[4840,151,theory(equality)]) ).
cnf(5915,negated_conjecture,
( segmentP(X1,esk11_0)
| esk7_0 != X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[5914,152,theory(equality)]) ).
cnf(5916,negated_conjecture,
( segmentP(esk7_0,esk11_0)
| ~ ssList(esk7_0) ),
inference(er,[status(thm)],[5915,theory(equality)]) ).
cnf(5917,negated_conjecture,
( segmentP(esk7_0,esk11_0)
| $false ),
inference(rw,[status(thm)],[5916,145,theory(equality)]) ).
cnf(5918,negated_conjecture,
segmentP(esk7_0,esk11_0),
inference(cn,[status(thm)],[5917,theory(equality)]) ).
cnf(5919,negated_conjecture,
( ~ segmentP(esk8_0,esk11_0)
| ~ neq(esk11_0,nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[156,5918,theory(equality)]) ).
cnf(5939,negated_conjecture,
( ~ segmentP(esk8_0,esk11_0)
| ~ neq(esk11_0,nil) ),
inference(spm,[status(thm)],[5919,152,theory(equality)]) ).
cnf(6167,negated_conjecture,
( segmentP(X1,esk11_0)
| esk8_0 != X1
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[4945,151,theory(equality)]) ).
cnf(6236,negated_conjecture,
( segmentP(X1,esk11_0)
| esk8_0 != X1
| ~ ssList(X1) ),
inference(spm,[status(thm)],[6167,152,theory(equality)]) ).
cnf(6237,negated_conjecture,
( segmentP(esk8_0,esk11_0)
| ~ ssList(esk8_0) ),
inference(er,[status(thm)],[6236,theory(equality)]) ).
cnf(6238,negated_conjecture,
( segmentP(esk8_0,esk11_0)
| $false ),
inference(rw,[status(thm)],[6237,146,theory(equality)]) ).
cnf(6239,negated_conjecture,
segmentP(esk8_0,esk11_0),
inference(cn,[status(thm)],[6238,theory(equality)]) ).
cnf(6246,negated_conjecture,
( $false
| ~ neq(esk11_0,nil) ),
inference(rw,[status(thm)],[5939,6239,theory(equality)]) ).
cnf(6247,negated_conjecture,
~ neq(esk11_0,nil),
inference(cn,[status(thm)],[6246,theory(equality)]) ).
cnf(6261,negated_conjecture,
( esk11_0 = nil
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[6247,116,theory(equality)]) ).
cnf(6263,negated_conjecture,
( esk11_0 = nil
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[6261,122,theory(equality)]) ).
cnf(6264,negated_conjecture,
( esk11_0 = nil
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[6263,theory(equality)]) ).
cnf(6265,negated_conjecture,
esk11_0 = nil,
inference(spm,[status(thm)],[6264,152,theory(equality)]) ).
cnf(6282,negated_conjecture,
app(nil,esk7_0) = app(esk8_0,esk11_0),
inference(rw,[status(thm)],[2081,6265,theory(equality)]) ).
cnf(6283,negated_conjecture,
app(nil,esk7_0) = esk8_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6282,6265,theory(equality)]),1990,theory(equality)]) ).
cnf(6284,negated_conjecture,
esk7_0 = esk8_0,
inference(rw,[status(thm)],[6283,2680,theory(equality)]) ).
cnf(6343,negated_conjecture,
( esk12_0 = esk7_0
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2231,6265,theory(equality)]),1990,theory(equality)]) ).
cnf(6344,negated_conjecture,
esk12_0 = esk7_0,
inference(cn,[status(thm)],[6343,theory(equality)]) ).
cnf(6361,negated_conjecture,
segmentP(esk8_0,esk7_0),
inference(rw,[status(thm)],[5541,6344,theory(equality)]) ).
cnf(6436,negated_conjecture,
( ~ segmentP(esk7_0,esk7_0)
| ~ neq(esk7_0,nil) ),
inference(rw,[status(thm)],[188,6284,theory(equality)]) ).
cnf(6439,negated_conjecture,
( esk7_0 != nil
| esk7_0 != nil ),
inference(rw,[status(thm)],[148,6284,theory(equality)]) ).
cnf(6440,negated_conjecture,
esk7_0 != nil,
inference(cn,[status(thm)],[6439,theory(equality)]) ).
cnf(6441,negated_conjecture,
segmentP(esk7_0,esk7_0),
inference(rw,[status(thm)],[6361,6284,theory(equality)]) ).
cnf(6840,negated_conjecture,
( $false
| ~ neq(esk7_0,nil) ),
inference(rw,[status(thm)],[6436,6441,theory(equality)]) ).
cnf(6841,negated_conjecture,
~ neq(esk7_0,nil),
inference(cn,[status(thm)],[6840,theory(equality)]) ).
cnf(6842,negated_conjecture,
( esk7_0 = nil
| ~ ssList(nil)
| ~ ssList(esk7_0) ),
inference(spm,[status(thm)],[6841,116,theory(equality)]) ).
cnf(6844,negated_conjecture,
( esk7_0 = nil
| $false
| ~ ssList(esk7_0) ),
inference(rw,[status(thm)],[6842,122,theory(equality)]) ).
cnf(6845,negated_conjecture,
( esk7_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[6844,145,theory(equality)]) ).
cnf(6846,negated_conjecture,
esk7_0 = nil,
inference(cn,[status(thm)],[6845,theory(equality)]) ).
cnf(6847,negated_conjecture,
$false,
inference(sr,[status(thm)],[6846,6440,theory(equality)]) ).
cnf(6848,negated_conjecture,
$false,
6847,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC075+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp3LrKlP/sel_SWC075+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC075+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC075+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC075+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
%
%------------------------------------------------------------------------------