TSTP Solution File: SWC393+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC393+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 11:42:19 EST 2010
% Result : Theorem 0.43s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 13
% Syntax : Number of formulae : 174 ( 29 unt; 0 def)
% Number of atoms : 718 ( 122 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 898 ( 354 ~; 400 |; 99 &)
% ( 5 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 226 ( 0 sgn 139 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/tmp/tmpZmG2bb/sel_SWC393+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/tmpZmG2bb/sel_SWC393+1.p_1',ax82) ).
fof(8,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax26) ).
fof(12,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ( memberP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax3) ).
fof(14,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( segmentP(X1,X2)
<=> ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(app(X3,X2),X4) = X1 ) ) ) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax7) ).
fof(18,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax58) ).
fof(19,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( neq(X1,X2)
<=> X1 != X2 ) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax15) ).
fof(20,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax16) ).
fof(21,axiom,
ssList(nil),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax17) ).
fof(22,axiom,
! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( memberP(app(X2,X3),X1)
<=> ( memberP(X2,X1)
| memberP(X3,X1) ) ) ) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax36) ).
fof(24,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax38) ).
fof(28,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( segmentP(X1,X2)
=> segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',ax56) ).
fof(30,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X1,X5)
| memberP(X2,X5) ) )
| ( nil != X3
& nil = X4 )
| ( neq(X4,nil)
& ( ~ neq(X3,nil)
| ~ segmentP(X4,X3) ) ) ) ) ) ) ),
file('/tmp/tmpZmG2bb/sel_SWC393+1.p_1',co1) ).
fof(31,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X1,X5)
| memberP(X2,X5) ) )
| ( nil != X3
& nil = X4 )
| ( neq(X4,nil)
& ( ~ neq(X3,nil)
| ~ segmentP(X4,X3) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[30]) ).
fof(32,plain,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(33,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X1,X5)
| memberP(X2,X5) ) )
| ( nil != X3
& nil = X4 )
| ( neq(X4,nil)
& ( ~ neq(X3,nil)
| ~ segmentP(X4,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[31,theory(equality)]) ).
fof(34,plain,
! [X1] :
( ~ ssList(X1)
| app(X1,nil) = X1 ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(35,plain,
! [X2] :
( ~ ssList(X2)
| app(X2,nil) = X2 ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(44,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(45,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)],[44]) ).
fof(46,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)],[45]) ).
cnf(47,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(63,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ssList(app(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(64,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ssList(app(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[63]) ).
fof(65,plain,
! [X3,X4] :
( ~ ssList(X4)
| ssList(app(X3,X4))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[64]) ).
cnf(66,plain,
( ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(83,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ( ( ~ memberP(X1,X2)
| ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& app(X3,cons(X2,X4)) = X1 ) ) )
& ( ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| app(X3,cons(X2,X4)) != X1 ) )
| memberP(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(84,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssItem(X6)
| ( ( ~ memberP(X5,X6)
| ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& app(X7,cons(X6,X8)) = X5 ) ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(X9,cons(X6,X10)) != X5 ) )
| memberP(X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssItem(X6)
| ( ( ~ memberP(X5,X6)
| ( ssList(esk5_2(X5,X6))
& ssList(esk6_2(X5,X6))
& app(esk5_2(X5,X6),cons(X6,esk6_2(X5,X6))) = X5 ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(X9,cons(X6,X10)) != X5 ) )
| memberP(X5,X6) ) ) ) ),
inference(skolemize,[status(esa)],[84]) ).
fof(86,plain,
! [X5,X6,X9,X10] :
( ( ( ~ ssList(X10)
| app(X9,cons(X6,X10)) != X5
| ~ ssList(X9)
| memberP(X5,X6) )
& ( ~ memberP(X5,X6)
| ( ssList(esk5_2(X5,X6))
& ssList(esk6_2(X5,X6))
& app(esk5_2(X5,X6),cons(X6,esk6_2(X5,X6))) = X5 ) ) )
| ~ ssItem(X6)
| ~ ssList(X5) ),
inference(shift_quantors,[status(thm)],[85]) ).
fof(87,plain,
! [X5,X6,X9,X10] :
( ( ~ ssList(X10)
| app(X9,cons(X6,X10)) != X5
| ~ ssList(X9)
| memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( ssList(esk5_2(X5,X6))
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( ssList(esk6_2(X5,X6))
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) )
& ( app(esk5_2(X5,X6),cons(X6,esk6_2(X5,X6))) = X5
| ~ memberP(X5,X6)
| ~ ssItem(X6)
| ~ ssList(X5) ) ),
inference(distribute,[status(thm)],[86]) ).
cnf(88,plain,
( app(esk5_2(X1,X2),cons(X2,esk6_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,plain,
( ssList(esk6_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(90,plain,
( ssList(esk5_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(98,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)],[14]) ).
fof(99,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)],[98]) ).
fof(100,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ( ( ~ segmentP(X5,X6)
| ( ssList(esk7_2(X5,X6))
& ssList(esk8_2(X5,X6))
& app(app(esk7_2(X5,X6),X6),esk8_2(X5,X6)) = X5 ) )
& ( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( ~ ssList(X10)
| app(app(X9,X6),X10) != X5 ) )
| segmentP(X5,X6) ) ) ) ),
inference(skolemize,[status(esa)],[99]) ).
fof(101,plain,
! [X5,X6,X9,X10] :
( ( ( ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| ~ ssList(X9)
| segmentP(X5,X6) )
& ( ~ segmentP(X5,X6)
| ( ssList(esk7_2(X5,X6))
& ssList(esk8_2(X5,X6))
& app(app(esk7_2(X5,X6),X6),esk8_2(X5,X6)) = X5 ) ) )
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(shift_quantors,[status(thm)],[100]) ).
fof(102,plain,
! [X5,X6,X9,X10] :
( ( ~ ssList(X10)
| app(app(X9,X6),X10) != X5
| ~ ssList(X9)
| segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk7_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( ssList(esk8_2(X5,X6))
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) )
& ( app(app(esk7_2(X5,X6),X6),esk8_2(X5,X6)) = X5
| ~ segmentP(X5,X6)
| ~ ssList(X6)
| ~ ssList(X5) ) ),
inference(distribute,[status(thm)],[101]) ).
cnf(103,plain,
( app(app(esk7_2(X1,X2),X2),esk8_2(X1,X2)) = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
cnf(104,plain,
( ssList(esk8_2(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
cnf(105,plain,
( ssList(esk7_2(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(118,plain,
! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(nil,X1)
| nil = X1 )
& ( nil != X1
| segmentP(nil,X1) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(119,plain,
! [X2] :
( ~ ssList(X2)
| ( ( ~ segmentP(nil,X2)
| nil = X2 )
& ( nil != X2
| segmentP(nil,X2) ) ) ),
inference(variable_rename,[status(thm)],[118]) ).
fof(120,plain,
! [X2] :
( ( ~ segmentP(nil,X2)
| nil = X2
| ~ ssList(X2) )
& ( nil != X2
| segmentP(nil,X2)
| ~ ssList(X2) ) ),
inference(distribute,[status(thm)],[119]) ).
cnf(121,plain,
( segmentP(nil,X1)
| ~ ssList(X1)
| nil != X1 ),
inference(split_conjunct,[status(thm)],[120]) ).
fof(123,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ neq(X1,X2)
| X1 != X2 )
& ( X1 = X2
| neq(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(124,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[123]) ).
fof(125,plain,
! [X3,X4] :
( ~ ssList(X4)
| ( ( ~ neq(X3,X4)
| X3 != X4 )
& ( X3 = X4
| neq(X3,X4) ) )
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[124]) ).
fof(126,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)],[125]) ).
cnf(127,plain,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(split_conjunct,[status(thm)],[126]) ).
fof(129,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ssList(cons(X2,X1)) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(130,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssItem(X4)
| ssList(cons(X4,X3)) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,plain,
! [X3,X4] :
( ~ ssItem(X4)
| ssList(cons(X4,X3))
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[130]) ).
cnf(132,plain,
( ssList(cons(X2,X1))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(133,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[21]) ).
fof(134,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)],[22]) ).
fof(135,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)],[134]) ).
fof(136,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)],[135]) ).
fof(137,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)],[136]) ).
cnf(138,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X3,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(139,plain,
( memberP(app(X2,X3),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ memberP(X2,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
fof(148,plain,
! [X1] :
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(149,plain,
! [X2] :
( ~ ssItem(X2)
| ~ memberP(nil,X2) ),
inference(variable_rename,[status(thm)],[148]) ).
cnf(150,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(165,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ~ segmentP(X1,X2)
| segmentP(app(app(X3,X1),X4),X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(166,plain,
! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ~ segmentP(X5,X6)
| segmentP(app(app(X7,X5),X8),X6) ) ) ) ),
inference(variable_rename,[status(thm)],[165]) ).
fof(167,plain,
! [X5,X6,X7,X8] :
( ~ ssList(X8)
| ~ segmentP(X5,X6)
| segmentP(app(app(X7,X5),X8),X6)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(shift_quantors,[status(thm)],[166]) ).
cnf(168,plain,
( segmentP(app(app(X3,X1),X4),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X4) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(172,negated_conjecture,
? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ? [X4] :
( ssList(X4)
& X2 = X4
& X1 = X3
& ? [X5] :
( ssItem(X5)
& memberP(X1,X5)
& ~ memberP(X2,X5) )
& ( nil = X3
| nil != X4 )
& ( ~ neq(X4,nil)
| ( neq(X3,nil)
& segmentP(X4,X3) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(173,negated_conjecture,
? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& X7 = X9
& X6 = X8
& ? [X10] :
( ssItem(X10)
& memberP(X6,X10)
& ~ memberP(X7,X10) )
& ( nil = X8
| nil != X9 )
& ( ~ neq(X9,nil)
| ( neq(X8,nil)
& segmentP(X9,X8) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[172]) ).
fof(174,negated_conjecture,
( ssList(esk9_0)
& ssList(esk10_0)
& ssList(esk11_0)
& ssList(esk12_0)
& esk10_0 = esk12_0
& esk9_0 = esk11_0
& ssItem(esk13_0)
& memberP(esk9_0,esk13_0)
& ~ memberP(esk10_0,esk13_0)
& ( nil = esk11_0
| nil != esk12_0 )
& ( ~ neq(esk12_0,nil)
| ( neq(esk11_0,nil)
& segmentP(esk12_0,esk11_0) ) ) ),
inference(skolemize,[status(esa)],[173]) ).
fof(175,negated_conjecture,
( ssList(esk9_0)
& ssList(esk10_0)
& ssList(esk11_0)
& ssList(esk12_0)
& esk10_0 = esk12_0
& esk9_0 = esk11_0
& ssItem(esk13_0)
& memberP(esk9_0,esk13_0)
& ~ memberP(esk10_0,esk13_0)
& ( nil = esk11_0
| nil != esk12_0 )
& ( neq(esk11_0,nil)
| ~ neq(esk12_0,nil) )
& ( segmentP(esk12_0,esk11_0)
| ~ neq(esk12_0,nil) ) ),
inference(distribute,[status(thm)],[174]) ).
cnf(176,negated_conjecture,
( segmentP(esk12_0,esk11_0)
| ~ neq(esk12_0,nil) ),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(178,negated_conjecture,
( nil = esk11_0
| nil != esk12_0 ),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(179,negated_conjecture,
~ memberP(esk10_0,esk13_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(180,negated_conjecture,
memberP(esk9_0,esk13_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(181,negated_conjecture,
ssItem(esk13_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(182,negated_conjecture,
esk9_0 = esk11_0,
inference(split_conjunct,[status(thm)],[175]) ).
cnf(183,negated_conjecture,
esk10_0 = esk12_0,
inference(split_conjunct,[status(thm)],[175]) ).
cnf(186,negated_conjecture,
ssList(esk10_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(187,negated_conjecture,
ssList(esk9_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(188,negated_conjecture,
ssList(esk11_0),
inference(rw,[status(thm)],[187,182,theory(equality)]) ).
cnf(189,negated_conjecture,
ssList(esk12_0),
inference(rw,[status(thm)],[186,183,theory(equality)]) ).
cnf(190,negated_conjecture,
memberP(esk11_0,esk13_0),
inference(rw,[status(thm)],[180,182,theory(equality)]) ).
cnf(191,negated_conjecture,
~ memberP(esk12_0,esk13_0),
inference(rw,[status(thm)],[179,183,theory(equality)]) ).
cnf(192,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(er,[status(thm)],[121,theory(equality)]) ).
cnf(193,plain,
( segmentP(nil,nil)
| $false ),
inference(rw,[status(thm)],[192,133,theory(equality)]) ).
cnf(194,plain,
segmentP(nil,nil),
inference(cn,[status(thm)],[193,theory(equality)]) ).
cnf(202,negated_conjecture,
( segmentP(esk12_0,esk11_0)
| esk12_0 = nil
| ~ ssList(nil)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[176,127,theory(equality)]) ).
cnf(205,negated_conjecture,
( segmentP(esk12_0,esk11_0)
| esk12_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[202,133,theory(equality)]) ).
cnf(206,negated_conjecture,
( segmentP(esk12_0,esk11_0)
| esk12_0 = nil
| ~ ssList(esk12_0) ),
inference(cn,[status(thm)],[205,theory(equality)]) ).
cnf(223,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[90,190,theory(equality)]) ).
cnf(224,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[223,181,theory(equality)]) ).
cnf(225,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[224,theory(equality)]) ).
cnf(226,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[89,190,theory(equality)]) ).
cnf(227,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[226,181,theory(equality)]) ).
cnf(228,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[227,theory(equality)]) ).
cnf(248,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[138,190,theory(equality)]) ).
cnf(249,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| $false
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[248,181,theory(equality)]) ).
cnf(250,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[249,theory(equality)]) ).
cnf(298,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[66,47,theory(equality)]) ).
cnf(362,negated_conjecture,
( app(esk5_2(esk11_0,esk13_0),cons(esk13_0,esk6_2(esk11_0,esk13_0))) = esk11_0
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[88,190,theory(equality)]) ).
cnf(363,negated_conjecture,
( app(esk5_2(esk11_0,esk13_0),cons(esk13_0,esk6_2(esk11_0,esk13_0))) = esk11_0
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[362,181,theory(equality)]) ).
cnf(364,negated_conjecture,
( app(esk5_2(esk11_0,esk13_0),cons(esk13_0,esk6_2(esk11_0,esk13_0))) = esk11_0
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[363,theory(equality)]) ).
cnf(389,plain,
( segmentP(app(app(X1,nil),X2),nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[168,194,theory(equality)]) ).
cnf(397,plain,
( segmentP(app(app(X1,nil),X2),nil)
| ~ ssList(X2)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[389,133,theory(equality)]) ).
cnf(398,plain,
( segmentP(app(app(X1,nil),X2),nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[397,theory(equality)]) ).
cnf(403,negated_conjecture,
( segmentP(esk12_0,esk11_0)
| esk12_0 = nil
| $false ),
inference(rw,[status(thm)],[206,189,theory(equality)]) ).
cnf(404,negated_conjecture,
( segmentP(esk12_0,esk11_0)
| esk12_0 = nil ),
inference(cn,[status(thm)],[403,theory(equality)]) ).
cnf(406,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk12_0 = nil
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[105,404,theory(equality)]) ).
cnf(407,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk12_0 = nil
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[104,404,theory(equality)]) ).
cnf(410,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk12_0 = nil
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[103,404,theory(equality)]) ).
cnf(414,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk12_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[406,188,theory(equality)]) ).
cnf(415,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk12_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[414,189,theory(equality)]) ).
cnf(416,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk12_0 = nil ),
inference(cn,[status(thm)],[415,theory(equality)]) ).
cnf(417,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk12_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[407,188,theory(equality)]) ).
cnf(418,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk12_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[417,189,theory(equality)]) ).
cnf(419,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk12_0 = nil ),
inference(cn,[status(thm)],[418,theory(equality)]) ).
cnf(426,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk12_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[410,188,theory(equality)]) ).
cnf(427,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk12_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[426,189,theory(equality)]) ).
cnf(428,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk12_0 = nil ),
inference(cn,[status(thm)],[427,theory(equality)]) ).
cnf(445,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[225,188,theory(equality)]) ).
cnf(446,negated_conjecture,
ssList(esk5_2(esk11_0,esk13_0)),
inference(cn,[status(thm)],[445,theory(equality)]) ).
cnf(456,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[228,188,theory(equality)]) ).
cnf(457,negated_conjecture,
ssList(esk6_2(esk11_0,esk13_0)),
inference(cn,[status(thm)],[456,theory(equality)]) ).
cnf(519,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| $false
| ~ ssList(X1) ),
inference(rw,[status(thm)],[250,188,theory(equality)]) ).
cnf(520,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[519,theory(equality)]) ).
cnf(526,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssItem(esk13_0)
| ~ ssList(X2)
| ~ ssList(app(X1,esk11_0))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[139,520,theory(equality)]) ).
cnf(543,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| $false
| ~ ssList(X2)
| ~ ssList(app(X1,esk11_0))
| ~ ssList(X1) ),
inference(rw,[status(thm)],[526,181,theory(equality)]) ).
cnf(544,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssList(X2)
| ~ ssList(app(X1,esk11_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[543,theory(equality)]) ).
cnf(684,plain,
( segmentP(app(X1,X2),nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[398,36,theory(equality)]) ).
cnf(1954,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[298,66]) ).
cnf(5058,negated_conjecture,
( app(esk5_2(esk11_0,esk13_0),cons(esk13_0,esk6_2(esk11_0,esk13_0))) = esk11_0
| $false ),
inference(rw,[status(thm)],[364,188,theory(equality)]) ).
cnf(5059,negated_conjecture,
app(esk5_2(esk11_0,esk13_0),cons(esk13_0,esk6_2(esk11_0,esk13_0))) = esk11_0,
inference(cn,[status(thm)],[5058,theory(equality)]) ).
cnf(5076,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssList(cons(esk13_0,esk6_2(esk11_0,esk13_0)))
| ~ ssList(esk5_2(esk11_0,esk13_0)) ),
inference(spm,[status(thm)],[684,5059,theory(equality)]) ).
cnf(5137,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssList(cons(esk13_0,esk6_2(esk11_0,esk13_0)))
| $false ),
inference(rw,[status(thm)],[5076,446,theory(equality)]) ).
cnf(5138,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssList(cons(esk13_0,esk6_2(esk11_0,esk13_0))) ),
inference(cn,[status(thm)],[5137,theory(equality)]) ).
cnf(5209,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssItem(esk13_0)
| ~ ssList(esk6_2(esk11_0,esk13_0)) ),
inference(spm,[status(thm)],[5138,132,theory(equality)]) ).
cnf(5210,negated_conjecture,
( segmentP(esk11_0,nil)
| $false
| ~ ssList(esk6_2(esk11_0,esk13_0)) ),
inference(rw,[status(thm)],[5209,181,theory(equality)]) ).
cnf(5211,negated_conjecture,
( segmentP(esk11_0,nil)
| $false
| $false ),
inference(rw,[status(thm)],[5210,457,theory(equality)]) ).
cnf(5212,negated_conjecture,
segmentP(esk11_0,nil),
inference(cn,[status(thm)],[5211,theory(equality)]) ).
cnf(5214,negated_conjecture,
( ssList(esk7_2(esk11_0,nil))
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[105,5212,theory(equality)]) ).
cnf(5215,negated_conjecture,
( ssList(esk8_2(esk11_0,nil))
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[104,5212,theory(equality)]) ).
cnf(5218,negated_conjecture,
( app(app(esk7_2(esk11_0,nil),nil),esk8_2(esk11_0,nil)) = esk11_0
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[103,5212,theory(equality)]) ).
cnf(5223,negated_conjecture,
( ssList(esk7_2(esk11_0,nil))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[5214,133,theory(equality)]) ).
cnf(5224,negated_conjecture,
( ssList(esk7_2(esk11_0,nil))
| $false
| $false ),
inference(rw,[status(thm)],[5223,188,theory(equality)]) ).
cnf(5225,negated_conjecture,
ssList(esk7_2(esk11_0,nil)),
inference(cn,[status(thm)],[5224,theory(equality)]) ).
cnf(5226,negated_conjecture,
( ssList(esk8_2(esk11_0,nil))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[5215,133,theory(equality)]) ).
cnf(5227,negated_conjecture,
( ssList(esk8_2(esk11_0,nil))
| $false
| $false ),
inference(rw,[status(thm)],[5226,188,theory(equality)]) ).
cnf(5228,negated_conjecture,
ssList(esk8_2(esk11_0,nil)),
inference(cn,[status(thm)],[5227,theory(equality)]) ).
cnf(5235,negated_conjecture,
( app(app(esk7_2(esk11_0,nil),nil),esk8_2(esk11_0,nil)) = esk11_0
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[5218,133,theory(equality)]) ).
cnf(5236,negated_conjecture,
( app(app(esk7_2(esk11_0,nil),nil),esk8_2(esk11_0,nil)) = esk11_0
| $false
| $false ),
inference(rw,[status(thm)],[5235,188,theory(equality)]) ).
cnf(5237,negated_conjecture,
app(app(esk7_2(esk11_0,nil),nil),esk8_2(esk11_0,nil)) = esk11_0,
inference(cn,[status(thm)],[5236,theory(equality)]) ).
cnf(5826,negated_conjecture,
( app(esk7_2(esk11_0,nil),esk8_2(esk11_0,nil)) = esk11_0
| ~ ssList(esk7_2(esk11_0,nil)) ),
inference(spm,[status(thm)],[5237,36,theory(equality)]) ).
cnf(5875,negated_conjecture,
( app(esk7_2(esk11_0,nil),esk8_2(esk11_0,nil)) = esk11_0
| $false ),
inference(rw,[status(thm)],[5826,5225,theory(equality)]) ).
cnf(5876,negated_conjecture,
app(esk7_2(esk11_0,nil),esk8_2(esk11_0,nil)) = esk11_0,
inference(cn,[status(thm)],[5875,theory(equality)]) ).
cnf(6095,negated_conjecture,
( ssList(app(X1,esk11_0))
| ~ ssList(esk8_2(esk11_0,nil))
| ~ ssList(esk7_2(esk11_0,nil))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[1954,5876,theory(equality)]) ).
cnf(6175,negated_conjecture,
( ssList(app(X1,esk11_0))
| $false
| ~ ssList(esk7_2(esk11_0,nil))
| ~ ssList(X1) ),
inference(rw,[status(thm)],[6095,5228,theory(equality)]) ).
cnf(6176,negated_conjecture,
( ssList(app(X1,esk11_0))
| $false
| $false
| ~ ssList(X1) ),
inference(rw,[status(thm)],[6175,5225,theory(equality)]) ).
cnf(6177,negated_conjecture,
( ssList(app(X1,esk11_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[6176,theory(equality)]) ).
cnf(6628,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[544,6177]) ).
cnf(6643,negated_conjecture,
( memberP(esk12_0,esk13_0)
| esk12_0 = nil
| ~ ssList(esk8_2(esk12_0,esk11_0))
| ~ ssList(esk7_2(esk12_0,esk11_0)) ),
inference(spm,[status(thm)],[6628,428,theory(equality)]) ).
cnf(6681,negated_conjecture,
( esk12_0 = nil
| ~ ssList(esk8_2(esk12_0,esk11_0))
| ~ ssList(esk7_2(esk12_0,esk11_0)) ),
inference(sr,[status(thm)],[6643,191,theory(equality)]) ).
cnf(6726,negated_conjecture,
( esk12_0 = nil
| ~ ssList(esk8_2(esk12_0,esk11_0)) ),
inference(csr,[status(thm)],[6681,416]) ).
cnf(6727,negated_conjecture,
esk12_0 = nil,
inference(csr,[status(thm)],[6726,419]) ).
cnf(6783,negated_conjecture,
( esk11_0 = nil
| $false ),
inference(rw,[status(thm)],[178,6727,theory(equality)]) ).
cnf(6784,negated_conjecture,
esk11_0 = nil,
inference(cn,[status(thm)],[6783,theory(equality)]) ).
cnf(6819,negated_conjecture,
memberP(nil,esk13_0),
inference(rw,[status(thm)],[190,6784,theory(equality)]) ).
cnf(6872,negated_conjecture,
~ ssItem(esk13_0),
inference(spm,[status(thm)],[150,6819,theory(equality)]) ).
cnf(6879,negated_conjecture,
$false,
inference(rw,[status(thm)],[6872,181,theory(equality)]) ).
cnf(6880,negated_conjecture,
$false,
inference(cn,[status(thm)],[6879,theory(equality)]) ).
cnf(6881,negated_conjecture,
$false,
6880,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC393+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpZmG2bb/sel_SWC393+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC393+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC393+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC393+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
%
%------------------------------------------------------------------------------