%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWC394+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 11:42:23 EST 2010
% Result : Theorem 0.68s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 208 ( 31 unt; 0 def)
% Number of atoms : 832 ( 164 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1040 ( 416 ~; 476 |; 102 &)
% ( 5 <=>; 41 =>; 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 : 266 ( 0 sgn 142 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ssList(X1)
=> app(X1,nil) = X1 ),
file('/tmp/tmp95z_c5/sel_SWC394+1.p_1',ax84) ).
fof(2,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( nil = app(X1,X2)
<=> ( nil = X2
& nil = X1 ) ) ) ),
file('/tmp/tmp95z_c5/sel_SWC394+1.p_1',ax83) ).
fof(3,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
file('/tmp/tmp95z_c5/sel_SWC394+1.p_1',ax82) ).
fof(6,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/tmp/tmp95z_c5/sel_SWC394+1.p_1',ax28) ).
fof(8,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/tmp/tmp95z_c5/sel_SWC394+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/tmp95z_c5/sel_SWC394+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/tmp95z_c5/sel_SWC394+1.p_1',ax7) ).
fof(18,axiom,
! [X1] :
( ssList(X1)
=> ( segmentP(nil,X1)
<=> nil = X1 ) ),
file('/tmp/tmp95z_c5/sel_SWC394+1.p_1',ax58) ).
fof(20,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/tmp/tmp95z_c5/sel_SWC394+1.p_1',ax16) ).
fof(21,axiom,
ssList(nil),
file('/tmp/tmp95z_c5/sel_SWC394+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/tmp95z_c5/sel_SWC394+1.p_1',ax36) ).
fof(24,axiom,
! [X1] :
( ssItem(X1)
=> ~ memberP(nil,X1) ),
file('/tmp/tmp95z_c5/sel_SWC394+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/tmp95z_c5/sel_SWC394+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 != X4
| nil != X3 )
& ( ~ neq(X3,nil)
| ~ segmentP(X4,X3) ) ) ) ) ) ) ),
file('/tmp/tmp95z_c5/sel_SWC394+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 != X4
| nil != X3 )
& ( ~ 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 != X4
| nil != X3 )
& ( ~ 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(37,plain,
! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( nil != app(X1,X2)
| ( nil = X2
& nil = X1 ) )
& ( nil != X2
| nil != X1
| nil = app(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(38,plain,
! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ~ ssList(X4)
| ( ( nil != app(X3,X4)
| ( nil = X4
& nil = X3 ) )
& ( nil != X4
| nil != X3
| nil = app(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(39,plain,
! [X3,X4] :
( ~ ssList(X4)
| ( ( nil != app(X3,X4)
| ( nil = X4
& nil = X3 ) )
& ( nil != X4
| nil != X3
| nil = app(X3,X4) ) )
| ~ ssList(X3) ),
inference(shift_quantors,[status(thm)],[38]) ).
fof(40,plain,
! [X3,X4] :
( ( nil = X4
| nil != app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) )
& ( nil = X3
| nil != app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) )
& ( nil != X4
| nil != X3
| nil = app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
inference(distribute,[status(thm)],[39]) ).
cnf(41,plain,
( nil = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| nil != X1
| nil != X2 ),
inference(split_conjunct,[status(thm)],[40]) ).
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(56,plain,
! [X1] :
( ~ ssList(X1)
| app(nil,X1) = X1 ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(57,plain,
! [X2] :
( ~ ssList(X2)
| app(nil,X2) = X2 ),
inference(variable_rename,[status(thm)],[56]) ).
cnf(58,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
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(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 = X4
& nil = X3 )
| ( 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 = X9
& nil = X8 )
| ( 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 = esk12_0
& nil = esk11_0 )
| ( 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)
& ( neq(esk11_0,nil)
| nil = esk12_0 )
& ( segmentP(esk12_0,esk11_0)
| nil = esk12_0 )
& ( neq(esk11_0,nil)
| nil = esk11_0 )
& ( segmentP(esk12_0,esk11_0)
| nil = esk11_0 ) ),
inference(distribute,[status(thm)],[174]) ).
cnf(176,negated_conjecture,
( nil = esk11_0
| segmentP(esk12_0,esk11_0) ),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(180,negated_conjecture,
~ memberP(esk10_0,esk13_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(181,negated_conjecture,
memberP(esk9_0,esk13_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(182,negated_conjecture,
ssItem(esk13_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(183,negated_conjecture,
esk9_0 = esk11_0,
inference(split_conjunct,[status(thm)],[175]) ).
cnf(184,negated_conjecture,
esk10_0 = esk12_0,
inference(split_conjunct,[status(thm)],[175]) ).
cnf(187,negated_conjecture,
ssList(esk10_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(188,negated_conjecture,
ssList(esk9_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(189,negated_conjecture,
ssList(esk11_0),
inference(rw,[status(thm)],[188,183,theory(equality)]) ).
cnf(190,negated_conjecture,
ssList(esk12_0),
inference(rw,[status(thm)],[187,184,theory(equality)]) ).
cnf(191,negated_conjecture,
memberP(esk11_0,esk13_0),
inference(rw,[status(thm)],[181,183,theory(equality)]) ).
cnf(192,negated_conjecture,
~ memberP(esk12_0,esk13_0),
inference(rw,[status(thm)],[180,184,theory(equality)]) ).
cnf(193,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(er,[status(thm)],[121,theory(equality)]) ).
cnf(194,plain,
( segmentP(nil,nil)
| $false ),
inference(rw,[status(thm)],[193,133,theory(equality)]) ).
cnf(195,plain,
segmentP(nil,nil),
inference(cn,[status(thm)],[194,theory(equality)]) ).
cnf(210,plain,
( app(X1,nil) = nil
| nil != X1
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(er,[status(thm)],[41,theory(equality)]) ).
cnf(211,plain,
( app(X1,nil) = nil
| nil != X1
| $false
| ~ ssList(X1) ),
inference(rw,[status(thm)],[210,133,theory(equality)]) ).
cnf(212,plain,
( app(X1,nil) = nil
| nil != X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[211,theory(equality)]) ).
cnf(218,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[90,191,theory(equality)]) ).
cnf(219,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[218,182,theory(equality)]) ).
cnf(220,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(221,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[89,191,theory(equality)]) ).
cnf(222,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[221,182,theory(equality)]) ).
cnf(223,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[222,theory(equality)]) ).
cnf(225,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk11_0 = nil
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[105,176,theory(equality)]) ).
cnf(231,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk11_0 = nil
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[104,176,theory(equality)]) ).
cnf(249,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| ~ ssItem(esk13_0)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[138,191,theory(equality)]) ).
cnf(250,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| $false
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[249,182,theory(equality)]) ).
cnf(251,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| ~ ssList(esk11_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[250,theory(equality)]) ).
cnf(252,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssItem(esk13_0)
| ~ ssList(X1)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[139,191,theory(equality)]) ).
cnf(253,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| $false
| ~ ssList(X1)
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[252,182,theory(equality)]) ).
cnf(254,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1)
| ~ ssList(esk11_0) ),
inference(cn,[status(thm)],[253,theory(equality)]) ).
cnf(325,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(app(X1,X2))
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[36,47,theory(equality)]) ).
cnf(327,plain,
( app(X1,X2) = app(nil,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[47,58,theory(equality)]) ).
cnf(342,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(app(X1,X2))
| $false
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[325,133,theory(equality)]) ).
cnf(343,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[342,theory(equality)]) ).
cnf(346,plain,
( app(X1,X2) = app(nil,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[327,133,theory(equality)]) ).
cnf(347,plain,
( app(X1,X2) = app(nil,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[346,theory(equality)]) ).
cnf(365,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)],[88,191,theory(equality)]) ).
cnf(366,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)],[365,182,theory(equality)]) ).
cnf(367,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)],[366,theory(equality)]) ).
cnf(369,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk11_0 = nil
| ~ ssList(esk11_0)
| ~ ssList(esk12_0) ),
inference(spm,[status(thm)],[103,176,theory(equality)]) ).
cnf(394,plain,
( segmentP(app(app(X1,nil),X2),nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[168,195,theory(equality)]) ).
cnf(402,plain,
( segmentP(app(app(X1,nil),X2),nil)
| ~ ssList(X2)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[394,133,theory(equality)]) ).
cnf(403,plain,
( segmentP(app(app(X1,nil),X2),nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[402,theory(equality)]) ).
cnf(406,plain,
( app(nil,nil) = nil
| ~ ssList(nil) ),
inference(er,[status(thm)],[212,theory(equality)]) ).
cnf(407,plain,
( app(nil,nil) = nil
| $false ),
inference(rw,[status(thm)],[406,133,theory(equality)]) ).
cnf(408,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[407,theory(equality)]) ).
cnf(455,negated_conjecture,
( ssList(esk5_2(esk11_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[220,189,theory(equality)]) ).
cnf(456,negated_conjecture,
ssList(esk5_2(esk11_0,esk13_0)),
inference(cn,[status(thm)],[455,theory(equality)]) ).
cnf(466,negated_conjecture,
( ssList(esk6_2(esk11_0,esk13_0))
| $false ),
inference(rw,[status(thm)],[223,189,theory(equality)]) ).
cnf(467,negated_conjecture,
ssList(esk6_2(esk11_0,esk13_0)),
inference(cn,[status(thm)],[466,theory(equality)]) ).
cnf(468,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk11_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[225,189,theory(equality)]) ).
cnf(469,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk11_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[468,190,theory(equality)]) ).
cnf(470,negated_conjecture,
( ssList(esk7_2(esk12_0,esk11_0))
| esk11_0 = nil ),
inference(cn,[status(thm)],[469,theory(equality)]) ).
cnf(484,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk11_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[231,189,theory(equality)]) ).
cnf(485,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk11_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[484,190,theory(equality)]) ).
cnf(486,negated_conjecture,
( ssList(esk8_2(esk12_0,esk11_0))
| esk11_0 = nil ),
inference(cn,[status(thm)],[485,theory(equality)]) ).
cnf(544,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| $false
| ~ ssList(X1) ),
inference(rw,[status(thm)],[251,189,theory(equality)]) ).
cnf(545,negated_conjecture,
( memberP(app(X1,esk11_0),esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[544,theory(equality)]) ).
cnf(551,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)],[139,545,theory(equality)]) ).
cnf(568,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)],[551,182,theory(equality)]) ).
cnf(569,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssList(X2)
| ~ ssList(app(X1,esk11_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[568,theory(equality)]) ).
cnf(580,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[254,189,theory(equality)]) ).
cnf(581,negated_conjecture,
( memberP(app(esk11_0,X1),esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[580,theory(equality)]) ).
cnf(586,negated_conjecture,
( memberP(app(app(esk11_0,X1),X2),esk13_0)
| ~ ssItem(esk13_0)
| ~ ssList(X2)
| ~ ssList(app(esk11_0,X1))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[139,581,theory(equality)]) ).
cnf(600,negated_conjecture,
( memberP(app(app(esk11_0,X1),X2),esk13_0)
| $false
| ~ ssList(X2)
| ~ ssList(app(esk11_0,X1))
| ~ ssList(X1) ),
inference(rw,[status(thm)],[586,182,theory(equality)]) ).
cnf(601,negated_conjecture,
( memberP(app(app(esk11_0,X1),X2),esk13_0)
| ~ ssList(X2)
| ~ ssList(app(esk11_0,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[600,theory(equality)]) ).
cnf(679,plain,
( segmentP(app(X1,X2),nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[403,36,theory(equality)]) ).
cnf(2086,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[343,66]) ).
cnf(2340,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[2086,347,theory(equality)]) ).
cnf(2408,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[2340,133,theory(equality)]) ).
cnf(2409,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[2408,theory(equality)]) ).
cnf(2437,plain,
( ssList(app(X1,nil))
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(spm,[status(thm)],[66,2409,theory(equality)]) ).
cnf(2562,plain,
( ssList(app(X1,nil))
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[2437,133,theory(equality)]) ).
cnf(2563,plain,
( ssList(app(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[2562,theory(equality)]) ).
cnf(4585,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)],[367,189,theory(equality)]) ).
cnf(4586,negated_conjecture,
app(esk5_2(esk11_0,esk13_0),cons(esk13_0,esk6_2(esk11_0,esk13_0))) = esk11_0,
inference(cn,[status(thm)],[4585,theory(equality)]) ).
cnf(4602,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)],[679,4586,theory(equality)]) ).
cnf(4662,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssList(cons(esk13_0,esk6_2(esk11_0,esk13_0)))
| $false ),
inference(rw,[status(thm)],[4602,456,theory(equality)]) ).
cnf(4663,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssList(cons(esk13_0,esk6_2(esk11_0,esk13_0))) ),
inference(cn,[status(thm)],[4662,theory(equality)]) ).
cnf(4770,negated_conjecture,
( segmentP(esk11_0,nil)
| ~ ssItem(esk13_0)
| ~ ssList(esk6_2(esk11_0,esk13_0)) ),
inference(spm,[status(thm)],[4663,132,theory(equality)]) ).
cnf(4771,negated_conjecture,
( segmentP(esk11_0,nil)
| $false
| ~ ssList(esk6_2(esk11_0,esk13_0)) ),
inference(rw,[status(thm)],[4770,182,theory(equality)]) ).
cnf(4772,negated_conjecture,
( segmentP(esk11_0,nil)
| $false
| $false ),
inference(rw,[status(thm)],[4771,467,theory(equality)]) ).
cnf(4773,negated_conjecture,
segmentP(esk11_0,nil),
inference(cn,[status(thm)],[4772,theory(equality)]) ).
cnf(4775,negated_conjecture,
( ssList(esk7_2(esk11_0,nil))
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[105,4773,theory(equality)]) ).
cnf(4776,negated_conjecture,
( ssList(esk8_2(esk11_0,nil))
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[104,4773,theory(equality)]) ).
cnf(4779,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)],[103,4773,theory(equality)]) ).
cnf(4784,negated_conjecture,
( ssList(esk7_2(esk11_0,nil))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[4775,133,theory(equality)]) ).
cnf(4785,negated_conjecture,
( ssList(esk7_2(esk11_0,nil))
| $false
| $false ),
inference(rw,[status(thm)],[4784,189,theory(equality)]) ).
cnf(4786,negated_conjecture,
ssList(esk7_2(esk11_0,nil)),
inference(cn,[status(thm)],[4785,theory(equality)]) ).
cnf(4787,negated_conjecture,
( ssList(esk8_2(esk11_0,nil))
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[4776,133,theory(equality)]) ).
cnf(4788,negated_conjecture,
( ssList(esk8_2(esk11_0,nil))
| $false
| $false ),
inference(rw,[status(thm)],[4787,189,theory(equality)]) ).
cnf(4789,negated_conjecture,
ssList(esk8_2(esk11_0,nil)),
inference(cn,[status(thm)],[4788,theory(equality)]) ).
cnf(4796,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)],[4779,133,theory(equality)]) ).
cnf(4797,negated_conjecture,
( app(app(esk7_2(esk11_0,nil),nil),esk8_2(esk11_0,nil)) = esk11_0
| $false
| $false ),
inference(rw,[status(thm)],[4796,189,theory(equality)]) ).
cnf(4798,negated_conjecture,
app(app(esk7_2(esk11_0,nil),nil),esk8_2(esk11_0,nil)) = esk11_0,
inference(cn,[status(thm)],[4797,theory(equality)]) ).
cnf(4920,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk11_0 = nil
| $false
| ~ ssList(esk12_0) ),
inference(rw,[status(thm)],[369,189,theory(equality)]) ).
cnf(4921,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk11_0 = nil
| $false
| $false ),
inference(rw,[status(thm)],[4920,190,theory(equality)]) ).
cnf(4922,negated_conjecture,
( app(app(esk7_2(esk12_0,esk11_0),esk11_0),esk8_2(esk12_0,esk11_0)) = esk12_0
| esk11_0 = nil ),
inference(cn,[status(thm)],[4921,theory(equality)]) ).
cnf(6068,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[569,66,theory(equality)]) ).
cnf(6078,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssList(X2)
| ~ ssList(X1)
| $false ),
inference(rw,[status(thm)],[6068,189,theory(equality)]) ).
cnf(6079,negated_conjecture,
( memberP(app(app(X1,esk11_0),X2),esk13_0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[6078,theory(equality)]) ).
cnf(6592,negated_conjecture,
( memberP(app(app(esk11_0,nil),X1),esk13_0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[601,2563,theory(equality)]) ).
cnf(6609,negated_conjecture,
( memberP(app(app(esk11_0,nil),X1),esk13_0)
| ~ ssList(X1)
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[6592,133,theory(equality)]) ).
cnf(6610,negated_conjecture,
( memberP(app(app(esk11_0,nil),X1),esk13_0)
| ~ ssList(X1)
| $false
| $false ),
inference(rw,[status(thm)],[6609,189,theory(equality)]) ).
cnf(6611,negated_conjecture,
( memberP(app(app(esk11_0,nil),X1),esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[6610,theory(equality)]) ).
cnf(6738,negated_conjecture,
( memberP(app(esk11_0,app(nil,X1)),esk13_0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[6611,47,theory(equality)]) ).
cnf(6764,negated_conjecture,
( memberP(app(esk11_0,app(nil,X1)),esk13_0)
| ~ ssList(X1)
| $false
| ~ ssList(esk11_0) ),
inference(rw,[status(thm)],[6738,133,theory(equality)]) ).
cnf(6765,negated_conjecture,
( memberP(app(esk11_0,app(nil,X1)),esk13_0)
| ~ ssList(X1)
| $false
| $false ),
inference(rw,[status(thm)],[6764,189,theory(equality)]) ).
cnf(6766,negated_conjecture,
( memberP(app(esk11_0,app(nil,X1)),esk13_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[6765,theory(equality)]) ).
cnf(7146,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)],[4798,36,theory(equality)]) ).
cnf(7200,negated_conjecture,
( app(esk7_2(esk11_0,nil),esk8_2(esk11_0,nil)) = esk11_0
| $false ),
inference(rw,[status(thm)],[7146,4786,theory(equality)]) ).
cnf(7201,negated_conjecture,
app(esk7_2(esk11_0,nil),esk8_2(esk11_0,nil)) = esk11_0,
inference(cn,[status(thm)],[7200,theory(equality)]) ).
cnf(7416,negated_conjecture,
( app(nil,esk11_0) = esk11_0
| ~ ssList(esk8_2(esk11_0,nil))
| ~ ssList(esk7_2(esk11_0,nil)) ),
inference(spm,[status(thm)],[347,7201,theory(equality)]) ).
cnf(7512,negated_conjecture,
( app(nil,esk11_0) = esk11_0
| $false
| ~ ssList(esk7_2(esk11_0,nil)) ),
inference(rw,[status(thm)],[7416,4789,theory(equality)]) ).
cnf(7513,negated_conjecture,
( app(nil,esk11_0) = esk11_0
| $false
| $false ),
inference(rw,[status(thm)],[7512,4786,theory(equality)]) ).
cnf(7514,negated_conjecture,
app(nil,esk11_0) = esk11_0,
inference(cn,[status(thm)],[7513,theory(equality)]) ).
cnf(7653,negated_conjecture,
( memberP(app(esk11_0,esk11_0),esk13_0)
| ~ ssList(esk11_0) ),
inference(spm,[status(thm)],[6766,7514,theory(equality)]) ).
cnf(7846,negated_conjecture,
( memberP(app(esk11_0,esk11_0),esk13_0)
| $false ),
inference(rw,[status(thm)],[7653,189,theory(equality)]) ).
cnf(7847,negated_conjecture,
memberP(app(esk11_0,esk11_0),esk13_0),
inference(cn,[status(thm)],[7846,theory(equality)]) ).
cnf(11703,negated_conjecture,
( memberP(esk12_0,esk13_0)
| esk11_0 = nil
| ~ ssList(esk8_2(esk12_0,esk11_0))
| ~ ssList(esk7_2(esk12_0,esk11_0)) ),
inference(spm,[status(thm)],[6079,4922,theory(equality)]) ).
cnf(11747,negated_conjecture,
( esk11_0 = nil
| ~ ssList(esk8_2(esk12_0,esk11_0))
| ~ ssList(esk7_2(esk12_0,esk11_0)) ),
inference(sr,[status(thm)],[11703,192,theory(equality)]) ).
cnf(11755,negated_conjecture,
( esk11_0 = nil
| ~ ssList(esk8_2(esk12_0,esk11_0)) ),
inference(csr,[status(thm)],[11747,470]) ).
cnf(11756,negated_conjecture,
esk11_0 = nil,
inference(csr,[status(thm)],[11755,486]) ).
cnf(11776,negated_conjecture,
memberP(nil,esk13_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7847,11756,theory(equality)]),11756,theory(equality)]),408,theory(equality)]) ).
cnf(12119,negated_conjecture,
~ ssItem(esk13_0),
inference(spm,[status(thm)],[150,11776,theory(equality)]) ).
cnf(12126,negated_conjecture,
$false,
inference(rw,[status(thm)],[12119,182,theory(equality)]) ).
cnf(12127,negated_conjecture,
$false,
inference(cn,[status(thm)],[12126,theory(equality)]) ).
cnf(12128,negated_conjecture,
$false,
12127,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC394+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp95z_c5/sel_SWC394+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC394+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC394+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC394+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
%
%------------------------------------------------------------------------------