TSTP Solution File: LCL668+1.001 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL668+1.001 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 : Sat Dec 25 20:02:48 EST 2010
% Result : Theorem 9.40s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of formulae : 78 ( 11 unt; 0 def)
% Number of atoms : 1106 ( 0 equ)
% Maximal formula atoms : 154 ( 14 avg)
% Number of connectives : 1912 ( 884 ~; 803 |; 225 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 575 ( 0 sgn 293 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p6(X1)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ) ) ),
file('/tmp/tmpKRs6TS/sel_LCL668+1.001.p_1',main) ).
fof(2,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmpKRs6TS/sel_LCL668+1.001.p_1',reflexivity) ).
fof(3,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p6(X1)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ~ p12(X1)
& ~ p10(X1)
& ~ p8(X1)
& ~ p6(X1)
& ~ p4(X1)
& ~ p2(X1) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p7(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p5(X1)
& ~ p1(X1) )
| ( p1(X1)
& p5(X1) ) ) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) ) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( p6(X1)
& p5(X1)
& p4(X1)
& p3(X1)
& p2(X1)
& p1(X1) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(5,negated_conjecture,
? [X1] :
( ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ( p12(X1)
| p10(X1)
| p8(X1)
| p6(X1)
| p4(X1)
| p2(X1) ) ) ) ) ) ) )
& ? [X2] :
( r1(X1,X2)
& ~ p7(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( p5(X1)
| p1(X1) )
& ( ~ p1(X1)
| ~ p5(X1) ) ) ) ) ) ) ) ) )
& ? [X1] :
( r1(X2,X1)
& ~ p6(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( p4(X1)
| p5(X1) )
& ( ~ p5(X1)
| ~ p4(X1) ) ) ) ) ) ) ) )
& ? [X2] :
( r1(X1,X2)
& ~ p5(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| ( ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( p3(X1)
| p4(X1) )
& ( ~ p4(X1)
| ~ p3(X1) ) ) ) ) ) ) )
& ? [X1] :
( r1(X2,X1)
& ~ p4(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( p2(X1)
| p3(X1) )
& ( ~ p3(X1)
| ~ p2(X1) ) ) ) ) ) )
& ? [X2] :
( r1(X1,X2)
& ~ p3(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( p1(X1)
| p2(X1) )
& ( ~ p2(X1)
| ~ p1(X1) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ( ~ p6(X1)
| ~ p5(X1)
| ~ p4(X1)
| ~ p3(X1)
| ~ p2(X1)
| ~ p1(X1) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(6,negated_conjecture,
? [X3] :
( ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ( p12(X9)
| p10(X9)
| p8(X9)
| p6(X9)
| p4(X9)
| p2(X9) ) ) ) ) ) ) )
& ? [X10] :
( r1(X3,X10)
& ~ p7(X10) )
& ! [X11] :
( ~ r1(X3,X11)
| ( ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ( ( p5(X18)
| p1(X18) )
& ( ~ p1(X18)
| ~ p5(X18) ) ) ) ) ) ) ) ) )
& ? [X19] :
( r1(X11,X19)
& ~ p6(X19) )
& ! [X20] :
( ~ r1(X11,X20)
| ( ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ( ( p4(X26)
| p5(X26) )
& ( ~ p5(X26)
| ~ p4(X26) ) ) ) ) ) ) ) )
& ? [X27] :
( r1(X20,X27)
& ~ p5(X27) )
& ! [X28] :
( ~ r1(X20,X28)
| ( ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( p3(X33)
| p4(X33) )
& ( ~ p4(X33)
| ~ p3(X33) ) ) ) ) ) ) )
& ? [X34] :
( r1(X28,X34)
& ~ p4(X34) )
& ! [X35] :
( ~ r1(X28,X35)
| ( ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( ( p2(X39)
| p3(X39) )
& ( ~ p3(X39)
| ~ p2(X39) ) ) ) ) ) )
& ? [X40] :
( r1(X35,X40)
& ~ p3(X40) )
& ! [X41] :
( ~ r1(X35,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ( ( p1(X44)
| p2(X44) )
& ( ~ p2(X44)
| ~ p1(X44) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ? [X45] :
( r1(X3,X45)
& ? [X46] :
( r1(X45,X46)
& ? [X47] :
( r1(X46,X47)
& ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ? [X50] :
( r1(X49,X50)
& ( ~ p6(X50)
| ~ p5(X50)
| ~ p4(X50)
| ~ p3(X50)
| ~ p2(X50)
| ~ p1(X50) ) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,negated_conjecture,
( r1(esk1_0,esk2_0)
& r1(esk2_0,esk3_0)
& r1(esk3_0,esk4_0)
& r1(esk4_0,esk5_0)
& r1(esk5_0,esk6_0)
& r1(esk6_0,esk7_0)
& ( p12(esk7_0)
| p10(esk7_0)
| p8(esk7_0)
| p6(esk7_0)
| p4(esk7_0)
| p2(esk7_0) )
& r1(esk1_0,esk8_0)
& ~ p7(esk8_0)
& ! [X11] :
( ~ r1(esk1_0,X11)
| ( ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ( ( p5(X18)
| p1(X18) )
& ( ~ p1(X18)
| ~ p5(X18) ) ) ) ) ) ) ) ) )
& r1(X11,esk9_1(X11))
& ~ p6(esk9_1(X11))
& ! [X20] :
( ~ r1(X11,X20)
| ( ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ( ( p4(X26)
| p5(X26) )
& ( ~ p5(X26)
| ~ p4(X26) ) ) ) ) ) ) ) )
& r1(X20,esk10_2(X11,X20))
& ~ p5(esk10_2(X11,X20))
& ! [X28] :
( ~ r1(X20,X28)
| ( ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( p3(X33)
| p4(X33) )
& ( ~ p4(X33)
| ~ p3(X33) ) ) ) ) ) ) )
& r1(X28,esk11_3(X11,X20,X28))
& ~ p4(esk11_3(X11,X20,X28))
& ! [X35] :
( ~ r1(X28,X35)
| ( ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ( ( p2(X39)
| p3(X39) )
& ( ~ p3(X39)
| ~ p2(X39) ) ) ) ) ) )
& r1(X35,esk12_4(X11,X20,X28,X35))
& ~ p3(esk12_4(X11,X20,X28,X35))
& ! [X41] :
( ~ r1(X35,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ( ( p1(X44)
| p2(X44) )
& ( ~ p2(X44)
| ~ p1(X44) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& r1(esk1_0,esk13_0)
& r1(esk13_0,esk14_0)
& r1(esk14_0,esk15_0)
& r1(esk15_0,esk16_0)
& r1(esk16_0,esk17_0)
& r1(esk17_0,esk18_0)
& ( ~ p6(esk18_0)
| ~ p5(esk18_0)
| ~ p4(esk18_0)
| ~ p3(esk18_0)
| ~ p2(esk18_0)
| ~ p1(esk18_0) ) ),
inference(skolemize,[status(esa)],[6]) ).
fof(8,negated_conjecture,
! [X11,X12,X13,X14,X15,X16,X17,X18,X20,X21,X22,X23,X24,X25,X26,X28,X29,X30,X31,X32,X33,X35,X36,X37,X38,X39,X41,X42,X43,X44] :
( ( ( ( ( ( ( ( ( ( ~ r1(X43,X44)
| ( ( p1(X44)
| p2(X44) )
& ( ~ p2(X44)
| ~ p1(X44) ) )
| ~ r1(X42,X43)
| ~ r1(X41,X42)
| ~ r1(X35,X41) )
& ( ~ r1(X38,X39)
| ( ( p2(X39)
| p3(X39) )
& ( ~ p3(X39)
| ~ p2(X39) ) )
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36) )
& r1(X35,esk12_4(X11,X20,X28,X35))
& ~ p3(esk12_4(X11,X20,X28,X35)) )
| ~ r1(X28,X35) )
& ( ~ r1(X32,X33)
| ( ( p3(X33)
| p4(X33) )
& ( ~ p4(X33)
| ~ p3(X33) ) )
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29) )
& r1(X28,esk11_3(X11,X20,X28))
& ~ p4(esk11_3(X11,X20,X28)) )
| ~ r1(X20,X28) )
& ( ~ r1(X25,X26)
| ( ( p4(X26)
| p5(X26) )
& ( ~ p5(X26)
| ~ p4(X26) ) )
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21) )
& r1(X20,esk10_2(X11,X20))
& ~ p5(esk10_2(X11,X20)) )
| ~ r1(X11,X20) )
& ( ~ r1(X17,X18)
| ( ( p5(X18)
| p1(X18) )
& ( ~ p1(X18)
| ~ p5(X18) ) )
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12) )
& r1(X11,esk9_1(X11))
& ~ p6(esk9_1(X11)) )
| ~ r1(esk1_0,X11) )
& r1(esk1_0,esk2_0)
& r1(esk2_0,esk3_0)
& r1(esk3_0,esk4_0)
& r1(esk4_0,esk5_0)
& r1(esk5_0,esk6_0)
& r1(esk6_0,esk7_0)
& ( p12(esk7_0)
| p10(esk7_0)
| p8(esk7_0)
| p6(esk7_0)
| p4(esk7_0)
| p2(esk7_0) )
& r1(esk1_0,esk8_0)
& ~ p7(esk8_0)
& r1(esk1_0,esk13_0)
& r1(esk13_0,esk14_0)
& r1(esk14_0,esk15_0)
& r1(esk15_0,esk16_0)
& r1(esk16_0,esk17_0)
& r1(esk17_0,esk18_0)
& ( ~ p6(esk18_0)
| ~ p5(esk18_0)
| ~ p4(esk18_0)
| ~ p3(esk18_0)
| ~ p2(esk18_0)
| ~ p1(esk18_0) ) ),
inference(shift_quantors,[status(thm)],[7]) ).
fof(9,negated_conjecture,
! [X11,X12,X13,X14,X15,X16,X17,X18,X20,X21,X22,X23,X24,X25,X26,X28,X29,X30,X31,X32,X33,X35,X36,X37,X38,X39,X41,X42,X43,X44] :
( ( p1(X44)
| p2(X44)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(X41,X42)
| ~ r1(X35,X41)
| ~ r1(X28,X35)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p2(X44)
| ~ p1(X44)
| ~ r1(X43,X44)
| ~ r1(X42,X43)
| ~ r1(X41,X42)
| ~ r1(X35,X41)
| ~ r1(X28,X35)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( p2(X39)
| p3(X39)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X28,X35)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p3(X39)
| ~ p2(X39)
| ~ r1(X38,X39)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(X35,X36)
| ~ r1(X28,X35)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( r1(X35,esk12_4(X11,X20,X28,X35))
| ~ r1(X28,X35)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p3(esk12_4(X11,X20,X28,X35))
| ~ r1(X28,X35)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( p3(X33)
| p4(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p4(X33)
| ~ p3(X33)
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( r1(X28,esk11_3(X11,X20,X28))
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p4(esk11_3(X11,X20,X28))
| ~ r1(X20,X28)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( p4(X26)
| p5(X26)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p5(X26)
| ~ p4(X26)
| ~ r1(X25,X26)
| ~ r1(X24,X25)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( r1(X20,esk10_2(X11,X20))
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( ~ p5(esk10_2(X11,X20))
| ~ r1(X11,X20)
| ~ r1(esk1_0,X11) )
& ( p5(X18)
| p1(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(esk1_0,X11) )
& ( ~ p1(X18)
| ~ p5(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(esk1_0,X11) )
& ( r1(X11,esk9_1(X11))
| ~ r1(esk1_0,X11) )
& ( ~ p6(esk9_1(X11))
| ~ r1(esk1_0,X11) )
& r1(esk1_0,esk2_0)
& r1(esk2_0,esk3_0)
& r1(esk3_0,esk4_0)
& r1(esk4_0,esk5_0)
& r1(esk5_0,esk6_0)
& r1(esk6_0,esk7_0)
& ( p12(esk7_0)
| p10(esk7_0)
| p8(esk7_0)
| p6(esk7_0)
| p4(esk7_0)
| p2(esk7_0) )
& r1(esk1_0,esk8_0)
& ~ p7(esk8_0)
& r1(esk1_0,esk13_0)
& r1(esk13_0,esk14_0)
& r1(esk14_0,esk15_0)
& r1(esk15_0,esk16_0)
& r1(esk16_0,esk17_0)
& r1(esk17_0,esk18_0)
& ( ~ p6(esk18_0)
| ~ p5(esk18_0)
| ~ p4(esk18_0)
| ~ p3(esk18_0)
| ~ p2(esk18_0)
| ~ p1(esk18_0) ) ),
inference(distribute,[status(thm)],[8]) ).
cnf(22,negated_conjecture,
r1(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(23,negated_conjecture,
r1(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(24,negated_conjecture,
r1(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(25,negated_conjecture,
r1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(29,negated_conjecture,
( p1(X8)
| p5(X8)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(32,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ p4(X8)
| ~ p5(X8) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(36,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ p3(X8)
| ~ p4(X8) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(37,negated_conjecture,
( p4(X8)
| p3(X8)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(38,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ p3(esk12_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(39,negated_conjecture,
( r1(X4,esk12_4(X1,X2,X3,X4))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(41,negated_conjecture,
( p3(X8)
| p2(X8)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(42,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ p1(X8)
| ~ p2(X8) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(44,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[2]) ).
cnf(45,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(56,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk2_0,X7) ),
inference(spm,[status(thm)],[37,25,theory(equality)]) ).
cnf(76,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk2_0,X7) ),
inference(spm,[status(thm)],[41,25,theory(equality)]) ).
cnf(86,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk2_0,X7) ),
inference(spm,[status(thm)],[29,25,theory(equality)]) ).
cnf(96,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk2_0,X7) ),
inference(spm,[status(thm)],[32,25,theory(equality)]) ).
cnf(106,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk2_0,X7) ),
inference(spm,[status(thm)],[36,25,theory(equality)]) ).
cnf(116,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk2_0,X7) ),
inference(spm,[status(thm)],[42,25,theory(equality)]) ).
cnf(154,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk3_0,X6) ),
inference(spm,[status(thm)],[96,24,theory(equality)]) ).
cnf(162,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk4_0,X5) ),
inference(spm,[status(thm)],[154,23,theory(equality)]) ).
cnf(168,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk5_0,X4) ),
inference(spm,[status(thm)],[162,22,theory(equality)]) ).
cnf(175,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk5_0,X3) ),
inference(spm,[status(thm)],[168,45,theory(equality)]) ).
cnf(283,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(esk5_0,X2) ),
inference(spm,[status(thm)],[175,45,theory(equality)]) ).
cnf(289,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[283,45,theory(equality)]) ).
cnf(425,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk3_0,X6) ),
inference(spm,[status(thm)],[56,24,theory(equality)]) ).
cnf(923,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk3_0,X6) ),
inference(spm,[status(thm)],[76,24,theory(equality)]) ).
cnf(1200,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk3_0,X6) ),
inference(spm,[status(thm)],[86,24,theory(equality)]) ).
cnf(1638,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk3_0,X6) ),
inference(spm,[status(thm)],[106,24,theory(equality)]) ).
cnf(1918,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk3_0,X6) ),
inference(spm,[status(thm)],[116,24,theory(equality)]) ).
cnf(6524,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk4_0,X5) ),
inference(spm,[status(thm)],[425,23,theory(equality)]) ).
cnf(6580,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk5_0,X4) ),
inference(spm,[status(thm)],[6524,22,theory(equality)]) ).
cnf(6605,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk5_0,X3) ),
inference(spm,[status(thm)],[6580,45,theory(equality)]) ).
cnf(6694,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(X2,X1)
| ~ r1(esk5_0,X2) ),
inference(spm,[status(thm)],[6605,45,theory(equality)]) ).
cnf(6710,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[6694,45,theory(equality)]) ).
cnf(6715,negated_conjecture,
( p4(esk12_4(X1,X2,X3,X4))
| ~ r1(esk1_0,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk5_0,esk12_4(X1,X2,X3,X4)) ),
inference(spm,[status(thm)],[38,6710,theory(equality)]) ).
cnf(8321,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk4_0,X5) ),
inference(spm,[status(thm)],[1638,23,theory(equality)]) ).
cnf(8342,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk5_0,X4) ),
inference(spm,[status(thm)],[8321,22,theory(equality)]) ).
cnf(8349,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk5_0,X3) ),
inference(spm,[status(thm)],[8342,45,theory(equality)]) ).
cnf(8504,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(X2,X1)
| ~ r1(esk5_0,X2) ),
inference(spm,[status(thm)],[8349,45,theory(equality)]) ).
cnf(8516,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[8504,45,theory(equality)]) ).
cnf(14212,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk4_0,X5) ),
inference(spm,[status(thm)],[923,23,theory(equality)]) ).
cnf(15940,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk5_0,X4) ),
inference(spm,[status(thm)],[14212,22,theory(equality)]) ).
cnf(15991,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk5_0,X3) ),
inference(spm,[status(thm)],[15940,45,theory(equality)]) ).
cnf(16334,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(esk5_0,X2) ),
inference(spm,[status(thm)],[15991,45,theory(equality)]) ).
cnf(16364,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[16334,45,theory(equality)]) ).
cnf(16393,negated_conjecture,
( p2(X1)
| ~ p4(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[8516,16364,theory(equality)]) ).
cnf(17092,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk4_0,X5) ),
inference(spm,[status(thm)],[1200,23,theory(equality)]) ).
cnf(21778,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk5_0,X4) ),
inference(spm,[status(thm)],[17092,22,theory(equality)]) ).
cnf(21842,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk5_0,X3) ),
inference(spm,[status(thm)],[21778,45,theory(equality)]) ).
cnf(21928,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(esk5_0,X2) ),
inference(spm,[status(thm)],[21842,45,theory(equality)]) ).
cnf(21949,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[21928,45,theory(equality)]) ).
cnf(23397,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk4_0,X5) ),
inference(spm,[status(thm)],[1918,23,theory(equality)]) ).
cnf(23403,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk5_0,X4) ),
inference(spm,[status(thm)],[23397,22,theory(equality)]) ).
cnf(23416,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk5_0,X3) ),
inference(spm,[status(thm)],[23403,45,theory(equality)]) ).
cnf(24554,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ r1(esk5_0,X2) ),
inference(spm,[status(thm)],[23416,45,theory(equality)]) ).
cnf(24565,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[24554,45,theory(equality)]) ).
cnf(24670,negated_conjecture,
( p5(X1)
| ~ p2(X1)
| ~ r1(esk5_0,X1) ),
inference(spm,[status(thm)],[24565,21949,theory(equality)]) ).
cnf(24702,negated_conjecture,
( ~ p4(X1)
| ~ r1(esk5_0,X1)
| ~ p2(X1) ),
inference(spm,[status(thm)],[289,24670,theory(equality)]) ).
cnf(24840,negated_conjecture,
( ~ p4(X1)
| ~ r1(esk5_0,X1) ),
inference(csr,[status(thm)],[24702,16393]) ).
cnf(24893,negated_conjecture,
( ~ r1(esk5_0,esk12_4(X1,X2,X3,X4))
| ~ r1(esk1_0,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[24840,6715,theory(equality)]) ).
cnf(27690,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X3,esk5_0)
| ~ r1(X2,X3)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[24893,39,theory(equality)]) ).
cnf(27691,negated_conjecture,
( ~ r1(X1,esk5_0)
| ~ r1(X2,X1)
| ~ r1(esk2_0,X2) ),
inference(spm,[status(thm)],[27690,25,theory(equality)]) ).
cnf(27701,negated_conjecture,
( ~ r1(esk2_0,X1)
| ~ r1(X1,esk4_0) ),
inference(spm,[status(thm)],[27691,22,theory(equality)]) ).
cnf(27714,negated_conjecture,
~ r1(esk3_0,esk4_0),
inference(spm,[status(thm)],[27701,24,theory(equality)]) ).
cnf(27720,negated_conjecture,
$false,
inference(rw,[status(thm)],[27714,23,theory(equality)]) ).
cnf(27721,negated_conjecture,
$false,
inference(cn,[status(thm)],[27720,theory(equality)]) ).
cnf(27722,negated_conjecture,
$false,
27721,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL668+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpKRs6TS/sel_LCL668+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL668+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL668+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL668+1.001.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
%
%------------------------------------------------------------------------------