TSTP Solution File: LCL672+1.001 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL672+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 20:13:51 EST 2010
% Result : Theorem 0.39s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 49 ( 13 unt; 0 def)
% Number of atoms : 606 ( 0 equ)
% Maximal formula atoms : 96 ( 12 avg)
% Number of connectives : 989 ( 432 ~; 436 |; 120 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 297 ( 0 sgn 201 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
file('/tmp/tmphb06JP/sel_LCL672+1.001.p_1',main) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/tmp/tmphb06JP/sel_LCL672+1.001.p_1',transitivity) ).
fof(3,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmphb06JP/sel_LCL672+1.001.p_1',reflexivity) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
~ ~ ? [X1] :
~ ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ( ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(6,negated_conjecture,
? [X1] :
( ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
| ~ p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X1] :
( r1(X2,X1)
& ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ? [X2] :
( r1(X1,X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X1] :
( ~ r1(X2,X1)
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ? [X1] :
( r1(X2,X1)
& $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ? [X1] :
( r1(X2,X1)
& ~ p1(X1) ) )
& ? [X2] :
( r1(X1,X2)
& ~ p1(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(7,negated_conjecture,
? [X3] :
( ( ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ! [X5] :
( ~ r1(X3,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ? [X7] :
( r1(X6,X7)
& p1(X7) ) )
| ~ p1(X5) )
| ! [X8] :
( ~ r1(X3,X8)
| p1(X8) ) )
& ( ! [X9] :
( ~ r1(X3,X9)
| p2(X9) )
| ! [X10] :
( ~ r1(X3,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ? [X13] :
( r1(X12,X13)
& ~ p1(X13) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p1(X14) ) ) )
| ! [X15] :
( ~ r1(X3,X15)
| p1(X15) ) )
& ( ! [X16] :
( ~ r1(X3,X16)
| p2(X16) )
| ! [X17] :
( ~ r1(X3,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ? [X19] :
( r1(X18,X19)
& ! [X20] :
( ~ r1(X19,X20)
| p1(X20) ) ) )
| ! [X21] :
( ~ r1(X17,X21)
| ? [X22] :
( r1(X21,X22)
& ~ p1(X22) ) ) )
| ! [X23] :
( ~ r1(X3,X23)
| p1(X23) ) )
& ( ! [X24] :
( ~ r1(X3,X24)
| p2(X24) )
| ! [X25] :
( ~ r1(X3,X25)
| ? [X26] :
( r1(X25,X26)
& $true ) )
| ! [X27] :
( ~ r1(X3,X27)
| p1(X27) ) )
& ? [X28] :
( r1(X3,X28)
& ~ p2(X28) )
& ? [X29] :
( r1(X3,X29)
& ? [X30] :
( r1(X29,X30)
& ! [X31] :
( ~ r1(X30,X31)
| p1(X31) ) )
& ? [X32] :
( r1(X29,X32)
& ~ p1(X32) ) )
& ? [X33] :
( r1(X3,X33)
& ~ p1(X33) ) ),
inference(variable_rename,[status(thm)],[6]) ).
fof(8,negated_conjecture,
( ( ! [X4] :
( ~ r1(esk1_0,X4)
| p2(X4) )
| ! [X5] :
( ~ r1(esk1_0,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ( r1(X6,esk2_2(X5,X6))
& p1(esk2_2(X5,X6)) ) )
| ~ p1(X5) )
| ! [X8] :
( ~ r1(esk1_0,X8)
| p1(X8) ) )
& ( ! [X9] :
( ~ r1(esk1_0,X9)
| p2(X9) )
| ! [X10] :
( ~ r1(esk1_0,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ( r1(X12,esk3_3(X10,X11,X12))
& ~ p1(esk3_3(X10,X11,X12)) ) )
| ! [X14] :
( ~ r1(X11,X14)
| p1(X14) ) ) )
| ! [X15] :
( ~ r1(esk1_0,X15)
| p1(X15) ) )
& ( ! [X16] :
( ~ r1(esk1_0,X16)
| p2(X16) )
| ! [X17] :
( ~ r1(esk1_0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ( r1(X18,esk4_2(X17,X18))
& ! [X20] :
( ~ r1(esk4_2(X17,X18),X20)
| p1(X20) ) ) )
| ! [X21] :
( ~ r1(X17,X21)
| ( r1(X21,esk5_2(X17,X21))
& ~ p1(esk5_2(X17,X21)) ) ) )
| ! [X23] :
( ~ r1(esk1_0,X23)
| p1(X23) ) )
& ( ! [X24] :
( ~ r1(esk1_0,X24)
| p2(X24) )
| ! [X25] :
( ~ r1(esk1_0,X25)
| ( r1(X25,esk6_1(X25))
& $true ) )
| ! [X27] :
( ~ r1(esk1_0,X27)
| p1(X27) ) )
& r1(esk1_0,esk7_0)
& ~ p2(esk7_0)
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk9_0)
& ! [X31] :
( ~ r1(esk9_0,X31)
| p1(X31) )
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& r1(esk1_0,esk11_0)
& ~ p1(esk11_0) ),
inference(skolemize,[status(esa)],[7]) ).
fof(9,negated_conjecture,
! [X4,X5,X6,X8,X9,X10,X11,X12,X14,X15,X16,X17,X18,X20,X21,X23,X24,X25,X27,X31] :
( ( ~ r1(esk9_0,X31)
| p1(X31) )
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& ( ~ r1(esk1_0,X27)
| p1(X27)
| ~ r1(esk1_0,X25)
| ( r1(X25,esk6_1(X25))
& $true )
| ~ r1(esk1_0,X24)
| p2(X24) )
& ( ~ r1(esk1_0,X23)
| p1(X23)
| ~ r1(X17,X21)
| ( r1(X21,esk5_2(X17,X21))
& ~ p1(esk5_2(X17,X21)) )
| ( ( ~ r1(esk4_2(X17,X18),X20)
| p1(X20) )
& r1(X18,esk4_2(X17,X18)) )
| ~ r1(X17,X18)
| ~ r1(esk1_0,X17)
| ~ r1(esk1_0,X16)
| p2(X16) )
& ( ~ r1(esk1_0,X15)
| p1(X15)
| ~ r1(X11,X14)
| p1(X14)
| ~ r1(X11,X12)
| ( r1(X12,esk3_3(X10,X11,X12))
& ~ p1(esk3_3(X10,X11,X12)) )
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10)
| ~ r1(esk1_0,X9)
| p2(X9) )
& ( ~ r1(esk1_0,X8)
| p1(X8)
| ~ r1(X5,X6)
| ( r1(X6,esk2_2(X5,X6))
& p1(esk2_2(X5,X6)) )
| ~ p1(X5)
| ~ r1(esk1_0,X5)
| ~ r1(esk1_0,X4)
| p2(X4) )
& r1(esk1_0,esk7_0)
& ~ p2(esk7_0)
& r1(esk1_0,esk11_0)
& ~ p1(esk11_0) ),
inference(shift_quantors,[status(thm)],[8]) ).
fof(10,negated_conjecture,
! [X4,X5,X6,X8,X9,X10,X11,X12,X14,X15,X16,X17,X18,X20,X21,X23,X24,X25,X27,X31] :
( ( ~ r1(esk9_0,X31)
| p1(X31) )
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& ( r1(X25,esk6_1(X25))
| ~ r1(esk1_0,X25)
| ~ r1(esk1_0,X24)
| p2(X24)
| ~ r1(esk1_0,X27)
| p1(X27) )
& ( $true
| ~ r1(esk1_0,X25)
| ~ r1(esk1_0,X24)
| p2(X24)
| ~ r1(esk1_0,X27)
| p1(X27) )
& ( ~ r1(esk4_2(X17,X18),X20)
| p1(X20)
| ~ r1(X17,X18)
| r1(X21,esk5_2(X17,X21))
| ~ r1(X17,X21)
| ~ r1(esk1_0,X17)
| ~ r1(esk1_0,X16)
| p2(X16)
| ~ r1(esk1_0,X23)
| p1(X23) )
& ( r1(X18,esk4_2(X17,X18))
| ~ r1(X17,X18)
| r1(X21,esk5_2(X17,X21))
| ~ r1(X17,X21)
| ~ r1(esk1_0,X17)
| ~ r1(esk1_0,X16)
| p2(X16)
| ~ r1(esk1_0,X23)
| p1(X23) )
& ( ~ r1(esk4_2(X17,X18),X20)
| p1(X20)
| ~ r1(X17,X18)
| ~ p1(esk5_2(X17,X21))
| ~ r1(X17,X21)
| ~ r1(esk1_0,X17)
| ~ r1(esk1_0,X16)
| p2(X16)
| ~ r1(esk1_0,X23)
| p1(X23) )
& ( r1(X18,esk4_2(X17,X18))
| ~ r1(X17,X18)
| ~ p1(esk5_2(X17,X21))
| ~ r1(X17,X21)
| ~ r1(esk1_0,X17)
| ~ r1(esk1_0,X16)
| p2(X16)
| ~ r1(esk1_0,X23)
| p1(X23) )
& ( r1(X12,esk3_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X11,X14)
| p1(X14)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10)
| ~ r1(esk1_0,X9)
| p2(X9)
| ~ r1(esk1_0,X15)
| p1(X15) )
& ( ~ p1(esk3_3(X10,X11,X12))
| ~ r1(X11,X12)
| ~ r1(X11,X14)
| p1(X14)
| ~ r1(X10,X11)
| ~ r1(esk1_0,X10)
| ~ r1(esk1_0,X9)
| p2(X9)
| ~ r1(esk1_0,X15)
| p1(X15) )
& ( r1(X6,esk2_2(X5,X6))
| ~ r1(X5,X6)
| ~ p1(X5)
| ~ r1(esk1_0,X5)
| ~ r1(esk1_0,X4)
| p2(X4)
| ~ r1(esk1_0,X8)
| p1(X8) )
& ( p1(esk2_2(X5,X6))
| ~ r1(X5,X6)
| ~ p1(X5)
| ~ r1(esk1_0,X5)
| ~ r1(esk1_0,X4)
| p2(X4)
| ~ r1(esk1_0,X8)
| p1(X8) )
& r1(esk1_0,esk7_0)
& ~ p2(esk7_0)
& r1(esk1_0,esk11_0)
& ~ p1(esk11_0) ),
inference(distribute,[status(thm)],[9]) ).
cnf(11,negated_conjecture,
~ p1(esk11_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(12,negated_conjecture,
r1(esk1_0,esk11_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(13,negated_conjecture,
~ p2(esk7_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(14,negated_conjecture,
r1(esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(17,negated_conjecture,
( p1(X1)
| p2(X2)
| p1(X5)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X4,X6)
| ~ p1(esk3_3(X3,X4,X6)) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(18,negated_conjecture,
( p1(X1)
| p2(X2)
| p1(X5)
| r1(X6,esk3_3(X3,X4,X6))
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X4,X6) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(27,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(28,negated_conjecture,
r1(esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(29,negated_conjecture,
( p1(X1)
| ~ r1(esk9_0,X1) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(30,plain,
! [X1,X2,X3] :
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| r1(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(31,plain,
! [X4,X5,X6] :
( ~ r1(X4,X5)
| ~ r1(X5,X6)
| r1(X4,X6) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[3]) ).
cnf(34,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(40,negated_conjecture,
( r1(X1,esk9_0)
| ~ r1(X1,esk8_0) ),
inference(spm,[status(thm)],[32,28,theory(equality)]) ).
cnf(56,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1)
| ~ r1(X5,X6)
| ~ r1(X5,X2)
| ~ r1(X4,X5)
| ~ r1(esk9_0,esk3_3(X4,X5,X6)) ),
inference(spm,[status(thm)],[17,29,theory(equality)]) ).
cnf(65,negated_conjecture,
( p1(X1)
| p1(esk11_0)
| p2(X2)
| r1(X3,esk3_3(X4,esk1_0,X3))
| ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3)
| ~ r1(X4,esk1_0) ),
inference(spm,[status(thm)],[18,12,theory(equality)]) ).
cnf(69,negated_conjecture,
( p1(X1)
| p2(X2)
| r1(X3,esk3_3(X4,esk1_0,X3))
| ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3)
| ~ r1(X4,esk1_0) ),
inference(sr,[status(thm)],[65,11,theory(equality)]) ).
cnf(142,negated_conjecture,
( p1(X1)
| p2(X2)
| r1(X3,esk3_3(esk1_0,esk1_0,X3))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[69,34,theory(equality)]) ).
cnf(147,negated_conjecture,
( p1(X1)
| p2(X2)
| r1(X3,esk3_3(esk1_0,esk1_0,X3))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3)
| $false ),
inference(rw,[status(thm)],[142,34,theory(equality)]) ).
cnf(148,negated_conjecture,
( p1(X1)
| p2(X2)
| r1(X3,esk3_3(esk1_0,esk1_0,X3))
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X3) ),
inference(cn,[status(thm)],[147,theory(equality)]) ).
cnf(157,negated_conjecture,
( p1(X1)
| p2(esk7_0)
| r1(X2,esk3_3(esk1_0,esk1_0,X2))
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2) ),
inference(spm,[status(thm)],[148,14,theory(equality)]) ).
cnf(165,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(esk1_0,esk1_0,X2))
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2) ),
inference(sr,[status(thm)],[157,13,theory(equality)]) ).
cnf(177,negated_conjecture,
( p1(esk11_0)
| r1(X1,esk3_3(esk1_0,esk1_0,X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[165,12,theory(equality)]) ).
cnf(183,negated_conjecture,
( r1(X1,esk3_3(esk1_0,esk1_0,X1))
| ~ r1(esk1_0,X1) ),
inference(sr,[status(thm)],[177,11,theory(equality)]) ).
cnf(1438,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,esk1_0)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,esk9_0)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[56,183,theory(equality)]) ).
cnf(1440,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| $false
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,esk9_0)
| ~ r1(esk1_0,X1) ),
inference(rw,[status(thm)],[1438,34,theory(equality)]) ).
cnf(1441,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,esk9_0)
| ~ r1(esk1_0,X1) ),
inference(cn,[status(thm)],[1440,theory(equality)]) ).
cnf(3550,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,esk8_0) ),
inference(spm,[status(thm)],[1441,40,theory(equality)]) ).
cnf(3552,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2)
| $false ),
inference(rw,[status(thm)],[3550,27,theory(equality)]) ).
cnf(3553,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(X3)
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X1)
| ~ r1(esk1_0,X2) ),
inference(cn,[status(thm)],[3552,theory(equality)]) ).
cnf(3556,negated_conjecture,
( p1(X1)
| p1(X2)
| p2(esk7_0)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[3553,14,theory(equality)]) ).
cnf(3609,negated_conjecture,
( p1(X1)
| p1(X2)
| ~ r1(esk1_0,X2)
| ~ r1(esk1_0,X1) ),
inference(sr,[status(thm)],[3556,13,theory(equality)]) ).
cnf(3685,negated_conjecture,
( p1(esk11_0)
| p1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[3609,12,theory(equality)]) ).
cnf(3736,negated_conjecture,
( p1(X1)
| ~ r1(esk1_0,X1) ),
inference(sr,[status(thm)],[3685,11,theory(equality)]) ).
cnf(3813,negated_conjecture,
~ r1(esk1_0,esk11_0),
inference(spm,[status(thm)],[11,3736,theory(equality)]) ).
cnf(3814,negated_conjecture,
$false,
inference(rw,[status(thm)],[3813,12,theory(equality)]) ).
cnf(3815,negated_conjecture,
$false,
inference(cn,[status(thm)],[3814,theory(equality)]) ).
cnf(3816,negated_conjecture,
$false,
3815,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL672+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmphb06JP/sel_LCL672+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL672+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL672+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL672+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
%
%------------------------------------------------------------------------------