TSTP Solution File: LCL688+1.001 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL688+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 : 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 : Sat Dec 25 20:52:02 EST 2010
% Result : Theorem 19.12s
% Output : CNFRefutation 19.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 8 unt; 0 def)
% Number of atoms : 536 ( 0 equ)
% Maximal formula atoms : 110 ( 13 avg)
% Number of connectives : 940 ( 445 ~; 364 |; 130 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 254 ( 0 sgn 167 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ) ) )
| ( ~ p1(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [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) ) ) ),
file('/tmp/tmpr1git5/sel_LCL688+1.001.p_1',main) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/tmp/tmpr1git5/sel_LCL688+1.001.p_1',transitivity) ).
fof(3,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmpr1git5/sel_LCL688+1.001.p_1',reflexivity) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ) ) )
| ( ~ p1(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [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) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ) ) )
| ( ~ p1(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [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) ) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(6,negated_conjecture,
? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| ( ! [X1] :
( ~ r1(X2,X1)
| ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ~ p3(X1) )
& p2(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ? [X1] :
( r1(X2,X1)
& ~ p3(X1) )
& p2(X2) ) )
| ~ p2(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X1] :
( r1(X2,X1)
& ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) ) )
& ( p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X1] :
( r1(X2,X1)
& ~ p1(X1) ) )
| ? [X2] :
( r1(X1,X2)
& ~ p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
| ~ p1(X1) ) ) )
& ? [X2] :
( r1(X1,X2)
& ? [X1] :
( r1(X2,X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ? [X1] :
( r1(X2,X1)
& ~ p1(X1) ) )
& ? [X2] :
( r1(X1,X2)
& ! [X1] :
( ~ r1(X2,X1)
| ? [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) ) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(7,negated_conjecture,
? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| ~ p4(X4) )
& ! [X5] :
( ~ r1(X3,X5)
| ( ! [X6] :
( ~ r1(X5,X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p3(X8) )
& p2(X7) ) )
& ! [X9] :
( ~ r1(X5,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( ? [X11] :
( r1(X10,X11)
& ~ p3(X11) )
& p2(X10) ) )
| ~ p2(X9)
| ! [X12] :
( ~ r1(X9,X12)
| ? [X13] :
( r1(X12,X13)
& ! [X14] :
( ~ r1(X13,X14)
| ~ p2(X14) ) ) ) ) ) )
& ( p1(X3)
| ! [X15] :
( ~ r1(X3,X15)
| ? [X16] :
( r1(X15,X16)
& ~ p1(X16) ) )
| ? [X17] :
( r1(X3,X17)
& ~ p1(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) ) )
& ? [X20] :
( r1(X3,X20)
& ? [X21] :
( r1(X20,X21)
& ! [X22] :
( ~ r1(X21,X22)
| p1(X22) ) )
& ? [X23] :
( r1(X20,X23)
& ~ p1(X23) ) )
& ? [X24] :
( r1(X3,X24)
& ! [X25] :
( ~ r1(X24,X25)
| ? [X26] :
( r1(X25,X26)
& ~ p2(X26) ) ) )
& ! [X27] :
( ~ r1(X3,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ~ p1(X29) ) )
| ? [X30] :
( r1(X27,X30)
& p1(X30) ) ) ),
inference(variable_rename,[status(thm)],[6]) ).
fof(8,negated_conjecture,
( ! [X4] :
( ~ r1(esk1_0,X4)
| ~ p4(X4) )
& ! [X5] :
( ~ r1(esk1_0,X5)
| ( ! [X6] :
( ~ r1(X5,X6)
| ( r1(X6,esk2_2(X5,X6))
& r1(esk2_2(X5,X6),esk3_2(X5,X6))
& ~ p3(esk3_2(X5,X6))
& p2(esk2_2(X5,X6)) ) )
& ! [X9] :
( ~ r1(X5,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ( r1(X10,esk4_3(X5,X9,X10))
& ~ p3(esk4_3(X5,X9,X10))
& p2(X10) ) )
| ~ p2(X9)
| ! [X12] :
( ~ r1(X9,X12)
| ( r1(X12,esk5_3(X5,X9,X12))
& ! [X14] :
( ~ r1(esk5_3(X5,X9,X12),X14)
| ~ p2(X14) ) ) ) ) ) )
& ( p1(esk1_0)
| ! [X15] :
( ~ r1(esk1_0,X15)
| ( r1(X15,esk6_1(X15))
& ~ p1(esk6_1(X15)) ) )
| ( r1(esk1_0,esk7_0)
& ~ p1(esk7_0)
& ! [X18] :
( ~ r1(esk7_0,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) ) )
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk9_0)
& ! [X22] :
( ~ r1(esk9_0,X22)
| p1(X22) )
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& r1(esk1_0,esk11_0)
& ! [X25] :
( ~ r1(esk11_0,X25)
| ( r1(X25,esk12_1(X25))
& ~ p2(esk12_1(X25)) ) )
& ! [X27] :
( ~ r1(esk1_0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ~ p1(X29) ) )
| ( r1(X27,esk13_1(X27))
& p1(esk13_1(X27)) ) ) ),
inference(skolemize,[status(esa)],[7]) ).
fof(9,negated_conjecture,
! [X4,X5,X6,X9,X10,X12,X14,X15,X18,X19,X22,X25,X27,X28,X29] :
( ( ~ r1(X28,X29)
| ~ p1(X29)
| ~ r1(X27,X28)
| ~ r1(esk1_0,X27)
| ( r1(X27,esk13_1(X27))
& p1(esk13_1(X27)) ) )
& ( ~ r1(esk11_0,X25)
| ( r1(X25,esk12_1(X25))
& ~ p2(esk12_1(X25)) ) )
& r1(esk1_0,esk11_0)
& ( ~ r1(esk9_0,X22)
| p1(X22) )
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& ( ( ( ~ r1(X18,X19)
| p1(X19)
| ~ p1(X18)
| ~ r1(esk7_0,X18) )
& r1(esk1_0,esk7_0)
& ~ p1(esk7_0) )
| ~ r1(esk1_0,X15)
| ( r1(X15,esk6_1(X15))
& ~ p1(esk6_1(X15)) )
| p1(esk1_0) )
& ( ( ( ( ( ~ r1(esk5_3(X5,X9,X12),X14)
| ~ p2(X14) )
& r1(X12,esk5_3(X5,X9,X12)) )
| ~ r1(X9,X12)
| ~ r1(X9,X10)
| ( r1(X10,esk4_3(X5,X9,X10))
& ~ p3(esk4_3(X5,X9,X10))
& p2(X10) )
| ~ p2(X9)
| ~ r1(X5,X9) )
& ( ~ r1(X5,X6)
| ( r1(X6,esk2_2(X5,X6))
& r1(esk2_2(X5,X6),esk3_2(X5,X6))
& ~ p3(esk3_2(X5,X6))
& p2(esk2_2(X5,X6)) ) ) )
| ~ r1(esk1_0,X5) )
& ( ~ r1(esk1_0,X4)
| ~ p4(X4) ) ),
inference(shift_quantors,[status(thm)],[8]) ).
fof(10,negated_conjecture,
! [X4,X5,X6,X9,X10,X12,X14,X15,X18,X19,X22,X25,X27,X28,X29] :
( ( r1(X27,esk13_1(X27))
| ~ r1(X28,X29)
| ~ p1(X29)
| ~ r1(X27,X28)
| ~ r1(esk1_0,X27) )
& ( p1(esk13_1(X27))
| ~ r1(X28,X29)
| ~ p1(X29)
| ~ r1(X27,X28)
| ~ r1(esk1_0,X27) )
& ( r1(X25,esk12_1(X25))
| ~ r1(esk11_0,X25) )
& ( ~ p2(esk12_1(X25))
| ~ r1(esk11_0,X25) )
& r1(esk1_0,esk11_0)
& ( ~ r1(esk9_0,X22)
| p1(X22) )
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk10_0)
& ~ p1(esk10_0)
& ( r1(X15,esk6_1(X15))
| ~ r1(esk1_0,X15)
| p1(esk1_0)
| ~ r1(X18,X19)
| p1(X19)
| ~ p1(X18)
| ~ r1(esk7_0,X18) )
& ( ~ p1(esk6_1(X15))
| ~ r1(esk1_0,X15)
| p1(esk1_0)
| ~ r1(X18,X19)
| p1(X19)
| ~ p1(X18)
| ~ r1(esk7_0,X18) )
& ( r1(X15,esk6_1(X15))
| ~ r1(esk1_0,X15)
| p1(esk1_0)
| r1(esk1_0,esk7_0) )
& ( ~ p1(esk6_1(X15))
| ~ r1(esk1_0,X15)
| p1(esk1_0)
| r1(esk1_0,esk7_0) )
& ( r1(X15,esk6_1(X15))
| ~ r1(esk1_0,X15)
| p1(esk1_0)
| ~ p1(esk7_0) )
& ( ~ p1(esk6_1(X15))
| ~ r1(esk1_0,X15)
| p1(esk1_0)
| ~ p1(esk7_0) )
& ( r1(X10,esk4_3(X5,X9,X10))
| ~ r1(X9,X10)
| ~ p2(X9)
| ~ r1(esk5_3(X5,X9,X12),X14)
| ~ p2(X14)
| ~ r1(X9,X12)
| ~ r1(X5,X9)
| ~ r1(esk1_0,X5) )
& ( ~ p3(esk4_3(X5,X9,X10))
| ~ r1(X9,X10)
| ~ p2(X9)
| ~ r1(esk5_3(X5,X9,X12),X14)
| ~ p2(X14)
| ~ r1(X9,X12)
| ~ r1(X5,X9)
| ~ r1(esk1_0,X5) )
& ( p2(X10)
| ~ r1(X9,X10)
| ~ p2(X9)
| ~ r1(esk5_3(X5,X9,X12),X14)
| ~ p2(X14)
| ~ r1(X9,X12)
| ~ r1(X5,X9)
| ~ r1(esk1_0,X5) )
& ( r1(X10,esk4_3(X5,X9,X10))
| ~ r1(X9,X10)
| ~ p2(X9)
| r1(X12,esk5_3(X5,X9,X12))
| ~ r1(X9,X12)
| ~ r1(X5,X9)
| ~ r1(esk1_0,X5) )
& ( ~ p3(esk4_3(X5,X9,X10))
| ~ r1(X9,X10)
| ~ p2(X9)
| r1(X12,esk5_3(X5,X9,X12))
| ~ r1(X9,X12)
| ~ r1(X5,X9)
| ~ r1(esk1_0,X5) )
& ( p2(X10)
| ~ r1(X9,X10)
| ~ p2(X9)
| r1(X12,esk5_3(X5,X9,X12))
| ~ r1(X9,X12)
| ~ r1(X5,X9)
| ~ r1(esk1_0,X5) )
& ( r1(X6,esk2_2(X5,X6))
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( r1(esk2_2(X5,X6),esk3_2(X5,X6))
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( ~ p3(esk3_2(X5,X6))
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( p2(esk2_2(X5,X6))
| ~ r1(X5,X6)
| ~ r1(esk1_0,X5) )
& ( ~ r1(esk1_0,X4)
| ~ p4(X4) ) ),
inference(distribute,[status(thm)],[9]) ).
cnf(12,negated_conjecture,
( p2(esk2_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(15,negated_conjecture,
( r1(X2,esk2_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(16,negated_conjecture,
( r1(X3,esk5_3(X1,X2,X3))
| p2(X4)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p2(X2)
| ~ r1(X2,X4) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(19,negated_conjecture,
( p2(X5)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p2(X4)
| ~ r1(esk5_3(X1,X2,X3),X4)
| ~ p2(X2)
| ~ r1(X2,X5) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(33,negated_conjecture,
r1(esk1_0,esk11_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(34,negated_conjecture,
( ~ r1(esk11_0,X1)
| ~ p2(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(35,negated_conjecture,
( r1(X1,esk12_1(X1))
| ~ r1(esk11_0,X1) ),
inference(split_conjunct,[status(thm)],[10]) ).
fof(38,plain,
! [X1,X2,X3] :
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| r1(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(39,plain,
! [X4,X5,X6] :
( ~ r1(X4,X5)
| ~ r1(X5,X6)
| r1(X4,X6) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[3]) ).
cnf(42,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(49,negated_conjecture,
( r1(X1,esk12_1(X2))
| ~ r1(X1,X2)
| ~ r1(esk11_0,X2) ),
inference(spm,[status(thm)],[40,35,theory(equality)]) ).
cnf(93,negated_conjecture,
( p2(esk12_1(X1))
| r1(X2,esk5_3(X3,X1,X2))
| ~ p2(X1)
| ~ r1(esk1_0,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[16,35,theory(equality)]) ).
cnf(102,negated_conjecture,
( p2(X1)
| ~ p2(esk2_2(X2,esk5_3(X3,X4,X5)))
| ~ p2(X4)
| ~ r1(esk1_0,X3)
| ~ r1(X4,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X2)
| ~ r1(X2,esk5_3(X3,X4,X5)) ),
inference(spm,[status(thm)],[19,15,theory(equality)]) ).
cnf(181,negated_conjecture,
( r1(X1,esk12_1(X2))
| ~ r1(X1,X3)
| ~ r1(esk11_0,X2)
| ~ r1(X3,X2) ),
inference(spm,[status(thm)],[40,49,theory(equality)]) ).
cnf(1868,negated_conjecture,
( r1(esk1_0,esk12_1(X1))
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[181,33,theory(equality)]) ).
cnf(1926,negated_conjecture,
( r1(X2,esk5_3(X3,X1,X2))
| ~ p2(X1)
| ~ r1(esk1_0,X3)
| ~ r1(esk11_0,X1)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(csr,[status(thm)],[93,34]) ).
cnf(2624,negated_conjecture,
( p2(X1)
| ~ p2(X4)
| ~ r1(X2,esk5_3(X3,X4,X5))
| ~ r1(esk1_0,X3)
| ~ r1(esk1_0,X2)
| ~ r1(X4,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4) ),
inference(csr,[status(thm)],[102,12]) ).
cnf(2630,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X3)
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(esk11_0,X2) ),
inference(spm,[status(thm)],[2624,1926,theory(equality)]) ).
cnf(174729,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk11_0,X2)
| ~ r1(X2,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[2630,33,theory(equality)]) ).
cnf(198634,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ r1(esk11_0,X2)
| ~ r1(X2,X1)
| ~ r1(X2,esk12_1(X3))
| ~ r1(esk11_0,X3) ),
inference(spm,[status(thm)],[174729,1868,theory(equality)]) ).
cnf(210900,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ r1(esk11_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[198634,35,theory(equality)]) ).
cnf(211017,negated_conjecture,
( p2(esk12_1(X1))
| ~ p2(X1)
| ~ r1(esk11_0,X1) ),
inference(spm,[status(thm)],[210900,35,theory(equality)]) ).
cnf(211719,negated_conjecture,
( ~ p2(X1)
| ~ r1(esk11_0,X1) ),
inference(csr,[status(thm)],[211017,34]) ).
cnf(211720,negated_conjecture,
( ~ r1(esk11_0,esk2_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[211719,12,theory(equality)]) ).
cnf(213855,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,esk11_0) ),
inference(spm,[status(thm)],[211720,15,theory(equality)]) ).
cnf(213859,negated_conjecture,
~ r1(esk11_0,esk11_0),
inference(spm,[status(thm)],[213855,33,theory(equality)]) ).
cnf(214386,negated_conjecture,
$false,
inference(rw,[status(thm)],[213859,42,theory(equality)]) ).
cnf(214387,negated_conjecture,
$false,
inference(cn,[status(thm)],[214386,theory(equality)]) ).
cnf(214388,negated_conjecture,
$false,
214387,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL688+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpr1git5/sel_LCL688+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL688+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL688+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL688+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
%
%------------------------------------------------------------------------------