TSTP Solution File: LCL668+1.001 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 10:16:23 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 94 ( 6 unt; 0 def)
% Number of atoms : 860 ( 0 equ)
% Maximal formula atoms : 154 ( 9 avg)
% Number of connectives : 1509 ( 743 ~; 693 |; 73 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 8 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 : 495 ( 1 sgn 126 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,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('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).
fof(c_0_2,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)],[main]) ).
fof(c_0_3,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(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)
& ( 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) )
& ( 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) )
& ( 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) )
& ( 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) )
& ( 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) )
& 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)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])])]) ).
fof(c_0_4,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_5,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)],[c_0_3]) ).
cnf(c_0_6,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,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)],[c_0_3]) ).
cnf(c_0_8,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)],[c_0_3]) ).
cnf(c_0_9,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)],[c_0_3]) ).
cnf(c_0_10,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)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_15,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)
| ~ p2(X8)
| ~ p3(X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,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)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_22,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)
| ~ p5(X8)
| ~ p1(X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( p2(X8)
| p1(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)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_22,c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_23,c_0_6]) ).
cnf(c_0_33,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_24,c_0_6]) ).
cnf(c_0_34,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_26,c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_6]) ).
cnf(c_0_37,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_28,c_0_6]) ).
cnf(c_0_38,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_29,c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_6]) ).
cnf(c_0_40,negated_conjecture,
( p5(X8)
| p4(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)],[c_0_3]) ).
cnf(c_0_41,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_31,c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_32,c_0_6]) ).
cnf(c_0_43,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_33,c_0_6]) ).
cnf(c_0_44,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_34,c_0_6]) ).
cnf(c_0_45,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_6]) ).
cnf(c_0_46,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_6]) ).
cnf(c_0_47,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_6]) ).
cnf(c_0_48,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_6]) ).
cnf(c_0_49,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_6]) ).
cnf(c_0_50,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_40,c_0_6]) ).
cnf(c_0_51,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_41,c_0_6]) ).
cnf(c_0_52,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_42,c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_6]) ).
cnf(c_0_54,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_44,c_0_6]) ).
cnf(c_0_55,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_6]) ).
cnf(c_0_57,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_6]) ).
cnf(c_0_58,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_6]) ).
cnf(c_0_59,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_6]) ).
cnf(c_0_60,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_50,c_0_6]) ).
cnf(c_0_61,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_6]) ).
cnf(c_0_62,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_6]) ).
cnf(c_0_63,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_6]) ).
cnf(c_0_64,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_6]) ).
cnf(c_0_65,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_6]) ).
cnf(c_0_66,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_6]) ).
cnf(c_0_67,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_6]) ).
cnf(c_0_68,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_6]) ).
cnf(c_0_69,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_6]) ).
cnf(c_0_70,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_60,c_0_6]) ).
cnf(c_0_71,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_6]) ).
cnf(c_0_72,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_6]) ).
cnf(c_0_73,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_6]) ).
cnf(c_0_74,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_6]) ).
cnf(c_0_75,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_6]) ).
cnf(c_0_76,negated_conjecture,
( p5(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( p2(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_6]) ).
cnf(c_0_79,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_6]) ).
cnf(c_0_80,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_6]) ).
cnf(c_0_81,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_6]) ).
cnf(c_0_82,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_6]) ).
cnf(c_0_83,negated_conjecture,
( ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_84,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_6]) ).
cnf(c_0_85,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_6]) ).
cnf(c_0_86,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_6]) ).
cnf(c_0_87,negated_conjecture,
( ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_6]) ).
cnf(c_0_89,negated_conjecture,
( ~ p5(X1)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_6]) ).
cnf(c_0_91,negated_conjecture,
r1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_92,negated_conjecture,
~ r1(esk1_0,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_83]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_91,c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL668+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 3 07:27:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.021 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 94
% 0.22/1.40 # Proof object clause steps : 89
% 0.22/1.40 # Proof object formula steps : 5
% 0.22/1.40 # Proof object conjectures : 91
% 0.22/1.40 # Proof object clause conjectures : 88
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 12
% 0.22/1.40 # Proof object initial formulas used : 2
% 0.22/1.40 # Proof object generating inferences : 76
% 0.22/1.40 # Proof object simplifying inferences : 5
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 2
% 0.22/1.40 # Removed by relevancy pruning/SinE : 0
% 0.22/1.40 # Initial clauses : 35
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 35
% 0.22/1.40 # Processed clauses : 302
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 23
% 0.22/1.40 # ...remaining for further processing : 279
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 13
% 0.22/1.40 # Backward-rewritten : 0
% 0.22/1.40 # Generated clauses : 1308
% 0.22/1.40 # ...of the previous two non-trivial : 1104
% 0.22/1.40 # Contextual simplify-reflections : 29
% 0.22/1.40 # Paramodulations : 1305
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 263
% 0.22/1.40 # Positive orientable unit clauses : 11
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 5
% 0.22/1.40 # Non-unit-clauses : 247
% 0.22/1.40 # Current number of unprocessed clauses: 655
% 0.22/1.40 # ...number of literals in the above : 5669
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 16
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 12912
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 2833
% 0.22/1.40 # Non-unit clause-clause subsumptions : 65
% 0.22/1.40 # Unit Clause-clause subsumption calls : 674
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 0
% 0.22/1.40 # BW rewrite match successes : 0
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 30932
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.259 s
% 0.22/1.40 # System time : 0.008 s
% 0.22/1.40 # Total time : 0.267 s
% 0.22/1.40 # Maximum resident set size: 4536 pages
%------------------------------------------------------------------------------