TSTP Solution File: LCL668+1.001 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:33:02 EDT 2023
% Result : Theorem 4.68s 1.09s
% Output : CNFRefutation 4.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 63 ( 5 unt; 0 def)
% Number of atoms : 727 ( 0 equ)
% Maximal formula atoms : 154 ( 11 avg)
% Number of connectives : 1316 ( 652 ~; 591 |; 73 &)
% ( 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 : 419 ( 0 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/tmp/tmp.Ow45SzZgPf/E---3.1_1402.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.Ow45SzZgPf/E---3.1_1402.p',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(fof_simplification,[status(thm)],[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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_4,plain,
! [X51] : r1(X51,X51),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_5,negated_conjecture,
( ~ p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,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,
( ~ p4(X1)
| ~ p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,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(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1)
| p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( p2(X1)
| p3(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,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(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,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(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( p4(X1)
| p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,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(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,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(X8,X7)
| ~ r1(esk1_0,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_6]) ).
cnf(c_0_31,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_32,negated_conjecture,
r1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_6]) ).
cnf(c_0_34,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_6]) ).
cnf(c_0_37,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_6]) ).
cnf(c_0_38,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_6]) ).
cnf(c_0_40,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_6]) ).
cnf(c_0_41,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_45,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_47,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_48,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( ~ p1(X1)
| ~ p2(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_6]) ).
cnf(c_0_50,negated_conjecture,
( ~ p3(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_6]) ).
cnf(c_0_51,negated_conjecture,
( ~ p5(X1)
| ~ p4(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_6]) ).
cnf(c_0_52,negated_conjecture,
( p1(X1)
| p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( p3(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_6]) ).
cnf(c_0_54,negated_conjecture,
( p1(X1)
| p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_6]) ).
cnf(c_0_55,negated_conjecture,
( p3(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_6]) ).
cnf(c_0_56,negated_conjecture,
( p5(X1)
| p4(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_6]) ).
cnf(c_0_57,negated_conjecture,
( ~ p1(X1)
| ~ p5(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_6]) ).
cnf(c_0_58,negated_conjecture,
( ~ p3(X1)
| ~ p2(X1)
| ~ r1(esk2_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_6]) ).
cnf(c_0_59,negated_conjecture,
( ~ p1(esk2_0)
| ~ p2(esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_60,negated_conjecture,
( ~ p3(esk2_0)
| ~ p4(esk2_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( ~ p5(esk2_0)
| ~ p4(esk2_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_32]) ).
cnf(c_0_62,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_52,c_0_53,c_0_54,c_0_55,c_0_56,c_0_57,c_0_58,c_0_59,c_0_60,c_0_61,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Oct 2 12:32:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Ow45SzZgPf/E---3.1_1402.p
% 4.68/1.09 # Version: 3.1pre001
% 4.68/1.09 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.68/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.68/1.09 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.68/1.09 # Starting new_bool_3 with 300s (1) cores
% 4.68/1.09 # Starting new_bool_1 with 300s (1) cores
% 4.68/1.09 # Starting sh5l with 300s (1) cores
% 4.68/1.09 # new_bool_1 with pid 1482 completed with status 0
% 4.68/1.09 # Result found by new_bool_1
% 4.68/1.09 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.68/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.68/1.09 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.68/1.09 # Starting new_bool_3 with 300s (1) cores
% 4.68/1.09 # Starting new_bool_1 with 300s (1) cores
% 4.68/1.09 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.68/1.09 # Search class: FGHNF-FFMM32-SFFFFFNN
% 4.68/1.09 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.68/1.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 181s (1) cores
% 4.68/1.09 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 1489 completed with status 0
% 4.68/1.09 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 4.68/1.09 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.68/1.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.68/1.09 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.68/1.09 # Starting new_bool_3 with 300s (1) cores
% 4.68/1.09 # Starting new_bool_1 with 300s (1) cores
% 4.68/1.09 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.68/1.09 # Search class: FGHNF-FFMM32-SFFFFFNN
% 4.68/1.09 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.68/1.09 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 181s (1) cores
% 4.68/1.09 # Preprocessing time : 0.002 s
% 4.68/1.09 # Presaturation interreduction done
% 4.68/1.09 # SatCheck found unsatisfiable ground set
% 4.68/1.09
% 4.68/1.09 # Proof found!
% 4.68/1.09 # SZS status Theorem
% 4.68/1.09 # SZS output start CNFRefutation
% See solution above
% 4.68/1.09 # Parsed axioms : 2
% 4.68/1.09 # Removed by relevancy pruning/SinE : 0
% 4.68/1.09 # Initial clauses : 35
% 4.68/1.09 # Removed in clause preprocessing : 0
% 4.68/1.09 # Initial clauses in saturation : 35
% 4.68/1.09 # Processed clauses : 6927
% 4.68/1.09 # ...of these trivial : 0
% 4.68/1.09 # ...subsumed : 1927
% 4.68/1.09 # ...remaining for further processing : 5000
% 4.68/1.09 # Other redundant clauses eliminated : 0
% 4.68/1.09 # Clauses deleted for lack of memory : 0
% 4.68/1.09 # Backward-subsumed : 1
% 4.68/1.09 # Backward-rewritten : 0
% 4.68/1.09 # Generated clauses : 14825
% 4.68/1.09 # ...of the previous two non-redundant : 14825
% 4.68/1.09 # ...aggressively subsumed : 0
% 4.68/1.09 # Contextual simplify-reflections : 0
% 4.68/1.09 # Paramodulations : 14825
% 4.68/1.09 # Factorizations : 0
% 4.68/1.09 # NegExts : 0
% 4.68/1.09 # Equation resolutions : 0
% 4.68/1.09 # Total rewrite steps : 0
% 4.68/1.09 # Propositional unsat checks : 1
% 4.68/1.09 # Propositional check models : 0
% 4.68/1.09 # Propositional check unsatisfiable : 1
% 4.68/1.09 # Propositional clauses : 12932
% 4.68/1.09 # Propositional clauses after purity: 107
% 4.68/1.09 # Propositional unsat core size : 11
% 4.68/1.09 # Propositional preprocessing time : 0.000
% 4.68/1.09 # Propositional encoding time : 0.008
% 4.68/1.09 # Propositional solver time : 0.003
% 4.68/1.09 # Success case prop preproc time : 0.000
% 4.68/1.09 # Success case prop encoding time : 0.008
% 4.68/1.09 # Success case prop solver time : 0.003
% 4.68/1.09 # Current number of processed clauses : 4964
% 4.68/1.09 # Positive orientable unit clauses : 566
% 4.68/1.09 # Positive unorientable unit clauses: 0
% 4.68/1.09 # Negative unit clauses : 1416
% 4.68/1.09 # Non-unit-clauses : 2982
% 4.68/1.09 # Current number of unprocessed clauses: 7968
% 4.68/1.09 # ...number of literals in the above : 35897
% 4.68/1.09 # Current number of archived formulas : 0
% 4.68/1.09 # Current number of archived clauses : 36
% 4.68/1.09 # Clause-clause subsumption calls (NU) : 999542
% 4.68/1.09 # Rec. Clause-clause subsumption calls : 171237
% 4.68/1.09 # Non-unit clause-clause subsumptions : 1057
% 4.68/1.09 # Unit Clause-clause subsumption calls : 84695
% 4.68/1.09 # Rewrite failures with RHS unbound : 0
% 4.68/1.09 # BW rewrite match attempts : 258
% 4.68/1.09 # BW rewrite match successes : 0
% 4.68/1.09 # Condensation attempts : 0
% 4.68/1.09 # Condensation successes : 0
% 4.68/1.09 # Termbank termtop insertions : 386073
% 4.68/1.09
% 4.68/1.09 # -------------------------------------------------
% 4.68/1.09 # User time : 0.570 s
% 4.68/1.09 # System time : 0.022 s
% 4.68/1.09 # Total time : 0.592 s
% 4.68/1.09 # Maximum resident set size: 1916 pages
% 4.68/1.09
% 4.68/1.09 # -------------------------------------------------
% 4.68/1.09 # User time : 0.571 s
% 4.68/1.09 # System time : 0.025 s
% 4.68/1.09 # Total time : 0.596 s
% 4.68/1.09 # Maximum resident set size: 1692 pages
% 4.68/1.09 % E---3.1 exiting
%------------------------------------------------------------------------------