%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:15:58 PM UTC 2026
% Result : Theorem 8.93s 1.83s
% Output : CNFRefutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 63 ( 4 unt; 0 def)
% Number of atoms : 743 ( 0 equ)
% Maximal formula atoms : 154 ( 11 avg)
% Number of connectives : 1339 ( 659 ~; 587 |; 93 &)
% ( 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 : 403 ( 0 sgn 173 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( p1(X1)
& p2(X1)
& p3(X1)
& p4(X1)
& p5(X1)
& p6(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p5(X1)
& p1(X1) )
| ( ~ p1(X1)
& ~ p5(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( p7(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( ~ p2(X1)
& ~ p4(X1)
& ~ p6(X1)
& ~ p8(X1)
& ~ p10(X1)
& ~ p12(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( p1(X1)
& p2(X1)
& p3(X1)
& p4(X1)
& p5(X1)
& p6(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p5(X1)
& p1(X1) )
| ( ~ p1(X1)
& ~ p5(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( p7(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( ~ p2(X1)
& ~ p4(X1)
& ~ p6(X1)
& ~ p8(X1)
& ~ p10(X1)
& ~ p12(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( p1(X1)
& p2(X1)
& p3(X1)
& p4(X1)
& p5(X1)
& p6(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ( ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& ~ p1(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p2(X1)
& p3(X1) )
| ( ~ p3(X1)
& ~ p2(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p3(X1)
& p4(X1) )
| ( ~ p4(X1)
& ~ p3(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( p5(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p4(X1)
& p5(X1) )
| ( ~ p5(X1)
& ~ p4(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( p6(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ~ ( ( p5(X1)
& p1(X1) )
| ( ~ p1(X1)
& ~ p5(X1) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( p7(X2)
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ! [X2] :
( ! [X1] :
( ( ~ p2(X1)
& ~ p4(X1)
& ~ p6(X1)
& ~ p8(X1)
& ~ p10(X1)
& ~ p12(X1) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_4,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(esk18_0)
| ~ p2(esk18_0)
| ~ p3(esk18_0)
| ~ p4(esk18_0)
| ~ p5(esk18_0)
| ~ p6(esk18_0) )
& r1(esk17_0,esk18_0)
& r1(esk16_0,esk17_0)
& r1(esk15_0,esk16_0)
& r1(esk14_0,esk15_0)
& r1(esk13_0,esk14_0)
& r1(esk1_0,esk13_0)
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X35)
| ~ r1(X35,X41)
| ~ r1(X41,X42)
| ~ r1(X42,X43)
| ~ r1(X43,X44)
| ~ p1(X44)
| ~ p2(X44) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X35)
| ~ r1(X35,X41)
| ~ r1(X41,X42)
| ~ r1(X42,X43)
| ~ r1(X43,X44)
| p2(X44)
| p1(X44) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X35)
| ~ p3(esk12_4(X11,X20,X28,X35)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X35)
| r1(X35,esk12_4(X11,X20,X28,X35)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| ~ p2(X39)
| ~ p3(X39) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X35)
| ~ r1(X35,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| p3(X39)
| p2(X39) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ p4(esk11_3(X11,X20,X28)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| r1(X28,esk11_3(X11,X20,X28)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| ~ r1(X32,X33)
| ~ p3(X33)
| ~ p4(X33) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X28)
| ~ r1(X28,X29)
| ~ r1(X29,X30)
| ~ r1(X30,X31)
| ~ r1(X31,X32)
| ~ r1(X32,X33)
| p4(X33)
| p3(X33) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ p5(esk10_2(X11,X20)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| r1(X20,esk10_2(X11,X20)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| ~ r1(X24,X25)
| ~ r1(X25,X26)
| ~ p4(X26)
| ~ p5(X26) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| ~ r1(X24,X25)
| ~ r1(X25,X26)
| p5(X26)
| p4(X26) )
& ( ~ r1(esk1_0,X11)
| ~ p6(esk9_1(X11)) )
& ( ~ r1(esk1_0,X11)
| r1(X11,esk9_1(X11)) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ p5(X18)
| ~ p1(X18) )
& ( ~ r1(esk1_0,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p1(X18)
| p5(X18) )
& ~ p7(esk8_0)
& r1(esk1_0,esk8_0)
& ( p2(esk7_0)
| p4(esk7_0)
| p6(esk7_0)
| p8(esk7_0)
| p10(esk7_0)
| p12(esk7_0) )
& r1(esk6_0,esk7_0)
& r1(esk5_0,esk6_0)
& r1(esk4_0,esk5_0)
& r1(esk3_0,esk4_0)
& r1(esk2_0,esk3_0)
& r1(esk1_0,esk2_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_5,plain,
! [X51] : r1(X51,X51),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( ~ r1(esk1_0,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2)
| ~ r1(X2,X1)
| ~ p1(X1)
| ~ p2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( ~ r1(esk1_0,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2)
| ~ r1(X2,X1)
| p1(X1)
| p5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( ~ r1(esk1_0,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2)
| ~ r1(X2,X1)
| ~ p3(X1)
| ~ p4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ r1(esk1_0,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2)
| ~ r1(X2,X1)
| p3(X1)
| p2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( ~ r1(esk1_0,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2)
| ~ r1(X2,X1)
| ~ p4(X1)
| ~ p5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( ~ r1(X7,X1)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X7,X1)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(X7,X1)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( ~ r1(X7,X1)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk1_0,X8)
| ~ r1(X8,X7)
| ~ r1(X7,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2)
| ~ r1(X2,X1)
| p5(X1)
| p4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(X7,X1)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( ~ r1(X7,X1)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_25,negated_conjecture,
( ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_7]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_28,negated_conjecture,
( ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_29,negated_conjecture,
( ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]) ).
cnf(c_0_30,negated_conjecture,
( ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_7]) ).
cnf(c_0_31,negated_conjecture,
( ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
cnf(c_0_32,negated_conjecture,
( ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_7]) ).
cnf(c_0_35,negated_conjecture,
( ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_36,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_7]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_7]) ).
cnf(c_0_38,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_7]) ).
cnf(c_0_39,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_7]) ).
cnf(c_0_40,negated_conjecture,
( ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_7]) ).
cnf(c_0_41,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_7]) ).
cnf(c_0_42,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_7]) ).
cnf(c_0_43,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_7]) ).
cnf(c_0_44,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_7]) ).
cnf(c_0_45,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_7]) ).
cnf(c_0_46,negated_conjecture,
( ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_7]) ).
cnf(c_0_47,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_7]) ).
cnf(c_0_48,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p2(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_7]) ).
cnf(c_0_49,negated_conjecture,
( ~ r1(esk1_0,X1)
| p5(X1)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_7]) ).
cnf(c_0_50,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p4(X1)
| ~ p3(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_7]) ).
cnf(c_0_51,negated_conjecture,
( ~ r1(esk1_0,X1)
| p2(X1)
| p3(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_7]) ).
cnf(c_0_52,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_7]) ).
cnf(c_0_53,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X1)
| r1(X1,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_54,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p4(X1)
| ~ p5(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_7]) ).
cnf(c_0_55,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p2(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p4(X1)
| p2(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( ~ r1(X2,esk1_0)
| ~ r1(esk1_0,X2)
| ~ r1(esk10_2(X2,esk1_0),X1)
| p4(X1)
| p5(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ p5(esk10_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_59,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ p4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X1)
| p4(esk10_2(X1,esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_7]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_53]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_7]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL668+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n015.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 00:54:52 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.93/1.83 % Version: 3.5.1
% 8.93/1.83 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.93/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.93/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.93/1.83 % Starting new_bool_3 with 300s (1) cores
% 8.93/1.83 % Starting new_bool_1 with 300s (1) cores
% 8.93/1.83 % Starting sh5l with 300s (1) cores
% 8.93/1.83 % new_bool_1 with pid 203012 completed with status 0
% 8.93/1.83 % Result found by new_bool_1
% 8.93/1.83 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.93/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.93/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.93/1.83 % Starting new_bool_3 with 300s (1) cores
% 8.93/1.83 % Starting new_bool_1 with 300s (1) cores
% 8.93/1.83 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.93/1.83 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.93/1.83 % Search class: FGHNF-FFMM32-SFFFFFNN
% 8.93/1.83 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.93/1.83 % Starting SubtermCWHack with 31s (1) cores
% 8.93/1.83 % SubtermCWHack with pid 203017 completed with status 0
% 8.93/1.83 % Result found by SubtermCWHack
% 8.93/1.83 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.93/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.93/1.83 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.93/1.83 % Starting new_bool_3 with 300s (1) cores
% 8.93/1.83 % Starting new_bool_1 with 300s (1) cores
% 8.93/1.83 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.93/1.83 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.93/1.83 % Search class: FGHNF-FFMM32-SFFFFFNN
% 8.93/1.83 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.93/1.83 % Starting SubtermCWHack with 31s (1) cores
% 8.93/1.83 % Preprocessing time : 0.001 s
% 8.93/1.83
% 8.93/1.83 % Proof found!
% 8.93/1.83 % SZS status Theorem
% 8.93/1.83 % SZS output start CNFRefutation
% See solution above
% 8.93/1.83 % Parsed axioms : 2
% 8.93/1.83 % Removed by relevancy pruning/SinE : 0
% 8.93/1.83 % Initial clauses : 35
% 8.93/1.83 % Removed in clause preprocessing : 0
% 8.93/1.83 % Initial clauses in saturation : 35
% 8.93/1.83 % Processed clauses : 6774
% 8.93/1.83 % ...of these trivial : 56
% 8.93/1.83 % ...subsumed : 3756
% 8.93/1.83 % ...remaining for further processing : 2962
% 8.93/1.83 % Other redundant clauses eliminated : 0
% 8.93/1.83 % Clauses deleted for lack of memory : 0
% 8.93/1.83 % Backward-subsumed : 354
% 8.93/1.83 % Backward-rewritten : 4
% 8.93/1.83 % Generated clauses : 20875
% 8.93/1.83 % ...of the previous two non-redundant : 15823
% 8.93/1.83 % ...aggressively subsumed : 0
% 8.93/1.83 % Contextual simplify-reflections : 269
% 8.93/1.83 % Paramodulations : 20867
% 8.93/1.83 % Factorizations : 0
% 8.93/1.83 % NegExts : 0
% 8.93/1.83 % Equation resolutions : 0
% 8.93/1.83 % Disequality decompositions : 0
% 8.93/1.83 % Total rewrite steps : 260
% 8.93/1.83 % ...of those cached : 248
% 8.93/1.83 % Propositional unsat checks : 0
% 8.93/1.83 % Propositional check models : 0
% 8.93/1.83 % Propositional check unsatisfiable : 0
% 8.93/1.83 % Propositional clauses : 0
% 8.93/1.83 % Propositional clauses after purity: 0
% 8.93/1.83 % Propositional unsat core size : 0
% 8.93/1.83 % Propositional preprocessing time : 0.000
% 8.93/1.83 % Propositional encoding time : 0.000
% 8.93/1.83 % Propositional solver time : 0.000
% 8.93/1.83 % Success case prop preproc time : 0.000
% 8.93/1.83 % Success case prop encoding time : 0.000
% 8.93/1.83 % Success case prop solver time : 0.000
% 8.93/1.83 % Current number of processed clauses : 2596
% 8.93/1.83 % Positive orientable unit clauses : 22
% 8.93/1.83 % Positive unorientable unit clauses: 0
% 8.93/1.83 % Negative unit clauses : 5
% 8.93/1.83 % Non-unit-clauses : 2569
% 8.93/1.83 % Current number of unprocessed clauses: 8891
% 8.93/1.83 % ...number of literals in the above : 66752
% 8.93/1.83 % Current number of archived formulas : 0
% 8.93/1.83 % Current number of archived clauses : 366
% 8.93/1.83 % Clause-clause subsumption calls (NU) : 1899388
% 8.93/1.83 % Rec. Clause-clause subsumption calls : 81602
% 8.93/1.83 % Non-unit clause-clause subsumptions : 4287
% 8.93/1.83 % Unit Clause-clause subsumption calls : 6516
% 8.93/1.83 % Rewrite failures with RHS unbound : 0
% 8.93/1.83 % BW rewrite match attempts : 21
% 8.93/1.83 % BW rewrite match successes : 8
% 8.93/1.83 % Condensation attempts : 0
% 8.93/1.83 % Condensation successes : 0
% 8.93/1.83 % Termbank termtop insertions : 451303
% 8.93/1.83 % Search garbage collected termcells : 899
% 8.93/1.83
% 8.93/1.83 % -------------------------------------------------
% 8.93/1.83 % User time : 1.243 s
% 8.93/1.83 % System time : 0.015 s
% 8.93/1.83 % Total time : 1.258 s
% 8.93/1.83 % Maximum resident set size: 3904 pages
% 8.93/1.83
% 8.93/1.83 % -------------------------------------------------
% 8.93/1.83 % User time : 1.248 s
% 8.93/1.83 % System time : 0.016 s
% 8.93/1.83 % Total time : 1.264 s
% 8.93/1.83 % Maximum resident set size: 4864 pages
% 8.93/1.83 % E exiting
%------------------------------------------------------------------------------