%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL670+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 : n011.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 01:16:04 PM UTC 2026
% Result : Theorem 45.93s 7.20s
% Output : CNFRefutation 45.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 2
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 431 ( 0 equ)
% Maximal formula atoms : 134 ( 9 avg)
% Number of connectives : 779 ( 392 ~; 345 |; 42 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 188 ( 0 sgn 116 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ p4(X2)
| ~ 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] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ p4(X2)
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ! [X1] :
( p1(X1)
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
& ~ ! [X1] :
( ! [X2] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p3(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X2] :
( ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
& p2(X1)
& ~ ! [X2] :
( ~ ( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ p2(X2)
| ! [X1] :
( p3(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ p4(X2)
| ~ r1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X5,X6,X7,X10,X11,X13,X15,X16,X17,X21,X22,X23,X24,X28,X31,X33,X34,X35] :
( ( ~ p1(X35)
| ~ r1(X34,X35)
| ~ r1(X33,X34)
| ~ r1(esk1_0,X33)
| p1(esk15_1(X33)) )
& ( ~ p1(X35)
| ~ r1(X34,X35)
| ~ r1(X33,X34)
| ~ r1(esk1_0,X33)
| r1(X33,esk15_1(X33)) )
& ( ~ r1(esk13_0,X31)
| ~ p2(esk14_1(X31)) )
& ( ~ r1(esk13_0,X31)
| r1(X31,esk14_1(X31)) )
& r1(esk1_0,esk13_0)
& ~ p1(esk12_0)
& r1(esk10_0,esk12_0)
& ( p1(X28)
| ~ r1(esk11_0,X28) )
& r1(esk10_0,esk11_0)
& r1(esk1_0,esk10_0)
& ( ~ r1(esk1_0,X22)
| p1(X24)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ p1(esk9_1(X22)) )
& ( ~ r1(esk1_0,X22)
| p1(X24)
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| r1(X22,esk9_1(X22)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| p2(esk6_3(X6,X16,X17))
| ~ p2(X21)
| ~ r1(esk8_1(X6),X21) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| p2(esk6_3(X6,X16,X17))
| r1(X6,esk8_1(X6)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| ~ p3(esk7_3(X6,X16,X17))
| ~ p2(X21)
| ~ r1(esk8_1(X6),X21) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| ~ p3(esk7_3(X6,X16,X17))
| r1(X6,esk8_1(X6)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| r1(esk6_3(X6,X16,X17),esk7_3(X6,X16,X17))
| ~ p2(X21)
| ~ r1(esk8_1(X6),X21) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| r1(esk6_3(X6,X16,X17),esk7_3(X6,X16,X17))
| r1(X6,esk8_1(X6)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| r1(X17,esk6_3(X6,X16,X17))
| ~ p2(X21)
| ~ r1(esk8_1(X6),X21) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X16)
| ~ r1(X16,X17)
| r1(X17,esk6_3(X6,X16,X17))
| r1(X6,esk8_1(X6)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X10)
| ~ p2(X10)
| ~ r1(X10,X11)
| p2(X11)
| ~ r1(X10,X13)
| ~ p2(X15)
| ~ r1(esk5_3(X6,X10,X13),X15) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X10)
| ~ p2(X10)
| ~ r1(X10,X11)
| p2(X11)
| ~ r1(X10,X13)
| r1(X13,esk5_3(X6,X10,X13)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X10)
| ~ p2(X10)
| ~ r1(X10,X11)
| ~ p3(esk4_3(X6,X10,X11))
| ~ r1(X10,X13)
| ~ p2(X15)
| ~ r1(esk5_3(X6,X10,X13),X15) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X10)
| ~ p2(X10)
| ~ r1(X10,X11)
| ~ p3(esk4_3(X6,X10,X11))
| ~ r1(X10,X13)
| r1(X13,esk5_3(X6,X10,X13)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X10)
| ~ p2(X10)
| ~ r1(X10,X11)
| r1(X11,esk4_3(X6,X10,X11))
| ~ r1(X10,X13)
| ~ p2(X15)
| ~ r1(esk5_3(X6,X10,X13),X15) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X10)
| ~ p2(X10)
| ~ r1(X10,X11)
| r1(X11,esk4_3(X6,X10,X11))
| ~ r1(X10,X13)
| r1(X13,esk5_3(X6,X10,X13)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X7)
| p2(esk2_2(X6,X7)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X7)
| ~ p3(esk3_2(X6,X7)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X7)
| r1(esk2_2(X6,X7),esk3_2(X6,X7)) )
& ( ~ r1(esk1_0,X6)
| ~ r1(X6,X7)
| r1(X7,esk2_2(X6,X7)) )
& ( ~ p4(X5)
| ~ r1(esk1_0,X5) ) ),
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])])])])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ p2(X3)
| ~ r1(X3,X4)
| ~ r1(X3,X1)
| p2(X4)
| r1(X1,esk5_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
r1(esk1_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ r1(X3,X2)
| ~ r1(X3,X1)
| ~ r1(esk13_0,X3)
| ~ p2(X3)
| r1(X2,esk5_3(esk13_0,X3,X2))
| p2(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
( ~ r1(esk1_0,X2)
| ~ r1(X2,X1)
| r1(X1,esk2_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| p2(esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ r1(X3,esk13_0)
| ~ r1(esk1_0,X3)
| ~ r1(esk2_2(X3,esk13_0),X2)
| ~ r1(esk2_2(X3,esk13_0),X1)
| r1(X2,esk5_3(esk13_0,esk2_2(X3,esk13_0),X2))
| p2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( ~ r1(esk13_0,X1)
| r1(X1,esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_12,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X2)
| r1(X2,esk6_3(X1,X3,X2))
| r1(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(X1,esk13_0)
| ~ r1(esk1_0,X1)
| ~ r1(esk2_2(X1,esk13_0),X2)
| r1(X2,esk5_3(esk13_0,esk2_2(X1,esk13_0),X2))
| p2(esk14_1(esk2_2(X1,esk13_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_8]) ).
cnf(c_0_15,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| p2(esk6_3(X1,X2,X3))
| r1(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk13_0,X2)
| r1(esk13_0,esk8_1(esk13_0))
| r1(X1,esk6_3(esk13_0,X2,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ r1(X1,esk13_0)
| ~ r1(esk1_0,X1)
| r1(esk2_2(X1,esk13_0),esk5_3(esk13_0,esk2_2(X1,esk13_0),esk2_2(X1,esk13_0)))
| p2(esk14_1(esk2_2(X1,esk13_0))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk13_0,X1)
| r1(esk13_0,esk8_1(esk13_0))
| p2(esk6_3(esk13_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ r1(X2,esk13_0)
| ~ r1(esk1_0,X2)
| ~ r1(esk2_2(X2,esk13_0),X1)
| r1(esk13_0,esk8_1(esk13_0))
| r1(X1,esk6_3(esk13_0,esk2_2(X2,esk13_0),X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( r1(esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)))
| p2(esk14_1(esk2_2(esk1_0,esk13_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_6])]) ).
cnf(c_0_22,negated_conjecture,
( ~ r1(X1,esk13_0)
| ~ r1(esk1_0,X1)
| ~ r1(esk2_2(X1,esk13_0),X2)
| r1(esk13_0,esk8_1(esk13_0))
| p2(esk6_3(esk13_0,esk2_2(X1,esk13_0),X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_8]) ).
cnf(c_0_23,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ p2(X2)
| ~ r1(X2,X5)
| ~ r1(X2,X3)
| ~ p2(X4)
| ~ r1(esk5_3(X1,X2,X3),X4)
| p2(X5) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,negated_conjecture,
( r1(esk13_0,esk8_1(esk13_0))
| r1(esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0))))
| p2(esk14_1(esk2_2(esk1_0,esk13_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]),c_0_6])]) ).
cnf(c_0_25,negated_conjecture,
( r1(esk13_0,esk8_1(esk13_0))
| p2(esk14_1(esk2_2(esk1_0,esk13_0)))
| p2(esk6_3(esk13_0,esk2_2(esk1_0,esk13_0),esk5_3(esk13_0,esk2_2(esk1_0,esk13_0),esk2_2(esk1_0,esk13_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_21]),c_0_15]),c_0_6])]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1(esk13_0,X1)
| ~ p2(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,negated_conjecture,
( ~ r1(esk2_2(esk1_0,esk13_0),X1)
| ~ r1(esk13_0,esk2_2(esk1_0,esk13_0))
| ~ p2(esk2_2(esk1_0,esk13_0))
| r1(esk13_0,esk8_1(esk13_0))
| p2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_6]),c_0_15])]),c_0_25]),c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( ~ r1(esk2_2(esk1_0,esk13_0),X1)
| ~ r1(esk13_0,esk2_2(esk1_0,esk13_0))
| r1(esk13_0,esk8_1(esk13_0))
| p2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_9]),c_0_15]),c_0_6])]) ).
cnf(c_0_29,negated_conjecture,
( ~ r1(esk2_2(esk1_0,esk13_0),X1)
| r1(esk13_0,esk8_1(esk13_0))
| p2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_8]),c_0_15]),c_0_6])]) ).
cnf(c_0_30,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X4)
| ~ r1(X4,X3)
| ~ p2(X2)
| ~ r1(esk8_1(X1),X2)
| r1(X3,esk6_3(X1,X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
( ~ r1(esk13_0,esk2_2(esk1_0,esk13_0))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_11]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X3)
| ~ r1(X3,X4)
| ~ p2(X2)
| ~ r1(esk8_1(X1),X2)
| p2(esk6_3(X1,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,negated_conjecture,
( ~ r1(X2,X3)
| ~ r1(X3,X1)
| ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X2)
| ~ r1(X4,esk8_1(X2))
| r1(X1,esk6_3(X2,X3,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_8]),c_0_9]) ).
cnf(c_0_34,negated_conjecture,
r1(esk13_0,esk8_1(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_8]),c_0_15]),c_0_6])]) ).
cnf(c_0_35,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X4)
| ~ r1(esk1_0,X1)
| ~ r1(X4,esk8_1(X1))
| p2(esk6_3(X1,X2,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_8]),c_0_9]) ).
cnf(c_0_36,negated_conjecture,
( ~ r1(X2,X1)
| ~ r1(esk13_0,X2)
| r1(X1,esk6_3(esk13_0,X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_6])]) ).
cnf(c_0_37,negated_conjecture,
( ~ r1(X1,X2)
| ~ r1(esk13_0,X1)
| p2(esk6_3(esk13_0,X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_34]),c_0_6])]) ).
cnf(c_0_38,negated_conjecture,
( ~ r1(X4,X2)
| ~ r1(X2,X5)
| ~ r1(X2,X1)
| ~ r1(esk13_0,X3)
| ~ r1(esk1_0,X4)
| ~ r1(X3,esk5_3(X4,X2,X5))
| ~ p2(X2)
| p2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_36]),c_0_37]) ).
cnf(c_0_39,negated_conjecture,
( r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))
| p2(esk14_1(esk2_2(esk13_0,esk13_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_6]),c_0_15])]) ).
cnf(c_0_40,negated_conjecture,
( ~ r1(esk2_2(esk13_0,esk13_0),X1)
| ~ r1(esk13_0,esk2_2(esk13_0,esk13_0))
| ~ p2(esk2_2(esk13_0,esk13_0))
| p2(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_6]),c_0_15])]),c_0_26]) ).
cnf(c_0_41,negated_conjecture,
( ~ r1(esk2_2(esk13_0,esk13_0),X1)
| ~ r1(esk13_0,esk2_2(esk13_0,esk13_0))
| p2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_9]),c_0_6]),c_0_15])]) ).
cnf(c_0_42,negated_conjecture,
~ r1(esk13_0,esk2_2(esk13_0,esk13_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_11]),c_0_26]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_8]),c_0_6]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL670+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
% 0.15/0.43 % Computer : n011.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 00:52:25 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.50 Running first-order theorem proving
% 0.15/0.50 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
% 45.93/7.20 % Version: 3.5.1
% 45.93/7.20 % Preprocessing class: FSMSSMSSSSSNFFN.
% 45.93/7.20 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 45.93/7.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 45.93/7.20 % Starting new_bool_3 with 300s (1) cores
% 45.93/7.20 % Starting new_bool_1 with 300s (1) cores
% 45.93/7.20 % Starting sh5l with 300s (1) cores
% 45.93/7.20 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 609500 completed with status 0
% 45.93/7.20 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 45.93/7.20 % Preprocessing class: FSMSSMSSSSSNFFN.
% 45.93/7.20 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 45.93/7.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 45.93/7.20 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 45.93/7.20 % No SInE strategy applied
% 45.93/7.20 % Search class: FGHNF-FFMS32-SFFFFFNN
% 45.93/7.20 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 45.93/7.20 % Starting SubtermCWHack with 136s (1) cores
% 45.93/7.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 45.93/7.20 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 45.93/7.20 % Starting G-E--_107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S071I with 136s (1) cores
% 45.93/7.20 % Starting new_bool_3 with 136s (1) cores
% 45.93/7.20 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 609505 completed with status 0
% 45.93/7.20 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 45.93/7.20 % Preprocessing class: FSMSSMSSSSSNFFN.
% 45.93/7.20 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 45.93/7.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 45.93/7.20 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 45.93/7.20 % No SInE strategy applied
% 45.93/7.20 % Search class: FGHNF-FFMS32-SFFFFFNN
% 45.93/7.20 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 45.93/7.20 % Starting SubtermCWHack with 136s (1) cores
% 45.93/7.20 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 45.93/7.20 % Preprocessing time : 0.002 s
% 45.93/7.20 % Presaturation interreduction done
% 45.93/7.20
% 45.93/7.20 % Proof found!
% 45.93/7.20 % SZS status Theorem
% 45.93/7.20 % SZS output start CNFRefutation
% See solution above
% 45.93/7.20 % Parsed axioms : 2
% 45.93/7.20 % Removed by relevancy pruning/SinE : 0
% 45.93/7.20 % Initial clauses : 32
% 45.93/7.20 % Removed in clause preprocessing : 0
% 45.93/7.20 % Initial clauses in saturation : 32
% 45.93/7.20 % Processed clauses : 10704
% 45.93/7.20 % ...of these trivial : 5
% 45.93/7.20 % ...subsumed : 2870
% 45.93/7.20 % ...remaining for further processing : 7829
% 45.93/7.20 % Other redundant clauses eliminated : 0
% 45.93/7.20 % Clauses deleted for lack of memory : 0
% 45.93/7.20 % Backward-subsumed : 1038
% 45.93/7.20 % Backward-rewritten : 724
% 45.93/7.20 % Generated clauses : 36787
% 45.93/7.20 % ...of the previous two non-redundant : 35165
% 45.93/7.20 % ...aggressively subsumed : 0
% 45.93/7.20 % Contextual simplify-reflections : 598
% 45.93/7.20 % Paramodulations : 36787
% 45.93/7.20 % Factorizations : 0
% 45.93/7.20 % NegExts : 0
% 45.93/7.20 % Equation resolutions : 0
% 45.93/7.20 % Disequality decompositions : 0
% 45.93/7.20 % Total rewrite steps : 14245
% 45.93/7.20 % ...of those cached : 14199
% 45.93/7.20 % Propositional unsat checks : 1
% 45.93/7.20 % Propositional check models : 1
% 45.93/7.20 % Propositional check unsatisfiable : 0
% 45.93/7.20 % Propositional clauses : 0
% 45.93/7.20 % Propositional clauses after purity: 0
% 45.93/7.20 % Propositional unsat core size : 0
% 45.93/7.20 % Propositional preprocessing time : 0.000
% 45.93/7.20 % Propositional encoding time : 0.038
% 45.93/7.20 % Propositional solver time : 0.009
% 45.93/7.20 % Success case prop preproc time : 0.000
% 45.93/7.20 % Success case prop encoding time : 0.000
% 45.93/7.20 % Success case prop solver time : 0.000
% 45.93/7.20 % Current number of processed clauses : 6035
% 45.93/7.20 % Positive orientable unit clauses : 18
% 45.93/7.20 % Positive unorientable unit clauses: 0
% 45.93/7.20 % Negative unit clauses : 7
% 45.93/7.20 % Non-unit-clauses : 6010
% 45.93/7.20 % Current number of unprocessed clauses: 23480
% 45.93/7.20 % ...number of literals in the above : 189909
% 45.93/7.20 % Current number of archived formulas : 0
% 45.93/7.20 % Current number of archived clauses : 1794
% 45.93/7.20 % Clause-clause subsumption calls (NU) : 3678702
% 45.93/7.20 % Rec. Clause-clause subsumption calls : 355840
% 45.93/7.20 % Non-unit clause-clause subsumptions : 4143
% 45.93/7.20 % Unit Clause-clause subsumption calls : 9622
% 45.93/7.20 % Rewrite failures with RHS unbound : 0
% 45.93/7.20 % BW rewrite match attempts : 26
% 45.93/7.20 % BW rewrite match successes : 13
% 45.93/7.20 % Condensation attempts : 0
% 45.93/7.20 % Condensation successes : 0
% 45.93/7.20 % Termbank termtop insertions : 1763078
% 45.93/7.20 % Search garbage collected termcells : 602
% 45.93/7.20
% 45.93/7.20 % -------------------------------------------------
% 45.93/7.20 % User time : 6.479 s
% 45.93/7.20 % System time : 0.076 s
% 45.93/7.20 % Total time : 6.555 s
% 45.93/7.20 % Maximum resident set size: 3640 pages
% 45.93/7.20
% 45.93/7.20 % -------------------------------------------------
% 45.93/7.20 % User time : 32.000 s
% 45.93/7.20 % System time : 0.475 s
% 45.93/7.20 % Total time : 32.475 s
% 45.93/7.20 % Maximum resident set size: 4864 pages
% 45.93/7.20 % E exiting
%------------------------------------------------------------------------------