%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL670+1.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : 300s
% DateTime : Tue May 5 04:44:42 PM UTC 2026
% Result : Theorem 2.22s 1.88s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 385 ( 0 equ)
% Maximal formula atoms : 134 ( 7 avg)
% Number of connectives : 651 ( 321 ~; 292 |; 38 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 5 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 : 155 ( 0 sgn 84 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
| ~ p2(X2) ) )
& p2(X1)
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ p2(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_3,negated_conjecture,
! [X39,X40,X41,X44,X45,X47,X49,X50,X51,X55,X56,X57,X58,X62,X65,X67,X68,X69] :
( ( ~ r1(esk1_0,X39)
| ~ p4(X39) )
& ( r1(X41,esk2_2(X40,X41))
| ~ r1(X40,X41)
| ~ r1(esk1_0,X40) )
& ( r1(esk2_2(X40,X41),esk3_2(X40,X41))
| ~ r1(X40,X41)
| ~ r1(esk1_0,X40) )
& ( ~ p3(esk3_2(X40,X41))
| ~ r1(X40,X41)
| ~ r1(esk1_0,X40) )
& ( p2(esk2_2(X40,X41))
| ~ r1(X40,X41)
| ~ r1(esk1_0,X40) )
& ( r1(X47,esk5_3(X40,X44,X47))
| ~ r1(X44,X47)
| r1(X45,esk4_3(X40,X44,X45))
| ~ r1(X44,X45)
| ~ p2(X44)
| ~ r1(X40,X44)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk5_3(X40,X44,X47),X49)
| ~ p2(X49)
| ~ r1(X44,X47)
| r1(X45,esk4_3(X40,X44,X45))
| ~ r1(X44,X45)
| ~ p2(X44)
| ~ r1(X40,X44)
| ~ r1(esk1_0,X40) )
& ( r1(X47,esk5_3(X40,X44,X47))
| ~ r1(X44,X47)
| ~ p3(esk4_3(X40,X44,X45))
| ~ r1(X44,X45)
| ~ p2(X44)
| ~ r1(X40,X44)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk5_3(X40,X44,X47),X49)
| ~ p2(X49)
| ~ r1(X44,X47)
| ~ p3(esk4_3(X40,X44,X45))
| ~ r1(X44,X45)
| ~ p2(X44)
| ~ r1(X40,X44)
| ~ r1(esk1_0,X40) )
& ( r1(X47,esk5_3(X40,X44,X47))
| ~ r1(X44,X47)
| p2(X45)
| ~ r1(X44,X45)
| ~ p2(X44)
| ~ r1(X40,X44)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk5_3(X40,X44,X47),X49)
| ~ p2(X49)
| ~ r1(X44,X47)
| p2(X45)
| ~ r1(X44,X45)
| ~ p2(X44)
| ~ r1(X40,X44)
| ~ r1(esk1_0,X40) )
& ( r1(X40,esk8_1(X40))
| r1(X51,esk6_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk8_1(X40),X55)
| ~ p2(X55)
| r1(X51,esk6_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( r1(X40,esk8_1(X40))
| r1(esk6_3(X40,X50,X51),esk7_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk8_1(X40),X55)
| ~ p2(X55)
| r1(esk6_3(X40,X50,X51),esk7_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( r1(X40,esk8_1(X40))
| ~ p3(esk7_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk8_1(X40),X55)
| ~ p2(X55)
| ~ p3(esk7_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( r1(X40,esk8_1(X40))
| p2(esk6_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( ~ r1(esk8_1(X40),X55)
| ~ p2(X55)
| p2(esk6_3(X40,X50,X51))
| ~ r1(X50,X51)
| ~ r1(X40,X50)
| ~ r1(esk1_0,X40) )
& ( r1(X56,esk9_1(X56))
| ~ r1(X56,X57)
| ~ r1(X57,X58)
| p1(X58)
| ~ r1(esk1_0,X56) )
& ( ~ p1(esk9_1(X56))
| ~ r1(X56,X57)
| ~ r1(X57,X58)
| p1(X58)
| ~ r1(esk1_0,X56) )
& r1(esk1_0,esk10_0)
& r1(esk10_0,esk11_0)
& ( ~ r1(esk11_0,X62)
| p1(X62) )
& r1(esk10_0,esk12_0)
& ~ p1(esk12_0)
& r1(esk1_0,esk13_0)
& ( r1(X65,esk14_1(X65))
| ~ r1(esk13_0,X65) )
& ( ~ p2(esk14_1(X65))
| ~ r1(esk13_0,X65) )
& ( r1(X67,esk15_1(X67))
| ~ r1(esk1_0,X67)
| ~ r1(X67,X68)
| ~ r1(X68,X69)
| ~ p1(X69) )
& ( p1(esk15_1(X67))
| ~ r1(esk1_0,X67)
| ~ r1(X67,X68)
| ~ r1(X68,X69)
| ~ p1(X69) ) ),
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])])])])]) ).
cnf(c_0_4,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_6,plain,
! [X37] : r1(X37,X37),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_7,negated_conjecture,
( p2(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( r1(X1,esk5_3(X2,X3,X1))
| p2(X4)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( r1(X1,esk2_2(esk13_0,X1))
| ~ r1(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_10,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( p2(esk2_2(esk13_0,X1))
| ~ r1(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(esk13_0,X3,X2))
| ~ p2(X3)
| ~ r1(esk13_0,X3)
| ~ r1(X3,X1)
| ~ r1(X3,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
cnf(c_0_13,negated_conjecture,
r1(esk13_0,esk2_2(esk13_0,esk13_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
p2(esk2_2(esk13_0,esk13_0)),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( r1(X1,esk14_1(X1))
| ~ r1(esk13_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X2))
| ~ r1(esk2_2(esk13_0,esk13_0),X1)
| ~ r1(esk2_2(esk13_0,esk13_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
r1(esk2_2(esk13_0,esk13_0),esk14_1(esk2_2(esk13_0,esk13_0))),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( p2(X5)
| ~ r1(esk5_3(X1,X2,X3),X4)
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ r1(X2,X5)
| ~ p2(X2)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| r1(X1,esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ p2(X3)
| ~ r1(esk5_3(esk13_0,X3,X4),X2)
| ~ r1(esk13_0,X3)
| ~ r1(X3,X1)
| ~ r1(X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( ~ p2(esk14_1(X1))
| ~ r1(esk13_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( r1(X1,esk8_1(X1))
| r1(X2,esk6_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( r1(X1,esk8_1(X1))
| p2(esk6_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X3),X2)
| ~ r1(esk2_2(esk13_0,esk13_0),X1)
| ~ r1(esk2_2(esk13_0,esk13_0),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14])]) ).
cnf(c_0_26,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))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13])]) ).
cnf(c_0_27,negated_conjecture,
( r1(X1,esk6_3(esk13_0,X2,X1))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk13_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_5]) ).
cnf(c_0_28,negated_conjecture,
( p2(esk6_3(esk13_0,X1,X2))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk13_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_5]) ).
cnf(c_0_29,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| ~ p2(X1)
| ~ r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X2),X1)
| ~ r1(esk2_2(esk13_0,esk13_0),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( p2(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))
| ~ p2(X1)
| ~ r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X2),X1)
| ~ r1(esk2_2(esk13_0,esk13_0),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_32,negated_conjecture,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_13]) ).
cnf(c_0_33,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| ~ p2(X1)
| ~ r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_10]) ).
cnf(c_0_34,negated_conjecture,
( p2(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))
| ~ p2(X1)
| ~ r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_10]) ).
cnf(c_0_35,negated_conjecture,
( r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_26]) ).
cnf(c_0_37,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| ~ p2(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))) ),
inference(spm,[status(thm)],[c_0_33,c_0_10]) ).
cnf(c_0_38,negated_conjecture,
( p2(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( r1(X3,esk6_3(X1,X4,X3))
| ~ r1(esk8_1(X1),X2)
| ~ p2(X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( p2(esk6_3(X1,X3,X4))
| ~ r1(esk8_1(X1),X2)
| ~ p2(X2)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_42,negated_conjecture,
( r1(X1,esk6_3(esk13_0,X2,X1))
| ~ p2(X3)
| ~ r1(esk8_1(esk13_0),X3)
| ~ r1(esk13_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_5]) ).
cnf(c_0_43,negated_conjecture,
r1(esk13_0,esk8_1(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_40]),c_0_13])]) ).
cnf(c_0_44,negated_conjecture,
( p2(esk6_3(esk13_0,X1,X2))
| ~ p2(X3)
| ~ r1(esk8_1(esk13_0),X3)
| ~ r1(esk13_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_5]) ).
cnf(c_0_45,negated_conjecture,
( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ p2(X2)
| ~ r1(esk2_2(esk13_0,esk13_0),X1)
| ~ r1(esk8_1(esk13_0),X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_13]) ).
cnf(c_0_46,negated_conjecture,
r1(esk8_1(esk13_0),esk2_2(esk13_0,esk8_1(esk13_0))),
inference(spm,[status(thm)],[c_0_9,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
p2(esk2_2(esk13_0,esk8_1(esk13_0))),
inference(spm,[status(thm)],[c_0_11,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ p2(X2)
| ~ r1(esk2_2(esk13_0,esk13_0),X1)
| ~ r1(esk8_1(esk13_0),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_13]) ).
cnf(c_0_49,negated_conjecture,
( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))),
inference(spm,[status(thm)],[c_0_49,c_0_26]) ).
cnf(c_0_52,negated_conjecture,
p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))),
inference(spm,[status(thm)],[c_0_50,c_0_26]) ).
cnf(c_0_53,negated_conjecture,
p2(esk14_1(esk2_2(esk13_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_51]),c_0_52])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_53]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL670+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n011.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:54:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.22/1.88 % Version : CSE_E---1.7
% 2.22/1.88 % Problem : theBenchmark.p
% 2.22/1.88 % SZS status Theorem for theBenchmark.p
% 2.22/1.88 % SZS output start CNFRefutation
% See solution above
% 2.22/1.89 % Total time : 1.374s
%------------------------------------------------------------------------------