%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL647+1.001 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 04:42:33 PM UTC 2026
% Result : CounterSatisfiable 1.27s 1.72s
% Output : Saturation 1.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
& ~ p6(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
& ~ p4(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
& ~ p6(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
& ~ p4(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1) )
& ~ p6(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1) )
& ~ p4(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
& ~ p5(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& ~ p5(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
& ~ p3(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& ~ p3(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& ~ p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p6(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p4(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
& ~ p6(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1) )
& ~ p4(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
& ~ p6(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1) )
& ~ p4(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1) )
& ~ p6(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1) )
& ~ p4(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
& ~ p5(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& ~ p5(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
& ~ p3(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& ~ p3(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& ~ p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_2,negated_conjecture,
! [X41,X42,X43,X44,X45,X46,X47,X48,X49,X51,X53,X55,X57,X59,X61,X63,X65,X67,X69,X71] :
( ( ~ r1(esk1_0,X41)
| ~ r1(X41,X42)
| p6(X42) )
& ( ~ r1(esk1_0,X43)
| ~ r1(X43,X44)
| p5(X44) )
& ( ~ r1(esk1_0,X45)
| ~ r1(X45,X46)
| p4(X46) )
& ( ~ r1(esk1_0,X47)
| ~ r1(X47,X48)
| p2(X48) )
& ( r1(X49,esk2_1(X49))
| p6(X49)
| ~ r1(esk1_0,X49) )
& ( ~ p6(esk2_1(X49))
| p6(X49)
| ~ r1(esk1_0,X49) )
& ( r1(X51,esk3_1(X51))
| p4(X51)
| ~ r1(esk1_0,X51) )
& ( ~ p6(esk3_1(X51))
| p4(X51)
| ~ r1(esk1_0,X51) )
& ( r1(X53,esk4_1(X53))
| p6(X53)
| ~ r1(esk1_0,X53) )
& ( ~ p4(esk4_1(X53))
| p6(X53)
| ~ r1(esk1_0,X53) )
& ( r1(X55,esk5_1(X55))
| p4(X55)
| ~ r1(esk1_0,X55) )
& ( ~ p4(esk5_1(X55))
| p4(X55)
| ~ r1(esk1_0,X55) )
& ( r1(X57,esk6_1(X57))
| p6(X57)
| ~ r1(esk1_0,X57) )
& ( ~ p2(esk6_1(X57))
| p6(X57)
| ~ r1(esk1_0,X57) )
& ( r1(X59,esk7_1(X59))
| p4(X59)
| ~ r1(esk1_0,X59) )
& ( ~ p2(esk7_1(X59))
| p4(X59)
| ~ r1(esk1_0,X59) )
& ( r1(X61,esk8_1(X61))
| p5(X61)
| ~ r1(esk1_0,X61) )
& ( ~ p3(esk8_1(X61))
| p5(X61)
| ~ r1(esk1_0,X61) )
& ( r1(X63,esk9_1(X63))
| p5(X63)
| ~ r1(esk1_0,X63) )
& ( ~ p1(esk9_1(X63))
| p5(X63)
| ~ r1(esk1_0,X63) )
& ( r1(X65,esk10_1(X65))
| p3(X65)
| ~ r1(esk1_0,X65) )
& ( ~ p3(esk10_1(X65))
| p3(X65)
| ~ r1(esk1_0,X65) )
& ( r1(X67,esk11_1(X67))
| p3(X67)
| ~ r1(esk1_0,X67) )
& ( ~ p1(esk11_1(X67))
| p3(X67)
| ~ r1(esk1_0,X67) )
& ( r1(X69,esk12_1(X69))
| p1(X69)
| ~ r1(esk1_0,X69) )
& ( ~ p3(esk12_1(X69))
| p1(X69)
| ~ r1(esk1_0,X69) )
& ( r1(X71,esk13_1(X71))
| p1(X71)
| ~ r1(esk1_0,X71) )
& ( ~ p1(esk13_1(X71))
| p1(X71)
| ~ r1(esk1_0,X71) )
& r1(esk1_0,esk14_0)
& ~ p5(esk14_0)
& r1(esk1_0,esk15_0)
& ~ p3(esk15_0)
& r1(esk1_0,esk16_0)
& ~ p2(esk16_0)
& r1(esk1_0,esk17_0)
& ~ p1(esk17_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_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( p6(X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_4,negated_conjecture,
r1(esk1_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_6,negated_conjecture,
r1(esk1_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_7,negated_conjecture,
r1(esk1_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_8,negated_conjecture,
( p2(X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_9,negated_conjecture,
( p4(X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_10,negated_conjecture,
( p5(X2)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_11,negated_conjecture,
( p6(X1)
| ~ p6(esk2_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_12,negated_conjecture,
( p6(X1)
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[final] ).
cnf(c_0_13,negated_conjecture,
( r1(X1,esk2_1(X1))
| p6(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_14,negated_conjecture,
( p4(X1)
| ~ p6(esk3_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_15,negated_conjecture,
( r1(X1,esk3_1(X1))
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_16,negated_conjecture,
( p6(X1)
| ~ r1(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]),
[final] ).
cnf(c_0_17,negated_conjecture,
( p6(X1)
| ~ r1(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_6]),
[final] ).
cnf(c_0_18,negated_conjecture,
( p6(X1)
| ~ r1(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_7]),
[final] ).
cnf(c_0_19,negated_conjecture,
( p6(X1)
| ~ p2(esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_20,negated_conjecture,
( p2(X1)
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_4]),
[final] ).
cnf(c_0_21,negated_conjecture,
( p4(X1)
| ~ p2(esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_22,negated_conjecture,
( p2(X1)
| ~ r1(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]),
[final] ).
cnf(c_0_23,negated_conjecture,
( p2(X1)
| ~ r1(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_6]),
[final] ).
cnf(c_0_24,negated_conjecture,
( p2(X1)
| ~ r1(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]),
[final] ).
cnf(c_0_25,negated_conjecture,
( p6(X1)
| ~ p4(esk4_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_26,negated_conjecture,
( p4(X1)
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]),
[final] ).
cnf(c_0_27,negated_conjecture,
( p4(X1)
| ~ p4(esk5_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_28,negated_conjecture,
( p4(X1)
| ~ r1(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_5]),
[final] ).
cnf(c_0_29,negated_conjecture,
( p4(X1)
| ~ r1(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_6]),
[final] ).
cnf(c_0_30,negated_conjecture,
( p4(X1)
| ~ r1(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]),
[final] ).
cnf(c_0_31,negated_conjecture,
( r1(X1,esk13_1(X1))
| p1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_32,negated_conjecture,
( r1(X1,esk12_1(X1))
| p1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_33,negated_conjecture,
( r1(X1,esk11_1(X1))
| p3(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_34,negated_conjecture,
( r1(X1,esk10_1(X1))
| p3(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_35,negated_conjecture,
( r1(X1,esk9_1(X1))
| p5(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_36,negated_conjecture,
( r1(X1,esk8_1(X1))
| p5(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_37,negated_conjecture,
~ p2(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_38,negated_conjecture,
~ p5(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_39,negated_conjecture,
( p5(X1)
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]),
[final] ).
cnf(c_0_40,negated_conjecture,
( p5(X1)
| ~ r1(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_5]),
[final] ).
cnf(c_0_41,negated_conjecture,
( p5(X1)
| ~ r1(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_6]),
[final] ).
cnf(c_0_42,negated_conjecture,
( p5(X1)
| ~ r1(esk17_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]),
[final] ).
cnf(c_0_43,negated_conjecture,
( p6(X1)
| ~ r1(esk14_0,esk2_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[final] ).
cnf(c_0_44,negated_conjecture,
( p6(esk14_0)
| r1(esk14_0,esk2_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_4]) ).
cnf(c_0_45,negated_conjecture,
( p4(X1)
| ~ r1(esk14_0,esk3_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_12]),
[final] ).
cnf(c_0_46,negated_conjecture,
( p4(esk14_0)
| r1(esk14_0,esk3_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_4]) ).
cnf(c_0_47,negated_conjecture,
( p6(X1)
| ~ r1(esk15_0,esk2_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]),
[final] ).
cnf(c_0_48,negated_conjecture,
( p6(esk15_0)
| r1(esk15_0,esk2_1(esk15_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_5]) ).
cnf(c_0_49,negated_conjecture,
( p4(X1)
| ~ r1(esk15_0,esk3_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]),
[final] ).
cnf(c_0_50,negated_conjecture,
( p4(esk15_0)
| r1(esk15_0,esk3_1(esk15_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_5]) ).
cnf(c_0_51,negated_conjecture,
( p6(X1)
| ~ r1(esk16_0,esk2_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]),
[final] ).
cnf(c_0_52,negated_conjecture,
( p6(esk16_0)
| r1(esk16_0,esk2_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( p4(X1)
| ~ r1(esk16_0,esk3_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]),
[final] ).
cnf(c_0_54,negated_conjecture,
( p4(esk16_0)
| r1(esk16_0,esk3_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
cnf(c_0_55,negated_conjecture,
( p4(X1)
| ~ r1(esk17_0,esk3_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]),
[final] ).
cnf(c_0_56,negated_conjecture,
( p4(esk17_0)
| r1(esk17_0,esk3_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_57,negated_conjecture,
( p6(X1)
| ~ r1(esk17_0,esk2_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_18]),
[final] ).
cnf(c_0_58,negated_conjecture,
( p6(esk17_0)
| r1(esk17_0,esk2_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_59,negated_conjecture,
~ p1(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_60,negated_conjecture,
~ p3(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_61,negated_conjecture,
( p6(X1)
| ~ r1(esk14_0,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[final] ).
cnf(c_0_62,negated_conjecture,
( p4(X1)
| ~ r1(esk14_0,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]),
[final] ).
cnf(c_0_63,negated_conjecture,
( p6(X1)
| ~ r1(esk15_0,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_22]),
[final] ).
cnf(c_0_64,negated_conjecture,
( p4(X1)
| ~ r1(esk15_0,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[final] ).
cnf(c_0_65,negated_conjecture,
( p6(X1)
| ~ r1(esk16_0,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]),
[final] ).
cnf(c_0_66,negated_conjecture,
( p4(X1)
| ~ r1(esk16_0,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_23]),
[final] ).
cnf(c_0_67,negated_conjecture,
( p6(X1)
| ~ r1(esk17_0,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]),
[final] ).
cnf(c_0_68,negated_conjecture,
( p4(X1)
| ~ r1(esk17_0,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_24]),
[final] ).
cnf(c_0_69,negated_conjecture,
( p6(X1)
| ~ r1(esk14_0,esk4_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]),
[final] ).
cnf(c_0_70,negated_conjecture,
( p4(X1)
| ~ r1(esk14_0,esk5_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]),
[final] ).
cnf(c_0_71,negated_conjecture,
( p6(X1)
| ~ r1(esk15_0,esk4_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]),
[final] ).
cnf(c_0_72,negated_conjecture,
( p4(X1)
| ~ r1(esk15_0,esk5_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]),
[final] ).
cnf(c_0_73,negated_conjecture,
( p6(X1)
| ~ r1(esk16_0,esk4_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_29]),
[final] ).
cnf(c_0_74,negated_conjecture,
( p4(X1)
| ~ r1(esk16_0,esk5_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_29]),
[final] ).
cnf(c_0_75,negated_conjecture,
( p6(X1)
| ~ r1(esk17_0,esk4_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]),
[final] ).
cnf(c_0_76,negated_conjecture,
( p4(X1)
| ~ r1(esk17_0,esk5_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_30]),
[final] ).
cnf(c_0_77,negated_conjecture,
( p1(esk14_0)
| r1(esk14_0,esk13_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_4]),
[final] ).
cnf(c_0_78,negated_conjecture,
( p1(esk15_0)
| r1(esk15_0,esk13_1(esk15_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_5]),
[final] ).
cnf(c_0_79,negated_conjecture,
( p1(esk16_0)
| r1(esk16_0,esk13_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_6]),
[final] ).
cnf(c_0_80,negated_conjecture,
( p1(esk14_0)
| r1(esk14_0,esk12_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_4]),
[final] ).
cnf(c_0_81,negated_conjecture,
( p1(esk15_0)
| r1(esk15_0,esk12_1(esk15_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_5]),
[final] ).
cnf(c_0_82,negated_conjecture,
( p1(esk16_0)
| r1(esk16_0,esk12_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_6]),
[final] ).
cnf(c_0_83,negated_conjecture,
( p3(esk14_0)
| r1(esk14_0,esk11_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_4]),
[final] ).
cnf(c_0_84,negated_conjecture,
( p3(esk16_0)
| r1(esk16_0,esk11_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_6]),
[final] ).
cnf(c_0_85,negated_conjecture,
( p3(esk17_0)
| r1(esk17_0,esk11_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_7]),
[final] ).
cnf(c_0_86,negated_conjecture,
( p3(esk14_0)
| r1(esk14_0,esk10_1(esk14_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_4]),
[final] ).
cnf(c_0_87,negated_conjecture,
( p3(esk16_0)
| r1(esk16_0,esk10_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_6]),
[final] ).
cnf(c_0_88,negated_conjecture,
( p3(esk17_0)
| r1(esk17_0,esk10_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_7]),
[final] ).
cnf(c_0_89,negated_conjecture,
( p5(esk15_0)
| r1(esk15_0,esk9_1(esk15_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_5]),
[final] ).
cnf(c_0_90,negated_conjecture,
( p5(esk16_0)
| r1(esk16_0,esk9_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_6]),
[final] ).
cnf(c_0_91,negated_conjecture,
( p5(esk17_0)
| r1(esk17_0,esk9_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_7]),
[final] ).
cnf(c_0_92,negated_conjecture,
( p5(esk15_0)
| r1(esk15_0,esk8_1(esk15_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_5]),
[final] ).
cnf(c_0_93,negated_conjecture,
( p5(esk16_0)
| r1(esk16_0,esk8_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_6]),
[final] ).
cnf(c_0_94,negated_conjecture,
( p5(esk17_0)
| r1(esk17_0,esk8_1(esk17_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_7]),
[final] ).
cnf(c_0_95,negated_conjecture,
( r1(X1,esk7_1(X1))
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_96,negated_conjecture,
( r1(X1,esk5_1(X1))
| p4(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_97,negated_conjecture,
( r1(X1,esk6_1(X1))
| p6(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_98,negated_conjecture,
( r1(X1,esk4_1(X1))
| p6(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_99,negated_conjecture,
( p1(X1)
| ~ p1(esk13_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_100,negated_conjecture,
( p1(X1)
| ~ p3(esk12_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_101,negated_conjecture,
( p3(X1)
| ~ p1(esk11_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_102,negated_conjecture,
( p3(X1)
| ~ p3(esk10_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_103,negated_conjecture,
( p5(X1)
| ~ p1(esk9_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_104,negated_conjecture,
( p5(X1)
| ~ p3(esk8_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_105,negated_conjecture,
~ r1(esk14_0,esk16_0),
inference(spm,[status(thm)],[c_0_37,c_0_20]),
[final] ).
cnf(c_0_106,negated_conjecture,
~ r1(esk15_0,esk16_0),
inference(spm,[status(thm)],[c_0_37,c_0_22]),
[final] ).
cnf(c_0_107,negated_conjecture,
~ r1(esk16_0,esk16_0),
inference(spm,[status(thm)],[c_0_37,c_0_23]),
[final] ).
cnf(c_0_108,negated_conjecture,
~ r1(esk17_0,esk16_0),
inference(spm,[status(thm)],[c_0_37,c_0_24]),
[final] ).
cnf(c_0_109,negated_conjecture,
~ r1(esk14_0,esk14_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_110,negated_conjecture,
~ r1(esk15_0,esk14_0),
inference(spm,[status(thm)],[c_0_38,c_0_40]),
[final] ).
cnf(c_0_111,negated_conjecture,
~ r1(esk16_0,esk14_0),
inference(spm,[status(thm)],[c_0_38,c_0_41]),
[final] ).
cnf(c_0_112,negated_conjecture,
~ r1(esk17_0,esk14_0),
inference(spm,[status(thm)],[c_0_38,c_0_42]),
[final] ).
cnf(c_0_113,negated_conjecture,
p6(esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_4])]),
[final] ).
cnf(c_0_114,negated_conjecture,
p4(esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_4])]),
[final] ).
cnf(c_0_115,negated_conjecture,
p6(esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_5])]),
[final] ).
cnf(c_0_116,negated_conjecture,
p4(esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_5])]),
[final] ).
cnf(c_0_117,negated_conjecture,
p6(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_6])]),
[final] ).
cnf(c_0_118,negated_conjecture,
p4(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_6])]),
[final] ).
cnf(c_0_119,negated_conjecture,
p4(esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_7])]),
[final] ).
cnf(c_0_120,negated_conjecture,
p6(esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_7])]),
[final] ).
cnf(c_0_121,negated_conjecture,
r1(esk17_0,esk13_1(esk17_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_7]),c_0_59]),
[final] ).
cnf(c_0_122,negated_conjecture,
r1(esk17_0,esk12_1(esk17_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_7]),c_0_59]),
[final] ).
cnf(c_0_123,negated_conjecture,
r1(esk15_0,esk11_1(esk15_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_5]),c_0_60]),
[final] ).
cnf(c_0_124,negated_conjecture,
r1(esk15_0,esk10_1(esk15_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_5]),c_0_60]),
[final] ).
cnf(c_0_125,negated_conjecture,
r1(esk14_0,esk9_1(esk14_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_4]),c_0_38]),
[final] ).
cnf(c_0_126,negated_conjecture,
r1(esk14_0,esk8_1(esk14_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_4]),c_0_38]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL647+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % 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 22:48:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start Saturation
% See solution above
% 1.27/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------