%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL639+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 : n007.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 04:40:40 PM UTC 2026
% Result : CounterSatisfiable 1.28s 1.72s
% Output : Saturation 1.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(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)
| ~ $true ) )
| ! [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(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p1(X2)
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(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)
| ! [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_2,negated_conjecture,
! [X36,X37,X38,X41,X42,X43,X44,X45,X48,X51,X52,X53,X56,X57,X58,X59,X61,X65] :
( ( r1(X36,esk3_1(X36))
| r1(X38,esk2_3(X36,X37,X38))
| p1(X38)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(esk1_0,X36) )
& ( ~ p1(esk3_1(X36))
| r1(X38,esk2_3(X36,X37,X38))
| p1(X38)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(esk1_0,X36) )
& ( ~ r1(esk3_1(X36),X41)
| p1(X41)
| r1(X38,esk2_3(X36,X37,X38))
| p1(X38)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(esk1_0,X36) )
& ( r1(X36,esk3_1(X36))
| ~ p1(esk2_3(X36,X37,X38))
| p1(X38)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(esk1_0,X36) )
& ( ~ p1(esk3_1(X36))
| ~ p1(esk2_3(X36,X37,X38))
| p1(X38)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(esk1_0,X36) )
& ( ~ r1(esk3_1(X36),X41)
| p1(X41)
| ~ p1(esk2_3(X36,X37,X38))
| p1(X38)
| ~ r1(X37,X38)
| ~ r1(X36,X37)
| ~ r1(esk1_0,X36) )
& ( r1(X42,esk4_1(X42))
| ~ r1(X42,X43)
| ~ r1(X43,X44)
| p1(X44)
| ~ r1(X44,X45)
| ~ p1(X45)
| ~ r1(esk1_0,X42) )
& ( ~ p1(esk4_1(X42))
| ~ r1(X42,X43)
| ~ r1(X43,X44)
| p1(X44)
| ~ r1(X44,X45)
| ~ p1(X45)
| ~ r1(esk1_0,X42) )
& ( r1(esk4_1(X42),esk5_1(X42))
| ~ r1(X42,X43)
| ~ r1(X43,X44)
| p1(X44)
| ~ r1(X44,X45)
| ~ p1(X45)
| ~ r1(esk1_0,X42) )
& ( p1(esk5_1(X42))
| ~ r1(X42,X43)
| ~ r1(X43,X44)
| p1(X44)
| ~ r1(X44,X45)
| ~ p1(X45)
| ~ r1(esk1_0,X42) )
& ( r1(X48,esk7_1(X48))
| r1(X48,esk6_1(X48))
| ~ r1(esk1_0,X48) )
& ( ~ p1(esk7_1(X48))
| r1(X48,esk6_1(X48))
| ~ r1(esk1_0,X48) )
& ( r1(X48,esk7_1(X48))
| p1(esk6_1(X48))
| ~ r1(esk1_0,X48) )
& ( ~ p1(esk7_1(X48))
| p1(esk6_1(X48))
| ~ r1(esk1_0,X48) )
& ( r1(X51,esk9_1(X51))
| r1(X53,esk8_3(X51,X52,X53))
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(esk1_0,X51) )
& ( ~ r1(esk9_1(X51),X56)
| ~ p1(X56)
| r1(X53,esk8_3(X51,X52,X53))
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(esk1_0,X51) )
& ( r1(X51,esk9_1(X51))
| p1(esk8_3(X51,X52,X53))
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(esk1_0,X51) )
& ( ~ r1(esk9_1(X51),X56)
| ~ p1(X56)
| p1(esk8_3(X51,X52,X53))
| ~ r1(X52,X53)
| ~ r1(X51,X52)
| ~ r1(esk1_0,X51) )
& ( r1(X57,esk10_1(X57))
| ~ r1(X57,X58)
| ~ r1(X58,X59)
| p1(X59)
| ~ r1(esk1_0,X57) )
& ( ~ p1(esk10_1(X57))
| ~ r1(X57,X58)
| ~ r1(X58,X59)
| p1(X59)
| ~ r1(esk1_0,X57) )
& ( ~ r1(esk1_0,X61)
| r1(X61,esk11_1(X61)) )
& r1(esk1_0,esk12_0)
& r1(esk12_0,esk13_0)
& ( ~ r1(esk13_0,X65)
| p1(X65) )
& r1(esk12_0,esk14_0)
& ~ p1(esk14_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,
( r1(X1,esk3_1(X1))
| r1(X2,esk2_3(X1,X3,X2))
| p1(X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_4,negated_conjecture,
r1(esk1_0,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_5,negated_conjecture,
( r1(X1,esk7_1(X1))
| r1(X1,esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_6,negated_conjecture,
( r1(esk4_1(X1),esk5_1(X1))
| p1(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ p1(X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_7,negated_conjecture,
( r1(X1,esk4_1(X1))
| p1(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ p1(X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_8,negated_conjecture,
( r1(X1,esk9_1(X1))
| r1(X2,esk8_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_9,negated_conjecture,
( p1(esk5_1(X1))
| p1(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ p1(X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_10,negated_conjecture,
( r1(X1,esk9_1(X1))
| p1(esk8_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_11,negated_conjecture,
( r1(X1,esk10_1(X1))
| p1(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| r1(X1,esk2_3(esk12_0,X2,X1))
| r1(esk12_0,esk3_1(esk12_0))
| ~ r1(esk12_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]),
[final] ).
cnf(c_0_13,negated_conjecture,
( r1(esk12_0,esk7_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]),
[final] ).
cnf(c_0_14,negated_conjecture,
( p1(X1)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk12_0,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]),
[final] ).
cnf(c_0_15,negated_conjecture,
( r1(X3,esk8_3(X1,X4,X3))
| ~ r1(esk9_1(X1),X2)
| ~ p1(X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_16,negated_conjecture,
( r1(X1,esk11_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_17,negated_conjecture,
r1(esk12_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_18,negated_conjecture,
( p1(esk8_3(X1,X3,X4))
| ~ r1(esk9_1(X1),X2)
| ~ p1(X2)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_19,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk4_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk12_0,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]),
[final] ).
cnf(c_0_20,negated_conjecture,
( r1(X1,esk8_3(esk12_0,X2,X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk12_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_4]),
[final] ).
cnf(c_0_21,negated_conjecture,
( p1(esk5_1(esk12_0))
| p1(X1)
| ~ p1(X2)
| ~ r1(esk12_0,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]),
[final] ).
cnf(c_0_22,negated_conjecture,
r1(esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_23,negated_conjecture,
( p1(esk8_3(esk12_0,X1,X2))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk12_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_4]),
[final] ).
cnf(c_0_24,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk10_1(esk12_0))
| ~ r1(esk12_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_4]),
[final] ).
cnf(c_0_25,negated_conjecture,
( p1(X1)
| r1(X1,esk2_3(esk12_0,esk7_1(esk12_0),X1))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk3_1(esk12_0))
| ~ r1(esk7_1(esk12_0),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]),
[final] ).
cnf(c_0_26,negated_conjecture,
( p1(X1)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk7_1(esk12_0),X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]),
[final] ).
cnf(c_0_27,negated_conjecture,
( p1(X2)
| r1(X3,esk2_3(X1,X4,X3))
| p1(X3)
| ~ r1(esk3_1(X1),X2)
| ~ r1(X4,X3)
| ~ r1(X1,X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_28,negated_conjecture,
( r1(X1,esk8_3(X2,X3,X1))
| ~ p1(esk11_1(esk9_1(X2)))
| ~ r1(esk1_0,esk9_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]),
[final] ).
cnf(c_0_29,negated_conjecture,
( p1(X1)
| ~ r1(esk13_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_30,negated_conjecture,
( p1(X1)
| r1(X1,esk2_3(esk12_0,esk11_1(esk12_0),X1))
| r1(esk12_0,esk3_1(esk12_0))
| ~ r1(esk11_1(esk12_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_31,negated_conjecture,
( p1(X1)
| r1(X1,esk2_3(esk12_0,esk14_0,X1))
| r1(esk12_0,esk3_1(esk12_0))
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]),
[final] ).
cnf(c_0_32,negated_conjecture,
( p1(esk8_3(X1,X2,X3))
| ~ p1(esk11_1(esk9_1(X1)))
| ~ r1(esk1_0,esk9_1(X1))
| ~ r1(esk1_0,X1)
| ~ r1(X2,X3)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]),
[final] ).
cnf(c_0_33,negated_conjecture,
( r1(X2,esk2_3(X1,X3,X2))
| p1(X2)
| ~ p1(esk3_1(X1))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_34,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk4_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk7_1(esk12_0),X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]),
[final] ).
cnf(c_0_35,negated_conjecture,
( p1(X1)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk11_1(esk12_0),X1)
| ~ r1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_36,negated_conjecture,
( r1(X1,esk8_3(esk12_0,esk7_1(esk12_0),X1))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk7_1(esk12_0),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]),
[final] ).
cnf(c_0_37,negated_conjecture,
( p1(X2)
| p1(X4)
| ~ r1(esk3_1(X1),X2)
| ~ p1(esk2_3(X1,X3,X4))
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_38,negated_conjecture,
( r1(X1,esk8_3(esk12_0,esk11_1(esk12_0),X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk11_1(esk12_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_39,negated_conjecture,
( r1(X1,esk3_1(X1))
| p1(X3)
| ~ p1(esk2_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_40,negated_conjecture,
( p1(esk5_1(esk12_0))
| p1(X1)
| r1(esk12_0,esk6_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk7_1(esk12_0),X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]),
[final] ).
cnf(c_0_41,negated_conjecture,
( p1(X1)
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk14_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]),
[final] ).
cnf(c_0_42,negated_conjecture,
( r1(X1,esk8_3(esk12_0,esk13_0,X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_22]),
[final] ).
cnf(c_0_43,negated_conjecture,
( r1(X1,esk8_3(esk12_0,esk14_0,X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]),
[final] ).
cnf(c_0_44,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk4_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk11_1(esk12_0),X1)
| ~ r1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_45,negated_conjecture,
( p1(esk8_3(esk12_0,esk7_1(esk12_0),X1))
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk7_1(esk12_0),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_13]),
[final] ).
cnf(c_0_46,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk4_1(esk12_0))
| ~ p1(X2)
| ~ r1(esk14_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]),
[final] ).
cnf(c_0_47,negated_conjecture,
( p1(X3)
| ~ p1(esk4_1(X1))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ p1(X4)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_48,negated_conjecture,
( p1(X3)
| ~ p1(esk3_1(X1))
| ~ p1(esk2_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_49,negated_conjecture,
( p1(esk8_3(esk12_0,esk11_1(esk12_0),X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk11_1(esk12_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_50,negated_conjecture,
( p1(esk5_1(esk12_0))
| p1(X1)
| ~ p1(X2)
| ~ r1(esk11_1(esk12_0),X1)
| ~ r1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_51,negated_conjecture,
( p1(esk5_1(esk12_0))
| p1(X1)
| ~ p1(X2)
| ~ r1(esk14_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_17]),
[final] ).
cnf(c_0_52,negated_conjecture,
( p1(esk8_3(esk12_0,esk13_0,X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]),
[final] ).
cnf(c_0_53,negated_conjecture,
( p1(X3)
| ~ p1(esk10_1(X1))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_54,negated_conjecture,
( p1(esk8_3(esk12_0,esk14_0,X1))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]),
[final] ).
cnf(c_0_55,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk6_1(esk12_0))
| r1(esk12_0,esk10_1(esk12_0))
| ~ r1(esk7_1(esk12_0),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_13]),
[final] ).
cnf(c_0_56,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk10_1(esk12_0))
| ~ r1(esk11_1(esk12_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_4])]),
[final] ).
cnf(c_0_57,negated_conjecture,
( p1(X1)
| r1(esk12_0,esk10_1(esk12_0))
| ~ r1(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_17]),
[final] ).
cnf(c_0_58,negated_conjecture,
( r1(X1,esk7_1(X1))
| p1(esk6_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_59,negated_conjecture,
( r1(X1,esk6_1(X1))
| ~ p1(esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_60,negated_conjecture,
( p1(esk6_1(X1))
| ~ p1(esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_61,negated_conjecture,
~ p1(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_2]),
[final] ).
cnf(c_0_62,negated_conjecture,
( p1(X1)
| r1(esk11_1(esk1_0),esk3_1(esk11_1(esk1_0)))
| r1(X1,esk2_3(esk11_1(esk1_0),X2,X1))
| ~ r1(esk11_1(esk1_0),X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_16]),
[final] ).
cnf(c_0_63,negated_conjecture,
( p1(esk11_1(esk7_1(esk12_0)))
| r1(esk11_1(esk7_1(esk12_0)),esk2_3(esk12_0,esk7_1(esk12_0),esk11_1(esk7_1(esk12_0))))
| r1(esk12_0,esk3_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]),
[final] ).
cnf(c_0_64,negated_conjecture,
( p1(esk11_1(esk7_1(esk12_0)))
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk7_1(esk12_0)),X1)
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]),
[final] ).
cnf(c_0_65,negated_conjecture,
( p1(esk11_1(esk3_1(X1)))
| p1(X2)
| r1(X2,esk2_3(X1,X3,X2))
| ~ r1(esk1_0,esk3_1(X1))
| ~ r1(esk1_0,X1)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]),
[final] ).
cnf(c_0_66,negated_conjecture,
( p1(X1)
| r1(esk4_1(esk11_1(esk1_0)),esk5_1(esk11_1(esk1_0)))
| ~ p1(X2)
| ~ r1(esk11_1(esk1_0),X3)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_16]),
[final] ).
cnf(c_0_67,negated_conjecture,
( p1(X1)
| r1(esk11_1(esk1_0),esk4_1(esk11_1(esk1_0)))
| ~ p1(X2)
| ~ r1(esk11_1(esk1_0),X3)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_16]),
[final] ).
cnf(c_0_68,negated_conjecture,
( r1(X1,esk8_3(X2,X3,X1))
| ~ r1(esk13_0,esk11_1(esk9_1(X2)))
| ~ r1(esk1_0,esk9_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_69,negated_conjecture,
( r1(esk11_1(esk1_0),esk9_1(esk11_1(esk1_0)))
| r1(X1,esk8_3(esk11_1(esk1_0),X2,X1))
| ~ r1(esk11_1(esk1_0),X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_16]),
[final] ).
cnf(c_0_70,negated_conjecture,
( p1(esk11_1(esk11_1(esk12_0)))
| r1(esk11_1(esk11_1(esk12_0)),esk2_3(esk12_0,esk11_1(esk12_0),esk11_1(esk11_1(esk12_0))))
| r1(esk12_0,esk3_1(esk12_0))
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_16]),
[final] ).
cnf(c_0_71,negated_conjecture,
( p1(esk11_1(esk14_0))
| r1(esk11_1(esk14_0),esk2_3(esk12_0,esk14_0,esk11_1(esk14_0)))
| r1(esk12_0,esk3_1(esk12_0))
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_16]),
[final] ).
cnf(c_0_72,negated_conjecture,
( p1(esk8_3(X1,X2,X3))
| ~ r1(esk13_0,esk11_1(esk9_1(X1)))
| ~ r1(esk1_0,esk9_1(X1))
| ~ r1(esk1_0,X1)
| ~ r1(X2,X3)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_29]),
[final] ).
cnf(c_0_73,negated_conjecture,
( p1(esk5_1(esk11_1(esk1_0)))
| p1(X1)
| ~ p1(X2)
| ~ r1(esk11_1(esk1_0),X3)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]),
[final] ).
cnf(c_0_74,negated_conjecture,
( p1(X1)
| r1(X1,esk2_3(X2,X3,X1))
| ~ r1(esk13_0,esk3_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_29]),
[final] ).
cnf(c_0_75,negated_conjecture,
( p1(esk11_1(esk7_1(esk12_0)))
| r1(esk12_0,esk4_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk7_1(esk12_0)),X1)
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]),
[final] ).
cnf(c_0_76,negated_conjecture,
( p1(esk11_1(esk11_1(esk12_0)))
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk11_1(esk12_0)),X1)
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_16]),
[final] ).
cnf(c_0_77,negated_conjecture,
( r1(esk11_1(esk7_1(esk12_0)),esk8_3(esk12_0,esk7_1(esk12_0),esk11_1(esk7_1(esk12_0))))
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_16]),
[final] ).
cnf(c_0_78,negated_conjecture,
( p1(X1)
| p1(X2)
| ~ r1(esk13_0,esk2_3(X3,X4,X2))
| ~ r1(esk3_1(X3),X1)
| ~ r1(esk1_0,X3)
| ~ r1(X4,X2)
| ~ r1(X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_29]),
[final] ).
cnf(c_0_79,negated_conjecture,
( r1(esk11_1(esk11_1(esk12_0)),esk8_3(esk12_0,esk11_1(esk12_0),esk11_1(esk11_1(esk12_0))))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_16]),
[final] ).
cnf(c_0_80,negated_conjecture,
( p1(X1)
| r1(X2,esk3_1(X2))
| ~ r1(esk13_0,esk2_3(X2,X3,X1))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_29]),
[final] ).
cnf(c_0_81,negated_conjecture,
( p1(esk11_1(esk7_1(esk12_0)))
| p1(esk5_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk7_1(esk12_0)),X1)
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_16]),
[final] ).
cnf(c_0_82,negated_conjecture,
( p1(esk11_1(esk14_0))
| r1(esk4_1(esk12_0),esk5_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk14_0),X1)
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_16]),
[final] ).
cnf(c_0_83,negated_conjecture,
( r1(esk11_1(esk13_0),esk8_3(esk12_0,esk13_0,esk11_1(esk13_0)))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk1_0,esk13_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_16]),
[final] ).
cnf(c_0_84,negated_conjecture,
( r1(esk11_1(esk14_0),esk8_3(esk12_0,esk14_0,esk11_1(esk14_0)))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_16]),
[final] ).
cnf(c_0_85,negated_conjecture,
( p1(esk8_3(esk11_1(esk1_0),X1,X2))
| r1(esk11_1(esk1_0),esk9_1(esk11_1(esk1_0)))
| ~ r1(esk11_1(esk1_0),X1)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]),
[final] ).
cnf(c_0_86,negated_conjecture,
( p1(esk11_1(esk11_1(esk12_0)))
| r1(esk12_0,esk4_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk11_1(esk12_0)),X1)
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_16]),
[final] ).
cnf(c_0_87,negated_conjecture,
( p1(esk8_3(esk12_0,esk7_1(esk12_0),esk11_1(esk7_1(esk12_0))))
| r1(esk12_0,esk9_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_16]),
[final] ).
cnf(c_0_88,negated_conjecture,
( p1(esk11_1(esk14_0))
| r1(esk12_0,esk4_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk14_0),X1)
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_16]),
[final] ).
cnf(c_0_89,negated_conjecture,
( p1(X1)
| ~ p1(X2)
| ~ r1(esk13_0,esk4_1(X3))
| ~ r1(esk1_0,X3)
| ~ r1(X1,X2)
| ~ r1(X4,X1)
| ~ r1(X3,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_29]),
[final] ).
cnf(c_0_90,negated_conjecture,
( p1(X1)
| ~ p1(esk3_1(X2))
| ~ r1(esk13_0,esk2_3(X2,X3,X1))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_29]),
[final] ).
cnf(c_0_91,negated_conjecture,
( p1(esk8_3(esk12_0,esk11_1(esk12_0),esk11_1(esk11_1(esk12_0))))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_16]),
[final] ).
cnf(c_0_92,negated_conjecture,
( p1(esk11_1(esk11_1(esk12_0)))
| p1(esk5_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk11_1(esk12_0)),X1)
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_16]),
[final] ).
cnf(c_0_93,negated_conjecture,
( p1(esk11_1(esk14_0))
| p1(esk5_1(esk12_0))
| ~ p1(X1)
| ~ r1(esk11_1(esk14_0),X1)
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_16]),
[final] ).
cnf(c_0_94,negated_conjecture,
( p1(esk8_3(esk12_0,esk13_0,esk11_1(esk13_0)))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk1_0,esk13_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_16]),
[final] ).
cnf(c_0_95,negated_conjecture,
( p1(X1)
| ~ r1(esk13_0,esk10_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_29]),
[final] ).
cnf(c_0_96,negated_conjecture,
( p1(esk8_3(esk12_0,esk14_0,esk11_1(esk14_0)))
| r1(esk12_0,esk9_1(esk12_0))
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_16]),
[final] ).
cnf(c_0_97,negated_conjecture,
( p1(X1)
| r1(esk11_1(esk1_0),esk10_1(esk11_1(esk1_0)))
| ~ r1(esk11_1(esk1_0),X2)
| ~ r1(esk1_0,esk1_0)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]),
[final] ).
cnf(c_0_98,negated_conjecture,
( p1(esk11_1(esk7_1(esk12_0)))
| r1(esk12_0,esk10_1(esk12_0))
| r1(esk12_0,esk6_1(esk12_0))
| ~ r1(esk1_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_16]),
[final] ).
cnf(c_0_99,negated_conjecture,
( p1(esk11_1(esk11_1(esk12_0)))
| r1(esk12_0,esk10_1(esk12_0))
| ~ r1(esk1_0,esk11_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_16]),
[final] ).
cnf(c_0_100,negated_conjecture,
( p1(esk11_1(esk14_0))
| r1(esk12_0,esk10_1(esk12_0))
| ~ r1(esk1_0,esk14_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_16]),
[final] ).
cnf(c_0_101,negated_conjecture,
( r1(esk11_1(esk1_0),esk7_1(esk11_1(esk1_0)))
| r1(esk11_1(esk1_0),esk6_1(esk11_1(esk1_0)))
| ~ r1(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_16]),
[final] ).
cnf(c_0_102,negated_conjecture,
( p1(esk6_1(esk11_1(esk1_0)))
| r1(esk11_1(esk1_0),esk7_1(esk11_1(esk1_0)))
| ~ r1(esk1_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_16]),
[final] ).
cnf(c_0_103,negated_conjecture,
( p1(esk6_1(esk12_0))
| r1(esk12_0,esk7_1(esk12_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_4]),
[final] ).
cnf(c_0_104,negated_conjecture,
( r1(X1,esk6_1(X1))
| ~ r1(esk13_0,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_29]),
[final] ).
cnf(c_0_105,negated_conjecture,
( p1(esk6_1(X1))
| ~ r1(esk13_0,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_29]),
[final] ).
cnf(c_0_106,negated_conjecture,
~ r1(esk13_0,esk14_0),
inference(spm,[status(thm)],[c_0_61,c_0_29]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL639+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
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 22:45:24 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start Saturation
% See solution above
% 1.28/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------