%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL638+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 : n014.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 : Theorem 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 54 ( 7 avg)
% Number of connectives : 305 ( 159 ~; 125 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [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)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
file('/export/starexec/sandbox/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) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [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)
| 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,
! [X25,X26,X28,X29,X31,X32,X33,X36,X37,X38,X39,X41,X44] :
( ( r1(X26,esk2_2(X25,X26))
| ~ r1(X25,X26)
| p1(X25)
| ~ r1(esk1_0,X25) )
& ( ~ p1(esk2_2(X25,X26))
| ~ r1(X25,X26)
| p1(X25)
| ~ r1(esk1_0,X25) )
& ( r1(X29,esk3_2(X28,X29))
| ~ r1(X28,X29)
| ~ p1(X28)
| ~ r1(esk1_0,X28) )
& ( p1(esk3_2(X28,X29))
| ~ r1(X28,X29)
| ~ p1(X28)
| ~ r1(esk1_0,X28) )
& ( r1(X31,esk5_1(X31))
| r1(X33,esk4_3(X31,X32,X33))
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(esk1_0,X31) )
& ( ~ r1(esk5_1(X31),X36)
| ~ p1(X36)
| r1(X33,esk4_3(X31,X32,X33))
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(esk1_0,X31) )
& ( r1(X31,esk5_1(X31))
| p1(esk4_3(X31,X32,X33))
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(esk1_0,X31) )
& ( ~ r1(esk5_1(X31),X36)
| ~ p1(X36)
| p1(esk4_3(X31,X32,X33))
| ~ r1(X32,X33)
| ~ r1(X31,X32)
| ~ r1(esk1_0,X31) )
& ( r1(X37,esk6_1(X37))
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| p1(X39)
| ~ r1(esk1_0,X37) )
& ( ~ p1(esk6_1(X37))
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| p1(X39)
| ~ r1(esk1_0,X37) )
& ( ~ r1(esk1_0,X41)
| r1(X41,esk7_1(X41)) )
& r1(esk1_0,esk8_0)
& ~ p1(esk8_0)
& ( ~ r1(esk8_0,X44)
| p1(X44) ) ),
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,esk6_1(X1))
| p1(X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
r1(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( p1(X1)
| r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( r1(X1,esk7_1(X1))
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| p1(X2)
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
~ p1(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( p1(X1)
| r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk7_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4])]) ).
cnf(c_0_10,negated_conjecture,
( r1(X1,esk2_2(esk8_0,X1))
| ~ r1(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( p1(esk2_2(esk8_0,esk7_1(esk8_0)))
| r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk8_0,esk7_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p1(X1)
| ~ p1(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( p1(esk2_2(esk8_0,esk7_1(esk8_0)))
| r1(esk8_0,esk6_1(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_6]),c_0_4])]) ).
cnf(c_0_14,negated_conjecture,
( p1(X3)
| ~ p1(esk6_1(X1))
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( r1(esk8_0,esk6_1(esk8_0))
| ~ r1(esk8_0,esk7_1(esk8_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_4])]),c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,esk6_1(X2))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
r1(esk8_0,esk6_1(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_6]),c_0_4])]) ).
cnf(c_0_19,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_4])]) ).
cnf(c_0_20,negated_conjecture,
( p1(X1)
| ~ r1(esk7_1(esk8_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_6]),c_0_4])]) ).
cnf(c_0_21,negated_conjecture,
( p1(esk2_2(esk8_0,esk7_1(esk8_0)))
| ~ r1(esk8_0,esk7_1(esk8_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_22,negated_conjecture,
~ r1(esk8_0,esk7_1(esk8_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_4])]),c_0_8]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_6]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL638+1.001 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n014.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 22:45:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Theorem for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.375s
%------------------------------------------------------------------------------