%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL654+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 : n026.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 04:42:56 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 212 ( 0 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 354 ( 179 ~; 156 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 105 ( 0 sgn 54 !; 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)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ ! [X2] :
( ~ r1(X1,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)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ),
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] :
( ~ 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) ) )
& ~ ! [X2] :
( ~ r1(X1,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)
| ! [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,
! [X27,X28,X30,X31,X32,X34,X35,X36,X38,X39,X41,X46] :
( ( r1(X28,esk2_2(X27,X28))
| ~ r1(X27,X28)
| ~ p1(X27)
| ~ r1(esk1_0,X27) )
& ( p1(esk2_2(X27,X28))
| ~ r1(X27,X28)
| ~ p1(X27)
| ~ r1(esk1_0,X27) )
& ( r1(X32,esk3_3(X30,X31,X32))
| ~ r1(X31,X32)
| ~ r1(X31,X34)
| p1(X34)
| ~ r1(X30,X31)
| ~ r1(esk1_0,X30) )
& ( ~ p1(esk3_3(X30,X31,X32))
| ~ r1(X31,X32)
| ~ r1(X31,X34)
| p1(X34)
| ~ r1(X30,X31)
| ~ r1(esk1_0,X30) )
& ( r1(X39,esk5_2(X35,X39))
| ~ r1(X35,X39)
| r1(X36,esk4_2(X35,X36))
| ~ r1(X35,X36)
| ~ r1(esk1_0,X35) )
& ( ~ p1(esk5_2(X35,X39))
| ~ r1(X35,X39)
| r1(X36,esk4_2(X35,X36))
| ~ r1(X35,X36)
| ~ r1(esk1_0,X35) )
& ( r1(X39,esk5_2(X35,X39))
| ~ r1(X35,X39)
| ~ r1(esk4_2(X35,X36),X38)
| p1(X38)
| ~ r1(X35,X36)
| ~ r1(esk1_0,X35) )
& ( ~ p1(esk5_2(X35,X39))
| ~ r1(X35,X39)
| ~ r1(esk4_2(X35,X36),X38)
| p1(X38)
| ~ r1(X35,X36)
| ~ r1(esk1_0,X35) )
& ( ~ r1(esk1_0,X41)
| r1(X41,esk6_1(X41)) )
& r1(esk1_0,esk7_0)
& r1(esk7_0,esk8_0)
& r1(esk8_0,esk9_0)
& ~ p1(esk9_0)
& ( ~ r1(esk7_0,X46)
| p1(X46) ) ),
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,esk3_3(X2,X3,X1))
| p1(X4)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(esk7_0,X3,X2))
| ~ r1(esk7_0,X3)
| ~ r1(X3,X1)
| ~ r1(X3,X2) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,negated_conjecture,
r1(esk7_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( r1(X1,esk5_2(X2,X1))
| r1(X3,esk4_2(X2,X3))
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(esk7_0,esk8_0,X2))
| ~ r1(esk8_0,X1)
| ~ r1(esk8_0,X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
r1(esk8_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
~ p1(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( r1(X1,esk5_2(esk7_0,X1))
| r1(X2,esk4_2(esk7_0,X2))
| ~ r1(esk7_0,X2)
| ~ r1(esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
fof(c_0_13,plain,
! [X25] : r1(X25,X25),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_14,negated_conjecture,
( r1(X1,esk5_2(X2,X1))
| p1(X4)
| ~ r1(X2,X1)
| ~ r1(esk4_2(X2,X3),X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( r1(X1,esk3_3(esk7_0,esk8_0,X1))
| ~ r1(esk8_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( r1(esk8_0,esk4_2(esk7_0,esk8_0))
| r1(X1,esk5_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_17,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(X1,X2)))
| r1(X3,esk5_2(X1,X3))
| ~ r1(esk8_0,esk4_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X1,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( r1(esk7_0,esk5_2(esk7_0,esk7_0))
| r1(esk8_0,esk4_2(esk7_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| r1(esk7_0,esk5_2(esk7_0,esk7_0))
| r1(X1,esk5_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_5]),c_0_7])]) ).
cnf(c_0_21,negated_conjecture,
( p1(X4)
| ~ p1(esk3_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X2,X4)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( r1(X3,esk4_2(X1,X3))
| ~ p1(esk5_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( p1(X1)
| ~ r1(esk7_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( p1(X1)
| r1(esk7_0,esk5_2(esk7_0,esk7_0))
| ~ r1(esk8_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_5]),c_0_7])]),c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( p1(X4)
| ~ p1(esk5_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk4_2(X1,X3),X4)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( r1(X1,esk4_2(X2,X1))
| ~ r1(esk7_0,esk5_2(X2,X3))
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
r1(esk7_0,esk5_2(esk7_0,esk7_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_10]),c_0_11]) ).
cnf(c_0_29,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(X1,X2)))
| ~ p1(esk5_2(X1,X3))
| ~ r1(esk8_0,esk4_2(X1,X2))
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X1,X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_30,negated_conjecture,
( r1(X1,esk4_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_5]),c_0_17])]) ).
cnf(c_0_31,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| ~ p1(esk5_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_5]),c_0_7])]) ).
cnf(c_0_32,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| ~ r1(esk7_0,esk5_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_17])]) ).
cnf(c_0_34,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,esk4_2(esk7_0,esk8_0))
| ~ r1(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_33]),c_0_5]),c_0_7])]) ).
cnf(c_0_35,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_7])]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_35]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL654+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
% 0.15/0.32 % Computer : n026.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
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 22:50:08 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % 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 Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.374s
%------------------------------------------------------------------------------