%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL644+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 : n022.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 04:42:28 PM UTC 2026
% Result : Theorem 0.29s 1.62s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 481 ( 0 equ)
% Maximal formula atoms : 370 ( 68 avg)
% Number of connectives : 786 ( 312 ~; 402 |; 71 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 47 ( 0 sgn 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) )
| p1(X1) )
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,plain,
! [X1] :
( epred1_1(X1)
<=> ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p2(X2) ) )
| p1(X1) )
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ ( p1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) )
& p1(X1) ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ~ ( epred1_1(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p2(X1) ) )
| p1(X2)
| p2(X2)
| ~ ( p1(X2)
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1) )
& p1(X2) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X24,X26,X29,X30,X32,X34] :
( ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X29)
| p2(X29)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X30)
| p1(X30)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X29)
| p2(X29)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X30)
| p1(X30)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| r1(X24,esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X29)
| p2(X29)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X30)
| p1(X30)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| r1(X26,esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( r1(esk1_0,esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X29)
| p2(X29)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ p2(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( ~ r1(esk4_0,X30)
| p1(X30)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& ( p1(esk4_0)
| ~ epred1_1(esk1_0)
| ~ p1(esk3_1(X26))
| ~ p1(X26)
| ~ p1(X26)
| ~ r1(esk1_0,X26)
| p2(X26)
| ~ p2(esk2_1(X24))
| ~ p2(X24)
| ~ r1(esk1_0,X24)
| p1(X24) )
& r1(esk1_0,esk5_0)
& ~ p1(esk5_0)
& ( ~ r1(esk5_0,X32)
| p1(X32) )
& p1(esk5_0)
& r1(esk1_0,esk6_0)
& ~ p1(esk6_0)
& ( ~ r1(esk6_0,X34)
| p1(X34) )
& p1(esk6_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_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
~ p1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
p1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL644+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 : n022.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 22:47:21 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.29/1.62 % Version : CSE_E---1.7
% 0.29/1.62 % Problem : theBenchmark.p
% 0.29/1.62 % SZS status Theorem for theBenchmark.p
% 0.29/1.62 % SZS output start CNFRefutation
% See solution above
% 0.29/1.62 % Total time : 1.271s
%------------------------------------------------------------------------------