%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL181+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : 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 04:39:36 PM UTC 2026
% Result : Theorem 0.22s 1.57s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 48 ( 23 ~; 15 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel4,conjecture,
( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel4) ).
fof(i_0_1,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel4])]) ).
fof(i_0_2,negated_conjecture,
( ( ~ q
| ~ p )
& ( ~ p
| ~ p )
& ( ~ q
| ~ q )
& ( ~ p
| ~ q )
& ( p
| q
| q
| p ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])]) ).
cnf(i_0_3,negated_conjecture,
( p
| q
| q
| p ),
inference(split_conjunct,[status(thm)],[i_0_2]) ).
cnf(i_0_4,negated_conjecture,
( ~ q
| ~ q ),
inference(split_conjunct,[status(thm)],[i_0_2]) ).
cnf(i_0_5,negated_conjecture,
( ~ p
| ~ p ),
inference(split_conjunct,[status(thm)],[i_0_2]) ).
cnf(i_0_6,negated_conjecture,
( ~ q
| ~ p ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,negated_conjecture,
( ~ p
| ~ q ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,negated_conjecture,
( p
| q ),
inference(cn,[status(thm)],[i_0_3]),
[final] ).
cnf(i_0_9,negated_conjecture,
~ q,
inference(cn,[status(thm)],[i_0_4]),
[final] ).
cnf(i_0_10,negated_conjecture,
~ p,
inference(cn,[status(thm)],[i_0_5]),
[final] ).
cnf(i_0_11,plain,
$false,
inference(scs_inference,[],[i_0_10,i_0_9,i_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL181+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.10 % 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
% 0.10/0.29 % Computer : n022.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 4 22:06:06 EDT 2026
% 0.10/0.29 % CPUTime :
% 0.10/0.30 % start to proof: theBenchmark
% 0.22/1.57 % Version : CSE_E---1.7
% 0.22/1.57 % Problem : theBenchmark.p
% 0.22/1.57 % SZS status Theorem for theBenchmark.p
% 0.22/1.57 % SZS output start CNFRefutation
% See solution above
% 0.22/1.59 % Total time : 1.272s
%------------------------------------------------------------------------------