%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN392+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n013.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 05:37:00 PM UTC 2026
% Result : Theorem 0.25s 1.63s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 48 ( 6 avg)
% Number of connectives : 115 ( 42 ~; 56 |; 13 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 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(pel14,conjecture,
( ( p1
<=> p2 )
<=> ( ( p2
| ~ p1 )
& ( ~ p2
| p1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel14) ).
fof(c_0_1,negated_conjecture,
~ ( ( p1
<=> p2 )
<=> ( ( p2
| ~ p1 )
& ( ~ p2
| p1 ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel14])]) ).
fof(c_0_2,negated_conjecture,
( ( p2
| ~ p2
| ~ p1
| ~ p2 )
& ( ~ p1
| ~ p2
| ~ p1
| ~ p2 )
& ( p2
| p1
| ~ p1
| ~ p2 )
& ( ~ p1
| p1
| ~ p1
| ~ p2 )
& ( p2
| ~ p2
| p1
| p2 )
& ( ~ p1
| ~ p2
| p1
| p2 )
& ( p2
| p1
| p1
| p2 )
& ( ~ p1
| p1
| p1
| p2 )
& ( p2
| ~ p1
| ~ p1
| p2 )
& ( ~ p2
| p1
| ~ p1
| p2 )
& ( p2
| ~ p1
| ~ p2
| p1 )
& ( ~ p2
| p1
| ~ p2
| p1 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).
cnf(c_0_3,negated_conjecture,
( p2
| p2
| ~ p1
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( p2
| p1
| p1
| p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ p1
| ~ p2
| ~ p1
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( p2
| ~ p1 ),
inference(cn,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( p1
| p2 ),
inference(cn,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( p1
| p1
| ~ p2
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( ~ p1
| ~ p2 ),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
p2,
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( p1
| ~ p2 ),
inference(cn,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ p1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN392+1 : TPTP v9.2.1. Released v2.0.0.
% 0.11/0.13 % 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
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 5 08:30:56 EDT 2026
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % start to proof: theBenchmark
% 0.25/1.63 % Version : CSE_E---1.7
% 0.25/1.63 % Problem : theBenchmark.p
% 0.25/1.63 % SZS status Theorem for theBenchmark.p
% 0.25/1.63 % SZS output start CNFRefutation
% See solution above
% 0.25/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------