%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN391+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 : n028.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 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 45 ( 20 ~; 16 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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(pel9,conjecture,
( ( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) )
=> ~ ( ~ p1
| ~ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel9) ).
fof(c_0_1,negated_conjecture,
~ ( ( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 ) )
=> ~ ( ~ p1
| ~ p2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel9])]) ).
fof(c_0_2,negated_conjecture,
( ( p1
| p2 )
& ( ~ p1
| p2 )
& ( p1
| ~ p2 )
& ( ~ p1
| ~ p2 ) ),
inference(fof_nnf,[status(thm)],[c_0_1]) ).
cnf(c_0_3,negated_conjecture,
( p2
| ~ p1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( p1
| p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ~ p1
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
p2,
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( p1
| ~ p2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
~ p1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_6])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN391+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n028.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 : Tue May 5 08:31:16 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.26/1.62 % Version : CSE_E---1.7
% 0.26/1.62 % Problem : theBenchmark.p
% 0.26/1.62 % SZS status Theorem for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% See solution above
% 0.26/1.62 % Total time : 1.271s
%------------------------------------------------------------------------------