%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN977+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : n009.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 05:51:11 PM UTC 2026
% Result : Theorem 0.24s 1.62s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 22 ( 9 ~; 8 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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(prove_this,conjecture,
( ( a
<=> b )
| a
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(i_0_1,negated_conjecture,
~ ( ( a
<=> b )
| a
| b ),
inference(assume_negation,[status(cth)],[prove_this]) ).
fof(i_0_2,negated_conjecture,
( ( ~ a
| ~ b )
& ( a
| b )
& ~ a
& ~ b ),
inference(fof_nnf,[status(thm)],[i_0_1]) ).
cnf(i_0_3,negated_conjecture,
( ~ a
| ~ b ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( a
| b ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
~ b,
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
~ a,
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,plain,
$false,
inference(scs_inference,[],[i_0_6,i_0_5,i_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN977+1 : TPTP v9.2.1. Released v3.1.0.
% 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
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:50:41 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.24/1.62 % Version : CSE_E---1.7
% 0.24/1.62 % Problem : theBenchmark.p
% 0.24/1.62 % SZS status Theorem for theBenchmark.p
% 0.24/1.62 % SZS output start CNFRefutation
% See solution above
% 0.24/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------