%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN373+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 : n014.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 05:36:57 PM UTC 2026
% Result : Theorem 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 2 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 44 ( 17 ~; 17 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 8 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2124,conjecture,
( ? [X1] :
( big_p(X1)
=> big_q(X1) )
<=> ( ! [X1] : big_p(X1)
=> ? [X1] : big_q(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2124) ).
fof(i_0_1,negated_conjecture,
~ ( ? [X1] :
( big_p(X1)
=> big_q(X1) )
<=> ( ! [X1] : big_p(X1)
=> ? [X1] : big_q(X1) ) ),
inference(assume_negation,[status(cth)],[x2124]) ).
fof(i_0_2,negated_conjecture,
! [X5,X6,X7] :
( ( big_p(X6)
| big_p(X5) )
& ( ~ big_q(X7)
| big_p(X5) )
& ( big_p(X6)
| ~ big_q(X5) )
& ( ~ big_q(X7)
| ~ big_q(X5) )
& ( ~ big_p(esk1_0)
| big_q(esk1_0)
| ~ big_p(esk2_0)
| big_q(esk3_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1])])])])]) ).
cnf(i_0_3,negated_conjecture,
( big_q(esk1_0)
| big_q(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_4,negated_conjecture,
( ~ big_q(X1)
| ~ big_q(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_5,negated_conjecture,
( big_p(X1)
| ~ big_q(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_6,negated_conjecture,
( big_p(X2)
| ~ big_q(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_7,negated_conjecture,
( big_p(X1)
| big_p(X2) ),
inference(split_conjunct,[status(thm)],[i_0_2]),
[final] ).
cnf(i_0_8,plain,
( big_q(esk3_0)
| ~ big_p(esk1_0)
| ~ big_p(esk2_0) ),
inference(scs_inference,[],[i_0_4,i_0_3]) ).
cnf(i_0_9,plain,
( big_q(esk3_0)
| ~ big_p(esk2_0) ),
inference(scs_inference,[],[i_0_7,i_0_8]) ).
cnf(i_0_10,plain,
~ big_p(esk2_0),
inference(scs_inference,[],[i_0_9,i_0_4]) ).
cnf(i_0_11,plain,
$false,
inference(scs_inference,[],[i_0_10,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN373+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n014.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 08:31:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Theorem for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------