%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN061+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 : n024.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 05:35:57 PM UTC 2026
% Result : Theorem 1.10s 1.61s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 17 ~; 10 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel31,conjecture,
? [X1] :
( big_i(X1)
& big_j(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31) ).
fof(pel31_3,axiom,
! [X1] :
( ~ big_h(X1)
=> big_j(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_3) ).
fof(pel31_1,axiom,
~ ? [X1] :
( big_f(X1)
& ( big_g(X1)
| big_h(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_1) ).
fof(pel31_2,axiom,
? [X1] :
( big_i(X1)
& big_f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_2) ).
fof(c_0_4,negated_conjecture,
~ ? [X1] :
( big_i(X1)
& big_j(X1) ),
inference(assume_negation,[status(cth)],[pel31]) ).
fof(c_0_5,plain,
! [X1] :
( ~ big_h(X1)
=> big_j(X1) ),
inference(fof_simplification,[status(thm)],[pel31_3]) ).
fof(c_0_6,negated_conjecture,
! [X9] :
( ~ big_i(X9)
| ~ big_j(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_7,plain,
! [X8] :
( big_h(X8)
| big_j(X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_8,plain,
! [X6] :
( ( ~ big_g(X6)
| ~ big_f(X6) )
& ( ~ big_h(X6)
| ~ big_f(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel31_1])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ big_i(X1)
| ~ big_j(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( big_h(X1)
| big_j(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ big_h(X1)
| ~ big_f(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( big_h(X1)
| ~ big_i(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,plain,
( big_i(esk1_0)
& big_f(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel31_2])]) ).
cnf(c_0_14,negated_conjecture,
( ~ big_i(X1)
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
big_i(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
big_f(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN061+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n024.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 03:09:56 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.10/1.61 % Version : CSE_E---1.7
% 1.10/1.61 % Problem : theBenchmark.p
% 1.10/1.61 % SZS status Theorem for theBenchmark.p
% 1.10/1.61 % SZS output start CNFRefutation
% See solution above
% 1.10/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------