%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET061+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 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 : n012.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 05:07:04 PM UTC 2026
% Result : Theorem 0.12s 1.52s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(null_class_defn,axiom,
! [X1] : ~ member(X1,null_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',null_class_defn) ).
fof(existence_of_null_class,conjecture,
? [X1] :
! [X5] : ~ member(X5,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(c_0_2,plain,
! [X1] : ~ member(X1,null_class),
inference(fof_simplification,[status(thm)],[null_class_defn]) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
! [X5] : ~ member(X5,X1),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[existence_of_null_class])]) ).
fof(c_0_4,plain,
! [X134] : ~ member(X134,null_class),
inference(variable_rename,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X195] : member(esk8_1(X195),X195),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
~ member(X1,null_class),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
member(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_6,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SET061+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 5 02:07:31 EDT 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.12/1.52 % Version : CSE_E---1.7
% 0.12/1.52 % Problem : theBenchmark.p
% 0.12/1.52 % SZS status Theorem for theBenchmark.p
% 0.12/1.52 % SZS output start CNFRefutation
% See solution above
% 0.12/1.52 % Total time : 1.261s
%------------------------------------------------------------------------------