%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM540+2 : TPTP v9.2.1. Released v4.0.0.
% 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 04:57:45 PM UTC 2026
% Result : Theorem 0.31s 1.64s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 2 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 1 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(slbdtrb0(sz00))
& ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,negated_conjecture,
~ ( ( aSet0(slbdtrb0(sz00))
& ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_2,negated_conjecture,
! [X194] :
( aSet0(slbdtrb0(sz00))
& ~ aElementOf0(X194,slbdtrb0(sz00))
& aElementOf0(esk10_0,slbdtrb0(sz00))
& slbdtrb0(sz00) != slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
aElementOf0(esk10_0,slbdtrb0(sz00)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM540+2 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.15/0.34 % Computer : n028.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 00:43:46 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.31/1.64 % Version : CSE_E---1.7
% 0.31/1.64 % Problem : theBenchmark.p
% 0.31/1.64 % SZS status Theorem for theBenchmark.p
% 0.31/1.64 % SZS output start CNFRefutation
% See solution above
% 0.31/1.64 % Total time : 1.275s
%------------------------------------------------------------------------------