%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM564+3 : TPTP v9.2.1. Released v4.0.0.
% 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 : n031.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 04:57:51 PM UTC 2026
% Result : Theorem 2.64s 2.37s
% Output : CNFRefutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 23 ( 8 ~; 4 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0) )
=> ( ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,negated_conjecture,
~ ( ( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0) )
=> ( ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
| aSubsetOf0(slcrc0,xS)
| aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_2,negated_conjecture,
! [X360] :
( aSet0(slcrc0)
& ~ aElementOf0(X360,slcrc0)
& aElementOf0(esk31_0,slcrc0)
& ~ aElementOf0(esk31_0,xS)
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
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(esk31_0,slcrc0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
~ aElementOf0(X1,slcrc0),
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 : NUM564+3 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.16/0.32 % Computer : n031.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 00:47:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.64/2.37 % Version : CSE_E---1.7
% 2.64/2.37 % Problem : theBenchmark.p
% 2.64/2.37 % SZS status Theorem for theBenchmark.p
% 2.64/2.37 % SZS output start CNFRefutation
% See solution above
% 2.64/2.38 % Total time : 1.769s
%------------------------------------------------------------------------------