%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM605+3 : 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 : n015.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 04:58:00 PM UTC 2026
% Result : Theorem 2.81s 2.45s
% Output : CNFRefutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 50 ( 25 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 54 ( 22 ~; 13 |; 15 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
~ ( ~ ? [X1] : aElementOf0(X1,xQ)
& xQ = slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(m__5078,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(m__3462,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(c_0_5,negated_conjecture,
~ ~ ( ~ ? [X1] : aElementOf0(X1,xQ)
& xQ = slcrc0 ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_6,plain,
! [X316] :
( ( sbrdtbr0(X316) != sz00
| X316 = slcrc0
| ~ aSet0(X316) )
& ( X316 != slcrc0
| sbrdtbr0(X316) = sz00
| ~ aSet0(X316) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
fof(c_0_7,plain,
! [X249,X250,X251] :
( ( aSet0(X249)
| X249 != slcrc0 )
& ( ~ aElementOf0(X250,X249)
| X249 != slcrc0 )
& ( ~ aSet0(X251)
| aElementOf0(esk1_1(X251),X251)
| X251 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])]) ).
fof(c_0_8,hypothesis,
! [X485] :
( aSet0(xQ)
& ( ~ aElementOf0(X485,xQ)
| aElementOf0(X485,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])]) ).
fof(c_0_9,negated_conjecture,
! [X486] :
( ~ aElementOf0(X486,xQ)
& xQ = slcrc0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_10,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
sbrdtbr0(xQ) = xK,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
xQ = slcrc0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( sbrdtbr0(X1) = sz00
| X1 != slcrc0 ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
sbrdtbr0(slcrc0) = xK,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
xK != sz00,
inference(split_conjunct,[status(thm)],[m__3462]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM605+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n015.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:50:01 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 2.81/2.45 % Version : CSE_E---1.7
% 2.81/2.45 % Problem : theBenchmark.p
% 2.81/2.45 % SZS status Theorem for theBenchmark.p
% 2.81/2.45 % SZS output start CNFRefutation
% See solution above
% 2.81/2.46 % Total time : 1.825s
%------------------------------------------------------------------------------