%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM594+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 : n022.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 04:57:57 PM UTC 2026
% Result : Theorem 2.85s 2.41s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 50 ( 19 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 56 ( 19 ~; 19 |; 15 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4781,hypothesis,
( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = xx )
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
( aElementOf0(esk38_0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,esk38_0) = xx
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__4781])]) ).
fof(c_0_5,hypothesis,
! [X458,X459] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk36_2(X458,X459),X459)
| sbrdtbr0(X459) != xk
| ~ aSet0(X459)
| sdtlpdtrp0(xd,X458) = sdtlpdtrp0(sdtlpdtrp0(xC,X458),X459)
| ~ aElementOf0(X458,szNzAzT0) )
& ( ~ aElementOf0(esk36_2(X458,X459),sdtlpdtrp0(xN,szszuzczcdt0(X458)))
| sbrdtbr0(X459) != xk
| ~ aSet0(X459)
| sdtlpdtrp0(xd,X458) = sdtlpdtrp0(sdtlpdtrp0(xC,X458),X459)
| ~ aElementOf0(X458,szNzAzT0) )
& ( ~ aSubsetOf0(X459,sdtlpdtrp0(xN,szszuzczcdt0(X458)))
| sbrdtbr0(X459) != xk
| ~ aSet0(X459)
| sdtlpdtrp0(xd,X458) = sdtlpdtrp0(sdtlpdtrp0(xC,X458),X459)
| ~ aElementOf0(X458,szNzAzT0) )
& ( ~ aElementOf0(X459,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X458)),xk))
| ~ aSet0(X459)
| sdtlpdtrp0(xd,X458) = sdtlpdtrp0(sdtlpdtrp0(xC,X458),X459)
| ~ aElementOf0(X458,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X466] :
( ~ aElementOf0(X466,szNzAzT0)
| sdtlpdtrp0(xd,X466) != xx ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_7,hypothesis,
aElementOf0(esk38_0,szDzozmdt0(xd)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xd,X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
sdtlpdtrp0(xd,esk38_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,hypothesis,
aElementOf0(esk38_0,szNzAzT0),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM594+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 : n022.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 00:52:06 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 2.85/2.41 % Version : CSE_E---1.7
% 2.85/2.41 % Problem : theBenchmark.p
% 2.85/2.41 % SZS status Theorem for theBenchmark.p
% 2.85/2.41 % SZS output start CNFRefutation
% See solution above
% 2.85/2.42 % Total time : 1.776s
%------------------------------------------------------------------------------