%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM604+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 : n004.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 2.84s 2.47s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 30 ( 9 ~; 7 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(m__5045,hypothesis,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,xS) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).
fof(m__5034,hypothesis,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xe,xi) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).
fof(m__,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_4,hypothesis,
! [X464,X465] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X464),sdtlpdtrp0(xN,X464))
| ~ aElementOf0(X464,szNzAzT0) )
& ( ~ aElementOf0(X465,sdtlpdtrp0(xN,X464))
| sdtlseqdt0(sdtlpdtrp0(xe,X464),X465)
| ~ aElementOf0(X464,szNzAzT0) )
& ( sdtlpdtrp0(xe,X464) = szmzizndt0(sdtlpdtrp0(xN,X464))
| ~ aElementOf0(X464,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])]) ).
fof(c_0_5,hypothesis,
! [X484] :
( ( ~ aElementOf0(X484,sdtlpdtrp0(xN,xi))
| aElementOf0(X484,xS) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5045])])]) ).
cnf(c_0_6,hypothesis,
( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5034]) ).
cnf(c_0_8,hypothesis,
sdtlpdtrp0(xe,xi) = xx,
inference(split_conjunct,[status(thm)],[m__5034]) ).
fof(c_0_9,negated_conjecture,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_10,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xx,sdtlpdtrp0(xN,xi)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM604+3 : 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
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:49:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.84/2.47 % Version : CSE_E---1.7
% 2.84/2.47 % Problem : theBenchmark.p
% 2.84/2.47 % SZS status Theorem for theBenchmark.p
% 2.84/2.47 % SZS output start CNFRefutation
% See solution above
% 2.84/2.48 % Total time : 1.828s
%------------------------------------------------------------------------------