%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM618+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 : n029.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 04:58:03 PM UTC 2026
% Result : Theorem 3.79s 3.41s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 75 ( 25 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 80 ( 25 ~; 25 |; 26 &)
% ( 1 <=>; 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 : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
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/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(m__5365,hypothesis,
( aElementOf0(xx,szNzAzT0)
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& xx = sdtlpdtrp0(xe,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(c_0_5,hypothesis,
! [X487] :
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( aElementOf0(X487,szDzozmdt0(xd))
| ~ aElementOf0(X487,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xd,X487) = szDzizrdt0(xd)
| ~ aElementOf0(X487,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X487,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X487) != szDzizrdt0(xd)
| aElementOf0(X487,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4854])])])]) ).
fof(c_0_6,hypothesis,
! [X479,X480] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk36_2(X479,X480),X480)
| sbrdtbr0(X480) != xk
| ~ aSet0(X480)
| sdtlpdtrp0(xd,X479) = sdtlpdtrp0(sdtlpdtrp0(xC,X479),X480)
| ~ aElementOf0(X479,szNzAzT0) )
& ( ~ aElementOf0(esk36_2(X479,X480),sdtlpdtrp0(xN,szszuzczcdt0(X479)))
| sbrdtbr0(X480) != xk
| ~ aSet0(X480)
| sdtlpdtrp0(xd,X479) = sdtlpdtrp0(sdtlpdtrp0(xC,X479),X480)
| ~ aElementOf0(X479,szNzAzT0) )
& ( ~ aSubsetOf0(X480,sdtlpdtrp0(xN,szszuzczcdt0(X479)))
| sbrdtbr0(X480) != xk
| ~ aSet0(X480)
| sdtlpdtrp0(xd,X479) = sdtlpdtrp0(sdtlpdtrp0(xC,X479),X480)
| ~ aElementOf0(X479,szNzAzT0) )
& ( ~ aElementOf0(X480,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X479)),xk))
| ~ aSet0(X480)
| sdtlpdtrp0(xd,X479) = sdtlpdtrp0(sdtlpdtrp0(xC,X479),X480)
| ~ aElementOf0(X479,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_7,hypothesis,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,esk42_0) = xx ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5365])]) ).
fof(c_0_8,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& xx = sdtlpdtrp0(xe,X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_9,hypothesis,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_12,hypothesis,
aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,negated_conjecture,
! [X510] :
( ~ aElementOf0(X510,szNzAzT0)
| xx != sdtlpdtrp0(xe,X510) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
cnf(c_0_14,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk42_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))),
inference(rw,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| xx != sdtlpdtrp0(xe,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,hypothesis,
sdtlpdtrp0(xe,esk42_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,hypothesis,
aElementOf0(esk42_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM618+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
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:51:44 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 3.79/3.41 % Version : CSE_E---1.7
% 3.79/3.41 % Problem : theBenchmark.p
% 3.79/3.41 % SZS status Theorem for theBenchmark.p
% 3.79/3.41 % SZS output start CNFRefutation
% See solution above
% 3.79/3.42 % Total time : 2.775s
%------------------------------------------------------------------------------