%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM597+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Fri Jul 25 12:28:36 PM UTC 2025
% Result : Theorem 173.54s 22.11s
% Output : CNFRefutation 173.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 53 ( 7 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 46 ( 15 ~; 12 |; 10 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(363,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(instantiation,[status(thm)],[363]) ).
fof(m__4758,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [W1] :
( aElementOf0(W1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(W0,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).
cnf(356,plain,
( ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X0,xT) ),
inference(cnf,[status(esa)],[m__4758]) ).
cnf(l1,plain,
( ~ aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(szDzizrdt0(xd),xT) ),
inference(instantiation,[status(thm)],[356]) ).
fof(m__4868,plain,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) )
=> ~ ? [W0] : aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4868) ).
cnf(360,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ),
inference(cnf,[status(esa)],[m__4868]) ).
cnf(l12,plain,
( ~ aElementOf0(sK51,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,sK51) = szDzizrdt0(xd) ),
inference(instantiation,[status(thm)],[360]) ).
cnf(362,plain,
aElementOf0(sK51,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf,[status(esa)],[m__4868]) ).
cnf(l45,plain,
aElementOf0(sK51,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[362]) ).
fof(mImgRng,plain,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aElementOf0(W1,szDzozmdt0(W0))
=> aElementOf0(sdtlpdtrp0(W0,W1),sdtlcdtrc0(W0,szDzozmdt0(W0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
cnf(137,plain,
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| aElementOf0(sdtlpdtrp0(X1,X0),sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
inference(cnf,[status(esa)],[mImgRng]) ).
cnf(l29,plain,
( ~ aElementOf0(sK51,szDzozmdt0(xd))
| ~ aFunction0(xd)
| aElementOf0(sdtlpdtrp0(xd,sK51),sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(instantiation,[status(thm)],[137]) ).
cnf(359,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szDzozmdt0(xd)) ),
inference(cnf,[status(esa)],[m__4868]) ).
cnf(l103,plain,
( ~ aElementOf0(sK51,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(sK51,szDzozmdt0(xd)) ),
inference(instantiation,[status(thm)],[359]) ).
fof(m__4730,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& ( ( ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& sbrdtbr0(W1) = xk )
| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )
=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
cnf(346,plain,
aFunction0(xd),
inference(cnf,[status(esa)],[m__4730]) ).
cnf(l230,plain,
aFunction0(xd),
inference(instantiation,[status(thm)],[346]) ).
cnf(l322,plain,
aElementOf0(sK51,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[362]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l45,l29,l103,l230,l322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM597+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 13:06:19 EDT 2025
% 0.19/0.33 % CPUTime :
% 0.19/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 5
% 0.19/0.35 % launching worker at depth: 3
% 0.19/0.35 % launching worker at depth: 2
% 0.19/0.35 % launching worker at depth: 6
% 0.19/0.35 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 7
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.36 % launching worker at depth: 10
% 3.06/0.73 % launching worker at depth: 11
% 52.72/6.95 % launching worker at depth: 12
% 173.54/22.11 % SZS status Theorem for theBenchmark
% 173.54/22.11 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------