%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM617+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Fri Jul 25 12:28:40 PM UTC 2025
% Result : Theorem 33.11s 4.50s
% Output : CNFRefutation 33.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 25 unt; 0 def)
% Number of atoms : 72 ( 5 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 54 ( 21 ~; 18 |; 9 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xx,szNzAzT0),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(224,plain,
~ aElementOf0(xx,szNzAzT0),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xx,szNzAzT0),
inference(instantiation,[status(thm)],[224]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l1,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xx,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(xx,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__3623,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
cnf(166,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l12,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(instantiation,[status(thm)],[166]) ).
fof(mDomSet,plain,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
cnf(116,plain,
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf,[status(esa)],[mDomSet]) ).
cnf(l19,plain,
( ~ aFunction0(xN)
| aSet0(szDzozmdt0(xN)) ),
inference(instantiation,[status(thm)],[116]) ).
cnf(165,plain,
aFunction0(xN),
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l20,plain,
aFunction0(xN),
inference(instantiation,[status(thm)],[165]) ).
fof(m__3435,plain,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
cnf(152,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l3,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[152]) ).
cnf(l2,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xx,xO)
| ~ aSubsetOf0(xO,xS)
| aElementOf0(xx,xS) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l8,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l15,plain,
( ~ aSet0(xO)
| ~ aElementOf0(xx,xP)
| ~ aSubsetOf0(xP,xO)
| aElementOf0(xx,xO) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__4891,plain,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
cnf(197,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l21,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
fof(m__5348,plain,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
cnf(223,plain,
aElementOf0(xx,xP),
inference(cnf,[status(esa)],[m__5348]) ).
cnf(l17,plain,
aElementOf0(xx,xP),
inference(instantiation,[status(thm)],[223]) ).
fof(mNATSet,plain,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
cnf(43,plain,
aSet0(szNzAzT0),
inference(cnf,[status(esa)],[mNATSet]) ).
cnf(l14,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
fof(m__5208,plain,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5208) ).
cnf(216,plain,
aSubsetOf0(xP,xO),
inference(cnf,[status(esa)],[m__5208]) ).
cnf(l25,plain,
aSubsetOf0(xP,xO),
inference(instantiation,[status(thm)],[216]) ).
cnf(l9,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[152]) ).
fof(m__4998,plain,
aSubsetOf0(xO,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
cnf(204,plain,
aSubsetOf0(xO,xS),
inference(cnf,[status(esa)],[m__4998]) ).
cnf(l5,plain,
aSubsetOf0(xO,xS),
inference(instantiation,[status(thm)],[204]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l19,l20,l3,l2,l8,l15,l21,l17,l14,l25,l9,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM617+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 13:13:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 2.17/0.61 % launching worker at depth: 11
% 33.11/4.50 % SZS status Theorem for theBenchmark
% 33.11/4.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------