%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM582+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 : n018.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 12:28:34 PM UTC 2025
% Result : Theorem 16.97s 2.52s
% Output : CNFRefutation 16.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 40 ( 4 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 30 ( 11 ~; 8 |; 6 &)
% ( 0 <=>; 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(177,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(instantiation,[status(thm)],[177]) ).
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(167,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l2,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(instantiation,[status(thm)],[167]) ).
fof(m__3754,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
cnf(172,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(cnf,[status(esa)],[m__3754]) ).
cnf(l5,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ sdtlseqdt0(sz00,xi)
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)) ),
inference(instantiation,[status(thm)],[172]) ).
fof(m__3989,plain,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).
cnf(174,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__3989]) ).
cnf(l36,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[174]) ).
fof(mZeroLess,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
cnf(52,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf,[status(esa)],[mZeroLess]) ).
cnf(l13,plain,
( ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(sz00,xi) ),
inference(instantiation,[status(thm)],[52]) ).
fof(mZeroNum,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
cnf(45,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf,[status(esa)],[mZeroNum]) ).
cnf(l15,plain,
aElementOf0(sz00,szNzAzT0),
inference(instantiation,[status(thm)],[45]) ).
cnf(l48,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[174]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l5,l36,l13,l15,l48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM582+1 : TPTP v9.0.0. Released v4.0.0.
% 0.05/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Jul 21 13:00:04 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % launching worker at depth: 2
% 0.15/0.31 % launching worker at depth: 1
% 0.15/0.31 % launching worker at depth: 3
% 0.15/0.31 % launching worker at depth: 8
% 0.15/0.31 % launching worker at depth: 4
% 0.15/0.31 % launching worker at depth: 5
% 0.15/0.31 % launching worker at depth: 6
% 0.15/0.31 % launching worker at depth: 7
% 0.15/0.31 % launching worker at depth: 9
% 0.15/0.32 % launching worker at depth: 10
% 0.15/0.42 % launching worker at depth: 11
% 16.97/2.52 % SZS status Theorem for theBenchmark
% 16.97/2.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------