%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM544+2 : 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 : n023.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 12:28:27 PM UTC 2025
% Result : Theorem 21.80s 3.14s
% Output : CNFRefutation 21.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 111 ( 10 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 112 ( 40 ~; 36 |; 15 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ~ ( ~ ? [W0] : aElementOf0(W0,xS)
| xS = slcrc0 )
=> ( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,szmzazxdt0(xS)) ) )
=> ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ~ ( ~ ? [W0] : aElementOf0(W0,xS)
| xS = slcrc0 )
=> ( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,szmzazxdt0(xS)) ) )
=> ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(108,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElementOf0(sK11,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK11),szszuzczcdt0(szmzazxdt0(xS)))
| aElementOf0(sK11,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(instantiation,[status(thm)],[108]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/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(sK11,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(sK11,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__1986,plain,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
cnf(99,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__1986]) ).
cnf(l28,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[99]) ).
fof(mSuccLess,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
cnf(54,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf,[status(esa)],[mSuccLess]) ).
cnf(l57,plain,
( ~ aElementOf0(sK11,szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ sdtlseqdt0(sK11,szmzazxdt0(xS))
| sdtlseqdt0(szszuzczcdt0(sK11),szszuzczcdt0(szmzazxdt0(xS))) ),
inference(instantiation,[status(thm)],[54]) ).
fof(mNATSet,plain,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(43,plain,
aSet0(szNzAzT0),
inference(cnf,[status(esa)],[mNATSet]) ).
cnf(l2,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
fof(mDefMax,plain,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& isFinite0(W0)
& W0 != slcrc0 )
=> ! [W1] :
( W1 = szmzazxdt0(W0)
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
cnf(77,plain,
( X0 != szmzazxdt0(X1)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X1 = slcrc0
| sdtlseqdt0(X2,X0) ),
inference(cnf,[status(esa)],[mDefMax]) ).
cnf(l63,plain,
( szmzazxdt0(xS) != szmzazxdt0(xS)
| ~ aElementOf0(sK11,xS)
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| xS = slcrc0
| sdtlseqdt0(sK11,szmzazxdt0(xS)) ),
inference(instantiation,[status(thm)],[77]) ).
cnf(100,plain,
isFinite0(xS),
inference(cnf,[status(esa)],[m__1986]) ).
cnf(l73,plain,
isFinite0(xS),
inference(instantiation,[status(thm)],[100]) ).
cnf(102,plain,
xS != slcrc0,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l72,plain,
xS != slcrc0,
inference(instantiation,[status(thm)],[102]) ).
cnf(l65,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l64,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[99]) ).
cnf(l67,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(103,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l68,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference(instantiation,[status(thm)],[103]) ).
cnf(l58,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(sK11,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| aElementOf0(sK11,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l59,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(l60,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[99]) ).
cnf(l66,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[99]) ).
cnf(109,plain,
aElementOf0(sK11,xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l61,plain,
aElementOf0(sK11,xS),
inference(instantiation,[status(thm)],[109]) ).
cnf(l69,plain,
aElementOf0(sK11,xS),
inference(instantiation,[status(thm)],[109]) ).
cnf(l3,plain,
aElementOf0(sK11,xS),
inference(instantiation,[status(thm)],[109]) ).
cnf(110,plain,
~ aElementOf0(sK11,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l115,plain,
~ aElementOf0(sK11,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(instantiation,[status(thm)],[110]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l28,l57,l2,l63,l73,l72,l65,l64,l67,l68,l58,l59,l60,l66,l61,l69,l3,l115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM544+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 12:46:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 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: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.42 % launching worker at depth: 10
% 21.80/3.14 % SZS status Theorem for theBenchmark
% 21.80/3.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------