%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM578+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 : n027.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 12:28:33 PM UTC 2025
% Result : Theorem 233.75s 29.68s
% Output : CNFRefutation 233.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 93 ( 19 equ)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 96 ( 24 ~; 16 |; 31 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& aElementOf0(W2,sdtlpdtrp0(xN,W0))
& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W1))
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) )
| szmzizndt0(sdtlpdtrp0(xN,W1)) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ) )
=> ( xi != xj
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xj))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& aElementOf0(W2,sdtlpdtrp0(xN,W0))
& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W1))
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W1))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W1)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W1)),W2) ) )
| szmzizndt0(sdtlpdtrp0(xN,W1)) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ) )
=> ( xi != xj
=> ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xj))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xj))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(243,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( szmzizndt0(sdtlpdtrp0(xN,xj)) != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(instantiation,[status(thm)],[243]) ).
fof(m__3856,plain,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
cnf(228,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf,[status(esa)],[m__3856]) ).
cnf(l2,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[228]) ).
cnf(227,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__3856]) ).
cnf(l1,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[227]) ).
fof(m__3856_02,plain,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856_02) ).
cnf(229,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(cnf,[status(esa)],[m__3856_02]) ).
cnf(l7,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(instantiation,[status(thm)],[229]) ).
cnf(l63,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(instantiation,[status(thm)],[243]) ).
cnf(249,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l68,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(instantiation,[status(thm)],[249]) ).
cnf(l66,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[228]) ).
cnf(l94,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(instantiation,[status(thm)],[249]) ).
cnf(244,plain,
xi != xj,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l12,plain,
xi != xj,
inference(instantiation,[status(thm)],[244]) ).
cnf(l64,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[227]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l7,l63,l68,l66,l94,l12,l64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM578+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 12:58:34 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 4
% 0.14/0.32 % launching worker at depth: 9
% 3.70/0.79 % launching worker at depth: 10
% 233.75/29.68 % SZS status Theorem for theBenchmark
% 233.75/29.68 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------