%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM578+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 12:28:33 PM UTC 2025
% Result : Theorem 16.26s 2.45s
% Output : CNFRefutation 16.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 49 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 14 |; 5 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(177,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)],[177]) ).
fof(m__3856_02,plain,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856_02) ).
cnf(175,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(cnf,[status(esa)],[m__3856_02]) ).
cnf(l12,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(instantiation,[status(thm)],[175]) ).
cnf(l87,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(instantiation,[status(thm)],[177]) ).
fof(m__3856,plain,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
cnf(173,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__3856]) ).
cnf(l124,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[173]) ).
cnf(174,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf,[status(esa)],[m__3856]) ).
cnf(l132,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[174]) ).
cnf(l1,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[173]) ).
cnf(179,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l127,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(instantiation,[status(thm)],[179]) ).
cnf(l31,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[174]) ).
cnf(l6,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(instantiation,[status(thm)],[179]) ).
cnf(178,plain,
xi != xj,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l23,plain,
xi != xj,
inference(instantiation,[status(thm)],[178]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l12,l87,l124,l132,l1,l127,l31,l6,l23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM578+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 : n018.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 12:58:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 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
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.47 % launching worker at depth: 10
% 16.26/2.45 % SZS status Theorem for theBenchmark
% 16.26/2.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------