%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM576+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 : n019.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 2.40s 0.64s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 20 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(229,plain,
xi != xj,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xi != xj,
inference(instantiation,[status(thm)],[229]) ).
fof(mLessASymm,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
cnf(58,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mLessASymm]) ).
cnf(l1,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xi,xj)
| ~ sdtlseqdt0(xj,xi)
| xi = xj ),
inference(instantiation,[status(thm)],[58]) ).
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(l3,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[228]) ).
fof(mLessTotal,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
cnf(60,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
cnf(l31,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(xj,xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l33,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[228]) ).
cnf(227,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__3856]) ).
cnf(l2,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[227]) ).
cnf(231,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l34,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(instantiation,[status(thm)],[231]) ).
cnf(l5,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| sdtlseqdt0(xi,xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l35,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[227]) ).
cnf(l14,plain,
aElementOf0(xj,szNzAzT0),
inference(instantiation,[status(thm)],[228]) ).
cnf(230,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l17,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(instantiation,[status(thm)],[230]) ).
cnf(l8,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[227]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l31,l33,l2,l34,l5,l35,l14,l17,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM576+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 21 12:58:04 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % launching worker at depth: 7
% 0.11/0.34 % launching worker at depth: 6
% 0.11/0.34 % launching worker at depth: 1
% 0.11/0.34 % launching worker at depth: 4
% 0.11/0.34 % launching worker at depth: 3
% 0.11/0.34 % launching worker at depth: 5
% 0.11/0.34 % launching worker at depth: 2
% 0.11/0.34 % launching worker at depth: 8
% 0.11/0.34 % launching worker at depth: 9
% 0.11/0.36 % launching worker at depth: 10
% 2.40/0.64 % SZS status Theorem for theBenchmark
% 2.40/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------