%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM541+2 : 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 : n022.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 12:28:26 PM UTC 2025
% Result : Theorem 20.47s 2.94s
% Output : CNFRefutation 20.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 20 unt; 0 def)
% Number of atoms : 170 ( 18 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 172 ( 66 ~; 74 |; 16 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| xm = xn )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(94,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP3 ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sP3 ),
inference(instantiation,[status(thm)],[94]) ).
fof(mLessASymm,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/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(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| szszuzczcdt0(xn) = szszuzczcdt0(xm) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(102,plain,
( xm = xn
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sP3 ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l18,plain,
( xm = xn
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sP3 ),
inference(instantiation,[status(thm)],[102]) ).
fof(mSuccNum,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
cnf(46,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
cnf(l4,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(l3,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[46]) ).
fof(m__1936,plain,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1936) ).
cnf(92,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf,[status(esa)],[m__1936]) ).
cnf(l92,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
fof(mSuccLess,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox2/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(l119,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm)) ),
inference(instantiation,[status(thm)],[54]) ).
fof(mLessTotal,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox2/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(l144,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(xn,xm)
| sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(instantiation,[status(thm)],[60]) ).
fof(mLessTrans,plain,
! [W0,W1,W2] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0)
& aElementOf0(W2,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
cnf(59,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf,[status(esa)],[mLessTrans]) ).
cnf(l49,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xm,szszuzczcdt0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(xm,xn) ),
inference(instantiation,[status(thm)],[59]) ).
cnf(l151,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(l68,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(l101,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(l143,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(96,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| sP3 ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l160,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| sP3 ),
inference(instantiation,[status(thm)],[96]) ).
fof(mLessRefl,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
cnf(57,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) ),
inference(cnf,[status(esa)],[mLessRefl]) ).
cnf(l32,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(xm,xm) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(l81,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(93,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf,[status(esa)],[m__1936]) ).
cnf(l199,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(l23,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(l226,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(l224,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
fof(mLessSucc,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
cnf(56,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf,[status(esa)],[mLessSucc]) ).
cnf(l72,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(xm,szszuzczcdt0(xm)) ),
inference(instantiation,[status(thm)],[56]) ).
cnf(l229,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(l152,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(l64,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(l176,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(l83,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(100,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP3 ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l589,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP3 ),
inference(instantiation,[status(thm)],[100]) ).
cnf(l142,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP3 ),
inference(instantiation,[status(thm)],[100]) ).
cnf(l179,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(l178,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(l177,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP3 ),
inference(instantiation,[status(thm)],[100]) ).
cnf(l79,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
fof(mSuccEquSucc,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
cnf(48,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mSuccEquSucc]) ).
cnf(l107,plain,
( szszuzczcdt0(xm) != szszuzczcdt0(xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| xm = xn ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l121,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[92]) ).
cnf(l220,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[93]) ).
cnf(98,plain,
( xm != xn
| sP3 ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l171,plain,
( xm != xn
| sP3 ),
inference(instantiation,[status(thm)],[98]) ).
cnf(l623,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sP3 ),
inference(instantiation,[status(thm)],[100]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l4,l3,l92,l119,l144,l49,l151,l68,l101,l143,l160,l32,l81,l199,l23,l226,l224,l72,l229,l152,l64,l176,l83,l589,l142,l179,l178,l177,l79,l107,l121,l220,l171,l623]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM541+2 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 12:45:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.48 % launching worker at depth: 11
% 20.47/2.94 % SZS status Theorem for theBenchmark
% 20.47/2.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------