%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM555+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 : n024.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 12:28:29 PM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 35 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 33 ( 15 ~; 8 |; 7 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(128,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(instantiation,[status(thm)],[128]) ).
fof(mDefDiff,plain,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( W2 = sdtmndt0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& aElementOf0(W3,W0)
& W3 != W1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
cnf(28,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| X2 != sdtmndt0(X1,X0)
| ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ),
inference(cnf,[status(esa)],[mDefDiff]) ).
cnf(l1,plain,
( ~ aElement0(xy)
| ~ aSet0(xQ)
| sdtmndt0(xQ,xy) != sdtmndt0(xQ,xy)
| ~ aElementOf0(xx,sdtmndt0(xQ,xy))
| aElementOf0(xx,xQ) ),
inference(instantiation,[status(thm)],[28]) ).
fof(m__2304,plain,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).
cnf(123,plain,
aElement0(xy),
inference(cnf,[status(esa)],[m__2304]) ).
cnf(l7,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[123]) ).
fof(m__2291,plain,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
cnf(120,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__2291]) ).
cnf(l6,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[120]) ).
fof(m__2323,plain,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2323) ).
cnf(125,plain,
~ aElementOf0(xx,xQ),
inference(cnf,[status(esa)],[m__2323]) ).
cnf(l5,plain,
~ aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[125]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l6,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM555+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 : n024.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 12:49:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 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: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------