%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM560+1 : 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 12:28:30 PM UTC 2025
% Result : Theorem 62.14s 8.13s
% Output : CNFRefutation 62.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 75 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 77 ( 33 ~; 32 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(129,plain,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(instantiation,[status(thm)],[129]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(10,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK2(X0,X1),X0)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l1,plain,
( ~ aSet0(szDzozmdt0(xF))
| ~ aSet0(sdtlbdtrb0(xF,xy))
| ~ aElementOf0(sK2(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),szDzozmdt0(xF))
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(mDefPtt,plain,
! [W0,W1] :
( ( aFunction0(W0)
& aElement0(W1) )
=> ! [W2] :
( W2 = sdtlbdtrb0(W0,W1)
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElementOf0(W3,szDzozmdt0(W0))
& sdtlpdtrp0(W0,W3) = W1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
cnf(118,plain,
( ~ aElement0(X0)
| X1 != sdtlbdtrb0(X2,X0)
| ~ aFunction0(X2)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefPtt]) ).
cnf(l7,plain,
( ~ aElement0(xy)
| sdtlbdtrb0(xF,xy) != sdtlbdtrb0(xF,xy)
| ~ aFunction0(xF)
| aSet0(sdtlbdtrb0(xF,xy)) ),
inference(instantiation,[status(thm)],[118]) ).
cnf(119,plain,
( ~ aElement0(X0)
| X1 != sdtlbdtrb0(X2,X0)
| ~ aElementOf0(X3,X1)
| ~ aFunction0(X2)
| aElementOf0(X3,szDzozmdt0(X2)) ),
inference(cnf,[status(esa)],[mDefPtt]) ).
cnf(l3,plain,
( ~ aElement0(xy)
| sdtlbdtrb0(xF,xy) != sdtlbdtrb0(xF,xy)
| ~ aElementOf0(sK2(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),sdtlbdtrb0(xF,xy))
| ~ aFunction0(xF)
| aElementOf0(sK2(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),szDzozmdt0(xF)) ),
inference(instantiation,[status(thm)],[119]) ).
fof(m__2693,plain,
( aFunction0(xF)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2693) ).
cnf(128,plain,
aElement0(xy),
inference(cnf,[status(esa)],[m__2693]) ).
cnf(l78,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[128]) ).
cnf(127,plain,
aFunction0(xF),
inference(cnf,[status(esa)],[m__2693]) ).
cnf(l81,plain,
aFunction0(xF),
inference(instantiation,[status(thm)],[127]) ).
cnf(l29,plain,
aFunction0(xF),
inference(instantiation,[status(thm)],[127]) ).
fof(mDomSet,plain,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
cnf(116,plain,
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf,[status(esa)],[mDomSet]) ).
cnf(l4,plain,
( ~ aFunction0(xF)
| aSet0(szDzozmdt0(xF)) ),
inference(instantiation,[status(thm)],[116]) ).
cnf(9,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK2(X0,X1),X1)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l37,plain,
( ~ aSet0(szDzozmdt0(xF))
| ~ aSet0(sdtlbdtrb0(xF,xy))
| aElementOf0(sK2(szDzozmdt0(xF),sdtlbdtrb0(xF,xy)),sdtlbdtrb0(xF,xy))
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l60,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[128]) ).
cnf(l6,plain,
aFunction0(xF),
inference(instantiation,[status(thm)],[127]) ).
cnf(l57,plain,
( ~ aElement0(xy)
| sdtlbdtrb0(xF,xy) != sdtlbdtrb0(xF,xy)
| ~ aFunction0(xF)
| aSet0(sdtlbdtrb0(xF,xy)) ),
inference(instantiation,[status(thm)],[118]) ).
cnf(l462,plain,
aElement0(xy),
inference(instantiation,[status(thm)],[128]) ).
cnf(l460,plain,
aFunction0(xF),
inference(instantiation,[status(thm)],[127]) ).
cnf(l56,plain,
( ~ aFunction0(xF)
| aSet0(szDzozmdt0(xF)) ),
inference(instantiation,[status(thm)],[116]) ).
cnf(l399,plain,
aFunction0(xF),
inference(instantiation,[status(thm)],[127]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l3,l78,l81,l29,l4,l37,l60,l6,l57,l462,l460,l56,l399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM560+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 12:51:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.20/0.44 % launching worker at depth: 11
% 12.86/1.96 % launching worker at depth: 12
% 62.14/8.13 % SZS status Theorem for theBenchmark
% 62.14/8.13 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------