%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM610+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 : n023.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 12:28:39 PM UTC 2025
% Result : Theorem 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 54 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 18 ~; 14 |; 8 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aSubsetOf0(xP,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aSubsetOf0(xP,xO),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(216,plain,
~ aSubsetOf0(xP,xO),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aSubsetOf0(xP,xO),
inference(instantiation,[status(thm)],[216]) ).
fof(mSubTrans,plain,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
cnf(14,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2) ),
inference(cnf,[status(esa)],[mSubTrans]) ).
cnf(l1,plain,
( ~ aSet0(xP)
| ~ aSet0(xQ)
| ~ aSet0(xO)
| ~ aSubsetOf0(xP,xQ)
| ~ aSubsetOf0(xQ,xO)
| aSubsetOf0(xP,xO) ),
inference(instantiation,[status(thm)],[14]) ).
fof(m__5093,plain,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
cnf(206,plain,
aSubsetOf0(xQ,xO),
inference(cnf,[status(esa)],[m__5093]) ).
cnf(l24,plain,
aSubsetOf0(xQ,xO),
inference(instantiation,[status(thm)],[206]) ).
fof(m__5164,plain,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
cnf(211,plain,
aSet0(xP),
inference(cnf,[status(esa)],[m__5164]) ).
cnf(l2,plain,
aSet0(xP),
inference(instantiation,[status(thm)],[211]) ).
fof(m__4891,plain,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
cnf(197,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l12,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[197]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(7,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l7,plain,
( ~ aSet0(xO)
| ~ aSubsetOf0(xQ,xO)
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l14,plain,
aSubsetOf0(xQ,xO),
inference(instantiation,[status(thm)],[206]) ).
fof(m__4908,plain,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
cnf(199,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4908]) ).
cnf(l11,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[199]) ).
fof(m__5195,plain,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
cnf(215,plain,
aSubsetOf0(xP,xQ),
inference(cnf,[status(esa)],[m__5195]) ).
cnf(l25,plain,
aSubsetOf0(xP,xQ),
inference(instantiation,[status(thm)],[215]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l24,l2,l12,l7,l14,l11,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM610+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Jul 21 13:11:49 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------