%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM533+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 : n026.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 12:28:25 PM UTC 2025
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 21 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC) )
=> aSubsetOf0(xA,xC) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(17,plain,
aSubsetOf0(xA,xB),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aSubsetOf0(xA,xB),
inference(instantiation,[status(thm)],[17]) ).
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(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l1,plain,
( ~ aSet0(xB)
| ~ aElementOf0(sK2(xC,xA),xA)
| ~ aSubsetOf0(xA,xB)
| aElementOf0(sK2(xC,xA),xB) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__522,plain,
( aSet0(xA)
& aSet0(xB)
& aSet0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).
cnf(15,plain,
aSet0(xB),
inference(cnf,[status(esa)],[m__522]) ).
cnf(l2,plain,
aSet0(xB),
inference(instantiation,[status(thm)],[15]) ).
cnf(9,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK2(X0,X1),X1)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l40,plain,
( ~ aSet0(xC)
| ~ aSet0(xA)
| aElementOf0(sK2(xC,xA),xA)
| aSubsetOf0(xA,xC) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(16,plain,
aSet0(xC),
inference(cnf,[status(esa)],[m__522]) ).
cnf(l46,plain,
aSet0(xC),
inference(instantiation,[status(thm)],[16]) ).
cnf(14,plain,
aSet0(xA),
inference(cnf,[status(esa)],[m__522]) ).
cnf(l55,plain,
aSet0(xA),
inference(instantiation,[status(thm)],[14]) ).
cnf(l57,plain,
( ~ aSet0(xC)
| ~ aElementOf0(sK2(xC,xA),xB)
| ~ aSubsetOf0(xB,xC)
| aElementOf0(sK2(xC,xA),xC) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(19,plain,
~ aSubsetOf0(xA,xC),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l87,plain,
~ aSubsetOf0(xA,xC),
inference(instantiation,[status(thm)],[19]) ).
cnf(10,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK2(X0,X1),X0)
| aSubsetOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l61,plain,
( ~ aSet0(xC)
| ~ aSet0(xA)
| ~ aElementOf0(sK2(xC,xA),xC)
| aSubsetOf0(xA,xC) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l65,plain,
aSet0(xC),
inference(instantiation,[status(thm)],[16]) ).
cnf(l59,plain,
aSet0(xC),
inference(instantiation,[status(thm)],[16]) ).
cnf(l69,plain,
aSet0(xA),
inference(instantiation,[status(thm)],[14]) ).
cnf(18,plain,
aSubsetOf0(xB,xC),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l58,plain,
aSubsetOf0(xB,xC),
inference(instantiation,[status(thm)],[18]) ).
cnf(l66,plain,
~ aSubsetOf0(xA,xC),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l40,l46,l55,l57,l87,l61,l65,l59,l69,l58,l66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM533+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 12:42:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 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: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------