%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:13:03 AM UTC 2026
% Result : Theorem 14.60s 2.42s
% Output : CNFRefutation 14.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 8 unt; 1 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 27 |; 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 : 17 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSub,definition,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ) ).
fof(m__522,hypothesis,
( aSet0(xC)
& aSet0(xB)
& aSet0(xA) ) ).
fof(m__,conjecture,
( ( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) )
=> aSubsetOf0(xA,xC) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& aSubsetOf0(xA,xB) )
=> aSubsetOf0(xA,xC) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c8,plain,
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c9,plain,
( aElementOf0(sK14(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c10,plain,
( ~ aElementOf0(sK14(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[mDefSub]) ).
cnf(c14,plain,
aSet0(xA),
inference(clausification,[status(esa)],[m__522]) ).
cnf(c15,plain,
aSet0(xB),
inference(clausification,[status(esa)],[m__522]) ).
cnf(c16,plain,
aSet0(xC),
inference(clausification,[status(esa)],[m__522]) ).
cnf(c17,plain,
aSubsetOf0(xA,xB),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
aSubsetOf0(xB,xC),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
~ aSubsetOf0(xA,xC),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X0,xB)
| aElementOf0(X0,xC)
| ~ aSet0(xC) ),
inference(resolution,[status(thm)],[c8,c18]) ).
cnf(d1,plain,
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) ),
inference(resolution,[status(thm)],[c16,d0]) ).
cnf(d2,plain,
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB)
| ~ aSet0(xB) ),
inference(resolution,[status(thm)],[c8,c17]) ).
cnf(d3,plain,
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) ),
inference(resolution,[status(thm)],[c15,d2]) ).
cnf(d4,plain,
( aSubsetOf0(xA,X0)
| ~ aSet0(xA)
| ~ aSet0(X0)
| aElementOf0(sK14(X0,xA),xB) ),
inference(resolution,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
( aSubsetOf0(xA,X0)
| aElementOf0(sK14(X0,xA),xB)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[c14,d4]) ).
cnf(d6,plain,
( aElementOf0(sK14(X0,xA),xC)
| aSubsetOf0(xA,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( aSubsetOf0(xA,xC)
| ~ aSet0(xA)
| ~ aSet0(xC)
| aSubsetOf0(xA,xC)
| ~ aSet0(xC) ),
inference(resolution,[status(thm)],[d6,c10]) ).
cnf(d8,plain,
( ~ aSet0(xC)
| ~ aSet0(xA) ),
inference(resolution,[status(thm)],[c19,d7]) ).
cnf(d9,plain,
~ aSet0(xC),
inference(resolution,[status(thm)],[c14,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c16,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM533+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n002.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 03:10:50 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.60/2.42 % SZS status Theorem for theBenchmark.p
% 14.60/2.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------