%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM539+2 : 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 : n015.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 08:13:04 AM UTC 2026
% Result : Theorem 26.39s 4.23s
% Output : CNFRefutation 26.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 75 ( 14 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 79 ( 27 ~; 24 |; 16 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mLessASymm,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ) ).
fof(m__1779,hypothesis,
( ~ ( xT = slcrc0
| ~ ? [X0] : aElementOf0(X0,xT) )
& ~ ( xS = slcrc0
| ~ ? [X0] : aElementOf0(X0,xS) )
& aSubsetOf0(xT,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xT)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ) ).
fof(m__1802,hypothesis,
( aElementOf0(szmzizndt0(xT),xS)
& ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xT),X0) )
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) ) ).
fof(m__,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xS),X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(szmzizndt0(xS),X0) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X0] :
( aElementOf0(X0,xT)
=> sdtlseqdt0(szmzizndt0(xS),X0) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c67,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X1 = X0
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1) ),
inference(clausification,[status(esa)],[mLessASymm]) ).
cnf(c90,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(clausification,[status(esa)],[m__1779]) ).
cnf(c101,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(clausification,[status(esa)],[m__1802]) ).
cnf(c103,plain,
( sdtlseqdt0(szmzizndt0(xT),X0)
| ~ aElementOf0(X0,xT) ),
inference(clausification,[status(esa)],[m__1802]) ).
cnf(c104,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(clausification,[status(esa)],[m__1802]) ).
cnf(c105,plain,
aElementOf0(szmzizndt0(xS),xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c106,plain,
( sdtlseqdt0(szmzizndt0(xS),X0)
| ~ aElementOf0(X0,xS) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c109,plain,
szmzizndt0(xS) != szmzizndt0(xT),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElementOf0(X0,xS)
| ~ sdtlseqdt0(X0,szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| X0 = szmzizndt0(xS) ),
inference(resolution,[status(thm)],[c67,c106]) ).
cnf(d1,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(resolution,[status(thm)],[c90,c105]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(X0,szmzizndt0(xS))
| ~ aElementOf0(X0,xS)
| ~ aElementOf0(X0,szNzAzT0)
| X0 = szmzizndt0(xS) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ aElementOf0(szmzizndt0(xS),xT)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| szmzizndt0(xT) = szmzizndt0(xS) ),
inference(resolution,[status(thm)],[d2,c103]) ).
cnf(d4,plain,
( ~ aElementOf0(szmzizndt0(xT),xS)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| szmzizndt0(xT) = szmzizndt0(xS) ),
inference(resolution,[status(thm)],[c101,d3]) ).
cnf(d5,plain,
( ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| szmzizndt0(xT) = szmzizndt0(xS) ),
inference(resolution,[status(thm)],[c104,d4]) ).
cnf(d6,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(resolution,[status(thm)],[c90,c104]) ).
cnf(d7,plain,
szmzizndt0(xT) = szmzizndt0(xS),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
szmzizndt0(xS) != szmzizndt0(xS),
inference(demodulation,[status(thm)],[c109,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM539+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 03:12:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.39/4.23 % SZS status Theorem for theBenchmark.p
% 26.39/4.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------