%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 08:40:52 AM UTC 2026
% Result : Theorem 14.96s 4.22s
% Output : CNFRefutation 14.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 34 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 31 ( 14 ~; 10 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d6_xboole_0,axiom,
! [X0,X1] : 'symmetric$udifference'(X0,X1) = 'set$uunion2'('set$udifference'(X0,X1),'set$udifference'(X1,X0)) ).
fof(fc12_finset_1,axiom,
! [X0,X1] :
( finite(X0)
=> finite('set$udifference'(X0,X1)) ) ).
fof(fc9_finset_1,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('set$uunion2'(X0,X1)) ) ).
fof(t28_finset_1,conjecture,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('symmetric$udifference'(X0,X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite('symmetric$udifference'(X0,X1)) ),
inference(negate_conjecture,[status(cth)],[t28_finset_1]) ).
cnf(c27,plain,
'symmetric$udifference'(X0,X1) = 'set$uunion2'('set$udifference'(X0,X1),'set$udifference'(X1,X0)),
inference(clausification,[status(esa)],[d6_xboole_0]) ).
cnf(c29,plain,
( finite('set$udifference'(X0,X1))
| ~ finite(X0) ),
inference(clausification,[status(esa)],[fc12_finset_1]) ).
cnf(c50,plain,
( finite('set$uunion2'(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(clausification,[status(esa)],[fc9_finset_1]) ).
cnf(c153,plain,
finite(sK94),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c154,plain,
finite(sK95),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c155,plain,
~ finite('symmetric$udifference'(sK94,sK95)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ finite('set$udifference'(X0,X1))
| ~ finite('set$udifference'(X1,X0))
| finite('symmetric$udifference'(X0,X1)) ),
inference(superposition,[status(thm)],[c27,c50]) ).
cnf(d1,plain,
( ~ finite(X0)
| ~ finite('set$udifference'(X1,X0))
| finite('symmetric$udifference'(X0,X1)) ),
inference(resolution,[status(thm)],[d0,c29]) ).
cnf(d2,plain,
( ~ finite(X1)
| finite('symmetric$udifference'(X0,X1))
| ~ finite(X0) ),
inference(resolution,[status(thm)],[d1,c29]) ).
cnf(d3,plain,
( ~ finite(sK94)
| ~ finite(sK95) ),
inference(resolution,[status(thm)],[d2,c155]) ).
cnf(d4,plain,
~ finite(sK95),
inference(resolution,[status(thm)],[c153,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c154,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU097+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 08:35:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.96/4.22 % SZS status Theorem for theBenchmark.p
% 14.96/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------