%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 09:46:42 AM UTC 2026
% Result : Theorem 13.18s 2.32s
% Output : CNFRefutation 13.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 58 ( 18 ~; 13 |; 20 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 7 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_21,axiom,
( ? [X1] :
( ~ 'k04$ubuttercup10100'(X1)
& 'b48$ubuttercup10098'(X1) )
& ! [X0] :
( 'k04$ubuttercup10100'(X0)
=> 'b48$ubuttercup10098'(X0) ) ) ).
fof(goals_86,conjecture,
( ! [X7] :
( 'k04$ubuttercup10100'(X7)
=> ~ 'b48$ubuttercup10098'(X7) )
| ? [X4,X5,X6] :
( 'b48$ubuttercup10098'(X6)
& ~ 'k04$ubuttercup10100'(X6)
& ~ 'b48$ubuttercup10098'(X5)
& 'k04$ubuttercup10100'(X5)
& 'b48$ubuttercup10098'(X4)
& 'k04$ubuttercup10100'(X4) )
| ( ? [X3] :
( ~ 'k04$ubuttercup10100'(X3)
& 'b48$ubuttercup10098'(X3) )
& ! [X2] :
( 'k04$ubuttercup10100'(X2)
=> 'b48$ubuttercup10098'(X2) ) )
| ( ? [X1] :
( ~ 'b48$ubuttercup10098'(X1)
& 'k04$ubuttercup10100'(X1) )
& ! [X0] :
( 'b48$ubuttercup10098'(X0)
=> 'k04$ubuttercup10100'(X0) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X7] :
( 'k04$ubuttercup10100'(X7)
=> ~ 'b48$ubuttercup10098'(X7) )
| ? [X4,X5,X6] :
( 'b48$ubuttercup10098'(X6)
& ~ 'k04$ubuttercup10100'(X6)
& ~ 'b48$ubuttercup10098'(X5)
& 'k04$ubuttercup10100'(X5)
& 'b48$ubuttercup10098'(X4)
& 'k04$ubuttercup10100'(X4) )
| ( ? [X3] :
( ~ 'k04$ubuttercup10100'(X3)
& 'b48$ubuttercup10098'(X3) )
& ! [X2] :
( 'k04$ubuttercup10100'(X2)
=> 'b48$ubuttercup10098'(X2) ) )
| ( ? [X1] :
( ~ 'b48$ubuttercup10098'(X1)
& 'k04$ubuttercup10100'(X1) )
& ! [X0] :
( 'b48$ubuttercup10098'(X0)
=> 'k04$ubuttercup10100'(X0) ) ) ),
inference(negate_conjecture,[status(cth)],[goals_86]) ).
cnf(c87,plain,
( 'b48$ubuttercup10098'(X0)
| ~ 'k04$ubuttercup10100'(X0) ),
inference(clausification,[status(esa)],[sos_21]) ).
cnf(c88,plain,
'b48$ubuttercup10098'(sK72),
inference(clausification,[status(esa)],[sos_21]) ).
cnf(c89,plain,
~ 'k04$ubuttercup10100'(sK72),
inference(clausification,[status(esa)],[sos_21]) ).
cnf(c181,plain,
( 'k04$ubuttercup10100'(X0)
| ~ 'b48$ubuttercup10098'(X0)
| 'k04$ubuttercup10100'(sK158) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c182,plain,
( 'k04$ubuttercup10100'(X0)
| ~ 'b48$ubuttercup10098'(X0)
| ~ 'b48$ubuttercup10098'(sK158) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'k04$ubuttercup10100'(sK158)
| 'k04$ubuttercup10100'(sK72) ),
inference(resolution,[status(thm)],[c88,c181]) ).
cnf(d1,plain,
'k04$ubuttercup10100'(sK158),
inference(resolution,[status(thm)],[c89,d0]) ).
cnf(d2,plain,
'b48$ubuttercup10098'(sK158),
inference(resolution,[status(thm)],[d1,c87]) ).
cnf(d3,plain,
( 'k04$ubuttercup10100'(X0)
| ~ 'b48$ubuttercup10098'(X0) ),
inference(resolution,[status(thm)],[d2,c182]) ).
cnf(d4,plain,
'k04$ubuttercup10100'(sK72),
inference(resolution,[status(thm)],[d3,c88]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c89,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.32 % Computer : n003.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8046.5625MB
% 0.08/0.32 % OS : Linux 6.8.0-71-generic
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 300
% 0.08/0.32 % DateTime : Sat Sep 26 19:31:55 UTC 2026
% 0.08/0.32 % CPUTime :
% 0.08/0.32 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.18/2.32 % SZS status Theorem for theBenchmark.p
% 13.18/2.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------