%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO580+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 28.79s 9.07s
% Output : CNFRefutation 28.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 52 ( 17 ~; 16 |; 10 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_320,axiom,
( ? [X1] :
( ~ 'b48$ubuttercup10305'(X1)
& 'k04$ubuttercup10303'(X1) )
& ! [X0] :
( 'b48$ubuttercup10305'(X0)
=> 'k04$ubuttercup10303'(X0) ) ) ).
fof(goals_886,conjecture,
( ! [X5] :
( 'b48$ubuttercup10305'(X5)
=> ~ 'k04$ubuttercup10303'(X5) )
| ( ? [X4] :
( ~ 'b48$ubuttercup10305'(X4)
& 'k04$ubuttercup10303'(X4) )
& ! [X3] :
( 'b48$ubuttercup10305'(X3)
=> 'k04$ubuttercup10303'(X3) ) )
| ( ? [X2] :
( ~ 'k04$ubuttercup10303'(X2)
& 'b48$ubuttercup10305'(X2) )
& ! [X1] :
( 'k04$ubuttercup10303'(X1)
=> 'b48$ubuttercup10305'(X1) ) )
| ! [X0] :
( 'b48$ubuttercup10305'(X0)
<=> 'k04$ubuttercup10303'(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X5] :
( 'b48$ubuttercup10305'(X5)
=> ~ 'k04$ubuttercup10303'(X5) )
| ( ? [X4] :
( ~ 'b48$ubuttercup10305'(X4)
& 'k04$ubuttercup10303'(X4) )
& ! [X3] :
( 'b48$ubuttercup10305'(X3)
=> 'k04$ubuttercup10303'(X3) ) )
| ( ? [X2] :
( ~ 'k04$ubuttercup10303'(X2)
& 'b48$ubuttercup10305'(X2) )
& ! [X1] :
( 'k04$ubuttercup10303'(X1)
=> 'b48$ubuttercup10305'(X1) ) )
| ! [X0] :
( 'b48$ubuttercup10305'(X0)
<=> 'k04$ubuttercup10303'(X0) ) ),
inference(negate_conjecture,[status(cth)],[goals_886]) ).
cnf(c319,plain,
( 'k04$ubuttercup10303'(X0)
| ~ 'b48$ubuttercup10305'(X0) ),
inference(clausification,[status(esa)],[sos_320]) ).
cnf(c320,plain,
'k04$ubuttercup10303'(sK320),
inference(clausification,[status(esa)],[sos_320]) ).
cnf(c321,plain,
~ 'b48$ubuttercup10305'(sK320),
inference(clausification,[status(esa)],[sos_320]) ).
cnf(c1306,plain,
( 'k04$ubuttercup10303'(sK1079)
| 'b48$ubuttercup10305'(sK1079) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1307,plain,
( ~ 'b48$ubuttercup10305'(sK1079)
| ~ 'k04$ubuttercup10303'(sK1079) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1311,plain,
( 'b48$ubuttercup10305'(X0)
| ~ 'k04$ubuttercup10303'(X0)
| 'b48$ubuttercup10305'(sK1082) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1312,plain,
( 'b48$ubuttercup10305'(X0)
| ~ 'k04$ubuttercup10303'(X0)
| ~ 'k04$ubuttercup10303'(sK1082) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'k04$ubuttercup10303'(sK1079)
| 'k04$ubuttercup10303'(sK1079) ),
inference(resolution,[status(thm)],[c319,c1306]) ).
cnf(d1,plain,
( 'b48$ubuttercup10305'(sK1082)
| 'b48$ubuttercup10305'(sK320) ),
inference(resolution,[status(thm)],[c320,c1311]) ).
cnf(d2,plain,
'b48$ubuttercup10305'(sK1082),
inference(resolution,[status(thm)],[c321,d1]) ).
cnf(d3,plain,
'k04$ubuttercup10303'(sK1082),
inference(resolution,[status(thm)],[c319,d2]) ).
cnf(d4,plain,
( 'b48$ubuttercup10305'(X0)
| ~ 'k04$ubuttercup10303'(X0) ),
inference(resolution,[status(thm)],[d3,c1312]) ).
cnf(d5,plain,
'b48$ubuttercup10305'(sK1079),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
~ 'b48$ubuttercup10305'(sK1079),
inference(resolution,[status(thm)],[d0,c1307]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO580+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
% 0.09/5.36 % Computer : n003.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 19:32:16 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.79/9.07 % SZS status Theorem for theBenchmark.p
% 28.79/9.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------