%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 09:52:40 AM UTC 2026
% Result : Theorem 27.67s 4.81s
% Output : CNFRefutation 27.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 97 ( 12 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 126 ( 58 ~; 44 |; 9 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k1_tops_1,axiom,
! [X0,X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& 'l1$upre$utopc'(X0) )
=> 'm1$usubset$u1'('k1$utops$u1'(X0,X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) ) ).
fof(fc6_tops_1,axiom,
! [X0,X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0) )
=> 'v3$upre$utopc'('k1$utops$u1'(X0,X1),X0) ) ).
fof(t6_tsp_2,axiom,
! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v1$utsp$u2'(X1,X0)
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v3$upre$utopc'(X2,X0)
=> X2 = 'k3$utex$u4'(X0,'k5$usubset$u1'('u1$ustruct$u0'(X0),X1,X2)) ) ) ) ) ) ).
fof(t8_tsp_2,conjecture,
! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v1$utsp$u2'(X1,X0)
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> 'k1$utops$u1'(X0,X2) = 'k3$utex$u4'(X0,'k5$usubset$u1'('u1$ustruct$u0'(X0),X1,'k1$utops$u1'(X0,X2))) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v1$utsp$u2'(X1,X0)
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> 'k1$utops$u1'(X0,X2) = 'k3$utex$u4'(X0,'k5$usubset$u1'('u1$ustruct$u0'(X0),X1,'k1$utops$u1'(X0,X2))) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t8_tsp_2]) ).
cnf(c172,plain,
( 'm1$usubset$u1'('k1$utops$u1'(X0,X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[dt_k1_tops_1]) ).
cnf(c177,plain,
( 'v3$upre$utopc'('k1$utops$u1'(X0,X1),X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0)
| ~ 'v2$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[fc6_tops_1]) ).
cnf(c182,plain,
( ~ 'v2$upre$utopc'(X1)
| ~ 'v1$utsp$u2'(X2,X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v3$upre$utopc'(X0,X1)
| ~ 'l1$upre$utopc'(X1)
| X0 = 'k3$utex$u4'(X1,'k5$usubset$u1'('u1$ustruct$u0'(X1),X2,X0))
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
inference(clausification,[status(esa)],[t6_tsp_2]) ).
cnf(c183,plain,
~ 'v3$ustruct$u0'(sK144),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c184,plain,
'v2$upre$utopc'(sK144),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c185,plain,
'l1$upre$utopc'(sK144),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c186,plain,
'm1$usubset$u1'(sK145,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c187,plain,
'v1$utsp$u2'(sK145,sK144),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c188,plain,
'm1$usubset$u1'(sK146,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c189,plain,
'k1$utops$u1'(sK144,sK146) != 'k3$utex$u4'(sK144,'k5$usubset$u1'('u1$ustruct$u0'(sK144),sK145,'k1$utops$u1'(sK144,sK146))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'v1$utsp$u2'(sK145,sK144)
| 'v3$ustruct$u0'(sK144)
| ~ 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'l1$upre$utopc'(sK144)
| ~ 'v2$upre$utopc'(sK144)
| ~ 'm1$usubset$u1'(sK145,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(superposition,[status(thm)],[c182,c189]) ).
cnf(d1,plain,
( ~ 'v1$utsp$u2'(sK145,sK144)
| ~ 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'l1$upre$utopc'(sK144)
| ~ 'v2$upre$utopc'(sK144)
| ~ 'm1$usubset$u1'(sK145,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(resolution,[status(thm)],[c183,d0]) ).
cnf(d2,plain,
( ~ 'v1$utsp$u2'(sK145,sK144)
| ~ 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'l1$upre$utopc'(sK144)
| ~ 'm1$usubset$u1'(sK145,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(resolution,[status(thm)],[c184,d1]) ).
cnf(d3,plain,
( ~ 'v1$utsp$u2'(sK145,sK144)
| ~ 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'm1$usubset$u1'(sK145,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(resolution,[status(thm)],[c185,d2]) ).
cnf(d4,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'm1$usubset$u1'(sK145,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(resolution,[status(thm)],[c187,d3]) ).
cnf(d5,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(resolution,[status(thm)],[c186,d4]) ).
cnf(d6,plain,
( 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'l1$upre$utopc'(sK144)
| ~ 'v2$upre$utopc'(sK144) ),
inference(resolution,[status(thm)],[c177,c188]) ).
cnf(d7,plain,
( 'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144)
| ~ 'l1$upre$utopc'(sK144) ),
inference(resolution,[status(thm)],[c184,d6]) ).
cnf(d8,plain,
'v3$upre$utopc'('k1$utops$u1'(sK144,sK146),sK144),
inference(resolution,[status(thm)],[c185,d7]) ).
cnf(d9,plain,
( ~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144)))
| 'k1$utops$u1'(sK144,sK146) != 'k1$utops$u1'(sK144,sK146) ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
~ 'm1$usubset$u1'('k1$utops$u1'(sK144,sK146),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144))),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
( ~ 'l1$upre$utopc'(sK144)
| ~ 'm1$usubset$u1'(sK146,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144))) ),
inference(resolution,[status(thm)],[d10,c172]) ).
cnf(d12,plain,
~ 'm1$usubset$u1'(sK146,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK144))),
inference(resolution,[status(thm)],[c185,d11]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c188,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 20:33:44 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.67/4.81 % SZS status Theorem for theBenchmark.p
% 27.67/4.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------