%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP027+3 : 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 : n004.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 170.79s 37.55s
% Output : CNFRefutation 170.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 114 ( 11 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 139 ( 63 ~; 49 |; 9 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(t1_xboole_1,axiom,
! [X0,X1,X2] :
( ( 'r1$utarski'(X1,X2)
& 'r1$utarski'(X0,X1) )
=> 'r1$utarski'(X0,X2) ) ).
fof(t3_subset,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1))
<=> 'r1$utarski'(X0,X1) ) ).
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(t44_tops_1,axiom,
! [X0] :
( 'l1$upre$utopc'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> 'r1$utarski'('k1$utops$u1'(X0,X1),X1) ) ) ).
fof(t8_tsp_2,conjecture,
! [X0] :
( ( 'l1$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$u1'(X0,X2))) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t8_tsp_2]) ).
cnf(c17,plain,
( ~ 'v2$upre$utopc'(X1)
| ~ 'v3$upre$utopc'(X0,X1)
| 'v3$ustruct$u0'(X1)
| ~ 'l1$upre$utopc'(X1)
| X0 = 'k3$utex$u4'(X1,'k5$usubset$u1'('u1$ustruct$u0'(X1),X2,X0))
| ~ 'v1$utsp$u2'(X2,X1)
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
inference(clausification,[status(esa)],[t6_tsp_2]) ).
cnf(c75,plain,
( 'r1$utarski'(X0,X2)
| ~ 'r1$utarski'(X1,X2)
| ~ 'r1$utarski'(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c299,plain,
( 'r1$utarski'(X0,X1)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c300,plain,
( ~ 'r1$utarski'(X0,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c999,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(c1084,plain,
( 'r1$utarski'('k1$utops$u1'(X0,X1),X1)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[t44_tops_1]) ).
cnf(c1981,plain,
~ 'v3$ustruct$u0'(sK2196),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1982,plain,
'v2$upre$utopc'(sK2196),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1983,plain,
'l1$upre$utopc'(sK2196),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1984,plain,
'm1$usubset$u1'(sK2197,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1985,plain,
'v1$utsp$u2'(sK2197,sK2196),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1986,plain,
'm1$usubset$u1'(sK2198,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1987,plain,
'k1$utops$u1'(sK2196,sK2198) != 'k3$utex$u4'(sK2196,'k5$usubset$u1'('u1$ustruct$u0'(sK2196),sK2197,'k1$utops$u1'(sK2196,sK2198))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'r1$utarski'(sK2198,'u1$ustruct$u0'(sK2196)),
inference(resolution,[status(thm)],[c299,c1986]) ).
cnf(d1,plain,
( ~ 'r1$utarski'(X0,sK2198)
| 'r1$utarski'(X0,'u1$ustruct$u0'(sK2196)) ),
inference(resolution,[status(thm)],[d0,c75]) ).
cnf(d2,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| 'v3$ustruct$u0'(sK2196)
| ~ 'v2$upre$utopc'(sK2196)
| ~ 'm1$usubset$u1'(sK2197,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'l1$upre$utopc'(sK2196)
| ~ 'v1$utsp$u2'(sK2197,sK2196)
| 'k1$utops$u1'(sK2196,sK2198) != 'k1$utops$u1'(sK2196,sK2198) ),
inference(superposition,[status(thm)],[c17,c1987]) ).
cnf(d3,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'v2$upre$utopc'(sK2196)
| ~ 'm1$usubset$u1'(sK2197,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'l1$upre$utopc'(sK2196)
| ~ 'v1$utsp$u2'(sK2197,sK2196)
| 'k1$utops$u1'(sK2196,sK2198) != 'k1$utops$u1'(sK2196,sK2198) ),
inference(resolution,[status(thm)],[c1981,d2]) ).
cnf(d4,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'm1$usubset$u1'(sK2197,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'l1$upre$utopc'(sK2196)
| ~ 'v1$utsp$u2'(sK2197,sK2196)
| 'k1$utops$u1'(sK2196,sK2198) != 'k1$utops$u1'(sK2196,sK2198) ),
inference(resolution,[status(thm)],[c1982,d3]) ).
cnf(d5,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'm1$usubset$u1'(sK2197,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'v1$utsp$u2'(sK2197,sK2196)
| 'k1$utops$u1'(sK2196,sK2198) != 'k1$utops$u1'(sK2196,sK2198) ),
inference(resolution,[status(thm)],[c1983,d4]) ).
cnf(d6,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'm1$usubset$u1'(sK2197,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| 'k1$utops$u1'(sK2196,sK2198) != 'k1$utops$u1'(sK2196,sK2198) ),
inference(resolution,[status(thm)],[c1985,d5]) ).
cnf(d7,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196)))
| 'k1$utops$u1'(sK2196,sK2198) != 'k1$utops$u1'(sK2196,sK2198) ),
inference(resolution,[status(thm)],[c1984,d6]) ).
cnf(d8,plain,
( ~ 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196))) ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
( 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'v2$upre$utopc'(sK2196)
| ~ 'l1$upre$utopc'(sK2196) ),
inference(resolution,[status(thm)],[c999,c1986]) ).
cnf(d10,plain,
( 'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196)
| ~ 'l1$upre$utopc'(sK2196) ),
inference(resolution,[status(thm)],[c1982,d9]) ).
cnf(d11,plain,
'v3$upre$utopc'('k1$utops$u1'(sK2196,sK2198),sK2196),
inference(resolution,[status(thm)],[c1983,d10]) ).
cnf(d12,plain,
~ 'm1$usubset$u1'('k1$utops$u1'(sK2196,sK2198),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK2196))),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
~ 'r1$utarski'('k1$utops$u1'(sK2196,sK2198),'u1$ustruct$u0'(sK2196)),
inference(resolution,[status(thm)],[d12,c300]) ).
cnf(d14,plain,
~ 'r1$utarski'('k1$utops$u1'(sK2196,sK2198),sK2198),
inference(resolution,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
( 'r1$utarski'('k1$utops$u1'(sK2196,sK2198),sK2198)
| ~ 'l1$upre$utopc'(sK2196) ),
inference(resolution,[status(thm)],[c1084,c1986]) ).
cnf(d16,plain,
'r1$utarski'('k1$utops$u1'(sK2196,sK2198),sK2198),
inference(resolution,[status(thm)],[c1983,d15]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP027+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n004.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sat Sep 26 20:33:36 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 170.79/37.55 % SZS status Theorem for theBenchmark.p
% 170.79/37.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------