%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU422+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 08:41:58 AM UTC 2026
% Result : Theorem 115.56s 15.10s
% Output : CNFRefutation 115.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 44 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 9 |; 1 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_relset_2,axiom,
! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> X1 = 'k3$utarski'('a$u2$u0$urelset$u2'(X0,X1)) ) ) ).
fof(t1_xboole_1,axiom,
! [X0,X1,X2] :
( ( 'r1$utarski'(X1,X2)
& 'r1$utarski'(X0,X1) )
=> 'r1$utarski'(X0,X2) ) ).
fof(t79_zfmisc_1,axiom,
! [X0,X1] :
( 'r1$utarski'(X0,X1)
=> 'r1$utarski'('k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'(X1)) ) ).
fof(t100_zfmisc_1,axiom,
! [X0] : 'r1$utarski'(X0,'k1$uzfmisc$u1'('k3$utarski'(X0))) ).
fof(t3_subset,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1))
<=> 'r1$utarski'(X0,X1) ) ).
fof(t16_relset_2,conjecture,
! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> 'm1$usubset$u1'('a$u2$u0$urelset$u2'(X0,X1),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0))) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ~ 'v1$uxboole$u0'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> 'm1$usubset$u1'('a$u2$u0$urelset$u2'(X0,X1),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0))) ) ),
inference(negate_conjecture,[status(cth)],[t16_relset_2]) ).
cnf(c10,plain,
( X1 = 'k3$utarski'('a$u2$u0$urelset$u2'(X0,X1))
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
| 'v1$uxboole$u0'(X0) ),
inference(clausification,[status(esa)],[t15_relset_2]) ).
cnf(c120,plain,
( 'r1$utarski'(X0,X2)
| ~ 'r1$utarski'(X1,X2)
| ~ 'r1$utarski'(X0,X1) ),
inference(clausification,[status(esa)],[t1_xboole_1]) ).
cnf(c346,plain,
( 'r1$utarski'('k1$uzfmisc$u1'(X0),'k1$uzfmisc$u1'(X1))
| ~ 'r1$utarski'(X0,X1) ),
inference(clausification,[status(esa)],[t79_zfmisc_1]) ).
cnf(c361,plain,
'r1$utarski'(X0,'k1$uzfmisc$u1'('k3$utarski'(X0))),
inference(clausification,[status(esa)],[t100_zfmisc_1]) ).
cnf(c518,plain,
( 'r1$utarski'(X0,X1)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c519,plain,
( ~ 'r1$utarski'(X0,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c1539,plain,
~ 'v1$uxboole$u0'(sK2143),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1540,plain,
'm1$usubset$u1'(sK2144,'k1$uzfmisc$u1'(sK2143)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1541,plain,
~ 'm1$usubset$u1'('a$u2$u0$urelset$u2'(sK2143,sK2144),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK2143))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v1$uxboole$u0'(sK2143)
| sK2144 = 'k3$utarski'('a$u2$u0$urelset$u2'(sK2143,sK2144)) ),
inference(resolution,[status(thm)],[c10,c1540]) ).
cnf(d1,plain,
sK2144 = 'k3$utarski'('a$u2$u0$urelset$u2'(sK2143,sK2144)),
inference(resolution,[status(thm)],[c1539,d0]) ).
cnf(d2,plain,
'r1$utarski'('a$u2$u0$urelset$u2'(sK2143,sK2144),'k1$uzfmisc$u1'(sK2144)),
inference(superposition,[status(thm)],[d1,c361]) ).
cnf(d3,plain,
( 'r1$utarski'('a$u2$u0$urelset$u2'(sK2143,sK2144),X0)
| ~ 'r1$utarski'('k1$uzfmisc$u1'(sK2144),X0) ),
inference(resolution,[status(thm)],[d2,c120]) ).
cnf(d4,plain,
~ 'r1$utarski'('a$u2$u0$urelset$u2'(sK2143,sK2144),'k1$uzfmisc$u1'(sK2143)),
inference(resolution,[status(thm)],[c519,c1541]) ).
cnf(d5,plain,
~ 'r1$utarski'('k1$uzfmisc$u1'(sK2144),'k1$uzfmisc$u1'(sK2143)),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
~ 'r1$utarski'(sK2144,sK2143),
inference(resolution,[status(thm)],[d5,c346]) ).
cnf(d7,plain,
'r1$utarski'(sK2144,sK2143),
inference(resolution,[status(thm)],[c518,c1540]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU422+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.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 09:39:14 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 115.56/15.10 % SZS status Theorem for theBenchmark.p
% 115.56/15.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------