%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT025+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 : n002.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 06:55:40 AM UTC 2026
% Result : Theorem 15.27s 2.66s
% Output : CNFRefutation 15.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 10 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 517 ( 258 ~; 218 |; 26 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_isocat_1,axiom,
! [X0] :
( ( 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> ! [X1] :
( ( 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1) )
=> ( 'r1$uisocat$u1'(X0,X1)
<=> ? [X2] :
( 'v8$ucat$u1'(X2,X0,X1)
& 'm2$ucat$u1'(X2,X0,X1) ) ) ) ) ).
fof(dt_k11_cat_2,axiom,
! [X0,X1] :
( ( 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1)
& 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> ( 'l1$ucat$u1'('k11$ucat$u2'(X0,X1))
& 'v2$ucat$u1'('k11$ucat$u2'(X0,X1)) ) ) ).
fof(dt_k12_nattra_1,axiom,
! [X0,X1] :
( ( 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1)
& 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> ( 'l1$ucat$u1'('k12$unattra$u1'(X0,X1))
& 'v2$ucat$u1'('k12$unattra$u1'(X0,X1))
& 'v1$ucat$u1'('k12$unattra$u1'(X0,X1)) ) ) ).
fof(dt_k7_isocat_2,axiom,
! [X0,X1,X2] :
( ( 'l1$ucat$u1'(X2)
& 'v2$ucat$u1'(X2)
& 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1)
& 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> 'm2$ucat$u1'('k7$uisocat$u2'(X0,X1,X2),'k12$unattra$u1'('k11$ucat$u2'(X0,X1),X2),'k12$unattra$u1'(X0,'k12$unattra$u1'(X1,X2))) ) ).
fof(t33_isocat_2,axiom,
! [X0] :
( ( 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> ! [X1] :
( ( 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1) )
=> ! [X2] :
( ( 'l1$ucat$u1'(X2)
& 'v2$ucat$u1'(X2) )
=> 'v8$ucat$u1'('k7$uisocat$u2'(X0,X1,X2),'k12$unattra$u1'('k11$ucat$u2'(X0,X1),X2),'k12$unattra$u1'(X0,'k12$unattra$u1'(X1,X2))) ) ) ) ).
fof(t34_isocat_2,conjecture,
! [X0] :
( ( 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> ! [X1] :
( ( 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1) )
=> ! [X2] :
( ( 'l1$ucat$u1'(X2)
& 'v2$ucat$u1'(X2) )
=> 'r1$uisocat$u1'('k12$unattra$u1'('k11$ucat$u2'(X0,X1),X2),'k12$unattra$u1'(X0,'k12$unattra$u1'(X1,X2))) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$ucat$u1'(X0)
& 'v2$ucat$u1'(X0) )
=> ! [X1] :
( ( 'l1$ucat$u1'(X1)
& 'v2$ucat$u1'(X1) )
=> ! [X2] :
( ( 'l1$ucat$u1'(X2)
& 'v2$ucat$u1'(X2) )
=> 'r1$uisocat$u1'('k12$unattra$u1'('k11$ucat$u2'(X0,X1),X2),'k12$unattra$u1'(X0,'k12$unattra$u1'(X1,X2))) ) ) ),
inference(negate_conjecture,[status(cth)],[t34_isocat_2]) ).
cnf(c5,plain,
( ~ 'v2$ucat$u1'(X2)
| ~ 'm2$ucat$u1'(X1,X0,X2)
| ~ 'l1$ucat$u1'(X2)
| ~ 'l1$ucat$u1'(X0)
| 'r1$uisocat$u1'(X0,X2)
| ~ 'v8$ucat$u1'(X1,X0,X2)
| ~ 'v2$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[d4_isocat_1]) ).
cnf(c8,plain,
( ~ 'l1$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X1)
| 'v2$ucat$u1'('k11$ucat$u2'(X1,X0))
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k11_cat_2]) ).
cnf(c9,plain,
( ~ 'v2$ucat$u1'(X0)
| 'l1$ucat$u1'('k11$ucat$u2'(X1,X0))
| ~ 'l1$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k11_cat_2]) ).
cnf(c11,plain,
( 'v2$ucat$u1'('k12$unattra$u1'(X1,X0))
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k12_nattra_1]) ).
cnf(c12,plain,
( ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X1)
| 'l1$ucat$u1'('k12$unattra$u1'(X1,X0))
| ~ 'l1$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k12_nattra_1]) ).
cnf(c13,plain,
( ~ 'l1$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X2)
| 'm2$ucat$u1'('k7$uisocat$u2'(X2,X0,X1),'k12$unattra$u1'('k11$ucat$u2'(X2,X0),X1),'k12$unattra$u1'(X2,'k12$unattra$u1'(X0,X1)))
| ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k7_isocat_2]) ).
cnf(c59,plain,
( ~ 'l1$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X0)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X2)
| 'v8$ucat$u1'('k7$uisocat$u2'(X0,X2,X1),'k12$unattra$u1'('k11$ucat$u2'(X0,X2),X1),'k12$unattra$u1'(X0,'k12$unattra$u1'(X2,X1)))
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[t33_isocat_2]) ).
cnf(c67,plain,
'v2$ucat$u1'(sK98),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c68,plain,
'l1$ucat$u1'(sK98),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c69,plain,
'v2$ucat$u1'(sK99),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c70,plain,
'l1$ucat$u1'(sK99),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
'v2$ucat$u1'(sK100),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c72,plain,
'l1$ucat$u1'(sK100),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c73,plain,
~ 'r1$uisocat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100),'k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm2$ucat$u1'('k7$uisocat$u2'(X1,X0,X2),'k12$unattra$u1'('k11$ucat$u2'(X1,X0),X2),'k12$unattra$u1'(X1,'k12$unattra$u1'(X0,X2)))
| 'r1$uisocat$u1'('k12$unattra$u1'('k11$ucat$u2'(X1,X0),X2),'k12$unattra$u1'(X1,'k12$unattra$u1'(X0,X2)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(X1,X0),X2))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(X1,'k12$unattra$u1'(X0,X2)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(X1,X0),X2))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(X1,'k12$unattra$u1'(X0,X2)))
| ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X2)
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X0) ),
inference(resolution,[status(thm)],[c59,c5]) ).
cnf(d1,plain,
( ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X2)
| ~ 'l1$ucat$u1'(X0)
| 'r1$uisocat$u1'('k12$unattra$u1'('k11$ucat$u2'(X1,X2),X0),'k12$unattra$u1'(X1,'k12$unattra$u1'(X2,X0)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(X1,X2),X0))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(X1,'k12$unattra$u1'(X2,X0)))
| ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(X1,X2),X0))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(X1,'k12$unattra$u1'(X2,X0)))
| ~ 'l1$ucat$u1'(X2)
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X0) ),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK99) ),
inference(resolution,[status(thm)],[d1,c73]) ).
cnf(d3,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c67,d2]) ).
cnf(d4,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c68,d3]) ).
cnf(d5,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c69,d4]) ).
cnf(d6,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c70,d5]) ).
cnf(d7,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c71,d6]) ).
cnf(d8,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c72,d7]) ).
cnf(d9,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[d8,c11]) ).
cnf(d10,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c67,d9]) ).
cnf(d11,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[c68,d10]) ).
cnf(d12,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100)) ),
inference(resolution,[status(thm)],[d11,c11]) ).
cnf(d13,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c71,d12]) ).
cnf(d14,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k12$unattra$u1'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c72,d13]) ).
cnf(d15,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[d14,c12]) ).
cnf(d16,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c67,d15]) ).
cnf(d17,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'('k11$ucat$u2'(sK98,sK99),sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c68,d16]) ).
cnf(d18,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[d17,c12]) ).
cnf(d19,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c71,d18]) ).
cnf(d20,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c72,d19]) ).
cnf(d21,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[d20,c11]) ).
cnf(d22,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c69,d21]) ).
cnf(d23,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c70,d22]) ).
cnf(d24,plain,
( ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c71,d23]) ).
cnf(d25,plain,
( ~ 'v2$ucat$u1'('k11$ucat$u2'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c72,d24]) ).
cnf(d26,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[d25,c8]) ).
cnf(d27,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c67,d26]) ).
cnf(d28,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c68,d27]) ).
cnf(d29,plain,
( ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c69,d28]) ).
cnf(d30,plain,
( ~ 'l1$ucat$u1'('k12$unattra$u1'(sK99,sK100))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c70,d29]) ).
cnf(d31,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[d30,c12]) ).
cnf(d32,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c69,d31]) ).
cnf(d33,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c70,d32]) ).
cnf(d34,plain,
( ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)) ),
inference(resolution,[status(thm)],[c71,d33]) ).
cnf(d35,plain,
~ 'l1$ucat$u1'('k11$ucat$u2'(sK98,sK99)),
inference(resolution,[status(thm)],[c72,d34]) ).
cnf(d36,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98) ),
inference(resolution,[status(thm)],[d35,c9]) ).
cnf(d37,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98) ),
inference(resolution,[status(thm)],[c67,d36]) ).
cnf(d38,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK99) ),
inference(resolution,[status(thm)],[c68,d37]) ).
cnf(d39,plain,
~ 'l1$ucat$u1'(sK99),
inference(resolution,[status(thm)],[c69,d38]) ).
cnf(d40,plain,
$false,
inference(resolution,[status(thm)],[c70,d39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT025+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
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 22:56:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.27/2.66 % SZS status Theorem for theBenchmark.p
% 15.27/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------