%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT032+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 : n015.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 06:55:42 AM UTC 2026
% Result : Theorem 10.95s 12.44s
% Output : CNFRefutation 10.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 10 unt; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 617 ( 311 ~; 265 |; 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_k17_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'('k17$uisocat$u2'(X0,X1,X2),'k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2))) ) ).
fof(t48_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'('k17$uisocat$u2'(X0,X1,X2),'k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2))) ) ) ) ).
fof(t49_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'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,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'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2))) ) ) ),
inference(negate_conjecture,[status(cth)],[t49_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)
| ~ 'v2$ucat$u1'(X2)
| 'm2$ucat$u1'('k17$uisocat$u2'(X2,X0,X1),'k12$unattra$u1'(X2,'k11$ucat$u2'(X0,X1)),'k11$ucat$u2'('k12$unattra$u1'(X2,X0),'k12$unattra$u1'(X2,X1)))
| ~ 'l1$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k17_isocat_2]) ).
cnf(c61,plain,
( ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X2)
| ~ 'l1$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X1)
| 'v8$ucat$u1'('k17$uisocat$u2'(X0,X1,X2),'k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2))) ),
inference(clausification,[status(esa)],[t48_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'(sK98,'k11$ucat$u2'(sK99,sK100)),'k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm2$ucat$u1'('k17$uisocat$u2'(X0,X1,X2),'k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2)))
| 'r1$uisocat$u1'('k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)),'k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(X0,X1),'k12$unattra$u1'(X0,X2)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(X0,'k11$ucat$u2'(X1,X2)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(X0,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)],[c61,c5]) ).
cnf(d1,plain,
( ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'(X2)
| ~ 'l1$ucat$u1'(X1)
| ~ 'l1$ucat$u1'(X0)
| 'r1$uisocat$u1'('k12$unattra$u1'(X2,'k11$ucat$u2'(X1,X0)),'k11$ucat$u2'('k12$unattra$u1'(X2,X1),'k12$unattra$u1'(X2,X0)))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(X2,'k11$ucat$u2'(X1,X0)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(X2,X1),'k12$unattra$u1'(X2,X0)))
| ~ 'v2$ucat$u1'(X2)
| ~ 'v2$ucat$u1'(X1)
| ~ 'v2$ucat$u1'(X0)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(X2,'k11$ucat$u2'(X1,X0)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(X2,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'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98) ),
inference(resolution,[status(thm)],[d1,c73]) ).
cnf(d3,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,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,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))) ),
inference(resolution,[status(thm)],[c68,d3]) ).
cnf(d5,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))) ),
inference(resolution,[status(thm)],[c69,d4]) ).
cnf(d6,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))) ),
inference(resolution,[status(thm)],[c70,d5]) ).
cnf(d7,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))) ),
inference(resolution,[status(thm)],[c71,d6]) ).
cnf(d8,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'v2$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))) ),
inference(resolution,[status(thm)],[c72,d7]) ).
cnf(d9,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'('k12$unattra$u1'(sK98,sK99),'k12$unattra$u1'(sK98,sK100))) ),
inference(resolution,[status(thm)],[d8,c8]) ).
cnf(d10,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100))) ),
inference(resolution,[status(thm)],[d9,c9]) ).
cnf(d11,plain,
( ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100))) ),
inference(resolution,[status(thm)],[d10,c11]) ).
cnf(d12,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c67,d11]) ).
cnf(d13,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,'k11$ucat$u2'(sK99,sK100)))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c68,d12]) ).
cnf(d14,plain,
( ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[d13,c12]) ).
cnf(d15,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c67,d14]) ).
cnf(d16,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c68,d15]) ).
cnf(d17,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[d16,c11]) ).
cnf(d18,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c67,d17]) ).
cnf(d19,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c68,d18]) ).
cnf(d20,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c71,d19]) ).
cnf(d21,plain,
( ~ 'v2$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c72,d20]) ).
cnf(d22,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[d21,c11]) ).
cnf(d23,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c67,d22]) ).
cnf(d24,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c68,d23]) ).
cnf(d25,plain,
( ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c69,d24]) ).
cnf(d26,plain,
( ~ 'v2$ucat$u1'('k11$ucat$u2'(sK99,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c70,d25]) ).
cnf(d27,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[d26,c8]) ).
cnf(d28,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c69,d27]) ).
cnf(d29,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c70,d28]) ).
cnf(d30,plain,
( ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c71,d29]) ).
cnf(d31,plain,
( ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK100))
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c72,d30]) ).
cnf(d32,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[d31,c12]) ).
cnf(d33,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c67,d32]) ).
cnf(d34,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c68,d33]) ).
cnf(d35,plain,
( ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c71,d34]) ).
cnf(d36,plain,
( ~ 'l1$ucat$u1'('k12$unattra$u1'(sK98,sK99))
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c72,d35]) ).
cnf(d37,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'v2$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[d36,c12]) ).
cnf(d38,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK98)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c67,d37]) ).
cnf(d39,plain,
( ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c68,d38]) ).
cnf(d40,plain,
( ~ 'l1$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)) ),
inference(resolution,[status(thm)],[c69,d39]) ).
cnf(d41,plain,
~ 'l1$ucat$u1'('k11$ucat$u2'(sK99,sK100)),
inference(resolution,[status(thm)],[c70,d40]) ).
cnf(d42,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'v2$ucat$u1'(sK99)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99) ),
inference(resolution,[status(thm)],[d41,c9]) ).
cnf(d43,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK99) ),
inference(resolution,[status(thm)],[c69,d42]) ).
cnf(d44,plain,
( ~ 'v2$ucat$u1'(sK100)
| ~ 'l1$ucat$u1'(sK100) ),
inference(resolution,[status(thm)],[c70,d43]) ).
cnf(d45,plain,
~ 'l1$ucat$u1'(sK100),
inference(resolution,[status(thm)],[c71,d44]) ).
cnf(d46,plain,
$false,
inference(resolution,[status(thm)],[c72,d45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT032+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
% 0.12/10.39 % Computer : n015.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Sat Sep 26 23:01:25 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.95/12.44 % SZS status Theorem for theBenchmark.p
% 10.95/12.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------