%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP643+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 : n017.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 07:24:18 AM UTC 2026
% Result : Theorem 14.62s 13.09s
% Output : CNFRefutation 14.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 58 ( 16 unt; 0 def)
% Number of atoms : 258 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 379 ( 179 ~; 159 |; 21 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_latsubgr,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'm1$ugroup$u2'(X1,X0)
& 'v1$ugroup$u1'(X1) )
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ( 'r2$uhidden'(X2,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1))
<=> 'r1$urlvect$u1'(X1,X2) ) ) ) ) ).
fof(dt_k1_group_1,axiom,
! [X0,X1,X2] :
( ( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
& 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
& 'l1$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'm1$usubset$u1'('k1$ugroup$u1'(X0,X1,X2),'u1$ustruct$u0'(X0)) ) ).
fof(t59_group_2,axiom,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ! [X3] :
( 'm1$ugroup$u2'(X3,X0)
=> ( ( 'r1$urlvect$u1'(X3,X2)
& 'r1$urlvect$u1'(X3,X1) )
=> 'r1$urlvect$u1'(X3,'k1$ugroup$u1'(X0,X1,X2)) ) ) ) ) ) ).
fof(t21_latsubgr,conjecture,
! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'm1$ugroup$u2'(X1,X0)
& 'v1$ugroup$u1'(X1) )
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'u1$ustruct$u0'(X0))
=> ( ( 'r2$uhidden'(X3,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1))
& 'r2$uhidden'(X2,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1)) )
=> 'r2$uhidden'('k1$ugroup$u1'(X0,X2,X3),'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1)) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v3$ugroup$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'm1$ugroup$u2'(X1,X0)
& 'v1$ugroup$u1'(X1) )
=> ! [X2] :
( 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'u1$ustruct$u0'(X0))
=> ( ( 'r2$uhidden'(X3,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1))
& 'r2$uhidden'(X2,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1)) )
=> 'r2$uhidden'('k1$ugroup$u1'(X0,X2,X3),'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1)) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t21_latsubgr]) ).
cnf(c11,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'm1$ugroup$u2'(X2,X0)
| ~ 'r2$uhidden'(X1,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X2))
| 'r1$urlvect$u1'(X2,X1)
| 'v3$ustruct$u0'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'v1$ugroup$u1'(X2)
| ~ 'm1$usubset$u1'(X1,'u1$ustruct$u0'(X0))
| ~ 'v3$ugroup$u1'(X0) ),
inference(clausification,[status(esa)],[t18_latsubgr]) ).
cnf(c12,plain,
( ~ 'v4$ugroup$u1'(X0)
| ~ 'm1$ugroup$u2'(X1,X0)
| ~ 'v1$ugroup$u1'(X1)
| 'r2$uhidden'(X2,'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1))
| 'v3$ustruct$u0'(X0)
| ~ 'l1$ugroup$u1'(X0)
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X0))
| ~ 'r1$urlvect$u1'(X1,X2)
| ~ 'v3$ugroup$u1'(X0) ),
inference(clausification,[status(esa)],[t18_latsubgr]) ).
cnf(c360,plain,
( ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))
| 'm1$usubset$u1'('k1$ugroup$u1'(X1,X2,X0),'u1$ustruct$u0'(X1))
| ~ 'l1$ugroup$u1'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'm1$usubset$u1'(X0,'u1$ustruct$u0'(X1)) ),
inference(clausification,[status(esa)],[dt_k1_group_1]) ).
cnf(c393,plain,
( 'r1$urlvect$u1'(X0,'k1$ugroup$u1'(X1,X3,X2))
| ~ 'r1$urlvect$u1'(X0,X3)
| 'v3$ustruct$u0'(X1)
| ~ 'v3$ugroup$u1'(X1)
| ~ 'm1$usubset$u1'(X3,'u1$ustruct$u0'(X1))
| ~ 'm1$usubset$u1'(X2,'u1$ustruct$u0'(X1))
| ~ 'r1$urlvect$u1'(X0,X2)
| ~ 'l1$ugroup$u1'(X1)
| ~ 'v4$ugroup$u1'(X1)
| ~ 'm1$ugroup$u2'(X0,X1) ),
inference(clausification,[status(esa)],[t59_group_2]) ).
cnf(c437,plain,
~ 'v3$ustruct$u0'(sK619),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c438,plain,
'v3$ugroup$u1'(sK619),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c439,plain,
'v4$ugroup$u1'(sK619),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c440,plain,
'l1$ugroup$u1'(sK619),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c441,plain,
'v1$ugroup$u1'(sK620),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c442,plain,
'm1$ugroup$u2'(sK620,sK619),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c443,plain,
'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c444,plain,
'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c445,plain,
'r2$uhidden'(sK621,'k1$ufunct$u1'('k1$ulatsubgr'(sK619),sK620)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c446,plain,
'r2$uhidden'(sK622,'k1$ufunct$u1'('k1$ulatsubgr'(sK619),sK620)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c447,plain,
~ 'r2$uhidden'('k1$ugroup$u1'(sK619,sK621,sK622),'k1$ufunct$u1'('k1$ulatsubgr'(sK619),sK620)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| 'v3$ustruct$u0'(sK619)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c12,c447]) ).
cnf(d1,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c437,d0]) ).
cnf(d2,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c438,d1]) ).
cnf(d3,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c439,d2]) ).
cnf(d4,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620) ),
inference(resolution,[status(thm)],[c440,d3]) ).
cnf(d5,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619) ),
inference(resolution,[status(thm)],[c441,d4]) ).
cnf(d6,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'('k1$ugroup$u1'(sK619,sK621,sK622),'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c442,d5]) ).
cnf(d7,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| 'v3$ustruct$u0'(sK619)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c360,d6]) ).
cnf(d8,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c437,d7]) ).
cnf(d9,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c440,d8]) ).
cnf(d10,plain,
( ~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622))
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c443,d9]) ).
cnf(d11,plain,
~ 'r1$urlvect$u1'(sK620,'k1$ugroup$u1'(sK619,sK621,sK622)),
inference(resolution,[status(thm)],[c444,d10]) ).
cnf(d12,plain,
( ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| 'v3$ustruct$u0'(sK619)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c393,d11]) ).
cnf(d13,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c437,d12]) ).
cnf(d14,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c438,d13]) ).
cnf(d15,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c439,d14]) ).
cnf(d16,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619) ),
inference(resolution,[status(thm)],[c440,d15]) ).
cnf(d17,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c442,d16]) ).
cnf(d18,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c443,d17]) ).
cnf(d19,plain,
( ~ 'r1$urlvect$u1'(sK620,sK622)
| ~ 'r1$urlvect$u1'(sK620,sK621) ),
inference(resolution,[status(thm)],[c444,d18]) ).
cnf(d20,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| 'v3$ustruct$u0'(sK619)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c11,c446]) ).
cnf(d21,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c437,d20]) ).
cnf(d22,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c438,d21]) ).
cnf(d23,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c439,d22]) ).
cnf(d24,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620) ),
inference(resolution,[status(thm)],[c440,d23]) ).
cnf(d25,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619) ),
inference(resolution,[status(thm)],[c441,d24]) ).
cnf(d26,plain,
( 'r1$urlvect$u1'(sK620,sK622)
| ~ 'm1$usubset$u1'(sK622,'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c442,d25]) ).
cnf(d27,plain,
'r1$urlvect$u1'(sK620,sK622),
inference(resolution,[status(thm)],[c444,d26]) ).
cnf(d28,plain,
~ 'r1$urlvect$u1'(sK620,sK621),
inference(resolution,[status(thm)],[d27,d19]) ).
cnf(d29,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| 'v3$ustruct$u0'(sK619)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c11,c445]) ).
cnf(d30,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619)
| ~ 'v3$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c437,d29]) ).
cnf(d31,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'v4$ugroup$u1'(sK619)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c438,d30]) ).
cnf(d32,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620)
| ~ 'l1$ugroup$u1'(sK619) ),
inference(resolution,[status(thm)],[c439,d31]) ).
cnf(d33,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619)
| ~ 'v1$ugroup$u1'(sK620) ),
inference(resolution,[status(thm)],[c440,d32]) ).
cnf(d34,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619))
| ~ 'm1$ugroup$u2'(sK620,sK619) ),
inference(resolution,[status(thm)],[c441,d33]) ).
cnf(d35,plain,
( 'r1$urlvect$u1'(sK620,sK621)
| ~ 'm1$usubset$u1'(sK621,'u1$ustruct$u0'(sK619)) ),
inference(resolution,[status(thm)],[c442,d34]) ).
cnf(d36,plain,
'r1$urlvect$u1'(sK620,sK621),
inference(resolution,[status(thm)],[c443,d35]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[d36,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP643+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 : n017.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 : Fri Sep 25 15:15:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.62/13.09 % SZS status Theorem for theBenchmark.p
% 14.62/13.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------