%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG219+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 : n026.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 06:48:07 AM UTC 2026
% Result : Theorem 9.73s 3.14s
% Output : CNFRefutation 9.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 10
% Syntax : Number of formulae : 118 ( 34 unt; 0 def)
% Number of atoms : 1007 ( 99 equ)
% Maximal formula atoms : 26 ( 8 avg)
% Number of connectives : 1581 ( 692 ~; 776 |; 91 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 59 ( 1 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(abstractness_v3_vectsp_2,axiom,
! [X0,X1] :
( ( 'l1$uvectsp$u2'(X1,X0)
& 'l1$ustruct$u0'(X0) )
=> ( 'v3$uvectsp$u2'(X1,X0)
=> X1 = 'g1$uvectsp$u2'(X0,'u1$ustruct$u0'(X1),'u1$urlvect$u1'(X1),'u2$ustruct$u0'(X1),'u1$uvectsp$u2'(X0,X1)) ) ) ).
fof(d4_rmod_2,axiom,
! [X0] :
( ( 'l3$uvectsp$u1'(X0)
& 'v8$uvectsp$u1'(X0)
& 'v7$uvectsp$u1'(X0)
& 'v6$uvectsp$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v6$urlvect$u1'(X0)
& 'v5$urlvect$u1'(X0)
& 'v4$urlvect$u1'(X0)
& 'v3$urlvect$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'l1$uvectsp$u2'(X1,X0)
& 'v5$uvectsp$u2'(X1,X0)
& 'v6$urlvect$u1'(X1)
& 'v5$urlvect$u1'(X1)
& 'v4$urlvect$u1'(X1)
& 'v3$urlvect$u1'(X1)
& ~ 'v3$ustruct$u0'(X1) )
=> 'k2$urmod$u2'(X0,X1) = 'g1$uvectsp$u2'(X0,'u1$ustruct$u0'(X1),'u1$urlvect$u1'(X1),'u2$ustruct$u0'(X1),'u1$uvectsp$u2'(X0,X1)) ) ) ).
fof(dt_k2_rmod_2,axiom,
! [X0,X1] :
( ( 'l1$uvectsp$u2'(X1,X0)
& 'v5$uvectsp$u2'(X1,X0)
& 'v6$urlvect$u1'(X1)
& 'v5$urlvect$u1'(X1)
& 'v4$urlvect$u1'(X1)
& 'v3$urlvect$u1'(X1)
& ~ 'v3$ustruct$u0'(X1)
& 'l3$uvectsp$u1'(X0)
& 'v8$uvectsp$u1'(X0)
& 'v7$uvectsp$u1'(X0)
& 'v6$uvectsp$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v6$urlvect$u1'(X0)
& 'v5$urlvect$u1'(X0)
& 'v4$urlvect$u1'(X0)
& 'v3$urlvect$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ( 'm1$urmod$u2'('k2$urmod$u2'(X0,X1),X0,X1)
& 'v3$uvectsp$u2'('k2$urmod$u2'(X0,X1),X0) ) ) ).
fof(dt_l1_rlvect_1,axiom,
! [X0] :
( 'l1$urlvect$u1'(X0)
=> 'l2$ustruct$u0'(X0) ) ).
fof(dt_l2_struct_0,axiom,
! [X0] :
( 'l2$ustruct$u0'(X0)
=> 'l1$ustruct$u0'(X0) ) ).
fof(dt_l3_vectsp_1,axiom,
! [X0] :
( 'l3$uvectsp$u1'(X0)
=> ( 'l2$uvectsp$u1'(X0)
& 'l1$urlvect$u1'(X0) ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : 'r1$utarski'(X0,X0) ).
fof(t13_rmod_5,axiom,
! [X0] :
( ( 'l3$uvectsp$u1'(X0)
& 'v2$uvectsp$u2'(X0)
& ~ 'v10$uvectsp$u1'(X0)
& 'v8$uvectsp$u1'(X0)
& 'v7$uvectsp$u1'(X0)
& 'v6$uvectsp$u1'(X0)
& 'v7$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v6$urlvect$u1'(X0)
& 'v5$urlvect$u1'(X0)
& 'v4$urlvect$u1'(X0)
& 'v3$urlvect$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'l1$uvectsp$u2'(X1,X0)
& 'v5$uvectsp$u2'(X1,X0)
& 'v6$urlvect$u1'(X1)
& 'v5$urlvect$u1'(X1)
& 'v4$urlvect$u1'(X1)
& 'v3$urlvect$u1'(X1)
& ~ 'v3$ustruct$u0'(X1) )
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
=> ! [X3] :
( ( 'm1$urmod$u2'(X3,X0,X1)
& 'v3$uvectsp$u2'(X3,X0) )
=> ( X2 = 'u1$ustruct$u0'(X3)
=> ( 'k1$urmod$u5'(X0,X1,X2) = X3
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ) ) ) ) ) ) ).
fof(t3_subset,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1))
<=> 'r1$utarski'(X0,X1) ) ).
fof(t14_rmod_5,conjecture,
! [X0] :
( ( 'l3$uvectsp$u1'(X0)
& 'v2$uvectsp$u2'(X0)
& ~ 'v10$uvectsp$u1'(X0)
& 'v8$uvectsp$u1'(X0)
& 'v7$uvectsp$u1'(X0)
& 'v6$uvectsp$u1'(X0)
& 'v7$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v6$urlvect$u1'(X0)
& 'v5$urlvect$u1'(X0)
& 'v4$urlvect$u1'(X0)
& 'v3$urlvect$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'l1$uvectsp$u2'(X1,X0)
& 'v5$uvectsp$u2'(X1,X0)
& 'v3$uvectsp$u2'(X1,X0)
& 'v6$urlvect$u1'(X1)
& 'v5$urlvect$u1'(X1)
& 'v4$urlvect$u1'(X1)
& 'v3$urlvect$u1'(X1)
& ~ 'v3$ustruct$u0'(X1) )
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
=> ( X2 = 'u1$ustruct$u0'(X1)
=> ( 'k1$urmod$u5'(X0,X1,X2) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l3$uvectsp$u1'(X0)
& 'v2$uvectsp$u2'(X0)
& ~ 'v10$uvectsp$u1'(X0)
& 'v8$uvectsp$u1'(X0)
& 'v7$uvectsp$u1'(X0)
& 'v6$uvectsp$u1'(X0)
& 'v7$ugroup$u1'(X0)
& 'v4$ugroup$u1'(X0)
& 'v6$urlvect$u1'(X0)
& 'v5$urlvect$u1'(X0)
& 'v4$urlvect$u1'(X0)
& 'v3$urlvect$u1'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( ( 'l1$uvectsp$u2'(X1,X0)
& 'v5$uvectsp$u2'(X1,X0)
& 'v3$uvectsp$u2'(X1,X0)
& 'v6$urlvect$u1'(X1)
& 'v5$urlvect$u1'(X1)
& 'v4$urlvect$u1'(X1)
& 'v3$urlvect$u1'(X1)
& ~ 'v3$ustruct$u0'(X1) )
=> ! [X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
=> ( X2 = 'u1$ustruct$u0'(X1)
=> ( 'k1$urmod$u5'(X0,X1,X2) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t14_rmod_5]) ).
cnf(c0,plain,
( X1 = 'g1$uvectsp$u2'(X0,'u1$ustruct$u0'(X1),'u1$urlvect$u1'(X1),'u2$ustruct$u0'(X1),'u1$uvectsp$u2'(X0,X1))
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(X1,X0)
| ~ 'l1$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[abstractness_v3_vectsp_2]) ).
cnf(c11,plain,
( ~ 'l1$uvectsp$u2'(X0,X1)
| ~ 'v8$uvectsp$u1'(X1)
| ~ 'v3$urlvect$u1'(X0)
| 'k2$urmod$u2'(X1,X0) = 'g1$uvectsp$u2'(X1,'u1$ustruct$u0'(X0),'u1$urlvect$u1'(X0),'u2$ustruct$u0'(X0),'u1$uvectsp$u2'(X1,X0))
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v4$urlvect$u1'(X1)
| ~ 'v7$uvectsp$u1'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X1)
| ~ 'v6$urlvect$u1'(X1)
| ~ 'l3$uvectsp$u1'(X1)
| ~ 'v5$urlvect$u1'(X1)
| ~ 'v3$urlvect$u1'(X1)
| ~ 'v6$uvectsp$u1'(X1)
| ~ 'v5$uvectsp$u2'(X0,X1)
| 'v3$ustruct$u0'(X0)
| ~ 'v6$urlvect$u1'(X0) ),
inference(clausification,[status(esa)],[d4_rmod_2]) ).
cnf(c19,plain,
( ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'l1$uvectsp$u2'(X0,X1)
| 'v3$ustruct$u0'(X0)
| ~ 'v4$urlvect$u1'(X1)
| ~ 'v7$uvectsp$u1'(X1)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X1)
| ~ 'v6$uvectsp$u1'(X1)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'v3$urlvect$u1'(X1)
| ~ 'v4$ugroup$u1'(X1)
| ~ 'v5$urlvect$u1'(X1)
| 'm1$urmod$u2'('k2$urmod$u2'(X1,X0),X1,X0)
| ~ 'l3$uvectsp$u1'(X1)
| 'v3$ustruct$u0'(X1)
| ~ 'v8$uvectsp$u1'(X1)
| ~ 'v5$uvectsp$u2'(X0,X1) ),
inference(clausification,[status(esa)],[dt_k2_rmod_2]) ).
cnf(c21,plain,
( 'l2$ustruct$u0'(X0)
| ~ 'l1$urlvect$u1'(X0) ),
inference(clausification,[status(esa)],[dt_l1_rlvect_1]) ).
cnf(c24,plain,
( 'l1$ustruct$u0'(X0)
| ~ 'l2$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_l2_struct_0]) ).
cnf(c27,plain,
( 'l1$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0) ),
inference(clausification,[status(esa)],[dt_l3_vectsp_1]) ).
cnf(c113,plain,
'r1$utarski'(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(c114,plain,
( ~ 'v3$uvectsp$u2'(X2,X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'v4$urlvect$u1'(X3)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v5$uvectsp$u2'(X3,X0)
| ~ 'v6$uvectsp$u1'(X0)
| ~ 'm1$urmod$u2'(X2,X0,X3)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v6$urlvect$u1'(X3)
| 'k1$urmod$u5'(X0,X3,X1) = X2
| ~ 'l1$uvectsp$u2'(X3,X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v5$urlvect$u1'(X3)
| ~ 'v5$urlvect$u1'(X0)
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0)
| ~ 'v3$urlvect$u1'(X3)
| 'v10$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X3)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X3)))
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'v4$urlvect$u1'(X0)
| X1 != 'u1$ustruct$u0'(X2)
| ~ 'v6$urlvect$u1'(X0) ),
inference(clausification,[status(esa)],[t13_rmod_5]) ).
cnf(c118,plain,
( ~ 'r1$utarski'(X0,X1)
| 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t3_subset]) ).
cnf(c124,plain,
~ 'v3$ustruct$u0'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c125,plain,
'v3$urlvect$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c126,plain,
'v4$urlvect$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c127,plain,
'v5$urlvect$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c128,plain,
'v6$urlvect$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c129,plain,
'v4$ugroup$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c130,plain,
'v7$ugroup$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c131,plain,
'v6$uvectsp$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c132,plain,
'v7$uvectsp$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c133,plain,
'v8$uvectsp$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c134,plain,
~ 'v10$uvectsp$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c135,plain,
'v2$uvectsp$u2'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c136,plain,
'l3$uvectsp$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c137,plain,
~ 'v3$ustruct$u0'(sK133),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c138,plain,
'v3$urlvect$u1'(sK133),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c139,plain,
'v4$urlvect$u1'(sK133),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c140,plain,
'v5$urlvect$u1'(sK133),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c141,plain,
'v6$urlvect$u1'(sK133),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c142,plain,
'v3$uvectsp$u2'(sK133,sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c143,plain,
'v5$uvectsp$u2'(sK133,sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c144,plain,
'l1$uvectsp$u2'(sK133,sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c146,plain,
sK134 = 'u1$ustruct$u0'(sK133),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c147,plain,
'k1$urlvect$u1'(sK132) != 'k2$ugroup$u1'(sK132),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c148,plain,
'k1$urmod$u5'(sK132,sK133,sK134) != sK133,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'l1$ustruct$u0'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| sK133 = 'g1$uvectsp$u2'(sK132,'u1$ustruct$u0'(sK133),'u1$urlvect$u1'(sK133),'u2$ustruct$u0'(sK133),'u1$uvectsp$u2'(sK132,sK133)) ),
inference(resolution,[status(thm)],[c142,c0]) ).
cnf(d1,plain,
( ~ 'l1$ustruct$u0'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| sK133 = 'g1$uvectsp$u2'(sK132,sK134,'u1$urlvect$u1'(sK133),'u2$ustruct$u0'(sK133),'u1$uvectsp$u2'(sK132,sK133)) ),
inference(demodulation,[status(thm)],[d0,c146]) ).
cnf(d2,plain,
( ~ 'l1$ustruct$u0'(sK132)
| sK133 = 'g1$uvectsp$u2'(sK132,sK134,'u1$urlvect$u1'(sK133),'u2$ustruct$u0'(sK133),'u1$uvectsp$u2'(sK132,sK133)) ),
inference(resolution,[status(thm)],[c144,d1]) ).
cnf(d3,plain,
'l1$urlvect$u1'(sK132),
inference(resolution,[status(thm)],[c27,c136]) ).
cnf(d4,plain,
'l2$ustruct$u0'(sK132),
inference(resolution,[status(thm)],[d3,c21]) ).
cnf(d5,plain,
'l1$ustruct$u0'(sK132),
inference(resolution,[status(thm)],[d4,c24]) ).
cnf(d6,plain,
sK133 = 'g1$uvectsp$u2'(sK132,sK134,'u1$urlvect$u1'(sK133),'u2$ustruct$u0'(sK133),'u1$uvectsp$u2'(sK132,sK133)),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = 'g1$uvectsp$u2'(sK132,'u1$ustruct$u0'(sK133),'u1$urlvect$u1'(sK133),'u2$ustruct$u0'(sK133),'u1$uvectsp$u2'(sK132,sK133)) ),
inference(resolution,[status(thm)],[c143,c11]) ).
cnf(d8,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| 'v3$ustruct$u0'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = 'g1$uvectsp$u2'(sK132,sK134,'u1$urlvect$u1'(sK133),'u2$ustruct$u0'(sK133),'u1$uvectsp$u2'(sK132,sK133)) ),
inference(demodulation,[status(thm)],[d7,c146]) ).
cnf(d9,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| 'v3$ustruct$u0'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(demodulation,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c124,d9]) ).
cnf(d11,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c125,d10]) ).
cnf(d12,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c126,d11]) ).
cnf(d13,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c127,d12]) ).
cnf(d14,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c128,d13]) ).
cnf(d15,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c129,d14]) ).
cnf(d16,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c131,d15]) ).
cnf(d17,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c132,d16]) ).
cnf(d18,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c133,d17]) ).
cnf(d19,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| 'v3$ustruct$u0'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c136,d18]) ).
cnf(d20,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c137,d19]) ).
cnf(d21,plain,
( ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c138,d20]) ).
cnf(d22,plain,
( ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c139,d21]) ).
cnf(d23,plain,
( ~ 'v6$urlvect$u1'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c140,d22]) ).
cnf(d24,plain,
( ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k2$urmod$u2'(sK132,sK133) = sK133 ),
inference(resolution,[status(thm)],[c141,d23]) ).
cnf(d25,plain,
'k2$urmod$u2'(sK132,sK133) = sK133,
inference(resolution,[status(thm)],[c144,d24]) ).
cnf(d26,plain,
( ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'm1$urmod$u2'(sK133,sK132,sK133) ),
inference(superposition,[status(thm)],[d25,c19]) ).
cnf(d27,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c124,d26]) ).
cnf(d28,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c125,d27]) ).
cnf(d29,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c126,d28]) ).
cnf(d30,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c127,d29]) ).
cnf(d31,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c128,d30]) ).
cnf(d32,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c129,d31]) ).
cnf(d33,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c131,d32]) ).
cnf(d34,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c132,d33]) ).
cnf(d35,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c133,d34]) ).
cnf(d36,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| 'v3$ustruct$u0'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c136,d35]) ).
cnf(d37,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c137,d36]) ).
cnf(d38,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c138,d37]) ).
cnf(d39,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c139,d38]) ).
cnf(d40,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c140,d39]) ).
cnf(d41,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c141,d40]) ).
cnf(d42,plain,
( 'm1$urmod$u2'(sK133,sK132,sK133)
| ~ 'l1$uvectsp$u2'(sK133,sK132) ),
inference(resolution,[status(thm)],[c143,d41]) ).
cnf(d43,plain,
'm1$urmod$u2'(sK133,sK132,sK133),
inference(resolution,[status(thm)],[c144,d42]) ).
cnf(d44,plain,
( ~ 'm1$urmod$u2'(X2,X0,X1)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$urlvect$u1'(X1)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v5$urlvect$u1'(X1)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X1)
| ~ 'v5$uvectsp$u2'(X1,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'v3$urlvect$u1'(X1)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X1)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X2),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
| ~ 'v3$uvectsp$u2'(X2,X0)
| ~ 'l1$uvectsp$u2'(X1,X0)
| 'k1$urmod$u5'(X0,X1,'u1$ustruct$u0'(X2)) = X2
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(equality_resolution,[status(thm)],[c114]) ).
cnf(d45,plain,
( ~ 'm1$urmod$u2'(X0,X1,sK133)
| 'v10$uvectsp$u1'(X1)
| ~ 'v2$uvectsp$u2'(X1)
| ~ 'v4$urlvect$u1'(X1)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$ugroup$u1'(X1)
| ~ 'v5$urlvect$u1'(X1)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(X1)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v5$uvectsp$u2'(sK133,X1)
| ~ 'v3$urlvect$u1'(X1)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'l3$uvectsp$u1'(X1)
| ~ 'v7$uvectsp$u1'(X1)
| ~ 'v6$uvectsp$u1'(X1)
| 'v3$ustruct$u0'(X1)
| 'v3$ustruct$u0'(sK133)
| ~ 'v7$ugroup$u1'(X1)
| ~ 'v8$uvectsp$u1'(X1)
| ~ 'v3$uvectsp$u2'(X0,X1)
| ~ 'l1$uvectsp$u2'(sK133,X1)
| 'k1$urmod$u5'(X1,sK133,'u1$ustruct$u0'(X0)) = X0
| 'k1$urlvect$u1'(X1) = 'k2$ugroup$u1'(X1)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X0),'k1$uzfmisc$u1'(sK134)) ),
inference(superposition,[status(thm)],[c146,d44]) ).
cnf(d46,plain,
( ~ 'm1$urmod$u2'(X1,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(sK133)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X1),'k1$uzfmisc$u1'(sK134))
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(X1)) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c137,d45]) ).
cnf(d47,plain,
( ~ 'm1$urmod$u2'(X1,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(sK133)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X1),'k1$uzfmisc$u1'(sK134))
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(X1)) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c138,d46]) ).
cnf(d48,plain,
( ~ 'm1$urmod$u2'(X1,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(sK133)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X1),'k1$uzfmisc$u1'(sK134))
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(X1)) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c139,d47]) ).
cnf(d49,plain,
( ~ 'm1$urmod$u2'(X1,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(sK133)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X1),'k1$uzfmisc$u1'(sK134))
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(X1)) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c140,d48]) ).
cnf(d50,plain,
( ~ 'm1$urmod$u2'(X1,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'm1$usubset$u1'('u1$ustruct$u0'(X1),'k1$uzfmisc$u1'(sK134))
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(X1)) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c141,d49]) ).
cnf(d51,plain,
( ~ 'r1$utarski'('u1$ustruct$u0'(X1),sK134)
| ~ 'm1$urmod$u2'(X1,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'v3$uvectsp$u2'(X1,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(X1)) = X1
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[d50,c118]) ).
cnf(d52,plain,
( ~ 'm1$urmod$u2'(sK133,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'v3$uvectsp$u2'(sK133,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,'u1$ustruct$u0'(sK133)) = sK133
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0)
| ~ 'r1$utarski'(sK134,sK134) ),
inference(superposition,[status(thm)],[c146,d51]) ).
cnf(d53,plain,
( ~ 'r1$utarski'(sK134,sK134)
| ~ 'm1$urmod$u2'(sK133,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'v3$uvectsp$u2'(sK133,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,sK134) = sK133
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(demodulation,[status(thm)],[d52,c146]) ).
cnf(d54,plain,
( ~ 'm1$urmod$u2'(sK133,X0,sK133)
| 'v10$uvectsp$u1'(X0)
| ~ 'v2$uvectsp$u2'(X0)
| ~ 'v4$urlvect$u1'(X0)
| ~ 'v4$ugroup$u1'(X0)
| ~ 'v5$urlvect$u1'(X0)
| ~ 'v6$urlvect$u1'(X0)
| ~ 'v5$uvectsp$u2'(sK133,X0)
| ~ 'v3$urlvect$u1'(X0)
| ~ 'l3$uvectsp$u1'(X0)
| ~ 'v7$uvectsp$u1'(X0)
| ~ 'v6$uvectsp$u1'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v7$ugroup$u1'(X0)
| ~ 'v8$uvectsp$u1'(X0)
| ~ 'v3$uvectsp$u2'(sK133,X0)
| ~ 'l1$uvectsp$u2'(sK133,X0)
| 'k1$urmod$u5'(X0,sK133,sK134) = sK133
| 'k1$urlvect$u1'(X0) = 'k2$ugroup$u1'(X0) ),
inference(resolution,[status(thm)],[c113,d53]) ).
cnf(d55,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| 'v3$ustruct$u0'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[d54,d43]) ).
cnf(d56,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$urlvect$u1'(sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c124,d55]) ).
cnf(d57,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v4$urlvect$u1'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c125,d56]) ).
cnf(d58,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$urlvect$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c126,d57]) ).
cnf(d59,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v6$urlvect$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c127,d58]) ).
cnf(d60,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v4$ugroup$u1'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c128,d59]) ).
cnf(d61,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v7$ugroup$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c129,d60]) ).
cnf(d62,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v6$uvectsp$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c130,d61]) ).
cnf(d63,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v7$uvectsp$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c131,d62]) ).
cnf(d64,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v8$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c132,d63]) ).
cnf(d65,plain,
( 'v10$uvectsp$u1'(sK132)
| ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c133,d64]) ).
cnf(d66,plain,
( ~ 'v2$uvectsp$u2'(sK132)
| ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c134,d65]) ).
cnf(d67,plain,
( ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l3$uvectsp$u1'(sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c135,d66]) ).
cnf(d68,plain,
( ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'v3$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c136,d67]) ).
cnf(d69,plain,
( ~ 'v5$uvectsp$u2'(sK133,sK132)
| ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c142,d68]) ).
cnf(d70,plain,
( ~ 'l1$uvectsp$u2'(sK133,sK132)
| 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c143,d69]) ).
cnf(d71,plain,
( 'k1$urmod$u5'(sK132,sK133,sK134) = sK133
| 'k1$urlvect$u1'(sK132) = 'k2$ugroup$u1'(sK132) ),
inference(resolution,[status(thm)],[c144,d70]) ).
cnf(d72,plain,
'k1$urmod$u5'(sK132,sK133,sK134) = sK133,
inference(resolution,[status(thm)],[c147,d71]) ).
cnf(d73,plain,
$false,
inference(resolution,[status(thm)],[c148,d72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG219+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
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 21:32:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.73/3.14 % SZS status Theorem for theBenchmark.p
% 9.73/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------