%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT345+1 : 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 : n016.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 07:48:24 AM UTC 2026
% Result : Theorem 45.89s 21.68s
% Output : CNFRefutation 45.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 19
% Syntax : Number of formulae : 197 ( 41 unt; 0 def)
% Number of atoms : 611 ( 160 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 684 ( 270 ~; 351 |; 35 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 168 ( 10 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(abstractness_v4_conlat_1,axiom,
! [X0] :
( 'l2$uconlat$u1'(X0)
=> ( 'v4$uconlat$u1'(X0)
=> X0 = 'g2$uconlat$u1'('u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0),'u3$uconlat$u1'(X0)) ) ) ).
fof(abstractness_v6_conlat_1,axiom,
! [X0,X1] :
( ( 'l3$uconlat$u1'(X1,X0)
& 'l1$uconlat$u1'(X0) )
=> ( 'v6$uconlat$u1'(X1,X0)
=> X1 = 'g3$uconlat$u1'(X0,'u4$uconlat$u1'(X0,X1),'u5$uconlat$u1'(X0,X1)) ) ) ).
fof(cc1_relset_1,axiom,
! [X0,X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
=> 'v1$urelat$u1'(X2) ) ).
fof(d7_conlat_2,axiom,
! [X0] :
( ( 'l2$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> 'k7$uconlat$u2'(X0) = 'g2$uconlat$u1'('u2$uconlat$u1'(X0),'u1$uconlat$u1'(X0),'k6$urelset$u1'('u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0),'u3$uconlat$u1'(X0))) ) ).
fof(d8_conlat_2,axiom,
! [X0] :
( ( 'l2$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> ! [X1] :
( 'l3$uconlat$u1'(X1,X0)
=> ! [X2] :
( ( 'l3$uconlat$u1'(X2,'k7$uconlat$u2'(X0))
& 'v6$uconlat$u1'(X2,'k7$uconlat$u2'(X0)) )
=> ( X2 = 'k8$uconlat$u2'(X0,X1)
<=> ( 'u5$uconlat$u1'('k7$uconlat$u2'(X0),X2) = 'u4$uconlat$u1'(X0,X1)
& 'u4$uconlat$u1'('k7$uconlat$u2'(X0),X2) = 'u5$uconlat$u1'(X0,X1) ) ) ) ) ) ).
fof(dt_g2_conlat_1,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> ( 'l2$uconlat$u1'('g2$uconlat$u1'(X0,X1,X2))
& 'v4$uconlat$u1'('g2$uconlat$u1'(X0,X1,X2)) ) ) ).
fof(dt_k6_relset_1,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> 'm2$urelset$u1'('k6$urelset$u1'(X0,X1,X2),X1,X0) ) ).
fof(dt_k7_conlat_2,axiom,
! [X0] :
( ( 'l2$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> ( 'l2$uconlat$u1'('k7$uconlat$u2'(X0))
& 'v4$uconlat$u1'('k7$uconlat$u2'(X0))
& ~ 'v3$uconlat$u1'('k7$uconlat$u2'(X0)) ) ) ).
fof(dt_k8_conlat_2,axiom,
! [X0,X1] :
( ( 'l3$uconlat$u1'(X1,X0)
& 'l2$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> ( 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
& 'v6$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0)) ) ) ).
fof(dt_k9_conlat_2,axiom,
! [X0,X1] :
( ( 'l3$uconlat$u1'(X1,X0)
& 'v9$uconlat$u1'(X1,X0)
& ~ 'v7$uconlat$u1'(X1,X0)
& 'l2$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> ( 'l3$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
& 'v9$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
& ~ 'v7$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
& 'v6$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0)) ) ) ).
fof(dt_l2_conlat_1,axiom,
! [X0] :
( 'l2$uconlat$u1'(X0)
=> 'l1$uconlat$u1'(X0) ) ).
fof(dt_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
=> 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) ) ).
fof(dt_u3_conlat_1,axiom,
! [X0] :
( 'l2$uconlat$u1'(X0)
=> 'm2$urelset$u1'('u3$uconlat$u1'(X0),'u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0)) ) ).
fof(free_g2_conlat_1,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> ! [X3,X4,X5] :
( 'g2$uconlat$u1'(X0,X1,X2) = 'g2$uconlat$u1'(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ) ).
fof(involutiveness_k4_relat_1,axiom,
! [X0] :
( 'v1$urelat$u1'(X0)
=> 'k4$urelat$u1'('k4$urelat$u1'(X0)) = X0 ) ).
fof(redefinition_k6_relset_1,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> 'k6$urelset$u1'(X0,X1,X2) = 'k4$urelat$u1'(X2) ) ).
fof(redefinition_k9_conlat_2,axiom,
! [X0,X1] :
( ( 'l3$uconlat$u1'(X1,X0)
& 'v9$uconlat$u1'(X1,X0)
& ~ 'v7$uconlat$u1'(X1,X0)
& 'l2$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> 'k9$uconlat$u2'(X0,X1) = 'k8$uconlat$u2'(X0,X1) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(t20_conlat_2,conjecture,
! [X0] :
( ( 'l2$uconlat$u1'(X0)
& 'v4$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> ! [X1] :
( ( 'l3$uconlat$u1'(X1,X0)
& 'v9$uconlat$u1'(X1,X0)
& ~ 'v7$uconlat$u1'(X1,X0)
& 'v6$uconlat$u1'(X1,X0) )
=> 'k9$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) = X1 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l2$uconlat$u1'(X0)
& 'v4$uconlat$u1'(X0)
& ~ 'v3$uconlat$u1'(X0) )
=> ! [X1] :
( ( 'l3$uconlat$u1'(X1,X0)
& 'v9$uconlat$u1'(X1,X0)
& ~ 'v7$uconlat$u1'(X1,X0)
& 'v6$uconlat$u1'(X1,X0) )
=> 'k9$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) = X1 ) ),
inference(negate_conjecture,[status(cth)],[t20_conlat_2]) ).
cnf(c0,plain,
( X0 = 'g2$uconlat$u1'('u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0),'u3$uconlat$u1'(X0))
| ~ 'v4$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[abstractness_v4_conlat_1]) ).
cnf(c1,plain,
( X1 = 'g3$uconlat$u1'(X0,'u4$uconlat$u1'(X0,X1),'u5$uconlat$u1'(X0,X1))
| ~ 'v6$uconlat$u1'(X1,X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l1$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[abstractness_v6_conlat_1]) ).
cnf(c3,plain,
( 'v1$urelat$u1'(X0)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
inference(clausification,[status(esa)],[cc1_relset_1]) ).
cnf(c5,plain,
( 'k7$uconlat$u2'(X0) = 'g2$uconlat$u1'('u2$uconlat$u1'(X0),'u1$uconlat$u1'(X0),'k6$urelset$u1'('u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0),'u3$uconlat$u1'(X0)))
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[d7_conlat_2]) ).
cnf(c6,plain,
( X1 != 'k8$uconlat$u2'(X0,X2)
| ~ 'l3$uconlat$u1'(X1,'k7$uconlat$u2'(X0))
| 'v3$uconlat$u1'(X0)
| ~ 'v6$uconlat$u1'(X1,'k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X2,X0)
| 'u4$uconlat$u1'('k7$uconlat$u2'(X0),X1) = 'u5$uconlat$u1'(X0,X2) ),
inference(clausification,[status(esa)],[d8_conlat_2]) ).
cnf(c7,plain,
( X2 != 'k8$uconlat$u2'(X1,X0)
| ~ 'l3$uconlat$u1'(X2,'k7$uconlat$u2'(X1))
| 'v3$uconlat$u1'(X1)
| ~ 'v6$uconlat$u1'(X2,'k7$uconlat$u2'(X1))
| 'u5$uconlat$u1'('k7$uconlat$u2'(X1),X2) = 'u4$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X1)
| ~ 'l3$uconlat$u1'(X0,X1) ),
inference(clausification,[status(esa)],[d8_conlat_2]) ).
cnf(c9,plain,
( 'v4$uconlat$u1'('g2$uconlat$u1'(X1,X2,X0))
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_g2_conlat_1]) ).
cnf(c10,plain,
( 'l2$uconlat$u1'('g2$uconlat$u1'(X1,X2,X0))
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_g2_conlat_1]) ).
cnf(c14,plain,
( 'm2$urelset$u1'('k6$urelset$u1'(X1,X2,X0),X2,X1)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_k6_relset_1]) ).
cnf(c15,plain,
( ~ 'v3$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k7_conlat_2]) ).
cnf(c16,plain,
( 'v4$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k7_conlat_2]) ).
cnf(c17,plain,
( 'l2$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k7_conlat_2]) ).
cnf(c18,plain,
( 'v6$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k8_conlat_2]) ).
cnf(c19,plain,
( 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_k8_conlat_2]) ).
cnf(c21,plain,
( ~ 'v9$uconlat$u1'(X0,X1)
| ~ 'v7$uconlat$u1'('k9$uconlat$u2'(X1,X0),'k7$uconlat$u2'(X1))
| 'v7$uconlat$u1'(X0,X1)
| ~ 'l2$uconlat$u1'(X1)
| 'v3$uconlat$u1'(X1)
| ~ 'l3$uconlat$u1'(X0,X1) ),
inference(clausification,[status(esa)],[dt_k9_conlat_2]) ).
cnf(c22,plain,
( ~ 'l2$uconlat$u1'(X1)
| 'v9$uconlat$u1'('k9$uconlat$u2'(X1,X0),'k7$uconlat$u2'(X1))
| ~ 'v9$uconlat$u1'(X0,X1)
| 'v7$uconlat$u1'(X0,X1)
| 'v3$uconlat$u1'(X1)
| ~ 'l3$uconlat$u1'(X0,X1) ),
inference(clausification,[status(esa)],[dt_k9_conlat_2]) ).
cnf(c23,plain,
( ~ 'v9$uconlat$u1'(X0,X1)
| 'l3$uconlat$u1'('k9$uconlat$u2'(X1,X0),'k7$uconlat$u2'(X1))
| 'v7$uconlat$u1'(X0,X1)
| ~ 'l2$uconlat$u1'(X1)
| 'v3$uconlat$u1'(X1)
| ~ 'l3$uconlat$u1'(X0,X1) ),
inference(clausification,[status(esa)],[dt_k9_conlat_2]) ).
cnf(c24,plain,
( 'l1$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_l2_conlat_1]) ).
cnf(c25,plain,
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2)))
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_m2_relset_1]) ).
cnf(c26,plain,
( 'm2$urelset$u1'('u3$uconlat$u1'(X0),'u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0))
| ~ 'l2$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[dt_u3_conlat_1]) ).
cnf(c40,plain,
( X1 = X3
| 'g2$uconlat$u1'(X1,X2,X0) != 'g2$uconlat$u1'(X3,X4,X5)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[free_g2_conlat_1]) ).
cnf(c41,plain,
( X2 = X4
| 'g2$uconlat$u1'(X1,X2,X0) != 'g2$uconlat$u1'(X3,X4,X5)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[free_g2_conlat_1]) ).
cnf(c42,plain,
( X0 = X5
| 'g2$uconlat$u1'(X1,X2,X0) != 'g2$uconlat$u1'(X3,X4,X5)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[free_g2_conlat_1]) ).
cnf(c46,plain,
( 'k4$urelat$u1'('k4$urelat$u1'(X0)) = X0
| ~ 'v1$urelat$u1'(X0) ),
inference(clausification,[status(esa)],[involutiveness_k4_relat_1]) ).
cnf(c78,plain,
( 'k6$urelset$u1'(X1,X2,X0) = 'k4$urelat$u1'(X0)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k6_relset_1]) ).
cnf(c79,plain,
( 'v7$uconlat$u1'(X1,X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'v9$uconlat$u1'(X1,X0)
| 'k9$uconlat$u2'(X0,X1) = 'k8$uconlat$u2'(X0,X1)
| 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(clausification,[status(esa)],[redefinition_k9_conlat_2]) ).
cnf(c80,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c92,plain,
~ 'v3$uconlat$u1'(sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c93,plain,
'v4$uconlat$u1'(sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c94,plain,
'l2$uconlat$u1'(sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c95,plain,
'v6$uconlat$u1'(sK121,sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c96,plain,
~ 'v7$uconlat$u1'(sK121,sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c97,plain,
'v9$uconlat$u1'(sK121,sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c98,plain,
'l3$uconlat$u1'(sK121,sK120),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c99,plain,
'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) != sK121,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'l1$uconlat$u1'(sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| sK121 = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,sK121),'u5$uconlat$u1'(sK120,sK121)) ),
inference(resolution,[status(thm)],[c95,c1]) ).
cnf(d1,plain,
( ~ 'l1$uconlat$u1'(sK120)
| sK121 = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,sK121),'u5$uconlat$u1'(sK120,sK121)) ),
inference(resolution,[status(thm)],[c98,d0]) ).
cnf(d2,plain,
'l1$uconlat$u1'(sK120),
inference(resolution,[status(thm)],[c24,c94]) ).
cnf(d3,plain,
sK121 = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,sK121),'u5$uconlat$u1'(sK120,sK121)),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| 'v3$uconlat$u1'(sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'k9$uconlat$u2'(sK120,sK121) = 'k8$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c79,c97]) ).
cnf(d5,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'k9$uconlat$u2'(sK120,sK121) = 'k8$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c92,d4]) ).
cnf(d6,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| 'k9$uconlat$u2'(sK120,sK121) = 'k8$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c94,d5]) ).
cnf(d7,plain,
( ~ 'l3$uconlat$u1'(sK121,sK120)
| 'k9$uconlat$u2'(sK120,sK121) = 'k8$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c96,d6]) ).
cnf(d8,plain,
'k9$uconlat$u2'(sK120,sK121) = 'k8$uconlat$u2'(sK120,sK121),
inference(resolution,[status(thm)],[c98,d7]) ).
cnf(d9,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'(sK120)
| 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u5$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(superposition,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
( ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'(sK120)
| 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u5$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c92,d9]) ).
cnf(d11,plain,
( ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u5$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c94,d10]) ).
cnf(d12,plain,
( ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u5$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c98,d11]) ).
cnf(d13,plain,
( ~ 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'u5$uconlat$u1'(sK120,sK121) ),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'l3$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120)) ),
inference(superposition,[status(thm)],[d8,c19]) ).
cnf(d15,plain,
( ~ 'l3$uconlat$u1'(sK121,sK120)
| 'l3$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'(sK120) ),
inference(resolution,[status(thm)],[c92,d14]) ).
cnf(d16,plain,
( ~ 'l3$uconlat$u1'(sK121,sK120)
| 'l3$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120)) ),
inference(resolution,[status(thm)],[c94,d15]) ).
cnf(d17,plain,
'l3$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120)),
inference(resolution,[status(thm)],[c98,d16]) ).
cnf(d18,plain,
( ~ 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'u5$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[d17,d13]) ).
cnf(d19,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120)) ),
inference(superposition,[status(thm)],[d8,c18]) ).
cnf(d20,plain,
( 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120) ),
inference(resolution,[status(thm)],[c92,d19]) ).
cnf(d21,plain,
( 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120) ),
inference(resolution,[status(thm)],[c94,d20]) ).
cnf(d22,plain,
'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120)),
inference(resolution,[status(thm)],[c98,d21]) ).
cnf(d23,plain,
'u4$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'u5$uconlat$u1'(sK120,sK121),
inference(resolution,[status(thm)],[d22,d18]) ).
cnf(d24,plain,
( ~ 'v4$uconlat$u1'(sK120)
| sK120 = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120)) ),
inference(resolution,[status(thm)],[c94,c0]) ).
cnf(d25,plain,
sK120 = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120)),
inference(resolution,[status(thm)],[c93,d24]) ).
cnf(d26,plain,
( 'v1$urelat$u1'(X0)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(resolution,[status(thm)],[c25,c3]) ).
cnf(d27,plain,
( ~ 'l2$uconlat$u1'(X0)
| 'v1$urelat$u1'('u3$uconlat$u1'(X0)) ),
inference(resolution,[status(thm)],[d26,c26]) ).
cnf(d28,plain,
( 'k4$urelat$u1'('k4$urelat$u1'('u3$uconlat$u1'(X0))) = 'u3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(resolution,[status(thm)],[d27,c46]) ).
cnf(d29,plain,
'k4$urelat$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120))) = 'u3$uconlat$u1'(sK120),
inference(resolution,[status(thm)],[d28,c94]) ).
cnf(d30,plain,
( ~ 'l2$uconlat$u1'(X0)
| 'm1$urelset$u1'('u3$uconlat$u1'(X0),'u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0)) ),
inference(resolution,[status(thm)],[c80,c26]) ).
cnf(d31,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'(sK120) = 'g2$uconlat$u1'('u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120))) ),
inference(resolution,[status(thm)],[c5,c94]) ).
cnf(d32,plain,
'k7$uconlat$u2'(sK120) = 'g2$uconlat$u1'('u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120))),
inference(resolution,[status(thm)],[c92,d31]) ).
cnf(d33,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| X0 = 'u2$uconlat$u1'(sK120)
| 'g2$uconlat$u1'(X0,X1,X2) != 'k7$uconlat$u2'(sK120) ),
inference(superposition,[status(thm)],[d32,c40]) ).
cnf(d34,plain,
( ~ 'm1$urelset$u1'('k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120)),'u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120))
| 'l2$uconlat$u1'('k7$uconlat$u2'(sK120)) ),
inference(superposition,[status(thm)],[d32,c10]) ).
cnf(d35,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| 'm1$urelset$u1'('k6$urelset$u1'(X0,X1,X2),X1,X0) ),
inference(resolution,[status(thm)],[c80,c14]) ).
cnf(d36,plain,
( 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'm1$urelset$u1'('u3$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120)) ),
inference(resolution,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
( ~ 'l2$uconlat$u1'(sK120)
| 'l2$uconlat$u1'('k7$uconlat$u2'(sK120)) ),
inference(resolution,[status(thm)],[d36,d30]) ).
cnf(d38,plain,
'l2$uconlat$u1'('k7$uconlat$u2'(sK120)),
inference(resolution,[status(thm)],[c94,d37]) ).
cnf(d39,plain,
( ~ 'v4$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k7$uconlat$u2'(sK120) = 'g2$uconlat$u1'('u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120))) ),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
( ~ 'm1$urelset$u1'('k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120)),'u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120))
| 'v4$uconlat$u1'('k7$uconlat$u2'(sK120)) ),
inference(superposition,[status(thm)],[d32,c9]) ).
cnf(d41,plain,
( 'v4$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'm1$urelset$u1'('u3$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120)) ),
inference(resolution,[status(thm)],[d35,d40]) ).
cnf(d42,plain,
( ~ 'l2$uconlat$u1'(sK120)
| 'v4$uconlat$u1'('k7$uconlat$u2'(sK120)) ),
inference(resolution,[status(thm)],[d41,d30]) ).
cnf(d43,plain,
'v4$uconlat$u1'('k7$uconlat$u2'(sK120)),
inference(resolution,[status(thm)],[c94,d42]) ).
cnf(d44,plain,
'k7$uconlat$u2'(sK120) = 'g2$uconlat$u1'('u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120))),
inference(resolution,[status(thm)],[d43,d39]) ).
cnf(d45,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'u1$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u2$uconlat$u1'(sK120)
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120) ),
inference(superposition,[status(thm)],[d44,d33]) ).
cnf(d46,plain,
( ~ 'v4$uconlat$u1'('k7$uconlat$u2'(X0))
| 'k7$uconlat$u2'(X0) = 'g2$uconlat$u1'('u1$uconlat$u1'('k7$uconlat$u2'(X0)),'u2$uconlat$u1'('k7$uconlat$u2'(X0)),'u3$uconlat$u1'('k7$uconlat$u2'(X0)))
| 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(resolution,[status(thm)],[c17,c0]) ).
cnf(d47,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0)
| 'k7$uconlat$u2'(X0) = 'g2$uconlat$u1'('u1$uconlat$u1'('k7$uconlat$u2'(X0)),'u2$uconlat$u1'('k7$uconlat$u2'(X0)),'u3$uconlat$u1'('k7$uconlat$u2'(X0))) ),
inference(resolution,[status(thm)],[d46,c16]) ).
cnf(d48,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'(sK120) = 'g2$uconlat$u1'('u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120))) ),
inference(resolution,[status(thm)],[d47,c94]) ).
cnf(d49,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'(sK120) = 'k7$uconlat$u2'(sK120) ),
inference(demodulation,[status(thm)],[d48,d44]) ).
cnf(d50,plain,
'k7$uconlat$u2'(sK120) = 'k7$uconlat$u2'(sK120),
inference(resolution,[status(thm)],[c92,d49]) ).
cnf(d51,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'u1$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u2$uconlat$u1'(sK120) ),
inference(resolution,[status(thm)],[d50,d45]) ).
cnf(d52,plain,
( ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u1$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u2$uconlat$u1'(sK120) ),
inference(resolution,[status(thm)],[d51,d30]) ).
cnf(d53,plain,
'u1$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u2$uconlat$u1'(sK120),
inference(resolution,[status(thm)],[d38,d52]) ).
cnf(d54,plain,
( 'k6$urelset$u1'('u1$uconlat$u1'(X0),'u2$uconlat$u1'(X0),'u3$uconlat$u1'(X0)) = 'k4$urelat$u1'('u3$uconlat$u1'(X0))
| ~ 'l2$uconlat$u1'(X0) ),
inference(resolution,[status(thm)],[d30,c78]) ).
cnf(d55,plain,
'k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120)) = 'k4$urelat$u1'('u3$uconlat$u1'(sK120)),
inference(resolution,[status(thm)],[d54,c94]) ).
cnf(d56,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| X2 = 'k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120))
| 'g2$uconlat$u1'(X0,X1,X2) != 'k7$uconlat$u2'(sK120) ),
inference(superposition,[status(thm)],[d32,c42]) ).
cnf(d57,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'u3$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'k6$urelset$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120))
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120) ),
inference(superposition,[status(thm)],[d44,d56]) ).
cnf(d58,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120)
| 'u3$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'k4$urelat$u1'('u3$uconlat$u1'(sK120)) ),
inference(demodulation,[status(thm)],[d57,d55]) ).
cnf(d59,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120)
| 'u3$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'k4$urelat$u1'('u3$uconlat$u1'(sK120)) ),
inference(demodulation,[status(thm)],[d58,d53]) ).
cnf(d60,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'u3$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'k4$urelat$u1'('u3$uconlat$u1'(sK120)) ),
inference(resolution,[status(thm)],[d50,d59]) ).
cnf(d61,plain,
( ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'm2$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120))) ),
inference(superposition,[status(thm)],[d53,c26]) ).
cnf(d62,plain,
'm2$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120))),
inference(resolution,[status(thm)],[d38,d61]) ).
cnf(d63,plain,
'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120))),
inference(resolution,[status(thm)],[d62,c80]) ).
cnf(d64,plain,
'u3$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'k4$urelat$u1'('u3$uconlat$u1'(sK120)),
inference(resolution,[status(thm)],[d63,d60]) ).
cnf(d65,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| X1 = 'u1$uconlat$u1'(sK120)
| 'g2$uconlat$u1'(X0,X1,X2) != 'k7$uconlat$u2'(sK120) ),
inference(superposition,[status(thm)],[d32,c41]) ).
cnf(d66,plain,
( ~ 'm1$urelset$u1'('u3$uconlat$u1'('k7$uconlat$u2'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'u2$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u1$uconlat$u1'(sK120)
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120) ),
inference(superposition,[status(thm)],[d44,d65]) ).
cnf(d67,plain,
( ~ 'm1$urelset$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120)
| 'u2$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u1$uconlat$u1'(sK120) ),
inference(demodulation,[status(thm)],[d66,d64]) ).
cnf(d68,plain,
( ~ 'm1$urelset$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'k7$uconlat$u2'(sK120) != 'k7$uconlat$u2'(sK120)
| 'u2$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u1$uconlat$u1'(sK120) ),
inference(demodulation,[status(thm)],[d67,d53]) ).
cnf(d69,plain,
( ~ 'm1$urelset$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)))
| 'u2$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u1$uconlat$u1'(sK120) ),
inference(resolution,[status(thm)],[d50,d68]) ).
cnf(d70,plain,
'm1$urelset$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120)),'u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120))),
inference(demodulation,[status(thm)],[d63,d64]) ).
cnf(d71,plain,
'u2$uconlat$u1'('k7$uconlat$u2'(sK120)) = 'u1$uconlat$u1'(sK120),
inference(resolution,[status(thm)],[d70,d69]) ).
cnf(d72,plain,
'm1$urelset$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120)),'u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120)),
inference(demodulation,[status(thm)],[d70,d71]) ).
cnf(d73,plain,
'k6$urelset$u1'('u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'k4$urelat$u1'('u3$uconlat$u1'(sK120))) = 'k4$urelat$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120))),
inference(resolution,[status(thm)],[d72,c78]) ).
cnf(d74,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(X0))
| 'k7$uconlat$u2'('k7$uconlat$u2'(X0)) = 'g2$uconlat$u1'('u2$uconlat$u1'('k7$uconlat$u2'(X0)),'u1$uconlat$u1'('k7$uconlat$u2'(X0)),'k6$urelset$u1'('u1$uconlat$u1'('k7$uconlat$u2'(X0)),'u2$uconlat$u1'('k7$uconlat$u2'(X0)),'u3$uconlat$u1'('k7$uconlat$u2'(X0))))
| 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(resolution,[status(thm)],[c17,c5]) ).
cnf(d75,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0)
| 'k7$uconlat$u2'('k7$uconlat$u2'(X0)) = 'g2$uconlat$u1'('u2$uconlat$u1'('k7$uconlat$u2'(X0)),'u1$uconlat$u1'('k7$uconlat$u2'(X0)),'k6$urelset$u1'('u1$uconlat$u1'('k7$uconlat$u2'(X0)),'u2$uconlat$u1'('k7$uconlat$u2'(X0)),'u3$uconlat$u1'('k7$uconlat$u2'(X0)))) ),
inference(resolution,[status(thm)],[d74,c15]) ).
cnf(d76,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'k6$urelset$u1'('u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120)))) ),
inference(resolution,[status(thm)],[d75,c94]) ).
cnf(d77,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'k6$urelset$u1'('u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120)))) ),
inference(demodulation,[status(thm)],[d76,d71]) ).
cnf(d78,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'k6$urelset$u1'('u1$uconlat$u1'('k7$uconlat$u2'(sK120)),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120)))) ),
inference(demodulation,[status(thm)],[d77,d53]) ).
cnf(d79,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'k6$urelset$u1'('u2$uconlat$u1'(sK120),'u2$uconlat$u1'('k7$uconlat$u2'(sK120)),'u3$uconlat$u1'('k7$uconlat$u2'(sK120)))) ),
inference(demodulation,[status(thm)],[d78,d53]) ).
cnf(d80,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'k6$urelset$u1'('u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'u3$uconlat$u1'('k7$uconlat$u2'(sK120)))) ),
inference(demodulation,[status(thm)],[d79,d71]) ).
cnf(d81,plain,
( 'v3$uconlat$u1'(sK120)
| 'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'k6$urelset$u1'('u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'k4$urelat$u1'('u3$uconlat$u1'(sK120)))) ),
inference(demodulation,[status(thm)],[d80,d64]) ).
cnf(d82,plain,
'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'k6$urelset$u1'('u2$uconlat$u1'(sK120),'u1$uconlat$u1'(sK120),'k4$urelat$u1'('u3$uconlat$u1'(sK120)))),
inference(resolution,[status(thm)],[c92,d81]) ).
cnf(d83,plain,
'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'k4$urelat$u1'('k4$urelat$u1'('u3$uconlat$u1'(sK120)))),
inference(demodulation,[status(thm)],[d82,d73]) ).
cnf(d84,plain,
'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = 'g2$uconlat$u1'('u1$uconlat$u1'(sK120),'u2$uconlat$u1'(sK120),'u3$uconlat$u1'(sK120)),
inference(demodulation,[status(thm)],[d83,d29]) ).
cnf(d85,plain,
'k7$uconlat$u2'('k7$uconlat$u2'(sK120)) = sK120,
inference(demodulation,[status(thm)],[d84,d25]) ).
cnf(d86,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'v6$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'u5$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)) = 'u4$uconlat$u1'(X0,X1) ),
inference(equality_resolution,[status(thm)],[c7]) ).
cnf(d87,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'u5$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)) = 'u4$uconlat$u1'(X0,X1) ),
inference(resolution,[status(thm)],[d86,c18]) ).
cnf(d88,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'u5$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)) = 'u4$uconlat$u1'(X0,X1) ),
inference(resolution,[status(thm)],[d87,c19]) ).
cnf(d89,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) ),
inference(resolution,[status(thm)],[d88,d17]) ).
cnf(d90,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) ),
inference(demodulation,[status(thm)],[d89,d85]) ).
cnf(d91,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'(sK120,sK121) ),
inference(demodulation,[status(thm)],[d90,d23]) ).
cnf(d92,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[d38,d91]) ).
cnf(d93,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[d92,c15]) ).
cnf(d94,plain,
( ~ 'l2$uconlat$u1'(sK120)
| 'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[c92,d93]) ).
cnf(d95,plain,
'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'(sK120,sK121),
inference(resolution,[status(thm)],[c94,d94]) ).
cnf(d96,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'(sK120)
| 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u4$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(superposition,[status(thm)],[d8,c7]) ).
cnf(d97,plain,
( ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'(sK120)
| 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u4$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c92,d96]) ).
cnf(d98,plain,
( ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u4$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c94,d97]) ).
cnf(d99,plain,
( ~ 'v6$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(X0,'k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),X0) = 'u4$uconlat$u1'(sK120,sK121)
| X0 != 'k9$uconlat$u2'(sK120,sK121) ),
inference(resolution,[status(thm)],[c98,d98]) ).
cnf(d100,plain,
( ~ 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'u4$uconlat$u1'(sK120,sK121) ),
inference(equality_resolution,[status(thm)],[d99]) ).
cnf(d101,plain,
( ~ 'v6$uconlat$u1'('k9$uconlat$u2'(sK120,sK121),'k7$uconlat$u2'(sK120))
| 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'u4$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[d17,d100]) ).
cnf(d102,plain,
'u5$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'u4$uconlat$u1'(sK120,sK121),
inference(resolution,[status(thm)],[d22,d101]) ).
cnf(d103,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'v6$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'u4$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)) = 'u5$uconlat$u1'(X0,X1) ),
inference(equality_resolution,[status(thm)],[c6]) ).
cnf(d104,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'u4$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)) = 'u5$uconlat$u1'(X0,X1) ),
inference(resolution,[status(thm)],[d103,c18]) ).
cnf(d105,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'u4$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)) = 'u5$uconlat$u1'(X0,X1) ),
inference(resolution,[status(thm)],[d104,c19]) ).
cnf(d106,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) ),
inference(resolution,[status(thm)],[d105,d17]) ).
cnf(d107,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u5$uconlat$u1'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) ),
inference(demodulation,[status(thm)],[d106,d85]) ).
cnf(d108,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'(sK120,sK121) ),
inference(demodulation,[status(thm)],[d107,d102]) ).
cnf(d109,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[d38,d108]) ).
cnf(d110,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[d109,c15]) ).
cnf(d111,plain,
( ~ 'l2$uconlat$u1'(sK120)
| 'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'(sK120,sK121) ),
inference(resolution,[status(thm)],[c92,d110]) ).
cnf(d112,plain,
'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))) = 'u4$uconlat$u1'(sK120,sK121),
inference(resolution,[status(thm)],[c94,d111]) ).
cnf(d113,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0)
| 'l1$uconlat$u1'('k7$uconlat$u2'(X0)) ),
inference(resolution,[status(thm)],[c24,c17]) ).
cnf(d114,plain,
( ~ 'l1$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'('k8$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| 'k8$uconlat$u2'(X0,X1) = 'g3$uconlat$u1'('k7$uconlat$u2'(X0),'u4$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)),'u5$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)))
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0) ),
inference(resolution,[status(thm)],[c18,c1]) ).
cnf(d115,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l1$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'k8$uconlat$u2'(X0,X1) = 'g3$uconlat$u1'('k7$uconlat$u2'(X0),'u4$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)),'u5$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1))) ),
inference(resolution,[status(thm)],[d114,c19]) ).
cnf(d116,plain,
( 'v3$uconlat$u1'(X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'k8$uconlat$u2'(X0,X1) = 'g3$uconlat$u1'('k7$uconlat$u2'(X0),'u4$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1)),'u5$uconlat$u1'('k7$uconlat$u2'(X0),'k8$uconlat$u2'(X0,X1))) ),
inference(resolution,[status(thm)],[d115,d113]) ).
cnf(d117,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'g3$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'u4$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))),'u5$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)))) ),
inference(resolution,[status(thm)],[d116,d17]) ).
cnf(d118,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))),'u5$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)))) ),
inference(demodulation,[status(thm)],[d117,d85]) ).
cnf(d119,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121))),'u5$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)))) ),
inference(demodulation,[status(thm)],[d118,d85]) ).
cnf(d120,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,sK121),'u5$uconlat$u1'('k7$uconlat$u2'('k7$uconlat$u2'(sK120)),'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)))) ),
inference(demodulation,[status(thm)],[d119,d112]) ).
cnf(d121,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,sK121),'u5$uconlat$u1'(sK120,'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)))) ),
inference(demodulation,[status(thm)],[d120,d85]) ).
cnf(d122,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'g3$uconlat$u1'(sK120,'u4$uconlat$u1'(sK120,sK121),'u5$uconlat$u1'(sK120,sK121)) ),
inference(demodulation,[status(thm)],[d121,d95]) ).
cnf(d123,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(demodulation,[status(thm)],[d122,d3]) ).
cnf(d124,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[d38,d123]) ).
cnf(d125,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'l2$uconlat$u1'(sK120)
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[d124,c15]) ).
cnf(d126,plain,
( ~ 'l2$uconlat$u1'(sK120)
| 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[c92,d125]) ).
cnf(d127,plain,
'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121,
inference(resolution,[status(thm)],[c94,d126]) ).
cnf(d128,plain,
( 'v7$uconlat$u1'(X1,X0)
| ~ 'v9$uconlat$u1'(X1,X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v7$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| 'v3$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l3$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(X0))
| 'k9$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) = 'k8$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) ),
inference(resolution,[status(thm)],[c79,c22]) ).
cnf(d129,plain,
( 'v7$uconlat$u1'(X1,X0)
| ~ 'v9$uconlat$u1'(X1,X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v7$uconlat$u1'('k9$uconlat$u2'(X0,X1),'k7$uconlat$u2'(X0))
| 'v7$uconlat$u1'(X1,X0)
| ~ 'v9$uconlat$u1'(X1,X0)
| 'v3$uconlat$u1'('k7$uconlat$u2'(X0))
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'k9$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) = 'k8$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) ),
inference(resolution,[status(thm)],[d128,c23]) ).
cnf(d130,plain,
( 'v7$uconlat$u1'(X1,X0)
| ~ 'v9$uconlat$u1'(X1,X0)
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'(X0)
| 'v7$uconlat$u1'(X1,X0)
| ~ 'v9$uconlat$u1'(X1,X0)
| 'v3$uconlat$u1'('k7$uconlat$u2'(X0))
| 'v3$uconlat$u1'(X0)
| ~ 'l3$uconlat$u1'(X1,X0)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(X0))
| ~ 'l2$uconlat$u1'(X0)
| 'k9$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) = 'k8$uconlat$u2'('k7$uconlat$u2'(X0),'k9$uconlat$u2'(X0,X1)) ),
inference(resolution,[status(thm)],[d129,c21]) ).
cnf(d131,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'v3$uconlat$u1'(sK120)
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'(sK120)
| 'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = 'k8$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) ),
inference(resolution,[status(thm)],[d130,c97]) ).
cnf(d132,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| 'v3$uconlat$u1'(sK120)
| 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(demodulation,[status(thm)],[d131,d127]) ).
cnf(d133,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'(sK120)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[c92,d132]) ).
cnf(d134,plain,
( 'v7$uconlat$u1'(sK121,sK120)
| 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[c94,d133]) ).
cnf(d135,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l3$uconlat$u1'(sK121,sK120)
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[c96,d134]) ).
cnf(d136,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120))
| 'k9$uconlat$u2'('k7$uconlat$u2'(sK120),'k9$uconlat$u2'(sK120,sK121)) = sK121 ),
inference(resolution,[status(thm)],[c98,d135]) ).
cnf(d137,plain,
( 'v3$uconlat$u1'('k7$uconlat$u2'(sK120))
| ~ 'l2$uconlat$u1'('k7$uconlat$u2'(sK120)) ),
inference(resolution,[status(thm)],[c99,d136]) ).
cnf(d138,plain,
'v3$uconlat$u1'('k7$uconlat$u2'(sK120)),
inference(resolution,[status(thm)],[d38,d137]) ).
cnf(d139,plain,
( 'v3$uconlat$u1'(sK120)
| ~ 'l2$uconlat$u1'(sK120) ),
inference(resolution,[status(thm)],[d138,c15]) ).
cnf(d140,plain,
~ 'l2$uconlat$u1'(sK120),
inference(resolution,[status(thm)],[c92,d139]) ).
cnf(d141,plain,
$false,
inference(resolution,[status(thm)],[c94,d140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT345+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.15/15.68 % CPULimit : 300
% 0.15/15.68 % WCLimit : 300
% 0.15/15.68 % DateTime : Fri Sep 25 21:07:07 UTC 2026
% 0.15/15.68 % CPUTime :
% 0.15/15.68 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.89/21.68 % SZS status Theorem for theBenchmark.p
% 45.89/21.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------