%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP047+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 : n005.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 09:52:45 AM UTC 2026
% Result : Theorem 57.71s 9.01s
% Output : CNFRefutation 57.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 126 ( 34 unt; 0 def)
% Number of atoms : 572 ( 85 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 796 ( 350 ~; 376 |; 45 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 1 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(abstractness_v1_pre_topc,axiom,
! [X0] :
( 'l1$upre$utopc'(X0)
=> ( 'v1$upre$utopc'(X0)
=> X0 = 'g1$upre$utopc'('u1$ustruct$u0'(X0),'u1$upre$utopc'(X0)) ) ) ).
fof(cc2_lattice3,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> ( 'v2$ulattice3'(X0)
=> ~ 'v3$ustruct$u0'(X0) ) ) ).
fof(d10_xboole_0,axiom,
! [X0,X1] :
( X0 = X1
<=> ( 'r1$utarski'(X1,X0)
& 'r1$utarski'(X0,X1) ) ) ).
fof(d27_yellow_6,axiom,
! [X0] :
( ( 'l1$ustruct$u0'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm4$uyellow$u6'(X1,X0)
=> ! [X2] :
( ( 'l1$upre$utopc'(X2)
& 'v1$upre$utopc'(X2) )
=> ( X2 = 'k14$uyellow$u6'(X0,X1)
<=> ( 'u1$upre$utopc'(X2) = 'a$u2$u1$uyellow$u6'(X0,X1)
& 'u1$ustruct$u0'(X2) = 'u1$ustruct$u0'(X0) ) ) ) ) ) ).
fof(dt_k14_yellow_6,axiom,
! [X0,X1] :
( ( 'm4$uyellow$u6'(X1,X0)
& 'l1$ustruct$u0'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ( 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
& 'v1$upre$utopc'('k14$uyellow$u6'(X0,X1)) ) ) ).
fof(dt_k3_waybel28,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'm4$uyellow$u6'('k3$uwaybel28'(X0),X0) ) ).
fof(dt_l1_orders_2,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> 'l1$ustruct$u0'(X0) ) ).
fof(dt_u1_orders_2,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> 'm2$urelset$u1'('u1$uorders$u2'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ) ).
fof(free_g1_orders_2,axiom,
! [X0,X1] :
( 'm1$urelset$u1'(X1,X0,X0)
=> ! [X2,X3] :
( 'g1$uorders$u2'(X0,X1) = 'g1$uorders$u2'(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ) ).
fof(l12_waybel33,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$ulattice3'(X0)
& 'v25$uwaybel$u0'(X0)
& 'v24$uwaybel$u0'(X0)
& 'v4$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ! [X1] :
( ( 'l1$uorders$u2'(X1)
& 'v2$ulattice3'(X1)
& 'v25$uwaybel$u0'(X1)
& 'v24$uwaybel$u0'(X1)
& 'v4$uorders$u2'(X1)
& 'v3$uorders$u2'(X1)
& 'v2$uorders$u2'(X1) )
=> ( 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) = 'g1$uorders$u2'('u1$ustruct$u0'(X1),'u1$uorders$u2'(X1))
=> 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(X1,'k3$uwaybel28'(X1)))) ) ) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(t8_waybel33,conjecture,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$ulattice3'(X0)
& 'v25$uwaybel$u0'(X0)
& 'v24$uwaybel$u0'(X0)
& 'v4$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ! [X1] :
( ( 'l1$uorders$u2'(X1)
& 'v2$ulattice3'(X1)
& 'v25$uwaybel$u0'(X1)
& 'v24$uwaybel$u0'(X1)
& 'v4$uorders$u2'(X1)
& 'v3$uorders$u2'(X1)
& 'v2$uorders$u2'(X1) )
=> ( 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) = 'g1$uorders$u2'('u1$ustruct$u0'(X1),'u1$uorders$u2'(X1))
=> 'k14$uyellow$u6'(X0,'k3$uwaybel28'(X0)) = 'k14$uyellow$u6'(X1,'k3$uwaybel28'(X1)) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$ulattice3'(X0)
& 'v25$uwaybel$u0'(X0)
& 'v24$uwaybel$u0'(X0)
& 'v4$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ! [X1] :
( ( 'l1$uorders$u2'(X1)
& 'v2$ulattice3'(X1)
& 'v25$uwaybel$u0'(X1)
& 'v24$uwaybel$u0'(X1)
& 'v4$uorders$u2'(X1)
& 'v3$uorders$u2'(X1)
& 'v2$uorders$u2'(X1) )
=> ( 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) = 'g1$uorders$u2'('u1$ustruct$u0'(X1),'u1$uorders$u2'(X1))
=> 'k14$uyellow$u6'(X0,'k3$uwaybel28'(X0)) = 'k14$uyellow$u6'(X1,'k3$uwaybel28'(X1)) ) ) ),
inference(negate_conjecture,[status(cth)],[t8_waybel33]) ).
cnf(c1,plain,
( X0 = 'g1$upre$utopc'('u1$ustruct$u0'(X0),'u1$upre$utopc'(X0))
| ~ 'v1$upre$utopc'(X0)
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[abstractness_v1_pre_topc]) ).
cnf(c20,plain,
( ~ 'v3$ustruct$u0'(X0)
| ~ 'v2$ulattice3'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[cc2_lattice3]) ).
cnf(c41,plain,
( ~ 'r1$utarski'(X1,X0)
| ~ 'r1$utarski'(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[d10_xboole_0]) ).
cnf(c42,plain,
( ~ 'v1$upre$utopc'(X1)
| X1 != 'k14$uyellow$u6'(X0,X2)
| ~ 'm4$uyellow$u6'(X2,X0)
| ~ 'l1$upre$utopc'(X1)
| 'v3$ustruct$u0'(X0)
| 'u1$ustruct$u0'(X1) = 'u1$ustruct$u0'(X0)
| ~ 'l1$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[d27_yellow_6]) ).
cnf(c43,plain,
( X1 != 'k14$uyellow$u6'(X0,X2)
| 'u1$upre$utopc'(X1) = 'a$u2$u1$uyellow$u6'(X0,X2)
| ~ 'v1$upre$utopc'(X1)
| ~ 'm4$uyellow$u6'(X2,X0)
| ~ 'l1$upre$utopc'(X1)
| 'v3$ustruct$u0'(X0)
| ~ 'l1$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[d27_yellow_6]) ).
cnf(c50,plain,
( 'v1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k14_yellow_6]) ).
cnf(c51,plain,
( 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k14_yellow_6]) ).
cnf(c52,plain,
( 'm4$uyellow$u6'('k3$uwaybel28'(X0),X0)
| ~ 'l1$uorders$u2'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k3_waybel28]) ).
cnf(c53,plain,
( 'l1$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[dt_l1_orders_2]) ).
cnf(c57,plain,
( 'm2$urelset$u1'('u1$uorders$u2'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[dt_u1_orders_2]) ).
cnf(c100,plain,
( X1 = X2
| 'g1$uorders$u2'(X1,X0) != 'g1$uorders$u2'(X2,X3)
| ~ 'm1$urelset$u1'(X0,X1,X1) ),
inference(clausification,[status(esa)],[free_g1_orders_2]) ).
cnf(c104,plain,
( ~ 'v3$uorders$u2'(X1)
| ~ 'l1$uorders$u2'(X1)
| ~ 'v4$uorders$u2'(X1)
| ~ 'v2$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(X1,'k3$uwaybel28'(X1))))
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(X1),'u1$uorders$u2'(X1))
| ~ 'v2$uorders$u2'(X1)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v24$uwaybel$u0'(X1)
| ~ 'v25$uwaybel$u0'(X1)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v2$ulattice3'(X1)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| ~ 'v2$ulattice3'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[l12_waybel33]) ).
cnf(c179,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c195,plain,
'v2$uorders$u2'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c196,plain,
'v3$uorders$u2'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c197,plain,
'v4$uorders$u2'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c198,plain,
'v24$uwaybel$u0'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c199,plain,
'v25$uwaybel$u0'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c200,plain,
'v2$ulattice3'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
'l1$uorders$u2'(sK168),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c202,plain,
'v2$uorders$u2'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c203,plain,
'v3$uorders$u2'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c204,plain,
'v4$uorders$u2'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c205,plain,
'v24$uwaybel$u0'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c206,plain,
'v25$uwaybel$u0'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c207,plain,
'v2$ulattice3'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c208,plain,
'l1$uorders$u2'(sK169),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c209,plain,
'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) = 'g1$uorders$u2'('u1$ustruct$u0'(sK169),'u1$uorders$u2'(sK169)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c210,plain,
'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) != 'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| ~ 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| 'u1$upre$utopc'('k14$uyellow$u6'(X0,X1)) = 'a$u2$u1$uyellow$u6'(X0,X1) ),
inference(equality_resolution,[status(thm)],[c43]) ).
cnf(d1,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| 'u1$upre$utopc'('k14$uyellow$u6'(X0,X1)) = 'a$u2$u1$uyellow$u6'(X0,X1)
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[c50,d0]) ).
cnf(d2,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| 'u1$upre$utopc'('k14$uyellow$u6'(X0,X1)) = 'a$u2$u1$uyellow$u6'(X0,X1)
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[c51,d1]) ).
cnf(d3,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| 'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))) = 'a$u2$u1$uyellow$u6'(X0,'k3$uwaybel28'(X0)) ),
inference(resolution,[status(thm)],[d2,c52]) ).
cnf(d4,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| 'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))) = 'a$u2$u1$uyellow$u6'(X0,'k3$uwaybel28'(X0))
| ~ 'l1$uorders$u2'(X0) ),
inference(resolution,[status(thm)],[c53,d3]) ).
cnf(d5,plain,
( 'v3$ustruct$u0'(sK168)
| 'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))) = 'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) ),
inference(resolution,[status(thm)],[d4,c201]) ).
cnf(d6,plain,
( ~ 'v3$ustruct$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c20,c200]) ).
cnf(d7,plain,
~ 'v3$ustruct$u0'(sK168),
inference(resolution,[status(thm)],[c201,d6]) ).
cnf(d8,plain,
'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))) = 'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'v1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| ~ 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| 'u1$ustruct$u0'('k14$uyellow$u6'(X0,X1)) = 'u1$ustruct$u0'(X0) ),
inference(equality_resolution,[status(thm)],[c42]) ).
cnf(d10,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| ~ 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| 'u1$ustruct$u0'('k14$uyellow$u6'(X0,X1)) = 'u1$ustruct$u0'(X0)
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[c50,d9]) ).
cnf(d11,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| 'u1$ustruct$u0'('k14$uyellow$u6'(X0,X1)) = 'u1$ustruct$u0'(X0)
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[c51,d10]) ).
cnf(d12,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| 'u1$ustruct$u0'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))) = 'u1$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[d11,c52]) ).
cnf(d13,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| 'u1$ustruct$u0'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))) = 'u1$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(resolution,[status(thm)],[c53,d12]) ).
cnf(d14,plain,
( 'v3$ustruct$u0'(sK168)
| 'u1$ustruct$u0'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))) = 'u1$ustruct$u0'(sK168) ),
inference(resolution,[status(thm)],[d13,c201]) ).
cnf(d15,plain,
'u1$ustruct$u0'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))) = 'u1$ustruct$u0'(sK168),
inference(resolution,[status(thm)],[d7,d14]) ).
cnf(d16,plain,
( ~ 'l1$upre$utopc'('k14$uyellow$u6'(X0,X1))
| 'k14$uyellow$u6'(X0,X1) = 'g1$upre$utopc'('u1$ustruct$u0'('k14$uyellow$u6'(X0,X1)),'u1$upre$utopc'('k14$uyellow$u6'(X0,X1)))
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[c50,c1]) ).
cnf(d17,plain,
( ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| 'k14$uyellow$u6'(X0,X1) = 'g1$upre$utopc'('u1$ustruct$u0'('k14$uyellow$u6'(X0,X1)),'u1$upre$utopc'('k14$uyellow$u6'(X0,X1)))
| ~ 'm4$uyellow$u6'(X1,X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(resolution,[status(thm)],[c51,d16]) ).
cnf(d18,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| ~ 'l1$ustruct$u0'(X0)
| 'v3$ustruct$u0'(X0)
| 'k14$uyellow$u6'(X0,'k3$uwaybel28'(X0)) = 'g1$upre$utopc'('u1$ustruct$u0'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0)))) ),
inference(resolution,[status(thm)],[d17,c52]) ).
cnf(d19,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| 'k14$uyellow$u6'(X0,'k3$uwaybel28'(X0)) = 'g1$upre$utopc'('u1$ustruct$u0'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'l1$uorders$u2'(X0) ),
inference(resolution,[status(thm)],[c53,d18]) ).
cnf(d20,plain,
( 'v3$ustruct$u0'(sK168)
| 'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'g1$upre$utopc'('u1$ustruct$u0'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)))) ),
inference(resolution,[status(thm)],[d19,c201]) ).
cnf(d21,plain,
( 'v3$ustruct$u0'(sK168)
| 'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)))) ),
inference(demodulation,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
( 'v3$ustruct$u0'(sK168)
| 'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))) ),
inference(demodulation,[status(thm)],[d21,d8]) ).
cnf(d23,plain,
'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),
inference(resolution,[status(thm)],[d7,d22]) ).
cnf(d24,plain,
( 'v3$ustruct$u0'(sK169)
| 'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) = 'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) ),
inference(resolution,[status(thm)],[d4,c208]) ).
cnf(d25,plain,
( ~ 'v3$ustruct$u0'(sK169)
| ~ 'l1$uorders$u2'(sK169) ),
inference(resolution,[status(thm)],[c20,c207]) ).
cnf(d26,plain,
~ 'v3$ustruct$u0'(sK169),
inference(resolution,[status(thm)],[c208,d25]) ).
cnf(d27,plain,
'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) = 'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)),
inference(resolution,[status(thm)],[d26,d24]) ).
cnf(d28,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v3$uorders$u2'(X0)
| ~ 'v3$uorders$u2'(sK169)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(X0)
| ~ 'v2$ulattice3'(sK169)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v4$uorders$u2'(sK169)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'l1$uorders$u2'(X0)
| ~ 'l1$uorders$u2'(sK169)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(superposition,[status(thm)],[c209,c104]) ).
cnf(d29,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(sK169)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(sK169)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c202,d28]) ).
cnf(d30,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(sK169)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c203,d29]) ).
cnf(d31,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c204,d30]) ).
cnf(d32,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c205,d31]) ).
cnf(d33,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c206,d32]) ).
cnf(d34,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c207,d33]) ).
cnf(d35,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))))
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) != 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) ),
inference(resolution,[status(thm)],[c208,d34]) ).
cnf(d36,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| ~ 'v3$uorders$u2'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v4$uorders$u2'(sK168)
| ~ 'v2$uorders$u2'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(equality_resolution,[status(thm)],[d35]) ).
cnf(d37,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| ~ 'v3$uorders$u2'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v4$uorders$u2'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c195,d36]) ).
cnf(d38,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v4$uorders$u2'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c196,d37]) ).
cnf(d39,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c197,d38]) ).
cnf(d40,plain,
( 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c198,d39]) ).
cnf(d41,plain,
( 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c199,d40]) ).
cnf(d42,plain,
( 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))))
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c200,d41]) ).
cnf(d43,plain,
'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)))),
inference(resolution,[status(thm)],[c201,d42]) ).
cnf(d44,plain,
( ~ 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| 'u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))) = 'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) ),
inference(resolution,[status(thm)],[d43,c41]) ).
cnf(d45,plain,
( ~ 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| 'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) ),
inference(demodulation,[status(thm)],[d44,d8]) ).
cnf(d46,plain,
( ~ 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| 'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) ),
inference(demodulation,[status(thm)],[d45,d27]) ).
cnf(d47,plain,
( ~ 'r1$utarski'('a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| 'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) ),
inference(demodulation,[status(thm)],[d46,d8]) ).
cnf(d48,plain,
( ~ 'r1$utarski'('a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)))
| 'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) ),
inference(demodulation,[status(thm)],[d47,d27]) ).
cnf(d49,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(sK169)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(sK169)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(sK169)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(superposition,[status(thm)],[c209,c104]) ).
cnf(d50,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(sK169)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(sK169)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c202,d49]) ).
cnf(d51,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(sK169)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c203,d50]) ).
cnf(d52,plain,
( ~ 'v24$uwaybel$u0'(sK169)
| ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c204,d51]) ).
cnf(d53,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(sK169)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c205,d52]) ).
cnf(d54,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK169)
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c206,d53]) ).
cnf(d55,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(sK169)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c207,d54]) ).
cnf(d56,plain,
( ~ 'v24$uwaybel$u0'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(X0,'k3$uwaybel28'(X0))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(X0)
| ~ 'v4$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v25$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| 'g1$uorders$u2'('u1$ustruct$u0'(X0),'u1$uorders$u2'(X0)) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(resolution,[status(thm)],[c208,d55]) ).
cnf(d57,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| ~ 'v3$uorders$u2'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v4$uorders$u2'(sK168)
| ~ 'v2$uorders$u2'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(equality_resolution,[status(thm)],[d56]) ).
cnf(d58,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| ~ 'v3$uorders$u2'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v4$uorders$u2'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c195,d57]) ).
cnf(d59,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v4$uorders$u2'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c196,d58]) ).
cnf(d60,plain,
( ~ 'v24$uwaybel$u0'(sK168)
| 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c197,d59]) ).
cnf(d61,plain,
( 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'v25$uwaybel$u0'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c198,d60]) ).
cnf(d62,plain,
( 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'v2$ulattice3'(sK168)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c199,d61]) ).
cnf(d63,plain,
( 'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))))
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[c200,d62]) ).
cnf(d64,plain,
'r1$utarski'('u1$upre$utopc'('k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)))),
inference(resolution,[status(thm)],[c201,d63]) ).
cnf(d65,plain,
'r1$utarski'('a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)))),
inference(demodulation,[status(thm)],[d64,d8]) ).
cnf(d66,plain,
'r1$utarski'('a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),
inference(demodulation,[status(thm)],[d65,d27]) ).
cnf(d67,plain,
'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) = 'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)),
inference(resolution,[status(thm)],[d66,d48]) ).
cnf(d68,plain,
( ~ 'm1$urelset$u1'(X1,X0,X0)
| X0 = 'u1$ustruct$u0'(sK169)
| 'g1$uorders$u2'(X0,X1) != 'g1$uorders$u2'('u1$ustruct$u0'(sK168),'u1$uorders$u2'(sK168)) ),
inference(superposition,[status(thm)],[c209,c100]) ).
cnf(d69,plain,
( ~ 'm1$urelset$u1'('u1$uorders$u2'(sK168),'u1$ustruct$u0'(sK168),'u1$ustruct$u0'(sK168))
| 'u1$ustruct$u0'(sK168) = 'u1$ustruct$u0'(sK169) ),
inference(equality_resolution,[status(thm)],[d68]) ).
cnf(d70,plain,
( ~ 'l1$uorders$u2'(X0)
| 'm1$urelset$u1'('u1$uorders$u2'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ),
inference(resolution,[status(thm)],[c179,c57]) ).
cnf(d71,plain,
( 'u1$ustruct$u0'(sK168) = 'u1$ustruct$u0'(sK169)
| ~ 'l1$uorders$u2'(sK168) ),
inference(resolution,[status(thm)],[d70,d69]) ).
cnf(d72,plain,
'u1$ustruct$u0'(sK168) = 'u1$ustruct$u0'(sK169),
inference(resolution,[status(thm)],[c201,d71]) ).
cnf(d73,plain,
( 'v3$ustruct$u0'(sK169)
| 'u1$ustruct$u0'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) = 'u1$ustruct$u0'(sK169) ),
inference(resolution,[status(thm)],[d13,c208]) ).
cnf(d74,plain,
( 'v3$ustruct$u0'(sK169)
| 'u1$ustruct$u0'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) = 'u1$ustruct$u0'(sK168) ),
inference(demodulation,[status(thm)],[d73,d72]) ).
cnf(d75,plain,
'u1$ustruct$u0'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) = 'u1$ustruct$u0'(sK168),
inference(resolution,[status(thm)],[d26,d74]) ).
cnf(d76,plain,
( 'v3$ustruct$u0'(sK169)
| 'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) = 'g1$upre$utopc'('u1$ustruct$u0'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)))) ),
inference(resolution,[status(thm)],[d19,c208]) ).
cnf(d77,plain,
( 'v3$ustruct$u0'(sK169)
| 'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'u1$upre$utopc'('k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)))) ),
inference(demodulation,[status(thm)],[d76,d75]) ).
cnf(d78,plain,
( 'v3$ustruct$u0'(sK169)
| 'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))) ),
inference(demodulation,[status(thm)],[d77,d27]) ).
cnf(d79,plain,
'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'a$u2$u1$uyellow$u6'(sK169,'k3$uwaybel28'(sK169))),
inference(resolution,[status(thm)],[d26,d78]) ).
cnf(d80,plain,
'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) = 'g1$upre$utopc'('u1$ustruct$u0'(sK168),'a$u2$u1$uyellow$u6'(sK168,'k3$uwaybel28'(sK168))),
inference(demodulation,[status(thm)],[d79,d67]) ).
cnf(d81,plain,
'k14$uyellow$u6'(sK169,'k3$uwaybel28'(sK169)) = 'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),
inference(demodulation,[status(thm)],[d80,d23]) ).
cnf(d82,plain,
'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)) != 'k14$uyellow$u6'(sK168,'k3$uwaybel28'(sK168)),
inference(demodulation,[status(thm)],[c210,d81]) ).
cnf(d83,plain,
$false,
inference(equality_resolution,[status(thm)],[d82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 20:49:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.71/9.01 % SZS status Theorem for theBenchmark.p
% 57.71/9.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------