%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 09:01:53 AM UTC 2026
% Result : Unsatisfiable 10.72s 2.22s
% Output : CNFRefutation 10.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 8
% Syntax : Number of clauses : 65 ( 15 unt; 37 nHn; 31 RR)
% Number of literals : 174 ( 115 equ; 33 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 81 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X2),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH$uH'),'tc$uMessage$uOmsg')
| X0 = X2
| X2 = X1
| X0 = X1 ) ).
cnf(cls_Nat_Odiff__is__0__eq_0,axiom,
( 'c$ulessequals'(X0,X1,'tc$unat')
| 'c$uminus'(X0,X1,'tc$unat') != 'c$u0' ) ).
cnf(cls_Nat_Odiff__self__eq__0_0,axiom,
'c$uminus'(X0,X0,'tc$unat') = 'c$u0' ).
cnf(cls_Nat_Ole__add1_0,axiom,
'c$ulessequals'(X0,'c$uplus'(X0,X1,'tc$unat'),'tc$unat') ).
cnf(cls_Nat_OlessI_0,axiom,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat') ).
cnf(cls_Nat_Oless__Suc__eq__le_1,axiom,
( 'c$uless'(X0,'c$uSuc'(X1),'tc$unat')
| ~ 'c$ulessequals'(X0,X1,'tc$unat') ) ).
cnf(cls_Nat_Onot__add__less2_0,axiom,
~ 'c$uless'('c$uplus'(X0,X1,'tc$unat'),X1,'tc$unat') ).
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ 'c$ulessequals'('v$usko$u$uurX'(X1),X0,'tc$unat')
| ~ 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ) ).
cnf(c0,plain,
( X2 = X1
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| X2 = X0
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X2),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg')
| X1 = X0
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH$uH'),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c5,plain,
( 'c$ulessequals'(X0,X1,'tc$unat')
| 'c$uminus'(X0,X1,'tc$unat') != 'c$u0' ),
inference(clausification,[status(esa)],[cls_Nat_Odiff__is__0__eq_0]) ).
cnf(c6,plain,
'c$uminus'(X0,X0,'tc$unat') = 'c$u0',
inference(clausification,[status(esa)],[cls_Nat_Odiff__self__eq__0_0]) ).
cnf(c7,plain,
'c$ulessequals'(X0,'c$uplus'(X0,X1,'tc$unat'),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_Ole__add1_0]) ).
cnf(c8,plain,
'c$uless'(X0,'c$uSuc'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_OlessI_0]) ).
cnf(c9,plain,
( 'c$uless'(X0,'c$uSuc'(X1),'tc$unat')
| ~ 'c$ulessequals'(X0,X1,'tc$unat') ),
inference(clausification,[status(esa)],[cls_Nat_Oless__Suc__eq__le_1]) ).
cnf(c11,plain,
~ 'c$uless'('c$uplus'(X0,X1,'tc$unat'),X1,'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_Onot__add__less2_0]) ).
cnf(c12,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'(X1),X0,'tc$unat')
| ~ 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(d0,plain,
~ 'c$ulessequals'('c$uplus'(X0,'c$uSuc'(X1),'tc$unat'),X1,'tc$unat'),
inference(resolution,[status(thm)],[c9,c11]) ).
cnf(d1,plain,
( 'c$ulessequals'(X0,X0,'tc$unat')
| 'c$u0' != 'c$u0' ),
inference(superposition,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
'c$ulessequals'(X0,X0,'tc$unat'),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X2),'c$uEvent$uOused'('v$uevs$uH$uH'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| X1 = X2
| X0 = X2
| X0 = X1
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat') ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(d4,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = X0
| 'v$usko$u$uurX'('v$uevs') = X1
| X0 = X1 ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = X0
| 'v$usko$u$uurX'('v$uevs') = X1
| X0 = X1 ),
inference(resolution,[status(thm)],[d4,c12]) ).
cnf(d6,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = X0
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| X0 = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = X0
| X0 = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d6,c12]) ).
cnf(d8,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| ~ 'c$uless'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat') ),
inference(superposition,[status(thm)],[d8,c11]) ).
cnf(d10,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),'c$uSuc'('v$usko$u$uurX'('v$uevs')),'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d9,c8]) ).
cnf(d11,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'v$usko$u$uurX'('v$uevs'),'tc$unat') ),
inference(superposition,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),'v$usko$u$uurX'('v$uevs'),'tc$unat') ),
inference(superposition,[status(thm)],[d8,c7]) ).
cnf(d13,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),'c$uSuc'(X0),'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat') ),
inference(superposition,[status(thm)],[d8,d0]) ).
cnf(d14,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),'c$uSuc'('c$uplus'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat')),'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d13,c7]) ).
cnf(d15,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'c$uplus'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat'),'tc$unat') ),
inference(superposition,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d17,plain,
( 'v$usko$u$uurX'('v$uevs$uH') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs'),'c$uSuc'('v$usko$u$uurX'('v$uevs')),'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(superposition,[status(thm)],[d16,d10]) ).
cnf(d18,plain,
( 'v$usko$u$uurX'('v$uevs$uH') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'v$usko$u$uurX'('v$uevs$uH$uH'),'tc$unat') ),
inference(superposition,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
( 'v$usko$u$uurX'('v$uevs$uH') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d2,d18]) ).
cnf(d20,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'v$usko$u$uurX'('v$uevs'),'tc$unat') ),
inference(superposition,[status(thm)],[d19,d12]) ).
cnf(d21,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat') = 'v$usko$u$uurX'('v$uevs$uH$uH') ),
inference(resolution,[status(thm)],[d20,d11]) ).
cnf(d22,plain,
( 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH')
| ~ 'c$uless'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(superposition,[status(thm)],[d21,c11]) ).
cnf(d23,plain,
'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH$uH'),
inference(resolution,[status(thm)],[d22,c8]) ).
cnf(d24,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = X0
| 'v$usko$u$uurX'('v$uevs') = X1
| X0 = X1 ),
inference(resolution,[status(thm)],[d4,c12]) ).
cnf(d25,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs') = X0
| 'v$usko$u$uurX'('v$uevs$uH') = X0 ),
inference(resolution,[status(thm)],[d24,d2]) ).
cnf(d26,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH') = X0
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs') = X0 ),
inference(resolution,[status(thm)],[d25,c12]) ).
cnf(d27,plain,
( 'v$usko$u$uurX'('v$uevs$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(resolution,[status(thm)],[d26,c7]) ).
cnf(d28,plain,
( 'v$usko$u$uurX'('v$uevs$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(demodulation,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
( 'v$usko$u$uurX'('v$uevs$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(demodulation,[status(thm)],[d28,d23]) ).
cnf(d30,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| ~ 'c$uless'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat') ),
inference(superposition,[status(thm)],[d29,c11]) ).
cnf(d31,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),'c$uSuc'('v$usko$u$uurX'('v$uevs$uH')),'tc$unat') ),
inference(resolution,[status(thm)],[d30,c8]) ).
cnf(d32,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'v$usko$u$uurX'('v$uevs$uH'),'tc$unat') ),
inference(superposition,[status(thm)],[d31,d0]) ).
cnf(d33,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'v$usko$u$uurX'('v$uevs$uH'),'tc$unat') ),
inference(superposition,[status(thm)],[d29,c7]) ).
cnf(d34,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(resolution,[status(thm)],[d33,d32]) ).
cnf(d35,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH')
| ~ 'c$uless'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(superposition,[status(thm)],[d34,c11]) ).
cnf(d36,plain,
'v$usko$u$uurX'('v$uevs$uH$uH') = 'v$usko$u$uurX'('v$uevs$uH'),
inference(resolution,[status(thm)],[d35,c8]) ).
cnf(d37,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = X0
| 'v$usko$u$uurX'('v$uevs') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| X0 = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat') ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d38,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = X0
| X0 = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat') ),
inference(resolution,[status(thm)],[d37,c12]) ).
cnf(d39,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = X0
| X0 = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat') ),
inference(demodulation,[status(thm)],[d38,d23]) ).
cnf(d40,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = X0
| X0 = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat') ),
inference(demodulation,[status(thm)],[d39,d23]) ).
cnf(d41,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = X0
| X0 = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat') ),
inference(demodulation,[status(thm)],[d40,d36]) ).
cnf(d42,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat') ),
inference(resolution,[status(thm)],[d41,c7]) ).
cnf(d43,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat')
| ~ 'c$uless'('c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X1,'tc$unat'),X0,'tc$unat') ),
inference(superposition,[status(thm)],[d42,c11]) ).
cnf(d44,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),'c$uSuc'('c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')),'tc$unat')
| 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat') ),
inference(resolution,[status(thm)],[d43,c8]) ).
cnf(d45,plain,
( 'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat')
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH$uH'),'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat'),'tc$unat') ),
inference(superposition,[status(thm)],[d44,d0]) ).
cnf(d46,plain,
'v$usko$u$uurX'('v$uevs$uH$uH') = 'c$uplus'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat'),
inference(resolution,[status(thm)],[c7,d45]) ).
cnf(d47,plain,
~ 'c$uless'('v$usko$u$uurX'('v$uevs$uH$uH'),X0,'tc$unat'),
inference(superposition,[status(thm)],[d46,c11]) ).
cnf(d48,plain,
$false,
inference(resolution,[status(thm)],[d47,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV282-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n009.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sat Sep 26 13:27:00 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.72/2.22 % SZS status Unsatisfiable for theBenchmark.p
% 10.72/2.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------