%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 11.10s 7.09s
% Output : CNFRefutation 11.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 13 unt; 4 nHn; 10 RR)
% Number of literals : 38 ( 22 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 39 ( 14 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$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| X0 = X1 ) ).
cnf(cls_List_Olist_Odistinct__1_0,axiom,
'c$uList$uOlist$uONil' != 'c$uList$uOlist$uOCons'(X0,X1,X2) ).
cnf(cls_Nat_Ole__add2_0,axiom,
'c$ulessequals'(X0,'c$uplus'(X1,X0,'tc$unat'),'tc$unat') ).
cnf(cls_Nat_Onat__add__right__cancel_0,axiom,
( X0 = X2
| 'c$uplus'(X0,X1,'tc$unat') != 'c$uplus'(X2,X1,'tc$unat') ) ).
cnf(cls_Nat_Oop_A_L_Oadd__0_0,axiom,
'c$uplus'('c$u0',X0,'tc$unat') = X0 ).
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$uOmsg') ) ).
cnf(c0,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| X0 = X1 ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uList$uOlist$uONil' != 'c$uList$uOlist$uOCons'(X0,X1,X2),
inference(clausification,[status(esa)],[cls_List_Olist_Odistinct__1_0]) ).
cnf(c2,plain,
'c$ulessequals'(X0,'c$uplus'(X1,X0,'tc$unat'),'tc$unat'),
inference(clausification,[status(esa)],[cls_Nat_Ole__add2_0]) ).
cnf(c3,plain,
( X0 = X2
| 'c$uplus'(X0,X1,'tc$unat') != 'c$uplus'(X2,X1,'tc$unat') ),
inference(clausification,[status(esa)],[cls_Nat_Onat__add__right__cancel_0]) ).
cnf(c4,plain,
'c$uplus'('c$u0',X0,'tc$unat') = X0,
inference(clausification,[status(esa)],[cls_Nat_Oop_A_L_Oadd__0_0]) ).
cnf(c5,plain,
( ~ 'c$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$u0' = X1
| X0 != 'c$uplus'(X1,X0,'tc$unat') ),
inference(superposition,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
'c$ulessequals'(X0,X0,'tc$unat'),
inference(superposition,[status(thm)],[c4,c2]) ).
cnf(d2,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X1),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| X0 = X1
| ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs'),X0,'tc$unat') ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d3,plain,
( 'c$uin'('c$uMessage$uOmsg$uONonce'(X0),'c$uEvent$uOused'('v$uevs$uH'),'tc$uMessage$uOmsg')
| 'v$usko$u$uurX'('v$uevs') = X0 ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'c$ulessequals'('v$usko$u$uurX'('v$uevs$uH'),X0,'tc$unat')
| 'v$usko$u$uurX'('v$uevs') = X0 ),
inference(resolution,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
'v$usko$u$uurX'('v$uevs') = 'v$usko$u$uurX'('v$uevs$uH'),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'v$usko$u$uurX'('v$uevs') = 'c$uplus'(X0,'v$usko$u$uurX'('v$uevs$uH'),'tc$unat'),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d7,plain,
'v$usko$u$uurX'('v$uevs$uH') = 'c$uplus'(X0,'v$usko$u$uurX'('v$uevs$uH'),'tc$unat'),
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( 'c$u0' = X0
| 'v$usko$u$uurX'('v$uevs$uH') != 'v$usko$u$uurX'('v$uevs$uH') ),
inference(superposition,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
'c$u0' = X0,
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
X0 = X1,
inference(superposition,[status(thm)],[d9,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 13:27:11 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.10/7.09 % SZS status Unsatisfiable for theBenchmark.p
% 11.10/7.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------