%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV247-2 : 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 : n013.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 09:01:45 AM UTC 2026
% Result : Unsatisfiable 16.03s 2.49s
% Output : CNFRefutation 16.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of clauses : 48 ( 12 unt; 17 nHn; 42 RR)
% Number of literals : 101 ( 0 equ; 39 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 63 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_OCrypt__synth_1,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),X2,'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oanalz_ODecrypt__dest_0,axiom,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X0)),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_OKey__synth_0,axiom,
( 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),X1,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg') ) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ) ).
cnf(cls_Set_OUnCI_0,axiom,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OUnCI_1,axiom,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Set_OUnE_0,axiom,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(cls_conjecture_4,negated_conjecture,
~ 'c$uin'('v$uX','c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg') ).
cnf(c0,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),X2,'tc$uMessage$uOmsg')
| 'c$uin'(X1,'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOsynth'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OCrypt__synth_1]) ).
cnf(c1,plain,
( 'c$uin'(X1,'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X0)),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X0,X1),'c$uMessage$uOanalz'(X2),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz_ODecrypt__dest_0]) ).
cnf(c2,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),X1,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'(X0),'c$uMessage$uOsynth'(X1),'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_OKey__synth_0]) ).
cnf(c3,plain,
( 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| ~ 'c$uin'(X0,X1,'tc$uMessage$uOmsg') ),
inference(clausification,[status(esa)],[cls_Message_Oanalz_OInj_0]) ).
cnf(c4,plain,
( 'c$uin'(X0,'c$uunion'(X3,X1,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_0]) ).
cnf(c5,plain,
( 'c$uin'(X0,'c$uunion'(X1,X3,X2),X2)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OUnCI_1]) ).
cnf(c6,plain,
( 'c$uin'(X0,X1,X3)
| 'c$uin'(X0,X2,X3)
| ~ 'c$uin'(X0,'c$uunion'(X1,X2,X3),X3) ),
inference(clausification,[status(esa)],[cls_Set_OUnE_0]) ).
cnf(c7,plain,
'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c8,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c9,plain,
~ 'c$uin'('v$uX','c$uunion'('c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(d0,plain,
~ 'c$uin'('v$uX','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X2)),X1,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X2,X0),X1,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X2)),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'(X1),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X3)),X1,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X3,X0),'c$uunion'(X1,X2,'tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'(X3,X0),X1,'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'(X3)),X1,'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'(X1,X2,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c8,c6]) ).
cnf(d6,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK',X0),'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d5,c1]) ).
cnf(d7,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK',X0),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK',X0),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[c7,c6]) ).
cnf(d11,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| 'c$uin'('v$uX','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d0,d11]) ).
cnf(d13,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d12,c5]) ).
cnf(d14,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('v$uX','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d13,c0]) ).
cnf(d15,plain,
~ 'c$uin'('v$uX','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(d16,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'('v$uX','c$uMessage$uOanalz'('c$uunion'('v$uG','v$uH','tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d6,d10]) ).
cnf(d18,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d0,d17]) ).
cnf(d19,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d18,c2]) ).
cnf(d20,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('v$uX','c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
( 'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d15,d20]) ).
cnf(d22,plain,
( 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d21,d16]) ).
cnf(d23,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'c$uMessage$uOsynth'('v$uG'),'tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d22,d9]) ).
cnf(d24,plain,
'c$uin'('c$uMessage$uOmsg$uOKey'('c$uMessage$uOinvKey'('v$uK')),'v$uG','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d23,c2]) ).
cnf(d25,plain,
( ~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK',X0),'v$uG','tc$uMessage$uOmsg')
| 'c$uin'(X0,'c$uMessage$uOanalz'('c$uunion'('v$uG',X1,'tc$uMessage$uOmsg')),'tc$uMessage$uOmsg') ),
inference(resolution,[status(thm)],[d24,d4]) ).
cnf(d26,plain,
~ 'c$uin'('c$uMessage$uOmsg$uOCrypt'('v$uK','v$uX'),'v$uG','tc$uMessage$uOmsg'),
inference(resolution,[status(thm)],[d25,d0]) ).
cnf(d27,plain,
$false,
inference(resolution,[status(thm)],[d22,d26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV247-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n013.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 13:21:51 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.03/2.49 % SZS status Unsatisfiable for theBenchmark.p
% 16.03/2.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------