%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN982-1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 09:28:46 PM UTC 2025
% Result : Unsatisfiable 2.38s 0.63s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause37)
% Comments :
%------------------------------------------------------------------------------
cnf(36,plain,
( ~ ssBk(key(X0,a))
| ~ ssIk(key(X0,b)) ),
inference(cnf,[status(esa)],[clause37]) ).
cnf(l0,plain,
( ~ ssBk(key(na,a))
| ~ ssIk(key(na,b)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(33,plain,
( ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1))))
| ~ ssSb(pair(X0,X2))
| ssBk(key(X1,X0)) ),
inference(cnf,[status(esa)],[clause34]) ).
cnf(l1,plain,
( ~ ssM(sent(a,b,pair(encr(triple(a,na,tb(na)),bt),encr(nb(na),na))))
| ~ ssSb(pair(a,na))
| ssBk(key(na,a)) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(24,plain,
( ~ ssP(X0)
| ~ ssIm(X1)
| ssIk(key(X1,X0)) ),
inference(cnf,[status(esa)],[clause25]) ).
cnf(l2,plain,
( ~ ssP(b)
| ~ ssIm(na)
| ssIk(key(na,b)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(29,plain,
( ~ ssBf(X0)
| ~ ssM(sent(X1,b,pair(X1,X0)))
| ssSb(pair(X1,X0)) ),
inference(cnf,[status(esa)],[clause30]) ).
cnf(l4,plain,
( ~ ssBf(na)
| ~ ssM(sent(a,b,pair(a,na)))
| ssSb(pair(a,na)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(3,plain,
ssP(b),
inference(cnf,[status(esa)],[clause4]) ).
cnf(l8,plain,
ssP(b),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
ssBf(na),
inference(cnf,[status(esa)],[clause3]) ).
cnf(l21,plain,
ssBf(na),
inference(instantiation,[status(thm)],[2]) ).
cnf(15,plain,
ssM(sent(a,b,pair(a,na))),
inference(cnf,[status(esa)],[clause16]) ).
cnf(l7,plain,
ssM(sent(a,b,pair(a,na))),
inference(instantiation,[status(thm)],[15]) ).
cnf(26,plain,
( ~ ssP(X0)
| ~ ssP(X1)
| ~ ssIm(X2)
| ssM(sent(X0,X1,X2)) ),
inference(cnf,[status(esa)],[clause27]) ).
cnf(l6,plain,
( ~ ssP(a)
| ~ ssP(b)
| ~ ssIm(pair(encr(triple(a,na,tb(na)),bt),encr(nb(na),na)))
| ssM(sent(a,b,pair(encr(triple(a,na,tb(na)),bt),encr(nb(na),na)))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(13,plain,
( ~ ssIm(pair(X0,X1))
| ssIm(X1) ),
inference(cnf,[status(esa)],[clause14]) ).
cnf(l3,plain,
( ~ ssIm(pair(a,na))
| ssIm(na) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l18,plain,
ssP(b),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
ssP(a),
inference(cnf,[status(esa)],[clause5]) ).
cnf(l9,plain,
ssP(a),
inference(instantiation,[status(thm)],[4]) ).
cnf(25,plain,
( ~ ssIm(X0)
| ~ ssIm(X1)
| ssIm(pair(X0,X1)) ),
inference(cnf,[status(esa)],[clause26]) ).
cnf(l11,plain,
( ~ ssIm(encr(triple(a,na,tb(na)),bt))
| ~ ssIm(encr(nb(na),na))
| ssIm(pair(encr(triple(a,na,tb(na)),bt),encr(nb(na),na))) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(19,plain,
( ~ ssM(sent(X0,X1,X2))
| ssIm(X2) ),
inference(cnf,[status(esa)],[clause20]) ).
cnf(l5,plain,
( ~ ssM(sent(a,b,pair(a,na)))
| ssIm(pair(a,na)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(16,plain,
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X2) ),
inference(cnf,[status(esa)],[clause17]) ).
cnf(l13,plain,
( ~ ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))
| ssIm(encr(triple(a,na,tb(na)),bt)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l10,plain,
ssM(sent(a,b,pair(a,na))),
inference(instantiation,[status(thm)],[15]) ).
cnf(l19,plain,
( ~ ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt))))
| ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(32,plain,
( ~ ssBf(X0)
| ~ ssM(sent(X1,b,pair(X1,X0)))
| ssM(sent(b,t,triple(b,nb(X0),encr(triple(X1,X0,tb(X0)),bt)))) ),
inference(cnf,[status(esa)],[clause33]) ).
cnf(l20,plain,
( ~ ssBf(na)
| ~ ssM(sent(a,b,pair(a,na)))
| ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l37,plain,
ssM(sent(a,b,pair(a,na))),
inference(instantiation,[status(thm)],[15]) ).
cnf(l22,plain,
ssBf(na),
inference(instantiation,[status(thm)],[2]) ).
cnf(28,plain,
( ~ ssP(X0)
| ~ ssIm(X1)
| ~ ssIk(key(X2,X0))
| ssIm(encr(X1,X2)) ),
inference(cnf,[status(esa)],[clause29]) ).
cnf(l44,plain,
( ~ ssP(b)
| ~ ssIm(nb(na))
| ~ ssIk(key(na,b))
| ssIm(encr(nb(na),na)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l45,plain,
ssP(b),
inference(instantiation,[status(thm)],[3]) ).
cnf(l263,plain,
( ~ ssP(b)
| ~ ssIm(na)
| ssIk(key(na,b)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l267,plain,
ssP(b),
inference(instantiation,[status(thm)],[3]) ).
cnf(l265,plain,
( ~ ssIm(pair(a,na))
| ssIm(na) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l269,plain,
( ~ ssM(sent(a,b,pair(a,na)))
| ssIm(pair(a,na)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(17,plain,
( ~ ssIm(triple(X0,X1,X2))
| ssIm(X1) ),
inference(cnf,[status(esa)],[clause18]) ).
cnf(l264,plain,
( ~ ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))
| ssIm(nb(na)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l270,plain,
ssM(sent(a,b,pair(a,na))),
inference(instantiation,[status(thm)],[15]) ).
cnf(l266,plain,
( ~ ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt))))
| ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l268,plain,
( ~ ssBf(na)
| ~ ssM(sent(a,b,pair(a,na)))
| ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l271,plain,
ssBf(na),
inference(instantiation,[status(thm)],[2]) ).
cnf(l401,plain,
ssM(sent(a,b,pair(a,na))),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l8,l21,l7,l6,l3,l18,l9,l11,l5,l13,l10,l19,l20,l37,l22,l44,l45,l263,l267,l265,l269,l264,l270,l266,l268,l271,l401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN982-1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 18:53:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.35 % launching worker at depth: 12
% 0.13/0.37 % launching worker at depth: 13
% 0.13/0.40 % launching worker at depth: 14
% 0.19/0.49 % launching worker at depth: 15
% 2.38/0.63 % SZS status Theorem for theBenchmark
% 2.38/0.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------