%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV331-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 : Tue May 5 05:21:42 PM UTC 2026
% Result : Unsatisfiable 0.30s 1.67s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 15 RR)
% Number of literals : 27 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Yahalom_Onew__keys__not__used_0,axiom,
( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Onew__keys__not__used_0) ).
cnf(cls_Public_OCrypt__imp__keysFor_0,axiom,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OCrypt__imp__keysFor_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(i_0_6,axiom,
( c_in(c_Message_Omsg_OKey(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
cls_Yahalom_Onew__keys__not__used_0,
[final] ).
cnf(i_0_7,axiom,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
cls_Public_OCrypt__imp__keysFor_0,
[final] ).
cnf(i_0_8,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
cls_conjecture_5,
[final] ).
cnf(i_0_9,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
cls_conjecture_1,
[final] ).
cnf(i_0_10,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0,
[final] ).
cnf(i_0_11,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_2,
[final] ).
cnf(i_0_12,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(scs_inference,[],[i_0_8,i_0_11,i_0_7]) ).
cnf(i_0_13,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_14,plain,
$false,
inference(scs_inference,[],[i_0_8,i_0_9,i_0_10,i_0_11,i_0_7,i_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV331-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 05:03:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.30/1.67 % Version : CSE_E---1.7
% 0.30/1.67 % Problem : theBenchmark.p
% 0.30/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 0.30/1.67 % SZS output start CNFRefutation
% See solution above
% 0.30/1.69 % Total time : 1.324s
%------------------------------------------------------------------------------