%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV748-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 05:27:19 PM UTC 2026
% Result : Unsatisfiable 2.01s 2.00s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 55 ( 14 unt; 23 nHn; 47 RR)
% Number of literals : 114 ( 39 equ; 34 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 16 con; 0-3 aty)
% Number of variables : 47 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_41,negated_conjecture,
( v_K = v_KAB
| v_K = v_KAB
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_41) ).
cnf(cls_conjecture_53,negated_conjecture,
( v_K = v_KAB
| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| hAPP(c_Public_OshrK,v_Ba) = v_KAB
| v_K = v_KAB
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_53) ).
cnf(cls_conjecture_17,negated_conjecture,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_K = v_KAB ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_17) ).
cnf(cls_conjecture_40,negated_conjecture,
( v_K = v_KAB
| v_K = v_KAB
| hAPP(c_Public_OshrK,v_Ba) != v_KAB
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_40) ).
cnf(cls_conjecture_32,negated_conjecture,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_32) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| v_A = v_Aa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_Oops__parts__spies_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X1,X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
cnf(cls_conjecture_12,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| v_B = v_Ba ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
cnf(cls_conjecture_3,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_usedI_0,axiom,
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_analz__conj__parts_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_15,negated_conjecture,
( v_K = v_KAB
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_41]) ).
cnf(c_0_16,negated_conjecture,
( v_K = v_KAB
| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| hAPP(c_Public_OshrK,v_Ba) = v_KAB
| v_K = v_KAB
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
cls_conjecture_53 ).
cnf(c_0_17,negated_conjecture,
( v_K = v_KAB
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
c_0_15 ).
cnf(c_0_18,negated_conjecture,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| v_K = v_KAB ),
cls_conjecture_17 ).
cnf(c_0_19,negated_conjecture,
( v_K = v_KAB
| hAPP(c_Public_OshrK,v_Ba) != v_KAB
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_40]) ).
cnf(c_0_20,negated_conjecture,
( v_K = v_KAB
| hAPP(c_Public_OshrK,v_Ba) = v_KAB
| hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(cn,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( v_KAB = v_K
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( v_K = v_KAB
| hAPP(c_Public_OshrK,v_Ba) != v_KAB
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
c_0_19 ).
cnf(c_0_23,negated_conjecture,
( hAPP(c_Public_OshrK,v_Ba) = v_KAB
| v_KAB = v_K ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_20,c_0_18]),c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
cls_conjecture_32 ).
cnf(c_0_25,negated_conjecture,
( v_KAB = v_K
| ~ hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(csr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_27,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_28,negated_conjecture,
( hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
inference(cn,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
v_KAB = v_K,
inference(csr,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| v_A = v_Aa ),
cls_conjecture_6 ).
cnf(c_0_32,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X1,X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Oops__parts__spies_0 ).
cnf(c_0_33,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent))
| v_B = v_Ba ),
cls_conjecture_12 ).
cnf(c_0_34,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
cls_conjecture_3 ).
cnf(c_0_35,negated_conjecture,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_37,negated_conjecture,
( v_A = v_Aa
| hBOOL(hAPP(c_List_Oset(v_evs2,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,axiom,
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
cls_usedI_0 ).
cnf(c_0_39,negated_conjecture,
( v_B = v_Ba
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(rw,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_41,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
cls_analz__conj__parts_0 ).
cnf(c_0_42,negated_conjecture,
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),hAPP(c_Message_Omsg_OKey,v_K)))
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
( v_A = v_Aa
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
v_B = v_Ba,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_45,plain,
( hBOOL(c_in(X1,c_Event_Oused(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_38,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),X1))
| hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)) ),
inference(spm,[status(thm)],[c_0_36,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( v_A = v_Aa
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs2,tc_Event_Oevent),X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_44]) ).
cnf(c_0_48,negated_conjecture,
hBOOL(c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( v_A = v_Aa
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
hBOOL(hAPP(c_Event_Obad,v_Aa)),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
cls_conjecture_0 ).
cnf(c_0_52,negated_conjecture,
v_A = v_Aa,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_49]),c_0_40]) ).
cnf(c_0_53,negated_conjecture,
hBOOL(c_in(v_Aa,c_Event_Obad,X1)),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV748-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n008.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 05:54:58 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 2.01/2.00 % Version : CSE_E---1.7
% 2.01/2.00 % Problem : theBenchmark.p
% 2.01/2.00 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/2.00 % SZS output start CNFRefutation
% See solution above
% 2.01/2.00 % Total time : 1.426s
%------------------------------------------------------------------------------