%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV765-1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n021.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 05:27:21 PM UTC 2026
% Result : Unsatisfiable 127.44s 84.61s
% Output : CNFRefutation 127.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of clauses : 114 ( 47 unt; 9 nHn; 69 RR)
% Number of literals : 193 ( 75 equ; 86 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-3 aty)
% Number of variables : 237 ( 72 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Un__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_parts__Un_0,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un_0) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_keymode_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_analz__insert__eq_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_Un__insert__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_analz_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
cnf(cls_parts_OBody_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_parts_OInj_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_Says__imp__knows_0,axiom,
( hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
cnf(cls_conjecture_3,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_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_parts_OSnd_0,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_keysFor__insert__Crypt_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X3),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Crypt_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_synth__increasing_0,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
cnf(cls_analz__mono_0,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono_0) ).
cnf(cls_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
cnf(cls_agent_Osimps_I7_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_agent_Oinject_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_34,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Un__absorb1_0 ).
cnf(c_0_35,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__Un_0 ).
cnf(c_0_36,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_set__eq__subset_2 ).
cnf(c_0_37,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0 ).
cnf(c_0_38,plain,
( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X2)
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_40,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
cls_keymode_Oinduct_0 ).
cnf(c_0_41,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_42,plain,
( c_Message_Oparts(X1) = X1
| ~ c_lessequals(c_Message_Oparts(X1),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_39]) ).
cnf(c_0_44,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0 ).
cnf(c_0_45,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_46,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
cls_analz__insert__eq_0 ).
cnf(c_0_47,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_48,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X3))
| ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_50,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_51,plain,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_45]) ).
cnf(c_0_52,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
cls_Un__insert__left_0 ).
cnf(c_0_53,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_41,c_0_47]) ).
cnf(c_0_54,axiom,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_analz_OInj_0 ).
cnf(c_0_55,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
cls_parts_OBody_0 ).
cnf(c_0_56,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
cls_parts_OInj_0 ).
cnf(c_0_57,axiom,
( hBOOL(c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)) ),
cls_Says__imp__knows_0 ).
cnf(c_0_58,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_evs,tc_Event_Oevent),tc_Event_Oevent)),
cls_conjecture_3 ).
cnf(c_0_59,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_60,plain,
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2),X3))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0 ).
cnf(c_0_62,plain,
( c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg) = c_Message_Oparts(X2)
| ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_50]) ).
cnf(c_0_63,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_64,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,axiom,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)) ),
cls_parts_OSnd_0 ).
cnf(c_0_66,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
hBOOL(c_in(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_Event_Oknows(c_Message_Oagent_OServer,v_evs),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,plain,
( c_Message_Oparts(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_65,c_0_56]) ).
cnf(c_0_72,negated_conjecture,
hBOOL(c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_68,c_0_41]) ).
cnf(c_0_74,plain,
( c_Message_Oparts(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_63,c_0_41]) ).
cnf(c_0_76,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
cls_subset__Un__eq_1 ).
cnf(c_0_77,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0 ).
cnf(c_0_78,negated_conjecture,
hBOOL(c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_39]) ).
cnf(c_0_79,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_80,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_73]) ).
cnf(c_0_81,plain,
c_Message_Oparts(c_Set_Oinsert(X1,X2,X3)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X3),tc_nat),
cls_keysFor__insert__Crypt_0 ).
cnf(c_0_83,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0 ).
cnf(c_0_84,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_synth__increasing_0 ).
cnf(c_0_85,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
cls_analz__mono_0 ).
cnf(c_0_86,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) != X2 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
hBOOL(c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_78]),c_0_39]) ).
cnf(c_0_88,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I2_J_0 ).
cnf(c_0_89,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I7_J_0 ).
cnf(c_0_91,plain,
c_Message_Oparts(c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
( hBOOL(hAPP(c_Message_Osynth(X1),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(c_Message_Oanalz(X3),X2))
| ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_83,c_0_85]) ).
cnf(c_0_94,plain,
( c_lessequals(c_Message_Oparts(X1),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X1) != X1 ),
inference(spm,[status(thm)],[c_0_86,c_0_50]) ).
cnf(c_0_95,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0 ).
cnf(c_0_96,negated_conjecture,
hBOOL(c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_87]),c_0_39]) ).
cnf(c_0_97,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_98,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_90,c_0_89]) ).
cnf(c_0_99,plain,
( c_Message_Oparts(c_Message_OkeysFor(X1)) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,X3),X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_91,c_0_47]) ).
cnf(c_0_100,plain,
( hBOOL(c_in(X1,c_Message_Osynth(X2),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_92]) ).
cnf(c_0_101,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| c_Message_Oparts(X1) != X1
| ~ hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_102,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),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_53,c_0_96]) ).
cnf(c_0_103,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_89])]) ).
cnf(c_0_104,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
cls_agent_Oinject_0 ).
cnf(c_0_105,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_89])]) ).
cnf(c_0_106,plain,
( c_Message_Oparts(c_Message_OkeysFor(c_Message_Osynth(X1))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(hAPP(X1,c_Message_Omsg_OCrypt(X2,X3))) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)),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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_90,c_0_103]) ).
cnf(c_0_109,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_105]) ).
cnf(c_0_110,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_111,negated_conjecture,
( c_Message_Oparts(c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OServer,v_evs))))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OServer,v_evs)) != c_Event_Oknows(c_Message_Oagent_OServer,v_evs) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,plain,
X1 = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_111,c_0_112]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV765-1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n021.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 05:56:55 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 127.44/84.61 % Version : CSE_E---1.7
% 127.44/84.61 % Problem : theBenchmark.p
% 127.44/84.61 % SZS status Unsatisfiable for theBenchmark.p
% 127.44/84.61 % SZS output start CNFRefutation
% See solution above
% 127.87/85.04 % Total time : 68.185s
%------------------------------------------------------------------------------