%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV742-1 : 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 : n006.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 05:27:18 PM UTC 2026
% Result : Unsatisfiable 14.18s 9.10s
% Output : CNFRefutation 14.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of clauses : 71 ( 31 unt; 9 nHn; 37 RR)
% Number of literals : 119 ( 59 equ; 52 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 130 ( 52 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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_equalityI_0,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_equalityI_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
cnf(cls_analz__analz__Un_0,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).
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_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_Un__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_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_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__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_Spy__in__bad_0,axiom,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_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_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_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_22,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_23,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_24,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_22,c_0_23]) ).
cnf(c_0_25,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_26,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0 ).
cnf(c_0_27,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0 ).
cnf(c_0_28,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
cls_analz__analz__Un_0 ).
cnf(c_0_29,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0 ).
cnf(c_0_30,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0 ).
cnf(c_0_31,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_32,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_24,c_0_25]) ).
cnf(c_0_33,plain,
( c_Message_Oanalz(X1) = X1
| ~ c_lessequals(c_Message_Oanalz(X1),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_35,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_36,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_0 ).
cnf(c_0_38,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_39,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
cls_mem__def_0 ).
cnf(c_0_40,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_41,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_23]) ).
cnf(c_0_42,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X1) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,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_44,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_45,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_46,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,axiom,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)),
cls_Spy__in__bad_0 ).
cnf(c_0_48,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_49,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_41]) ).
cnf(c_0_50,plain,
( c_Message_Oanalz(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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_51,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
hBOOL(hAPP(c_Event_Obad,c_Message_Oagent_OSpy)),
inference(spm,[status(thm)],[c_0_39,c_0_47]) ).
cnf(c_0_53,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I2_J_0 ).
cnf(c_0_54,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I7_J_0 ).
cnf(c_0_56,plain,
( c_Message_Oanalz(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_50,c_0_51]) ).
cnf(c_0_57,plain,
hBOOL(c_in(c_Message_Oagent_OSpy,c_Event_Obad,X1)),
inference(spm,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_58,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_55,c_0_54]) ).
cnf(c_0_60,plain,
c_Message_Oanalz(c_Event_Obad) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,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_58,c_0_54])]) ).
cnf(c_0_62,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
cls_agent_Oinject_0 ).
cnf(c_0_63,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_59,c_0_54])]) ).
cnf(c_0_64,plain,
( c_Message_Oanalz(c_Event_Obad) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_60,c_0_54]) ).
cnf(c_0_65,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_55,c_0_61]) ).
cnf(c_0_66,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63]) ).
cnf(c_0_67,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_68,plain,
( c_Public_Okeymode_OEncryption != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Public_Okeymode_OSignature != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_60,c_0_64]) ).
cnf(c_0_69,plain,
X1 = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_70,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_68,c_0_69]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV742-1 : 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
% 0.14/0.33 % Computer : n006.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 05:54:16 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 14.18/9.10 % Version : CSE_E---1.7
% 14.18/9.10 % Problem : theBenchmark.p
% 14.18/9.10 % SZS status Unsatisfiable for theBenchmark.p
% 14.18/9.10 % SZS output start CNFRefutation
% See solution above
% 14.28/9.16 % Total time : 6.444s
%------------------------------------------------------------------------------