%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV749-1 : 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 : n027.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 166.76s 117.33s
% Output : CNFRefutation 167.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of clauses : 71 ( 41 unt; 8 nHn; 51 RR)
% Number of literals : 109 ( 52 equ; 53 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-3 aty)
% Number of variables : 135 ( 86 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_11,negated_conjecture,
( v_K = v_Ka
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
cnf(cls_conjecture_10,negated_conjecture,
hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_Crypt__notin__initState_0,axiom,
~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
cnf(cls_conjecture_7,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_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/sandbox/benchmark/theBenchmark.p',cls_insert__code_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_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_msg_Osimps_I18_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_msg_Osimps_I36_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
cnf(cls_msg_Osimps_I11_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
cnf(cls_msg_Osimps_I48_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
cnf(cls_msg_Osimps_I7_J_1,axiom,
( X2 = X4
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
cnf(cls_msg_Osimps_I34_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
cnf(c_0_20,negated_conjecture,
( v_K = v_Ka
| ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
cls_conjecture_11 ).
cnf(c_0_21,negated_conjecture,
hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)),
cls_conjecture_10 ).
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,axiom,
~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg)),
cls_Crypt__notin__initState_0 ).
cnf(c_0_25,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
cls_knows__Nil_0 ).
cnf(c_0_26,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
cls_conjecture_7 ).
cnf(c_0_27,negated_conjecture,
v_Ka = v_K,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_28,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_29,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_30,plain,
~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
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_Aa))) = v_X,
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0 ).
cnf(c_0_33,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0 ).
cnf(c_0_34,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_35,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_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
~ hBOOL(c_in(v_X,c_Message_Oparts(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,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_38,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_39,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
~ hBOOL(c_in(v_X,c_Message_Oanalz(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
cnf(c_0_44,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I18_J_0 ).
cnf(c_0_45,negated_conjecture,
~ hBOOL(hAPP(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),v_X)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
c_Message_Omsg_OAgent(X1) != v_X,
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( v_X = c_Public_Okeymode_OEncryption
| v_X = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_50,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I36_J_0 ).
cnf(c_0_51,negated_conjecture,
( v_X = c_Public_Okeymode_OEncryption
| c_Message_Omsg_OAgent(X1) != c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
c_Message_Omsg_ONonce(X1) != v_X,
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_54,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I11_J_0 ).
cnf(c_0_55,negated_conjecture,
( c_Message_Omsg_OAgent(X1) = c_Public_Okeymode_OEncryption
| v_X = c_Public_Okeymode_OEncryption ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( v_X = c_Public_Okeymode_OEncryption
| c_Message_Omsg_ONonce(X1) != c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( v_X = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption != c_Message_Omsg_ONonce(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
cls_msg_Osimps_I48_J_0 ).
cnf(c_0_59,negated_conjecture,
v_X = c_Public_Okeymode_OEncryption,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_52]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
v_X != c_Message_Omsg_OMPair(X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_31]) ).
cnf(c_0_61,negated_conjecture,
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_Aa))) = c_Public_Okeymode_OEncryption,
inference(rw,[status(thm)],[c_0_31,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
c_Public_Okeymode_OEncryption != c_Message_Omsg_OMPair(X1,X2),
inference(rw,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_63,axiom,
( X2 = X4
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
cls_msg_Osimps_I7_J_1 ).
cnf(c_0_64,negated_conjecture,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Public_Okeymode_OSignature) = c_Public_Okeymode_OEncryption,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( c_Public_Okeymode_OSignature = X1
| c_Public_Okeymode_OEncryption != c_Message_Omsg_OCrypt(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_66,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I34_J_0 ).
cnf(c_0_67,negated_conjecture,
c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)) = c_Public_Okeymode_OSignature,
inference(spm,[status(thm)],[c_0_65,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
c_Message_Omsg_ONonce(X1) != c_Public_Okeymode_OSignature,
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_69,negated_conjecture,
c_Message_Omsg_ONonce(X1) != c_Public_Okeymode_OEncryption,
inference(rw,[status(thm)],[c_0_53,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_52]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV749-1 : 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 : n027.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 05:54:50 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 166.76/117.33 % Version : CSE_E---1.7
% 166.76/117.33 % Problem : theBenchmark.p
% 166.76/117.33 % SZS status Unsatisfiable for theBenchmark.p
% 166.76/117.33 % SZS output start CNFRefutation
% See solution above
% 167.37/117.95 % Total time : 92.699s
%------------------------------------------------------------------------------