TSTP Solution File: SWV729-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV729-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:07:43 EDT 2023
% Result : Unsatisfiable 26.45s 3.86s
% Output : CNFRefutation 26.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of clauses : 90 ( 38 unt; 9 nHn; 46 RR)
% Number of literals : 154 ( 67 equ; 66 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 181 ( 57 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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_parts__Un_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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_keymode_Oinduct_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_insert__code_1) ).
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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_equalityI_0) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_parts__idem_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_insert__code_2) ).
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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_Un__commute_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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_Un__upper2_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/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_insert__code_0) ).
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/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_predicate1D_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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_analz__mono_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_insert__absorb_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_analz__parts_0) ).
cnf(cls_conjecture_0,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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_conjecture_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_bot1E_0) ).
cnf(cls_analz__insert_0,axiom,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_analz__insert_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_mem__def_1) ).
cnf(cls_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_agent_Osimps_I7_J_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_subset__insertI_0) ).
cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
( hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_Crypt__imp__invKey__keysFor_0) ).
cnf(cls_invKey__shrK_0,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_invKey__shrK_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/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_insert__not__empty_0) ).
cnf(cls_agent_Oinject_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_agent_Oinject_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_28,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_29,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_30,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_31,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_32,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_33,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0 ).
cnf(c_0_34,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_28,c_0_29]) ).
cnf(c_0_35,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_36,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_30,c_0_31]) ).
cnf(c_0_37,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2 ).
cnf(c_0_38,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_39,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_40,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_32,c_0_33]) ).
cnf(c_0_41,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_34,c_0_33]),c_0_35]) ).
cnf(c_0_42,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_43,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0 ).
cnf(c_0_44,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_36,c_0_37]) ).
cnf(c_0_45,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0 ).
cnf(c_0_46,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_47,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_38,c_0_39]) ).
cnf(c_0_48,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_40,c_0_41]),c_0_42])]) ).
cnf(c_0_49,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
cls_insert__absorb_0 ).
cnf(c_0_50,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
| ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(hAPP(c_Message_Oanalz(X3),X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,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_47,c_0_48]) ).
cnf(c_0_53,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0 ).
cnf(c_0_54,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_55,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),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
cls_conjecture_0 ).
cnf(c_0_56,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_57,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_51,c_0_52]),c_0_53]) ).
cnf(c_0_58,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),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),v_X)))))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_60,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_56]) ).
cnf(c_0_61,axiom,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__insert_0 ).
cnf(c_0_62,axiom,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_63,negated_conjecture,
( hBOOL(hAPP(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),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),v_X))))))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I2_J_0 ).
cnf(c_0_65,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I7_J_0 ).
cnf(c_0_67,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_68,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(c_0_69,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_62,c_0_31]) ).
cnf(c_0_70,axiom,
( hBOOL(c_in(hAPP(c_Message_OinvKey,X1),c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
cls_Crypt__imp__invKey__keysFor_0 ).
cnf(c_0_71,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),v_X)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X1))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
cls_invKey__shrK_0 ).
cnf(c_0_73,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_75,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_76,plain,
( c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg) = c_Message_Oanalz(X2)
| ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_49]),c_0_68])]) ).
cnf(c_0_77,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_69,c_0_49]) ).
cnf(c_0_78,negated_conjecture,
( hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_nat))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_79,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_73,c_0_65])]) ).
cnf(c_0_80,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
cls_agent_Oinject_0 ).
cnf(c_0_81,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_74,c_0_65])]) ).
cnf(c_0_82,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_75,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( hBOOL(c_in(hAPP(c_Public_OshrK,v_A),c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),X1))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_66,c_0_79]) ).
cnf(c_0_85,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81]) ).
cnf(c_0_86,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0 ).
cnf(c_0_87,negated_conjecture,
( c_Message_Oanalz(c_Message_OkeysFor(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))) != c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) != c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,plain,
X1 = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_87,c_0_88]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV729-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 04:34:36 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.46 Running first-order model finding
% 0.15/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.uCLA93Wwas/E---3.1_6563.p
% 26.45/3.86 # Version: 3.1pre001
% 26.45/3.86 # Preprocessing class: FSLSSMSMSSSNFFN.
% 26.45/3.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.45/3.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 26.45/3.86 # Starting new_bool_3 with 300s (1) cores
% 26.45/3.86 # Starting new_bool_1 with 300s (1) cores
% 26.45/3.86 # Starting sh5l with 300s (1) cores
% 26.45/3.86 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6640 completed with status 0
% 26.45/3.86 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 26.45/3.86 # Preprocessing class: FSLSSMSMSSSNFFN.
% 26.45/3.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.45/3.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 26.45/3.86 # No SInE strategy applied
% 26.45/3.86 # Search class: FGHSM-FSLM31-DFFFFFNN
% 26.45/3.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 26.45/3.86 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 26.45/3.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 26.45/3.86 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 26.45/3.86 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 26.45/3.86 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 26.45/3.86 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 6648 completed with status 0
% 26.45/3.86 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 26.45/3.86 # Preprocessing class: FSLSSMSMSSSNFFN.
% 26.45/3.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 26.45/3.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 26.45/3.86 # No SInE strategy applied
% 26.45/3.86 # Search class: FGHSM-FSLM31-DFFFFFNN
% 26.45/3.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 26.45/3.86 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 26.45/3.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 26.45/3.86 # Preprocessing time : 0.007 s
% 26.45/3.86 # Presaturation interreduction done
% 26.45/3.86
% 26.45/3.86 # Proof found!
% 26.45/3.86 # SZS status Unsatisfiable
% 26.45/3.86 # SZS output start CNFRefutation
% See solution above
% 26.45/3.86 # Parsed axioms : 561
% 26.45/3.86 # Removed by relevancy pruning/SinE : 0
% 26.45/3.86 # Initial clauses : 561
% 26.45/3.86 # Removed in clause preprocessing : 1
% 26.45/3.86 # Initial clauses in saturation : 560
% 26.45/3.86 # Processed clauses : 15982
% 26.45/3.86 # ...of these trivial : 1060
% 26.45/3.86 # ...subsumed : 10982
% 26.45/3.86 # ...remaining for further processing : 3940
% 26.45/3.86 # Other redundant clauses eliminated : 808
% 26.45/3.86 # Clauses deleted for lack of memory : 0
% 26.45/3.86 # Backward-subsumed : 856
% 26.45/3.86 # Backward-rewritten : 326
% 26.45/3.86 # Generated clauses : 206681
% 26.45/3.86 # ...of the previous two non-redundant : 156385
% 26.45/3.86 # ...aggressively subsumed : 0
% 26.45/3.86 # Contextual simplify-reflections : 2
% 26.45/3.86 # Paramodulations : 205467
% 26.45/3.86 # Factorizations : 11
% 26.45/3.86 # NegExts : 0
% 26.45/3.86 # Equation resolutions : 840
% 26.45/3.86 # Total rewrite steps : 97268
% 26.45/3.86 # Propositional unsat checks : 0
% 26.45/3.86 # Propositional check models : 0
% 26.45/3.86 # Propositional check unsatisfiable : 0
% 26.45/3.86 # Propositional clauses : 0
% 26.45/3.86 # Propositional clauses after purity: 0
% 26.45/3.86 # Propositional unsat core size : 0
% 26.45/3.86 # Propositional preprocessing time : 0.000
% 26.45/3.86 # Propositional encoding time : 0.000
% 26.45/3.86 # Propositional solver time : 0.000
% 26.45/3.86 # Success case prop preproc time : 0.000
% 26.45/3.86 # Success case prop encoding time : 0.000
% 26.45/3.86 # Success case prop solver time : 0.000
% 26.45/3.86 # Current number of processed clauses : 1960
% 26.45/3.86 # Positive orientable unit clauses : 1000
% 26.45/3.86 # Positive unorientable unit clauses: 1
% 26.45/3.86 # Negative unit clauses : 38
% 26.45/3.86 # Non-unit-clauses : 921
% 26.45/3.86 # Current number of unprocessed clauses: 139473
% 26.45/3.86 # ...number of literals in the above : 316971
% 26.45/3.86 # Current number of archived formulas : 0
% 26.45/3.86 # Current number of archived clauses : 1981
% 26.45/3.86 # Clause-clause subsumption calls (NU) : 372549
% 26.45/3.86 # Rec. Clause-clause subsumption calls : 313564
% 26.45/3.86 # Non-unit clause-clause subsumptions : 3738
% 26.45/3.86 # Unit Clause-clause subsumption calls : 55041
% 26.45/3.86 # Rewrite failures with RHS unbound : 6018
% 26.45/3.86 # BW rewrite match attempts : 24542
% 26.45/3.86 # BW rewrite match successes : 5653
% 26.45/3.86 # Condensation attempts : 0
% 26.45/3.86 # Condensation successes : 0
% 26.45/3.86 # Termbank termtop insertions : 3338385
% 26.45/3.86
% 26.45/3.86 # -------------------------------------------------
% 26.45/3.86 # User time : 3.163 s
% 26.45/3.86 # System time : 0.128 s
% 26.45/3.86 # Total time : 3.291 s
% 26.45/3.86 # Maximum resident set size: 2816 pages
% 26.45/3.86
% 26.45/3.86 # -------------------------------------------------
% 26.45/3.86 # User time : 15.924 s
% 26.45/3.86 # System time : 0.613 s
% 26.45/3.86 # Total time : 16.537 s
% 26.45/3.86 # Maximum resident set size: 2144 pages
% 26.45/3.86 % E---3.1 exiting
%------------------------------------------------------------------------------