TSTP Solution File: SWV730-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV730-1 : TPTP v8.2.0. 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:31:43 EDT 2024
% Result : Unsatisfiable 25.06s 3.69s
% Output : CNFRefutation 25.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of clauses : 107 ( 43 unt; 10 nHn; 60 RR)
% Number of literals : 187 ( 78 equ; 86 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 : 224 ( 70 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/benchmark/theBenchmark.p',cls_Un__absorb1_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/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
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/benchmark/theBenchmark.p',cls_equalityI_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/benchmark/theBenchmark.p',cls_parts__Un_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_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_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/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_parts__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/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_analz__mono_0) ).
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/benchmark/theBenchmark.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/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
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_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_conjecture_2,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/benchmark/theBenchmark.p',cls_conjecture_2) ).
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_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_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_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/benchmark/theBenchmark.p',cls_analz__insert_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/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_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/benchmark/theBenchmark.p',cls_insert__not__empty_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/benchmark/theBenchmark.p',cls_subset__insertI_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/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
cnf(cls_agent_Oinject_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(c_0_28,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_Un__absorb1_0]) ).
cnf(c_0_29,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
inference(fof_simplification,[status(thm)],[cls_keymode_Oinduct_0]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_equalityI_0]) ).
cnf(c_0_31,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_28 ).
cnf(c_0_32,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_33,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature)) ),
c_0_29 ).
cnf(c_0_34,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_35,plain,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_2]) ).
cnf(c_0_36,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
inference(fof_simplification,[status(thm)],[cls_subset__Un__eq_1]) ).
cnf(c_0_37,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_30 ).
cnf(c_0_38,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0 ).
cnf(c_0_39,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_31,c_0_32]) ).
cnf(c_0_40,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_41,plain,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
inference(fof_simplification,[status(thm)],[cls_insert__code_0]) ).
cnf(c_0_42,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_33,c_0_34]) ).
cnf(c_0_43,plain,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_35 ).
cnf(c_0_44,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_predicate1D_0]) ).
cnf(c_0_45,plain,
( 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)) ),
inference(fof_simplification,[status(thm)],[cls_analz__mono_0]) ).
cnf(c_0_46,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
c_0_36 ).
cnf(c_0_47,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_48,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_37,c_0_38]) ).
cnf(c_0_49,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_39,c_0_38]),c_0_40]) ).
cnf(c_0_50,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_51,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_52,plain,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
c_0_41 ).
cnf(c_0_53,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_42,c_0_43]) ).
cnf(c_0_54,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
c_0_44 ).
cnf(c_0_55,plain,
( 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)) ),
c_0_45 ).
cnf(c_0_56,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_46,c_0_47]) ).
cnf(c_0_57,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_48,c_0_49]),c_0_50])]) ).
cnf(c_0_58,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ hBOOL(c_in(X1,X2,X3)) ),
c_0_51 ).
cnf(c_0_59,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,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_54,c_0_55]) ).
cnf(c_0_61,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_56,c_0_57]) ).
cnf(c_0_62,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0 ).
cnf(c_0_63,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(c_in(X2,X1,X3)) ),
inference(spm,[status(thm)],[c_0_34,c_0_58]) ).
cnf(c_0_64,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_2 ).
cnf(c_0_65,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(fof_simplification,[status(thm)],[cls_bot1E_0]) ).
cnf(c_0_66,plain,
( X1 = c_Public_Okeymode_OSignature
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_34]) ).
cnf(c_0_67,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_68,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_60,c_0_61]),c_0_62]) ).
cnf(c_0_69,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_63,c_0_64]) ).
cnf(c_0_70,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I2_J_0]) ).
cnf(c_0_71,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
c_0_65 ).
cnf(c_0_72,plain,
( X1 = c_Public_Okeymode_OSignature
| X1 = c_Public_Okeymode_OEncryption
| hBOOL(hAPP(X2,X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_66]) ).
cnf(c_0_73,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I7_J_0]) ).
cnf(c_0_74,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_75,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(hAPP(X2,X1)) ),
c_0_67 ).
cnf(c_0_76,plain,
( 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)) ),
inference(fof_simplification,[status(thm)],[cls_Crypt__imp__invKey__keysFor_0]) ).
cnf(c_0_77,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_68,c_0_69]) ).
cnf(c_0_78,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
c_0_70 ).
cnf(c_0_79,plain,
( X1 = c_Public_Okeymode_OEncryption
| X1 = c_Public_Okeymode_OSignature ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
c_0_73 ).
cnf(c_0_81,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(fof_simplification,[status(thm)],[cls_insert__not__empty_0]) ).
cnf(c_0_82,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_37,c_0_74]) ).
cnf(c_0_83,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0 ).
cnf(c_0_84,plain,
hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
inference(spm,[status(thm)],[c_0_75,c_0_34]) ).
cnf(c_0_85,plain,
( 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)) ),
c_0_76 ).
cnf(c_0_86,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_75,c_0_77]) ).
cnf(c_0_87,axiom,
hAPP(c_Message_OinvKey,hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
cls_invKey__shrK_0 ).
cnf(c_0_88,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OServer ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,plain,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
inference(fof_simplification,[status(thm)],[cls_agent_Oinject_0]) ).
cnf(c_0_90,plain,
( c_Message_Oagent_OFriend(X1) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OSignature != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_91,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
c_0_81 ).
cnf(c_0_92,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_82,c_0_58]),c_0_83])]) ).
cnf(c_0_93,plain,
( hBOOL(c_in(X1,X2,X3))
| ~ hBOOL(c_in(X1,X2,X4)) ),
inference(spm,[status(thm)],[c_0_84,c_0_58]) ).
cnf(c_0_94,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_85,c_0_86]),c_0_87]) ).
cnf(c_0_95,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_88,c_0_79])]) ).
cnf(c_0_96,plain,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
c_0_89 ).
cnf(c_0_97,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_90,c_0_79])]) ).
cnf(c_0_98,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(fof_simplification,[status(thm)],[cls_agent_Osimps_I4_J_0]) ).
cnf(c_0_99,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_91,c_0_92]) ).
cnf(c_0_100,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_93,c_0_94]) ).
cnf(c_0_101,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OServer
| c_Public_Okeymode_OEncryption != c_Message_Oagent_OSpy ),
inference(spm,[status(thm)],[c_0_80,c_0_95]) ).
cnf(c_0_102,plain,
( c_Public_Okeymode_OEncryption = c_Message_Oagent_OSpy
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_97]) ).
cnf(c_0_103,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_98 ).
cnf(c_0_104,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_99,c_0_100]) ).
cnf(c_0_105,plain,
X1 = X2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_106,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_104,c_0_105]),c_0_105]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV730-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun May 19 06:45:08 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.06/3.69 # Version: 3.1.0
% 25.06/3.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 25.06/3.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.06/3.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 25.06/3.69 # Starting new_bool_3 with 300s (1) cores
% 25.06/3.69 # Starting new_bool_1 with 300s (1) cores
% 25.06/3.69 # Starting sh5l with 300s (1) cores
% 25.06/3.69 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 679 completed with status 0
% 25.06/3.69 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 25.06/3.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 25.06/3.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.06/3.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 25.06/3.69 # No SInE strategy applied
% 25.06/3.69 # Search class: FGHSM-FSLM31-DFFFFFNN
% 25.06/3.69 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 25.06/3.69 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 25.06/3.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 25.06/3.69 # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 25.06/3.69 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 25.06/3.69 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 25.06/3.69 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 687 completed with status 0
% 25.06/3.69 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 25.06/3.69 # Preprocessing class: FSLSSMSMSSSNFFN.
% 25.06/3.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.06/3.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 25.06/3.69 # No SInE strategy applied
% 25.06/3.69 # Search class: FGHSM-FSLM31-DFFFFFNN
% 25.06/3.69 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 25.06/3.69 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 25.06/3.69 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 25.06/3.69 # Preprocessing time : 0.011 s
% 25.06/3.69 # Presaturation interreduction done
% 25.06/3.69
% 25.06/3.69 # Proof found!
% 25.06/3.69 # SZS status Unsatisfiable
% 25.06/3.69 # SZS output start CNFRefutation
% See solution above
% 25.06/3.69 # Parsed axioms : 561
% 25.06/3.69 # Removed by relevancy pruning/SinE : 0
% 25.06/3.69 # Initial clauses : 561
% 25.06/3.69 # Removed in clause preprocessing : 1
% 25.06/3.69 # Initial clauses in saturation : 560
% 25.06/3.69 # Processed clauses : 15982
% 25.06/3.69 # ...of these trivial : 1060
% 25.06/3.69 # ...subsumed : 10981
% 25.06/3.69 # ...remaining for further processing : 3941
% 25.06/3.69 # Other redundant clauses eliminated : 808
% 25.06/3.69 # Clauses deleted for lack of memory : 0
% 25.06/3.69 # Backward-subsumed : 857
% 25.06/3.69 # Backward-rewritten : 326
% 25.06/3.69 # Generated clauses : 206682
% 25.06/3.69 # ...of the previous two non-redundant : 156386
% 25.06/3.69 # ...aggressively subsumed : 0
% 25.06/3.69 # Contextual simplify-reflections : 2
% 25.06/3.69 # Paramodulations : 205468
% 25.06/3.69 # Factorizations : 11
% 25.06/3.69 # NegExts : 0
% 25.06/3.69 # Equation resolutions : 840
% 25.06/3.69 # Disequality decompositions : 0
% 25.06/3.69 # Total rewrite steps : 97269
% 25.06/3.69 # ...of those cached : 87802
% 25.06/3.69 # Propositional unsat checks : 0
% 25.06/3.69 # Propositional check models : 0
% 25.06/3.69 # Propositional check unsatisfiable : 0
% 25.06/3.69 # Propositional clauses : 0
% 25.06/3.69 # Propositional clauses after purity: 0
% 25.06/3.69 # Propositional unsat core size : 0
% 25.06/3.69 # Propositional preprocessing time : 0.000
% 25.06/3.69 # Propositional encoding time : 0.000
% 25.06/3.69 # Propositional solver time : 0.000
% 25.06/3.69 # Success case prop preproc time : 0.000
% 25.06/3.69 # Success case prop encoding time : 0.000
% 25.06/3.69 # Success case prop solver time : 0.000
% 25.06/3.69 # Current number of processed clauses : 1960
% 25.06/3.69 # Positive orientable unit clauses : 1000
% 25.06/3.69 # Positive unorientable unit clauses: 1
% 25.06/3.69 # Negative unit clauses : 38
% 25.06/3.69 # Non-unit-clauses : 921
% 25.06/3.69 # Current number of unprocessed clauses: 139474
% 25.06/3.69 # ...number of literals in the above : 316973
% 25.06/3.69 # Current number of archived formulas : 0
% 25.06/3.69 # Current number of archived clauses : 1982
% 25.06/3.69 # Clause-clause subsumption calls (NU) : 379396
% 25.06/3.69 # Rec. Clause-clause subsumption calls : 319555
% 25.06/3.69 # Non-unit clause-clause subsumptions : 3738
% 25.06/3.69 # Unit Clause-clause subsumption calls : 46680
% 25.06/3.69 # Rewrite failures with RHS unbound : 6018
% 25.06/3.69 # BW rewrite match attempts : 24542
% 25.06/3.69 # BW rewrite match successes : 5653
% 25.06/3.69 # Condensation attempts : 0
% 25.06/3.69 # Condensation successes : 0
% 25.06/3.69 # Termbank termtop insertions : 3340870
% 25.06/3.69 # Search garbage collected termcells : 985
% 25.06/3.69
% 25.06/3.69 # -------------------------------------------------
% 25.06/3.69 # User time : 2.980 s
% 25.06/3.69 # System time : 0.105 s
% 25.06/3.69 # Total time : 3.085 s
% 25.06/3.69 # Maximum resident set size: 2848 pages
% 25.06/3.69
% 25.06/3.69 # -------------------------------------------------
% 25.06/3.69 # User time : 14.881 s
% 25.06/3.69 # System time : 0.588 s
% 25.06/3.69 # Total time : 15.470 s
% 25.06/3.69 # Maximum resident set size: 2152 pages
% 25.06/3.69 % E---3.1 exiting
% 25.06/3.69 % E exiting
%------------------------------------------------------------------------------