TSTP Solution File: SWV768-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV768-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 05:42:19 EDT 2024

% Result   : Unsatisfiable 1.19s 0.58s
% Output   : CNFRefutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   40 (  25 unt;   0 nHn;  33 RR)
%            Number of literals    :   61 (   5 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  11 con; 0-3 aty)
%            Number of variables   :   40 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
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_conjecture_13,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).

cnf(cls_conjecture_9,negated_conjecture,
    v_K = v_KAB,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

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_conjecture_3,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
    ( hBOOL(c_in(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/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).

cnf(cls_invKey__K_0,axiom,
    ( c_Message_OinvKey(X1) = X1
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_new__keys__not__used_0,axiom,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).

cnf(c_0_10,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).

cnf(c_0_11,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    cls_conjecture_13 ).

cnf(c_0_12,negated_conjecture,
    v_K = v_KAB,
    cls_conjecture_9 ).

cnf(c_0_13,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_14,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    c_0_10 ).

cnf(c_0_15,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
    cls_conjecture_3 ).

cnf(c_0_17,plain,
    ( hBOOL(c_in(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_18,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_13 ).

cnf(c_0_19,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
    inference(rw,[status(thm)],[c_0_16,c_0_12]) ).

cnf(c_0_21,plain,
    ( hBOOL(c_in(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_17 ).

cnf(c_0_22,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
    inference(fof_simplification,[status(thm)],[cls_invKey__K_0]) ).

cnf(c_0_24,negated_conjecture,
    hBOOL(hAPP(c_Message_OsymKeys,v_K)),
    inference(spm,[status(thm)],[c_0_14,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    hBOOL(c_in(c_Message_OinvKey(v_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
    c_0_23 ).

cnf(c_0_27,negated_conjecture,
    hBOOL(c_in(v_K,c_Message_OsymKeys,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_29,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    cls_conjecture_1 ).

cnf(c_0_30,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_31,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
    inference(fof_simplification,[status(thm)],[cls_new__keys__not__used_0]) ).

cnf(c_0_32,negated_conjecture,
    hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),v_K)),
    inference(spm,[status(thm)],[c_0_14,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
    inference(spm,[status(thm)],[c_0_14,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    c_0_30 ).

cnf(c_0_35,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat)) ),
    c_0_31 ).

cnf(c_0_36,negated_conjecture,
    hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    inference(rw,[status(thm)],[c_0_34,c_0_12]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_27])]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWV768-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sun May 19 07:20:07 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.19/0.58  # Version: 3.1.0
% 1.19/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.19/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.19/0.58  # Starting new_bool_3 with 300s (1) cores
% 1.19/0.58  # Starting new_bool_1 with 300s (1) cores
% 1.19/0.58  # Starting sh5l with 300s (1) cores
% 1.19/0.58  # sh5l with pid 1153 completed with status 0
% 1.19/0.58  # Result found by sh5l
% 1.19/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.19/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.19/0.58  # Starting new_bool_3 with 300s (1) cores
% 1.19/0.58  # Starting new_bool_1 with 300s (1) cores
% 1.19/0.58  # Starting sh5l with 300s (1) cores
% 1.19/0.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.19/0.58  # Search class: FGHSM-FSLM31-DFFFFFNN
% 1.19/0.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.19/0.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.19/0.58  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1159 completed with status 0
% 1.19/0.58  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.19/0.58  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.19/0.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.58  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.19/0.58  # Starting new_bool_3 with 300s (1) cores
% 1.19/0.58  # Starting new_bool_1 with 300s (1) cores
% 1.19/0.58  # Starting sh5l with 300s (1) cores
% 1.19/0.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 1.19/0.58  # Search class: FGHSM-FSLM31-DFFFFFNN
% 1.19/0.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.19/0.58  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.19/0.58  # Preprocessing time       : 0.007 s
% 1.19/0.58  # Presaturation interreduction done
% 1.19/0.58  
% 1.19/0.58  # Proof found!
% 1.19/0.58  # SZS status Unsatisfiable
% 1.19/0.58  # SZS output start CNFRefutation
% See solution above
% 1.19/0.58  # Parsed axioms                        : 578
% 1.19/0.58  # Removed by relevancy pruning/SinE    : 48
% 1.19/0.58  # Initial clauses                      : 530
% 1.19/0.58  # Removed in clause preprocessing      : 0
% 1.19/0.58  # Initial clauses in saturation        : 530
% 1.19/0.58  # Processed clauses                    : 1326
% 1.19/0.58  # ...of these trivial                  : 59
% 1.19/0.58  # ...subsumed                          : 313
% 1.19/0.58  # ...remaining for further processing  : 954
% 1.19/0.58  # Other redundant clauses eliminated   : 14
% 1.19/0.58  # Clauses deleted for lack of memory   : 0
% 1.19/0.58  # Backward-subsumed                    : 8
% 1.19/0.58  # Backward-rewritten                   : 36
% 1.19/0.58  # Generated clauses                    : 2988
% 1.19/0.58  # ...of the previous two non-redundant : 2379
% 1.19/0.58  # ...aggressively subsumed             : 0
% 1.19/0.58  # Contextual simplify-reflections      : 0
% 1.19/0.58  # Paramodulations                      : 2948
% 1.19/0.58  # Factorizations                       : 0
% 1.19/0.58  # NegExts                              : 0
% 1.19/0.58  # Equation resolutions                 : 40
% 1.19/0.58  # Disequality decompositions           : 0
% 1.19/0.58  # Total rewrite steps                  : 1335
% 1.19/0.58  # ...of those cached                   : 853
% 1.19/0.58  # Propositional unsat checks           : 0
% 1.19/0.58  #    Propositional check models        : 0
% 1.19/0.58  #    Propositional check unsatisfiable : 0
% 1.19/0.58  #    Propositional clauses             : 0
% 1.19/0.58  #    Propositional clauses after purity: 0
% 1.19/0.58  #    Propositional unsat core size     : 0
% 1.19/0.58  #    Propositional preprocessing time  : 0.000
% 1.19/0.58  #    Propositional encoding time       : 0.000
% 1.19/0.58  #    Propositional solver time         : 0.000
% 1.19/0.58  #    Success case prop preproc time    : 0.000
% 1.19/0.58  #    Success case prop encoding time   : 0.000
% 1.19/0.58  #    Success case prop solver time     : 0.000
% 1.19/0.58  # Current number of processed clauses  : 504
% 1.19/0.58  #    Positive orientable unit clauses  : 196
% 1.19/0.58  #    Positive unorientable unit clauses: 4
% 1.19/0.58  #    Negative unit clauses             : 89
% 1.19/0.58  #    Non-unit-clauses                  : 215
% 1.19/0.58  # Current number of unprocessed clauses: 1978
% 1.19/0.58  # ...number of literals in the above   : 3582
% 1.19/0.58  # Current number of archived formulas  : 0
% 1.19/0.58  # Current number of archived clauses   : 450
% 1.19/0.58  # Clause-clause subsumption calls (NU) : 40486
% 1.19/0.58  # Rec. Clause-clause subsumption calls : 22507
% 1.19/0.58  # Non-unit clause-clause subsumptions  : 168
% 1.19/0.58  # Unit Clause-clause subsumption calls : 4611
% 1.19/0.58  # Rewrite failures with RHS unbound    : 0
% 1.19/0.58  # BW rewrite match attempts            : 479
% 1.19/0.58  # BW rewrite match successes           : 119
% 1.19/0.58  # Condensation attempts                : 0
% 1.19/0.58  # Condensation successes               : 0
% 1.19/0.58  # Termbank termtop insertions          : 67279
% 1.19/0.58  # Search garbage collected termcells   : 1264
% 1.19/0.58  
% 1.19/0.58  # -------------------------------------------------
% 1.19/0.58  # User time                : 0.124 s
% 1.19/0.58  # System time              : 0.009 s
% 1.19/0.58  # Total time               : 0.133 s
% 1.19/0.58  # Maximum resident set size: 2984 pages
% 1.19/0.58  
% 1.19/0.58  # -------------------------------------------------
% 1.19/0.58  # User time                : 0.139 s
% 1.19/0.58  # System time              : 0.012 s
% 1.19/0.58  # Total time               : 0.151 s
% 1.19/0.58  # Maximum resident set size: 2188 pages
% 1.19/0.58  % E---3.1 exiting
%------------------------------------------------------------------------------