TSTP Solution File: SWV756-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 20:07:47 EDT 2023

% Result   : Unsatisfiable 0.38s 0.69s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  18 unt;   0 nHn;  20 RR)
%            Number of literals    :   42 (   2 equ;  17 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    :   20 (  20 usr;  10 con; 0-3 aty)
%            Number of variables   :   34 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_insert__code_1) ).

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.y3kL2jfmcF/E---3.1_26930.p',cls_insert__absorb_0) ).

cnf(cls_conjecture_10,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_conjecture_10) ).

cnf(cls_conjecture_2,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_conjecture_2) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_mem__def_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_conjecture_0) ).

cnf(cls_Crypt__imp__keysFor_0,axiom,
    ( hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat))
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_Crypt__imp__keysFor_0) ).

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/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_new__keys__not__used_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.y3kL2jfmcF/E---3.1_26930.p',cls_conjecture_1) ).

cnf(c_0_9,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1 ).

cnf(c_0_10,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    cls_insert__absorb_0 ).

cnf(c_0_11,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
    cls_conjecture_10 ).

cnf(c_0_13,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
    cls_conjecture_2 ).

cnf(c_0_14,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1 ).

cnf(c_0_15,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    cls_conjecture_0 ).

cnf(c_0_18,axiom,
    ( hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat))
    | ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
    cls_Crypt__imp__keysFor_0 ).

cnf(c_0_19,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,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_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    hBOOL(c_in(v_KAB,c_Message_OsymKeys,X1)),
    inference(spm,[status(thm)],[c_0_14,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
    inference(spm,[status(thm)],[c_0_11,c_0_17]) ).

cnf(c_0_22,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)) ),
    cls_new__keys__not__used_0 ).

cnf(c_0_23,negated_conjecture,
    hBOOL(c_in(v_KAB,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_18,c_0_19]),c_0_20])]) ).

cnf(c_0_24,negated_conjecture,
    hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1)),
    inference(spm,[status(thm)],[c_0_14,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
    cls_conjecture_1 ).

cnf(c_0_26,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_22,c_0_23]),c_0_24]),c_0_20])]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 04:03:49 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  Running first-order model finding
% 0.20/0.52  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.y3kL2jfmcF/E---3.1_26930.p
% 0.38/0.69  # Version: 3.1pre001
% 0.38/0.69  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.69  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.69  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.69  # Starting sh5l with 300s (1) cores
% 0.38/0.69  # sh5l with pid 27010 completed with status 0
% 0.38/0.69  # Result found by sh5l
% 0.38/0.69  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.69  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.69  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.69  # Starting sh5l with 300s (1) cores
% 0.38/0.69  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.38/0.69  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.38/0.69  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.69  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.38/0.69  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 27013 completed with status 0
% 0.38/0.69  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.38/0.69  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.38/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.69  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.38/0.69  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.69  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.69  # Starting sh5l with 300s (1) cores
% 0.38/0.69  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.38/0.69  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.38/0.69  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.69  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.38/0.69  # Preprocessing time       : 0.009 s
% 0.38/0.69  # Presaturation interreduction done
% 0.38/0.69  
% 0.38/0.69  # Proof found!
% 0.38/0.69  # SZS status Unsatisfiable
% 0.38/0.69  # SZS output start CNFRefutation
% See solution above
% 0.38/0.69  # Parsed axioms                        : 590
% 0.38/0.69  # Removed by relevancy pruning/SinE    : 39
% 0.38/0.69  # Initial clauses                      : 551
% 0.38/0.69  # Removed in clause preprocessing      : 0
% 0.38/0.69  # Initial clauses in saturation        : 551
% 0.38/0.69  # Processed clauses                    : 1543
% 0.38/0.69  # ...of these trivial                  : 47
% 0.38/0.69  # ...subsumed                          : 467
% 0.38/0.69  # ...remaining for further processing  : 1029
% 0.38/0.69  # Other redundant clauses eliminated   : 25
% 0.38/0.69  # Clauses deleted for lack of memory   : 0
% 0.38/0.69  # Backward-subsumed                    : 12
% 0.38/0.69  # Backward-rewritten                   : 30
% 0.38/0.69  # Generated clauses                    : 3550
% 0.38/0.69  # ...of the previous two non-redundant : 2857
% 0.38/0.69  # ...aggressively subsumed             : 0
% 0.38/0.69  # Contextual simplify-reflections      : 0
% 0.38/0.69  # Paramodulations                      : 3502
% 0.38/0.69  # Factorizations                       : 0
% 0.38/0.69  # NegExts                              : 0
% 0.38/0.69  # Equation resolutions                 : 48
% 0.38/0.69  # Total rewrite steps                  : 1578
% 0.38/0.69  # Propositional unsat checks           : 0
% 0.38/0.69  #    Propositional check models        : 0
% 0.38/0.69  #    Propositional check unsatisfiable : 0
% 0.38/0.69  #    Propositional clauses             : 0
% 0.38/0.69  #    Propositional clauses after purity: 0
% 0.38/0.69  #    Propositional unsat core size     : 0
% 0.38/0.69  #    Propositional preprocessing time  : 0.000
% 0.38/0.69  #    Propositional encoding time       : 0.000
% 0.38/0.69  #    Propositional solver time         : 0.000
% 0.38/0.69  #    Success case prop preproc time    : 0.000
% 0.38/0.69  #    Success case prop encoding time   : 0.000
% 0.38/0.69  #    Success case prop solver time     : 0.000
% 0.38/0.69  # Current number of processed clauses  : 558
% 0.38/0.69  #    Positive orientable unit clauses  : 202
% 0.38/0.69  #    Positive unorientable unit clauses: 5
% 0.38/0.69  #    Negative unit clauses             : 118
% 0.38/0.69  #    Non-unit-clauses                  : 233
% 0.38/0.69  # Current number of unprocessed clauses: 2292
% 0.38/0.69  # ...number of literals in the above   : 4274
% 0.38/0.69  # Current number of archived formulas  : 0
% 0.38/0.69  # Current number of archived clauses   : 471
% 0.38/0.69  # Clause-clause subsumption calls (NU) : 41449
% 0.38/0.69  # Rec. Clause-clause subsumption calls : 24173
% 0.38/0.69  # Non-unit clause-clause subsumptions  : 199
% 0.38/0.69  # Unit Clause-clause subsumption calls : 4026
% 0.38/0.69  # Rewrite failures with RHS unbound    : 0
% 0.38/0.69  # BW rewrite match attempts            : 470
% 0.38/0.69  # BW rewrite match successes           : 136
% 0.38/0.69  # Condensation attempts                : 0
% 0.38/0.69  # Condensation successes               : 0
% 0.38/0.69  # Termbank termtop insertions          : 78323
% 0.38/0.69  
% 0.38/0.69  # -------------------------------------------------
% 0.38/0.69  # User time                : 0.131 s
% 0.38/0.69  # System time              : 0.012 s
% 0.38/0.69  # Total time               : 0.143 s
% 0.38/0.69  # Maximum resident set size: 2964 pages
% 0.38/0.69  
% 0.38/0.69  # -------------------------------------------------
% 0.38/0.69  # User time                : 0.150 s
% 0.38/0.69  # System time              : 0.012 s
% 0.38/0.69  # Total time               : 0.162 s
% 0.38/0.69  # Maximum resident set size: 2184 pages
% 0.38/0.69  % E---3.1 exiting
%------------------------------------------------------------------------------