TSTP Solution File: SWV722-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV722-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 05:42:09 EDT 2024

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   38 (  14 unt;   0 nHn;  32 RR)
%            Number of literals    :   62 (   2 equ;  27 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-3 aty)
%            Number of variables   :   75 (  25 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_parts_OBody_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).

cnf(cls_parts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).

cnf(cls_Says__imp__spies_0,axiom,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).

cnf(cls_parts_OSnd_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).

cnf(cls_parts_OFst_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OFst_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_conjecture_1,negated_conjecture,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

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

cnf(c_0_11,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_12,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    c_0_10 ).

cnf(c_0_13,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    cls_conjecture_0 ).

cnf(c_0_14,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_parts_OBody_0]) ).

cnf(c_0_15,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_parts_OInj_0]) ).

cnf(c_0_16,plain,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(fof_simplification,[status(thm)],[cls_Says__imp__spies_0]) ).

cnf(c_0_17,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_11 ).

cnf(c_0_18,negated_conjecture,
    hBOOL(hAPP(c_List_Oset(v_evs,tc_Event_Oevent),c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))))),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_parts_OSnd_0]) ).

cnf(c_0_20,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_14 ).

cnf(c_0_21,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_15 ).

cnf(c_0_22,plain,
    ( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
    c_0_16 ).

cnf(c_0_23,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),X1),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_19 ).

cnf(c_0_25,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_parts_OFst_0]) ).

cnf(c_0_28,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_24,c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_parts__idem_0 ).

cnf(c_0_31,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
    c_0_27 ).

cnf(c_0_32,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).

cnf(c_0_34,plain,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_31,c_0_21]) ).

cnf(c_0_35,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_32]),c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    c_0_33 ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_30]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV722-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 08:00:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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/benchmark/theBenchmark.p
% 0.20/0.59  # Version: 3.1.0
% 0.20/0.59  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # Starting sh5l with 300s (1) cores
% 0.20/0.59  # new_bool_3 with pid 6829 completed with status 0
% 0.20/0.59  # Result found by new_bool_3
% 0.20/0.59  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FGHSM-FSLS31-DFFFFFNN
% 0.20/0.59  # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 0.20/0.59  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.59  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 6833 completed with status 0
% 0.20/0.59  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.59  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FGHSM-FSLS31-DFFFFFNN
% 0.20/0.59  # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 0.20/0.59  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.59  # Preprocessing time       : 0.005 s
% 0.20/0.59  # Presaturation interreduction done
% 0.20/0.59  
% 0.20/0.59  # Proof found!
% 0.20/0.59  # SZS status Unsatisfiable
% 0.20/0.59  # SZS output start CNFRefutation
% See solution above
% 0.20/0.59  # Parsed axioms                        : 519
% 0.20/0.59  # Removed by relevancy pruning/SinE    : 232
% 0.20/0.59  # Initial clauses                      : 287
% 0.20/0.59  # Removed in clause preprocessing      : 0
% 0.20/0.59  # Initial clauses in saturation        : 287
% 0.20/0.59  # Processed clauses                    : 522
% 0.20/0.59  # ...of these trivial                  : 46
% 0.20/0.59  # ...subsumed                          : 78
% 0.20/0.59  # ...remaining for further processing  : 398
% 0.20/0.59  # Other redundant clauses eliminated   : 8
% 0.20/0.59  # Clauses deleted for lack of memory   : 0
% 0.20/0.59  # Backward-subsumed                    : 0
% 0.20/0.59  # Backward-rewritten                   : 9
% 0.20/0.59  # Generated clauses                    : 611
% 0.20/0.59  # ...of the previous two non-redundant : 430
% 0.20/0.59  # ...aggressively subsumed             : 0
% 0.20/0.59  # Contextual simplify-reflections      : 0
% 0.20/0.59  # Paramodulations                      : 583
% 0.20/0.59  # Factorizations                       : 0
% 0.20/0.59  # NegExts                              : 0
% 0.20/0.59  # Equation resolutions                 : 28
% 0.20/0.59  # Disequality decompositions           : 0
% 0.20/0.59  # Total rewrite steps                  : 254
% 0.20/0.59  # ...of those cached                   : 122
% 0.20/0.59  # Propositional unsat checks           : 0
% 0.20/0.59  #    Propositional check models        : 0
% 0.20/0.59  #    Propositional check unsatisfiable : 0
% 0.20/0.59  #    Propositional clauses             : 0
% 0.20/0.59  #    Propositional clauses after purity: 0
% 0.20/0.59  #    Propositional unsat core size     : 0
% 0.20/0.59  #    Propositional preprocessing time  : 0.000
% 0.20/0.59  #    Propositional encoding time       : 0.000
% 0.20/0.59  #    Propositional solver time         : 0.000
% 0.20/0.59  #    Success case prop preproc time    : 0.000
% 0.20/0.59  #    Success case prop encoding time   : 0.000
% 0.20/0.59  #    Success case prop solver time     : 0.000
% 0.20/0.59  # Current number of processed clauses  : 173
% 0.20/0.59  #    Positive orientable unit clauses  : 67
% 0.20/0.59  #    Positive unorientable unit clauses: 0
% 0.20/0.59  #    Negative unit clauses             : 18
% 0.20/0.59  #    Non-unit-clauses                  : 88
% 0.20/0.59  # Current number of unprocessed clauses: 408
% 0.20/0.59  # ...number of literals in the above   : 757
% 0.20/0.59  # Current number of archived formulas  : 0
% 0.20/0.59  # Current number of archived clauses   : 225
% 0.20/0.59  # Clause-clause subsumption calls (NU) : 7015
% 0.20/0.59  # Rec. Clause-clause subsumption calls : 6679
% 0.20/0.59  # Non-unit clause-clause subsumptions  : 45
% 0.20/0.59  # Unit Clause-clause subsumption calls : 197
% 0.20/0.59  # Rewrite failures with RHS unbound    : 0
% 0.20/0.59  # BW rewrite match attempts            : 47
% 0.20/0.59  # BW rewrite match successes           : 35
% 0.20/0.59  # Condensation attempts                : 0
% 0.20/0.59  # Condensation successes               : 0
% 0.20/0.59  # Termbank termtop insertions          : 20058
% 0.20/0.59  # Search garbage collected termcells   : 1424
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.039 s
% 0.20/0.59  # System time              : 0.008 s
% 0.20/0.59  # Total time               : 0.047 s
% 0.20/0.59  # Maximum resident set size: 2528 pages
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.052 s
% 0.20/0.59  # System time              : 0.011 s
% 0.20/0.59  # Total time               : 0.063 s
% 0.20/0.59  # Maximum resident set size: 2088 pages
% 0.20/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------