TSTP Solution File: SWV721-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV721-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 05:31:38 EDT 2024

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   34 (  14 unt;   0 nHn;  28 RR)
%            Number of literals    :   54 (   2 equ;  23 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-3 aty)
%            Number of variables   :   63 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).

cnf(cls_parts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_0_9,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).

cnf(c_0_10,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_11,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    c_0_9 ).

cnf(c_0_12,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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_13,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_14,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_15,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_16,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_10 ).

cnf(c_0_17,negated_conjecture,
    hBOOL(hAPP(c_List_Oset(v_evs,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))))),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,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_19,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_13 ).

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

cnf(c_0_21,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_15 ).

cnf(c_0_22,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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_16,c_0_17]) ).

cnf(c_0_23,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_18 ).

cnf(c_0_24,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_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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_21,c_0_22]) ).

cnf(c_0_26,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_23,c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_N,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_24,c_0_25]) ).

cnf(c_0_28,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_parts__idem_0 ).

cnf(c_0_29,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_26,c_0_27]),c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    ~ c_in(v_X,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_31,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_26,c_0_29]),c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    c_0_30 ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_31]),c_0_28]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SWV721-1 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Sun May 19 07:06:37 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40  # Version: 3.1.0
% 0.13/0.40  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.40  # Starting sh5l with 300s (1) cores
% 0.13/0.40  # new_bool_3 with pid 6069 completed with status 0
% 0.13/0.40  # Result found by new_bool_3
% 0.13/0.40  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.40  # Search class: FGHSM-FSLS31-DFFFFFNN
% 0.13/0.40  # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 0.13/0.40  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/0.40  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 6072 completed with status 0
% 0.13/0.40  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.40  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.40  # Search class: FGHSM-FSLS31-DFFFFFNN
% 0.13/0.40  # partial match(1): FGHSM-FSLM31-DFFFFFNN
% 0.13/0.40  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/0.40  # Preprocessing time       : 0.003 s
% 0.13/0.40  # Presaturation interreduction done
% 0.13/0.40  
% 0.13/0.40  # Proof found!
% 0.13/0.40  # SZS status Unsatisfiable
% 0.13/0.40  # SZS output start CNFRefutation
% See solution above
% 0.13/0.40  # Parsed axioms                        : 442
% 0.13/0.40  # Removed by relevancy pruning/SinE    : 189
% 0.13/0.40  # Initial clauses                      : 253
% 0.13/0.40  # Removed in clause preprocessing      : 0
% 0.13/0.40  # Initial clauses in saturation        : 253
% 0.13/0.40  # Processed clauses                    : 456
% 0.13/0.40  # ...of these trivial                  : 40
% 0.13/0.40  # ...subsumed                          : 71
% 0.13/0.40  # ...remaining for further processing  : 345
% 0.13/0.40  # Other redundant clauses eliminated   : 5
% 0.13/0.40  # Clauses deleted for lack of memory   : 0
% 0.13/0.40  # Backward-subsumed                    : 1
% 0.13/0.40  # Backward-rewritten                   : 7
% 0.13/0.40  # Generated clauses                    : 583
% 0.13/0.40  # ...of the previous two non-redundant : 426
% 0.13/0.40  # ...aggressively subsumed             : 0
% 0.13/0.40  # Contextual simplify-reflections      : 0
% 0.13/0.40  # Paramodulations                      : 563
% 0.13/0.40  # Factorizations                       : 0
% 0.13/0.40  # NegExts                              : 0
% 0.13/0.40  # Equation resolutions                 : 20
% 0.13/0.40  # Disequality decompositions           : 0
% 0.13/0.40  # Total rewrite steps                  : 216
% 0.13/0.40  # ...of those cached                   : 96
% 0.13/0.40  # Propositional unsat checks           : 0
% 0.13/0.40  #    Propositional check models        : 0
% 0.13/0.40  #    Propositional check unsatisfiable : 0
% 0.13/0.40  #    Propositional clauses             : 0
% 0.13/0.40  #    Propositional clauses after purity: 0
% 0.13/0.40  #    Propositional unsat core size     : 0
% 0.13/0.40  #    Propositional preprocessing time  : 0.000
% 0.13/0.40  #    Propositional encoding time       : 0.000
% 0.13/0.40  #    Propositional solver time         : 0.000
% 0.13/0.40  #    Success case prop preproc time    : 0.000
% 0.13/0.40  #    Success case prop encoding time   : 0.000
% 0.13/0.40  #    Success case prop solver time     : 0.000
% 0.13/0.40  # Current number of processed clauses  : 149
% 0.13/0.40  #    Positive orientable unit clauses  : 58
% 0.13/0.40  #    Positive unorientable unit clauses: 0
% 0.13/0.40  #    Negative unit clauses             : 13
% 0.13/0.40  #    Non-unit-clauses                  : 78
% 0.13/0.40  # Current number of unprocessed clauses: 409
% 0.13/0.40  # ...number of literals in the above   : 745
% 0.13/0.40  # Current number of archived formulas  : 0
% 0.13/0.40  # Current number of archived clauses   : 196
% 0.13/0.40  # Clause-clause subsumption calls (NU) : 5056
% 0.13/0.40  # Rec. Clause-clause subsumption calls : 4867
% 0.13/0.40  # Non-unit clause-clause subsumptions  : 43
% 0.13/0.40  # Unit Clause-clause subsumption calls : 83
% 0.13/0.40  # Rewrite failures with RHS unbound    : 0
% 0.13/0.40  # BW rewrite match attempts            : 40
% 0.13/0.40  # BW rewrite match successes           : 29
% 0.13/0.40  # Condensation attempts                : 0
% 0.13/0.40  # Condensation successes               : 0
% 0.13/0.40  # Termbank termtop insertions          : 17962
% 0.13/0.40  # Search garbage collected termcells   : 1199
% 0.13/0.40  
% 0.13/0.40  # -------------------------------------------------
% 0.13/0.40  # User time                : 0.023 s
% 0.13/0.40  # System time              : 0.003 s
% 0.13/0.40  # Total time               : 0.026 s
% 0.13/0.40  # Maximum resident set size: 2448 pages
% 0.13/0.40  
% 0.13/0.40  # -------------------------------------------------
% 0.13/0.40  # User time                : 0.030 s
% 0.13/0.40  # System time              : 0.003 s
% 0.13/0.40  # Total time               : 0.034 s
% 0.13/0.40  # Maximum resident set size: 2032 pages
% 0.13/0.40  % E---3.1 exiting
% 0.13/0.40  % E exiting
%------------------------------------------------------------------------------