TSTP Solution File: SWV727-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV727-1 : 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 05:42:10 EDT 2024

% Result   : Unsatisfiable 41.63s 5.68s
% Output   : CNFRefutation 41.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   40 (  21 unt;   4 nHn;  32 RR)
%            Number of literals    :   66 (   5 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-3 aty)
%            Number of variables   :   47 (  11 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_5,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_keysFor__parts__insert_0,axiom,
    ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
    | ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_usedI_0,axiom,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).

cnf(cls_Un__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

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

cnf(c_0_11,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).

cnf(c_0_12,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_13,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    c_0_11 ).

cnf(c_0_14,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
    cls_conjecture_5 ).

cnf(c_0_15,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
    inference(fof_simplification,[status(thm)],[cls_keysFor__parts__insert_0]) ).

cnf(c_0_16,plain,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_12 ).

cnf(c_0_17,negated_conjecture,
    hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),v_K)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_19,negated_conjecture,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
    | ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_20,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).

cnf(c_0_21,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
    c_0_15 ).

cnf(c_0_22,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_X)),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
    | ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
    c_0_19 ).

cnf(c_0_25,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    c_0_20 ).

cnf(c_0_26,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    cls_conjecture_0 ).

cnf(c_0_27,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_usedI_0]) ).

cnf(c_0_28,negated_conjecture,
    ( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1),
    inference(spm,[status(thm)],[c_0_16,c_0_23]) ).

cnf(c_0_30,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    cls_Un__absorb_0 ).

cnf(c_0_31,negated_conjecture,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
    inference(sr,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[cls_invKey__K_0]) ).

cnf(c_0_33,negated_conjecture,
    hBOOL(hAPP(c_Message_OsymKeys,v_K)),
    inference(spm,[status(thm)],[c_0_13,c_0_26]) ).

cnf(c_0_34,plain,
    ( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    c_0_27 ).

cnf(c_0_35,negated_conjecture,
    c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).

cnf(c_0_36,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_32 ).

cnf(c_0_37,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,X1),
    inference(spm,[status(thm)],[c_0_16,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_25,c_0_34]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SWV727-1 : TPTP v8.2.0. Released v4.1.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 08:29:07 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.14/0.38  Running first-order model finding
% 0.14/0.38  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
% 41.63/5.68  # Version: 3.1.0
% 41.63/5.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 41.63/5.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.63/5.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 41.63/5.68  # Starting new_bool_3 with 300s (1) cores
% 41.63/5.68  # Starting new_bool_1 with 300s (1) cores
% 41.63/5.68  # Starting sh5l with 300s (1) cores
% 41.63/5.68  # new_bool_3 with pid 1505 completed with status 0
% 41.63/5.68  # Result found by new_bool_3
% 41.63/5.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 41.63/5.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.63/5.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 41.63/5.68  # Starting new_bool_3 with 300s (1) cores
% 41.63/5.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 41.63/5.68  # Search class: FGHSM-FSLM31-DFFFFFNN
% 41.63/5.68  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 41.63/5.68  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.63/5.68  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1509 completed with status 0
% 41.63/5.68  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 41.63/5.68  # Preprocessing class: FSLSSMSMSSSNFFN.
% 41.63/5.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.63/5.68  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 41.63/5.68  # Starting new_bool_3 with 300s (1) cores
% 41.63/5.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 41.63/5.68  # Search class: FGHSM-FSLM31-DFFFFFNN
% 41.63/5.68  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 41.63/5.68  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.63/5.68  # Preprocessing time       : 0.004 s
% 41.63/5.68  # Presaturation interreduction done
% 41.63/5.68  
% 41.63/5.68  # Proof found!
% 41.63/5.68  # SZS status Unsatisfiable
% 41.63/5.68  # SZS output start CNFRefutation
% See solution above
% 41.63/5.68  # Parsed axioms                        : 493
% 41.63/5.68  # Removed by relevancy pruning/SinE    : 80
% 41.63/5.68  # Initial clauses                      : 413
% 41.63/5.68  # Removed in clause preprocessing      : 0
% 41.63/5.68  # Initial clauses in saturation        : 413
% 41.63/5.68  # Processed clauses                    : 29861
% 41.63/5.68  # ...of these trivial                  : 926
% 41.63/5.68  # ...subsumed                          : 24086
% 41.63/5.68  # ...remaining for further processing  : 4849
% 41.63/5.68  # Other redundant clauses eliminated   : 285
% 41.63/5.68  # Clauses deleted for lack of memory   : 0
% 41.63/5.68  # Backward-subsumed                    : 587
% 41.63/5.68  # Backward-rewritten                   : 209
% 41.63/5.68  # Generated clauses                    : 359062
% 41.63/5.68  # ...of the previous two non-redundant : 323782
% 41.63/5.68  # ...aggressively subsumed             : 0
% 41.63/5.68  # Contextual simplify-reflections      : 1
% 41.63/5.68  # Paramodulations                      : 358743
% 41.63/5.68  # Factorizations                       : 1
% 41.63/5.68  # NegExts                              : 0
% 41.63/5.68  # Equation resolutions                 : 318
% 41.63/5.68  # Disequality decompositions           : 0
% 41.63/5.68  # Total rewrite steps                  : 263478
% 41.63/5.68  # ...of those cached                   : 228430
% 41.63/5.68  # Propositional unsat checks           : 0
% 41.63/5.68  #    Propositional check models        : 0
% 41.63/5.68  #    Propositional check unsatisfiable : 0
% 41.63/5.68  #    Propositional clauses             : 0
% 41.63/5.68  #    Propositional clauses after purity: 0
% 41.63/5.68  #    Propositional unsat core size     : 0
% 41.63/5.68  #    Propositional preprocessing time  : 0.000
% 41.63/5.68  #    Propositional encoding time       : 0.000
% 41.63/5.68  #    Propositional solver time         : 0.000
% 41.63/5.68  #    Success case prop preproc time    : 0.000
% 41.63/5.68  #    Success case prop encoding time   : 0.000
% 41.63/5.68  #    Success case prop solver time     : 0.000
% 41.63/5.68  # Current number of processed clauses  : 3740
% 41.63/5.68  #    Positive orientable unit clauses  : 1194
% 41.63/5.68  #    Positive unorientable unit clauses: 27
% 41.63/5.68  #    Negative unit clauses             : 801
% 41.63/5.68  #    Non-unit-clauses                  : 1718
% 41.63/5.68  # Current number of unprocessed clauses: 290894
% 41.63/5.68  # ...number of literals in the above   : 624741
% 41.63/5.68  # Current number of archived formulas  : 0
% 41.63/5.68  # Current number of archived clauses   : 1109
% 41.63/5.68  # Clause-clause subsumption calls (NU) : 397284
% 41.63/5.68  # Rec. Clause-clause subsumption calls : 309232
% 41.63/5.68  # Non-unit clause-clause subsumptions  : 4295
% 41.63/5.68  # Unit Clause-clause subsumption calls : 214267
% 41.63/5.68  # Rewrite failures with RHS unbound    : 0
% 41.63/5.68  # BW rewrite match attempts            : 8237
% 41.63/5.68  # BW rewrite match successes           : 410
% 41.63/5.68  # Condensation attempts                : 0
% 41.63/5.68  # Condensation successes               : 0
% 41.63/5.68  # Termbank termtop insertions          : 8287356
% 41.63/5.68  # Search garbage collected termcells   : 921
% 41.63/5.68  
% 41.63/5.68  # -------------------------------------------------
% 41.63/5.68  # User time                : 4.924 s
% 41.63/5.68  # System time              : 0.200 s
% 41.63/5.68  # Total time               : 5.124 s
% 41.63/5.68  # Maximum resident set size: 2600 pages
% 41.63/5.68  
% 41.63/5.68  # -------------------------------------------------
% 41.63/5.68  # User time                : 4.930 s
% 41.63/5.68  # System time              : 0.203 s
% 41.63/5.68  # Total time               : 5.133 s
% 41.63/5.68  # Maximum resident set size: 2044 pages
% 41.63/5.68  % E---3.1 exiting
%------------------------------------------------------------------------------