TSTP Solution File: SWV734-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV734-1 : TPTP v8.1.2. 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:55:13 EDT 2023

% Result   : Unsatisfiable 0.64s 0.72s
% Output   : CNFRefutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  14 unt;   0 nHn;  17 RR)
%            Number of literals    :   34 (   2 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-3 aty)
%            Number of variables   :   33 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_mem__def_0) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_conjecture_4) ).

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/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_parts_OBody_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_conjecture_3) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_mem__def_1) ).

cnf(cls_parts__cut_0,axiom,
    ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_parts__cut_0) ).

cnf(cls_Un__empty__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_Un__empty__left_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p',cls_conjecture_5) ).

cnf(c_0_8,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    cls_mem__def_0 ).

cnf(c_0_9,negated_conjecture,
    c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_4 ).

cnf(c_0_10,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) ),
    cls_parts_OBody_0 ).

cnf(c_0_11,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_3 ).

cnf(c_0_12,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1 ).

cnf(c_0_13,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),hAPP(c_Message_Omsg_OKey,v_K))),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,axiom,
    ( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    cls_parts__cut_0 ).

cnf(c_0_16,negated_conjecture,
    c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
    cls_Un__empty__left_0 ).

cnf(c_0_18,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),v_X)),
    inference(spm,[status(thm)],[c_0_8,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_5 ).

cnf(c_0_20,negated_conjecture,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),X1),
    inference(spm,[status(thm)],[c_0_12,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17  % Problem    : SWV734-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.18  % Command    : run_E %s %d THM
% 0.17/0.39  % Computer : n028.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 2400
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Tue Oct  3 03:59:22 EDT 2023
% 0.17/0.39  % CPUTime    : 
% 0.25/0.56  Running first-order theorem proving
% 0.25/0.56  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.GVgjUMZGwx/E---3.1_1155.p
% 0.64/0.72  # Version: 3.1pre001
% 0.64/0.72  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.64/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.64/0.72  # Starting new_bool_3 with 300s (1) cores
% 0.64/0.72  # Starting new_bool_1 with 300s (1) cores
% 0.64/0.72  # Starting sh5l with 300s (1) cores
% 0.64/0.72  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1327 completed with status 0
% 0.64/0.72  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.64/0.72  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.64/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.64/0.72  # No SInE strategy applied
% 0.64/0.72  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.64/0.72  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.64/0.72  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 0.64/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.64/0.72  # Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.64/0.72  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.64/0.72  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.64/0.72  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1335 completed with status 0
% 0.64/0.72  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.64/0.72  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.64/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.64/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.64/0.72  # No SInE strategy applied
% 0.64/0.72  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.64/0.72  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.64/0.72  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 680s (1) cores
% 0.64/0.72  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.64/0.72  # Preprocessing time       : 0.007 s
% 0.64/0.72  # Presaturation interreduction done
% 0.64/0.72  
% 0.64/0.72  # Proof found!
% 0.64/0.72  # SZS status Unsatisfiable
% 0.64/0.72  # SZS output start CNFRefutation
% See solution above
% 0.64/0.72  # Parsed axioms                        : 488
% 0.64/0.72  # Removed by relevancy pruning/SinE    : 0
% 0.64/0.72  # Initial clauses                      : 488
% 0.64/0.72  # Removed in clause preprocessing      : 1
% 0.64/0.72  # Initial clauses in saturation        : 487
% 0.64/0.72  # Processed clauses                    : 1059
% 0.64/0.72  # ...of these trivial                  : 31
% 0.64/0.72  # ...subsumed                          : 182
% 0.64/0.72  # ...remaining for further processing  : 846
% 0.64/0.72  # Other redundant clauses eliminated   : 18
% 0.64/0.72  # Clauses deleted for lack of memory   : 0
% 0.64/0.72  # Backward-subsumed                    : 17
% 0.64/0.72  # Backward-rewritten                   : 17
% 0.64/0.72  # Generated clauses                    : 3209
% 0.64/0.72  # ...of the previous two non-redundant : 2427
% 0.64/0.72  # ...aggressively subsumed             : 0
% 0.64/0.72  # Contextual simplify-reflections      : 2
% 0.64/0.72  # Paramodulations                      : 3165
% 0.64/0.72  # Factorizations                       : 0
% 0.64/0.72  # NegExts                              : 0
% 0.64/0.72  # Equation resolutions                 : 44
% 0.64/0.72  # Total rewrite steps                  : 1241
% 0.64/0.72  # Propositional unsat checks           : 0
% 0.64/0.72  #    Propositional check models        : 0
% 0.64/0.72  #    Propositional check unsatisfiable : 0
% 0.64/0.72  #    Propositional clauses             : 0
% 0.64/0.72  #    Propositional clauses after purity: 0
% 0.64/0.72  #    Propositional unsat core size     : 0
% 0.64/0.72  #    Propositional preprocessing time  : 0.000
% 0.64/0.72  #    Propositional encoding time       : 0.000
% 0.64/0.72  #    Propositional solver time         : 0.000
% 0.64/0.72  #    Success case prop preproc time    : 0.000
% 0.64/0.72  #    Success case prop encoding time   : 0.000
% 0.64/0.72  #    Success case prop solver time     : 0.000
% 0.64/0.72  # Current number of processed clauses  : 435
% 0.64/0.72  #    Positive orientable unit clauses  : 148
% 0.64/0.72  #    Positive unorientable unit clauses: 3
% 0.64/0.72  #    Negative unit clauses             : 52
% 0.64/0.72  #    Non-unit-clauses                  : 232
% 0.64/0.72  # Current number of unprocessed clauses: 2217
% 0.64/0.72  # ...number of literals in the above   : 4729
% 0.64/0.72  # Current number of archived formulas  : 0
% 0.64/0.72  # Current number of archived clauses   : 412
% 0.64/0.72  # Clause-clause subsumption calls (NU) : 23252
% 0.64/0.72  # Rec. Clause-clause subsumption calls : 21623
% 0.64/0.72  # Non-unit clause-clause subsumptions  : 85
% 0.64/0.72  # Unit Clause-clause subsumption calls : 684
% 0.64/0.72  # Rewrite failures with RHS unbound    : 0
% 0.64/0.72  # BW rewrite match attempts            : 347
% 0.64/0.72  # BW rewrite match successes           : 87
% 0.64/0.72  # Condensation attempts                : 0
% 0.64/0.72  # Condensation successes               : 0
% 0.64/0.72  # Termbank termtop insertions          : 64636
% 0.64/0.72  
% 0.64/0.72  # -------------------------------------------------
% 0.64/0.72  # User time                : 0.120 s
% 0.64/0.72  # System time              : 0.010 s
% 0.64/0.72  # Total time               : 0.130 s
% 0.64/0.72  # Maximum resident set size: 2572 pages
% 0.64/0.72  
% 0.64/0.72  # -------------------------------------------------
% 0.64/0.72  # User time                : 0.557 s
% 0.64/0.72  # System time              : 0.050 s
% 0.64/0.72  # Total time               : 0.607 s
% 0.64/0.72  # Maximum resident set size: 2032 pages
% 0.64/0.72  % E---3.1 exiting
% 0.64/0.72  % E---3.1 exiting
%------------------------------------------------------------------------------