TSTP Solution File: SWV338-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV338-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : Sat May  4 09:52:43 EDT 2024

% Result   : Unsatisfiable 14.98s 2.70s
% Output   : CNFRefutation 14.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   33 (  19 unt;   5 nHn;  27 RR)
%            Number of literals    :   56 (  10 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   38 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_Event_OkeysFor__parts__insert__dest_0) ).

cnf(cls_Public_OinvKey__K_0,axiom,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_Public_OinvKey__K_0) ).

cnf(cls_Message_Oparts__Un_0,axiom,
    c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_Message_Oparts__Un_0) ).

cnf(cls_Message_OkeysFor__Un_0,axiom,
    c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_Message_OkeysFor__Un_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_conjecture_0) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( c_in(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/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_conjecture_6) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_conjecture_4) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_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/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_conjecture_5) ).

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/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_conjecture_2) ).

cnf(cls_Set_OUn__absorb_0,axiom,
    c_union(X1,X1,X2) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p',cls_Set_OUn__absorb_0) ).

cnf(c_0_11,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Event_OkeysFor__parts__insert__dest_0]) ).

cnf(c_0_12,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    inference(fof_simplification,[status(thm)],[cls_Public_OinvKey__K_0]) ).

cnf(c_0_13,plain,
    ( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(X3,X4,tc_Message_Omsg))),tc_nat)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
    c_0_11 ).

cnf(c_0_14,axiom,
    c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__Un_0 ).

cnf(c_0_15,axiom,
    c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_nat),
    cls_Message_OkeysFor__Un_0 ).

cnf(c_0_16,plain,
    ( c_Message_OinvKey(X1) = X1
    | ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
    c_0_12 ).

cnf(c_0_17,negated_conjecture,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    cls_conjecture_0 ).

cnf(c_0_18,negated_conjecture,
    ( c_in(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_19,negated_conjecture,
    ~ c_in(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_20,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_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]) ).

cnf(c_0_21,plain,
    ( c_in(X1,c_union(c_Message_OkeysFor(c_Message_Oparts(X2)),c_Message_OkeysFor(c_Message_Oparts(X3)),tc_nat),tc_nat)
    | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_insert(X4,X2,tc_Message_Omsg))),tc_nat)
    | ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
    cls_conjecture_5 ).

cnf(c_0_23,negated_conjecture,
    c_Message_OinvKey(v_K) = v_K,
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( c_in(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_18 ).

cnf(c_0_25,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
    c_0_19 ).

cnf(c_0_26,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_20 ).

cnf(c_0_27,negated_conjecture,
    ( c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat),tc_nat)
    | c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(X1),tc_Message_Omsg)
    | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_28,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_29,axiom,
    c_union(X1,X1,X2) = X1,
    cls_Set_OUn__absorb_0 ).

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

cnf(c_0_32,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV338-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n021.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   : Fri May  3 16:41:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.65/0.79  Running first-order model finding
% 0.65/0.79  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/tmp/tmp.rGe2rtbrIp/E---3.1_13240.p
% 14.98/2.70  # Version: 3.1.0
% 14.98/2.70  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.98/2.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.98/2.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.98/2.70  # Starting new_bool_3 with 300s (1) cores
% 14.98/2.70  # Starting new_bool_1 with 300s (1) cores
% 14.98/2.70  # Starting sh5l with 300s (1) cores
% 14.98/2.70  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13335 completed with status 0
% 14.98/2.70  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 14.98/2.70  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.98/2.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.98/2.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.98/2.70  # No SInE strategy applied
% 14.98/2.70  # Search class: FGHSM-SMLM32-DFFFFFNN
% 14.98/2.70  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.98/2.70  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 14.98/2.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.98/2.70  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 14.98/2.70  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.98/2.70  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 14.98/2.70  # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13345 completed with status 0
% 14.98/2.70  # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.98/2.70  # Preprocessing class: FMLMSMSMSSSNFFN.
% 14.98/2.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.98/2.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 14.98/2.70  # No SInE strategy applied
% 14.98/2.70  # Search class: FGHSM-SMLM32-DFFFFFNN
% 14.98/2.70  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 14.98/2.70  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 14.98/2.70  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 14.98/2.70  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 14.98/2.70  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 14.98/2.70  # Preprocessing time       : 0.026 s
% 14.98/2.70  # Presaturation interreduction done
% 14.98/2.70  
% 14.98/2.70  # Proof found!
% 14.98/2.70  # SZS status Unsatisfiable
% 14.98/2.70  # SZS output start CNFRefutation
% See solution above
% 14.98/2.70  # Parsed axioms                        : 2948
% 14.98/2.70  # Removed by relevancy pruning/SinE    : 0
% 14.98/2.70  # Initial clauses                      : 2948
% 14.98/2.70  # Removed in clause preprocessing      : 12
% 14.98/2.70  # Initial clauses in saturation        : 2936
% 14.98/2.70  # Processed clauses                    : 13411
% 14.98/2.70  # ...of these trivial                  : 80
% 14.98/2.70  # ...subsumed                          : 6588
% 14.98/2.70  # ...remaining for further processing  : 6743
% 14.98/2.70  # Other redundant clauses eliminated   : 218
% 14.98/2.70  # Clauses deleted for lack of memory   : 0
% 14.98/2.70  # Backward-subsumed                    : 77
% 14.98/2.70  # Backward-rewritten                   : 308
% 14.98/2.70  # Generated clauses                    : 33503
% 14.98/2.70  # ...of the previous two non-redundant : 29862
% 14.98/2.70  # ...aggressively subsumed             : 0
% 14.98/2.70  # Contextual simplify-reflections      : 25
% 14.98/2.70  # Paramodulations                      : 33217
% 14.98/2.70  # Factorizations                       : 6
% 14.98/2.70  # NegExts                              : 0
% 14.98/2.70  # Equation resolutions                 : 280
% 14.98/2.70  # Disequality decompositions           : 0
% 14.98/2.70  # Total rewrite steps                  : 11501
% 14.98/2.70  # ...of those cached                   : 9613
% 14.98/2.70  # Propositional unsat checks           : 1
% 14.98/2.70  #    Propositional check models        : 1
% 14.98/2.70  #    Propositional check unsatisfiable : 0
% 14.98/2.70  #    Propositional clauses             : 0
% 14.98/2.70  #    Propositional clauses after purity: 0
% 14.98/2.70  #    Propositional unsat core size     : 0
% 14.98/2.70  #    Propositional preprocessing time  : 0.000
% 14.98/2.70  #    Propositional encoding time       : 0.009
% 14.98/2.70  #    Propositional solver time         : 0.007
% 14.98/2.70  #    Success case prop preproc time    : 0.000
% 14.98/2.70  #    Success case prop encoding time   : 0.000
% 14.98/2.70  #    Success case prop solver time     : 0.000
% 14.98/2.70  # Current number of processed clauses  : 3587
% 14.98/2.70  #    Positive orientable unit clauses  : 697
% 14.98/2.70  #    Positive unorientable unit clauses: 31
% 14.98/2.70  #    Negative unit clauses             : 418
% 14.98/2.70  #    Non-unit-clauses                  : 2441
% 14.98/2.70  # Current number of unprocessed clauses: 19487
% 14.98/2.70  # ...number of literals in the above   : 50893
% 14.98/2.70  # Current number of archived formulas  : 0
% 14.98/2.70  # Current number of archived clauses   : 3166
% 14.98/2.70  # Clause-clause subsumption calls (NU) : 4910842
% 14.98/2.70  # Rec. Clause-clause subsumption calls : 3436699
% 14.98/2.70  # Non-unit clause-clause subsumptions  : 4190
% 14.98/2.70  # Unit Clause-clause subsumption calls : 141012
% 14.98/2.70  # Rewrite failures with RHS unbound    : 0
% 14.98/2.70  # BW rewrite match attempts            : 1329
% 14.98/2.70  # BW rewrite match successes           : 147
% 14.98/2.70  # Condensation attempts                : 0
% 14.98/2.70  # Condensation successes               : 0
% 14.98/2.70  # Termbank termtop insertions          : 522427
% 14.98/2.70  # Search garbage collected termcells   : 4268
% 14.98/2.70  
% 14.98/2.70  # -------------------------------------------------
% 14.98/2.70  # User time                : 1.771 s
% 14.98/2.70  # System time              : 0.036 s
% 14.98/2.70  # Total time               : 1.807 s
% 14.98/2.70  # Maximum resident set size: 7108 pages
% 14.98/2.70  
% 14.98/2.70  # -------------------------------------------------
% 14.98/2.70  # User time                : 8.683 s
% 14.98/2.70  # System time              : 0.208 s
% 14.98/2.70  # Total time               : 8.891 s
% 14.98/2.70  # Maximum resident set size: 3640 pages
% 14.98/2.70  % E---3.1 exiting
%------------------------------------------------------------------------------