TSTP Solution File: SWV315-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV315-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 19:56:49 EDT 2023

% Result   : Unsatisfiable 7.59s 1.62s
% Output   : CNFRefutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (   8 unt;   5 nHn;  27 RR)
%            Number of literals    :   58 (   0 equ;  27 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   38 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_conjecture_4) ).

cnf(cls_Message_Oparts_OInj_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Message_Oparts_OInj_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_conjecture_2) ).

cnf(cls_Set_Oinsert__iff_2,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Set_Oinsert__iff_2) ).

cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Public_OSpy__spies__bad__shrK_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_conjecture_5) ).

cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

cnf(cls_conjecture_1,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.x9663JLb3A/E---3.1_2846.p',cls_conjecture_1) ).

cnf(cls_Set_OUn__iff_0,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Set_OUn__iff_0) ).

cnf(cls_Message_OKey__synth__eq_0,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Message_OKey__synth__eq_0) ).

cnf(cls_Message_Oanalz__conj__parts_0,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.x9663JLb3A/E---3.1_2846.p',cls_Message_Oanalz__conj__parts_0) ).

cnf(c_0_11,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    cls_conjecture_4 ).

cnf(c_0_12,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oparts_OInj_0 ).

cnf(c_0_13,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    cls_conjecture_2 ).

cnf(c_0_14,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,axiom,
    ( c_in(X1,c_insert(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_Oinsert__iff_2 ).

cnf(c_0_16,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_18,axiom,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    cls_Public_OSpy__spies__bad__shrK_0 ).

cnf(c_0_19,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    cls_conjecture_5 ).

cnf(c_0_20,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    ( c_in(X1,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
    cls_Message_OFake__parts__insert__in__Un__dest_0 ).

cnf(c_0_22,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(sr,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,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_1 ).

cnf(c_0_24,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    cls_Set_OUn__iff_0 ).

cnf(c_0_25,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_26,axiom,
    ( c_in(c_Message_Omsg_OKey(X1),X2,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OKey(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
    cls_Message_OKey__synth__eq_0 ).

cnf(c_0_27,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,axiom,
    ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_Message_Oanalz__conj__parts_0 ).

cnf(c_0_29,negated_conjecture,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_29])]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV315-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 03:25:30 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.63  Running first-order model finding
% 0.16/0.63  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.x9663JLb3A/E---3.1_2846.p
% 7.59/1.62  # Version: 3.1pre001
% 7.59/1.62  # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.59/1.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.59/1.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.59/1.62  # Starting new_bool_3 with 300s (1) cores
% 7.59/1.62  # Starting new_bool_1 with 300s (1) cores
% 7.59/1.62  # Starting sh5l with 300s (1) cores
% 7.59/1.62  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2967 completed with status 0
% 7.59/1.62  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 7.59/1.62  # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.59/1.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.59/1.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.59/1.62  # No SInE strategy applied
% 7.59/1.62  # Search class: FGHSM-SMLM32-DFFFFFNN
% 7.59/1.62  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.59/1.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 7.59/1.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.59/1.62  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 7.59/1.62  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 7.59/1.62  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 7.59/1.62  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 2976 completed with status 0
% 7.59/1.62  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 7.59/1.62  # Preprocessing class: FMLMSMSMSSSNFFN.
% 7.59/1.62  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.59/1.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 7.59/1.62  # No SInE strategy applied
% 7.59/1.62  # Search class: FGHSM-SMLM32-DFFFFFNN
% 7.59/1.62  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 7.59/1.62  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 7.59/1.62  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 7.59/1.62  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 7.59/1.62  # Preprocessing time       : 0.024 s
% 7.59/1.62  
% 7.59/1.62  # Proof found!
% 7.59/1.62  # SZS status Unsatisfiable
% 7.59/1.62  # SZS output start CNFRefutation
% See solution above
% 7.59/1.62  # Parsed axioms                        : 2943
% 7.59/1.62  # Removed by relevancy pruning/SinE    : 0
% 7.59/1.62  # Initial clauses                      : 2943
% 7.59/1.62  # Removed in clause preprocessing      : 12
% 7.59/1.62  # Initial clauses in saturation        : 2931
% 7.59/1.62  # Processed clauses                    : 3084
% 7.59/1.62  # ...of these trivial                  : 29
% 7.59/1.62  # ...subsumed                          : 216
% 7.59/1.62  # ...remaining for further processing  : 2839
% 7.59/1.62  # Other redundant clauses eliminated   : 211
% 7.59/1.62  # Clauses deleted for lack of memory   : 0
% 7.59/1.62  # Backward-subsumed                    : 10
% 7.59/1.62  # Backward-rewritten                   : 15
% 7.59/1.62  # Generated clauses                    : 26676
% 7.59/1.62  # ...of the previous two non-redundant : 22022
% 7.59/1.62  # ...aggressively subsumed             : 0
% 7.59/1.62  # Contextual simplify-reflections      : 3
% 7.59/1.62  # Paramodulations                      : 26392
% 7.59/1.62  # Factorizations                       : 1
% 7.59/1.62  # NegExts                              : 0
% 7.59/1.62  # Equation resolutions                 : 282
% 7.59/1.62  # Total rewrite steps                  : 12193
% 7.59/1.62  # Propositional unsat checks           : 0
% 7.59/1.62  #    Propositional check models        : 0
% 7.59/1.62  #    Propositional check unsatisfiable : 0
% 7.59/1.62  #    Propositional clauses             : 0
% 7.59/1.62  #    Propositional clauses after purity: 0
% 7.59/1.62  #    Propositional unsat core size     : 0
% 7.59/1.62  #    Propositional preprocessing time  : 0.000
% 7.59/1.62  #    Propositional encoding time       : 0.000
% 7.59/1.62  #    Propositional solver time         : 0.000
% 7.59/1.62  #    Success case prop preproc time    : 0.000
% 7.59/1.62  #    Success case prop encoding time   : 0.000
% 7.59/1.62  #    Success case prop solver time     : 0.000
% 7.59/1.62  # Current number of processed clauses  : 2813
% 7.59/1.62  #    Positive orientable unit clauses  : 623
% 7.59/1.62  #    Positive unorientable unit clauses: 18
% 7.59/1.62  #    Negative unit clauses             : 76
% 7.59/1.62  #    Non-unit-clauses                  : 2096
% 7.59/1.62  # Current number of unprocessed clauses: 21865
% 7.59/1.62  # ...number of literals in the above   : 79562
% 7.59/1.62  # Current number of archived formulas  : 0
% 7.59/1.62  # Current number of archived clauses   : 36
% 7.59/1.62  # Clause-clause subsumption calls (NU) : 2041118
% 7.59/1.62  # Rec. Clause-clause subsumption calls : 1094144
% 7.59/1.62  # Non-unit clause-clause subsumptions  : 95
% 7.59/1.62  # Unit Clause-clause subsumption calls : 88661
% 7.59/1.62  # Rewrite failures with RHS unbound    : 3
% 7.59/1.62  # BW rewrite match attempts            : 403
% 7.59/1.62  # BW rewrite match successes           : 36
% 7.59/1.62  # Condensation attempts                : 0
% 7.59/1.62  # Condensation successes               : 0
% 7.59/1.62  # Termbank termtop insertions          : 498108
% 7.59/1.62  
% 7.59/1.62  # -------------------------------------------------
% 7.59/1.62  # User time                : 0.884 s
% 7.59/1.62  # System time              : 0.027 s
% 7.59/1.62  # Total time               : 0.911 s
% 7.59/1.62  # Maximum resident set size: 6664 pages
% 7.59/1.62  
% 7.59/1.62  # -------------------------------------------------
% 7.59/1.62  # User time                : 4.230 s
% 7.59/1.62  # System time              : 0.112 s
% 7.59/1.62  # Total time               : 4.342 s
% 7.59/1.62  # Maximum resident set size: 3616 pages
% 7.59/1.62  % E---3.1 exiting
%------------------------------------------------------------------------------