TSTP Solution File: SWV240-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV240-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 09:43:16 EDT 2024

% Result   : Unsatisfiable 0.52s 0.89s
% Output   : CNFRefutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (   8 unt;   2 nHn;  15 RR)
%            Number of literals    :   35 (   0 equ;  17 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   40 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.zch857PJXn/E---3.1_21328.p',cls_Set_OsubsetI_1) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.zch857PJXn/E---3.1_21328.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.zch857PJXn/E---3.1_21328.p',cls_conjecture_0) ).

cnf(cls_Message_Oanalz__subset__cong_0,axiom,
    ( c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zch857PJXn/E---3.1_21328.p',cls_Message_Oanalz__subset__cong_0) ).

cnf(cls_Set_Osubset__refl_0,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.zch857PJXn/E---3.1_21328.p',cls_Set_Osubset__refl_0) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zch857PJXn/E---3.1_21328.p',cls_Set_OsubsetI_0) ).

cnf(c_0_6,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(fof_simplification,[status(thm)],[cls_Set_OsubsetI_1]) ).

cnf(c_0_7,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz_OInj_0]) ).

cnf(c_0_8,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_9,plain,
    ( c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Message_Oanalz__subset__cong_0]) ).

cnf(c_0_10,plain,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    c_0_6 ).

cnf(c_0_11,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    c_0_7 ).

cnf(c_0_12,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    c_0_8 ).

cnf(c_0_13,plain,
    ( c_lessequals(c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),c_Message_Oanalz(c_union(X4,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_set(tc_Message_Omsg)) ),
    c_0_9 ).

cnf(c_0_14,axiom,
    c_lessequals(X1,X1,tc_set(X2)),
    cls_Set_Osubset__refl_0 ).

cnf(c_0_15,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
    | ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oanalz(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_17,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_18,plain,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.22  % Problem    : SWV240-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.23  % Command    : run_E %s %d THM
% 0.22/0.44  % Computer : n010.cluster.edu
% 0.22/0.44  % Model    : x86_64 x86_64
% 0.22/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.44  % Memory   : 8042.1875MB
% 0.22/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.44  % CPULimit   : 300
% 0.22/0.44  % WCLimit    : 300
% 0.22/0.44  % DateTime   : Fri May  3 17:08:08 EDT 2024
% 0.22/0.44  % CPUTime    : 
% 0.46/0.68  Running first-order theorem proving
% 0.46/0.68  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/tmp/tmp.zch857PJXn/E---3.1_21328.p
% 0.52/0.89  # Version: 3.1.0
% 0.52/0.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.52/0.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.52/0.89  # Starting new_bool_3 with 300s (1) cores
% 0.52/0.89  # Starting new_bool_1 with 300s (1) cores
% 0.52/0.89  # Starting sh5l with 300s (1) cores
% 0.52/0.89  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21406 completed with status 0
% 0.52/0.89  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.52/0.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.52/0.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.52/0.89  # No SInE strategy applied
% 0.52/0.89  # Search class: FGHSM-SSLM32-MFFFFFNN
% 0.52/0.89  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.52/0.89  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 0.52/0.89  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.52/0.89  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.52/0.89  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 21415 completed with status 0
% 0.52/0.89  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.52/0.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.52/0.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.52/0.89  # No SInE strategy applied
% 0.52/0.89  # Search class: FGHSM-SSLM32-MFFFFFNN
% 0.52/0.89  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 811s (1) cores
% 0.52/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.52/0.89  # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 0.52/0.89  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.52/0.89  # Preprocessing time       : 0.010 s
% 0.52/0.89  # Presaturation interreduction done
% 0.52/0.89  
% 0.52/0.89  # Proof found!
% 0.52/0.89  # SZS status Unsatisfiable
% 0.52/0.89  # SZS output start CNFRefutation
% See solution above
% 0.52/0.89  # Parsed axioms                        : 1400
% 0.52/0.89  # Removed by relevancy pruning/SinE    : 0
% 0.52/0.89  # Initial clauses                      : 1400
% 0.52/0.89  # Removed in clause preprocessing      : 1
% 0.52/0.89  # Initial clauses in saturation        : 1399
% 0.52/0.89  # Processed clauses                    : 2995
% 0.52/0.89  # ...of these trivial                  : 15
% 0.52/0.89  # ...subsumed                          : 281
% 0.52/0.89  # ...remaining for further processing  : 2699
% 0.52/0.89  # Other redundant clauses eliminated   : 4
% 0.52/0.89  # Clauses deleted for lack of memory   : 0
% 0.52/0.89  # Backward-subsumed                    : 1
% 0.52/0.89  # Backward-rewritten                   : 17
% 0.52/0.89  # Generated clauses                    : 1625
% 0.52/0.89  # ...of the previous two non-redundant : 622
% 0.52/0.89  # ...aggressively subsumed             : 0
% 0.52/0.89  # Contextual simplify-reflections      : 0
% 0.52/0.89  # Paramodulations                      : 1582
% 0.52/0.89  # Factorizations                       : 0
% 0.52/0.89  # NegExts                              : 0
% 0.52/0.89  # Equation resolutions                 : 43
% 0.52/0.89  # Disequality decompositions           : 0
% 0.52/0.89  # Total rewrite steps                  : 1022
% 0.52/0.89  # ...of those cached                   : 853
% 0.52/0.89  # Propositional unsat checks           : 0
% 0.52/0.89  #    Propositional check models        : 0
% 0.52/0.89  #    Propositional check unsatisfiable : 0
% 0.52/0.89  #    Propositional clauses             : 0
% 0.52/0.89  #    Propositional clauses after purity: 0
% 0.52/0.89  #    Propositional unsat core size     : 0
% 0.52/0.89  #    Propositional preprocessing time  : 0.000
% 0.52/0.89  #    Propositional encoding time       : 0.000
% 0.52/0.89  #    Propositional solver time         : 0.000
% 0.52/0.89  #    Success case prop preproc time    : 0.000
% 0.52/0.89  #    Success case prop encoding time   : 0.000
% 0.52/0.89  #    Success case prop solver time     : 0.000
% 0.52/0.89  # Current number of processed clauses  : 1321
% 0.52/0.89  #    Positive orientable unit clauses  : 188
% 0.52/0.89  #    Positive unorientable unit clauses: 0
% 0.52/0.89  #    Negative unit clauses             : 33
% 0.52/0.89  #    Non-unit-clauses                  : 1100
% 0.52/0.89  # Current number of unprocessed clauses: 375
% 0.52/0.89  # ...number of literals in the above   : 915
% 0.52/0.89  # Current number of archived formulas  : 0
% 0.52/0.89  # Current number of archived clauses   : 1378
% 0.52/0.89  # Clause-clause subsumption calls (NU) : 982607
% 0.52/0.89  # Rec. Clause-clause subsumption calls : 954213
% 0.52/0.89  # Non-unit clause-clause subsumptions  : 246
% 0.52/0.89  # Unit Clause-clause subsumption calls : 12292
% 0.52/0.89  # Rewrite failures with RHS unbound    : 0
% 0.52/0.89  # BW rewrite match attempts            : 72
% 0.52/0.89  # BW rewrite match successes           : 15
% 0.52/0.89  # Condensation attempts                : 0
% 0.52/0.89  # Condensation successes               : 0
% 0.52/0.89  # Termbank termtop insertions          : 50394
% 0.52/0.89  # Search garbage collected termcells   : 1692
% 0.52/0.89  
% 0.52/0.89  # -------------------------------------------------
% 0.52/0.89  # User time                : 0.170 s
% 0.52/0.89  # System time              : 0.011 s
% 0.52/0.89  # Total time               : 0.181 s
% 0.52/0.89  # Maximum resident set size: 3988 pages
% 0.52/0.89  
% 0.52/0.89  # -------------------------------------------------
% 0.52/0.89  # User time                : 0.829 s
% 0.52/0.89  # System time              : 0.034 s
% 0.52/0.89  # Total time               : 0.864 s
% 0.52/0.89  # Maximum resident set size: 2448 pages
% 0.52/0.89  % E---3.1 exiting
% 0.52/0.89  % E exiting
%------------------------------------------------------------------------------