TSTP Solution File: SWV245-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV245-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:56:28 EDT 2023

% Result   : Unsatisfiable 0.44s 0.66s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  10 unt;   5 nHn;  19 RR)
%            Number of literals    :   44 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   48 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Set_OUnE_0,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_Set_OUnE_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_conjecture_2) ).

cnf(cls_Set_OUnCI_1,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_Set_OUnCI_1) ).

cnf(cls_Message_OMPair__analz_1,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_Message_OMPair__analz_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/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_Message_Oanalz_OInj_0) ).

cnf(cls_Set_OUnCI_0,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_Set_OUnCI_0) ).

cnf(cls_Message_OMPair__synth_1,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p',cls_Message_OMPair__synth_1) ).

cnf(c_0_8,axiom,
    ( c_in(X1,X3,X4)
    | c_in(X1,X2,X4)
    | ~ c_in(X1,c_union(X2,X3,X4),X4) ),
    cls_Set_OUnE_0 ).

cnf(c_0_9,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_10,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_11,axiom,
    ( c_in(X1,c_union(X2,X4,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_1 ).

cnf(c_0_12,axiom,
    ( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__analz_1 ).

cnf(c_0_13,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Oanalz_OInj_0 ).

cnf(c_0_14,negated_conjecture,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,axiom,
    ( c_in(X1,c_union(X4,X2,X3),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_OUnCI_0 ).

cnf(c_0_17,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
    cls_Message_OMPair__synth_1 ).

cnf(c_0_19,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_10,c_0_16]) ).

cnf(c_0_21,plain,
    ( c_in(X1,c_Message_Oanalz(c_union(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X1,X4),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_17,c_0_11]) ).

cnf(c_0_22,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    c_in(v_X,c_Message_Oanalz(c_union(v_G,X1,tc_Message_Omsg)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV245-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.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   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 04:05:01 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.59  Running first-order model finding
% 0.20/0.59  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.4yD0iomfAw/E---3.1_25740.p
% 0.44/0.66  # Version: 3.1pre001
% 0.44/0.66  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.66  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.66  # Starting new_bool_3 with 300s (1) cores
% 0.44/0.66  # Starting new_bool_1 with 300s (1) cores
% 0.44/0.66  # Starting sh5l with 300s (1) cores
% 0.44/0.66  # new_bool_3 with pid 25909 completed with status 0
% 0.44/0.66  # Result found by new_bool_3
% 0.44/0.66  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.66  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.66  # Starting new_bool_3 with 300s (1) cores
% 0.44/0.66  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.66  # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.44/0.66  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.66  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.44/0.66  # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 25912 completed with status 0
% 0.44/0.66  # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 0.44/0.66  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.66  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.66  # Starting new_bool_3 with 300s (1) cores
% 0.44/0.66  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.66  # Search class: FGHSM-FFMS31-MFFFFFNN
% 0.44/0.66  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.66  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 130s (1) cores
% 0.44/0.66  # Preprocessing time       : 0.007 s
% 0.44/0.66  
% 0.44/0.66  # Proof found!
% 0.44/0.66  # SZS status Unsatisfiable
% 0.44/0.66  # SZS output start CNFRefutation
% See solution above
% 0.44/0.66  # Parsed axioms                        : 1403
% 0.44/0.66  # Removed by relevancy pruning/SinE    : 1326
% 0.44/0.66  # Initial clauses                      : 77
% 0.44/0.66  # Removed in clause preprocessing      : 0
% 0.44/0.66  # Initial clauses in saturation        : 77
% 0.44/0.66  # Processed clauses                    : 160
% 0.44/0.66  # ...of these trivial                  : 6
% 0.44/0.66  # ...subsumed                          : 11
% 0.44/0.66  # ...remaining for further processing  : 143
% 0.44/0.66  # Other redundant clauses eliminated   : 0
% 0.44/0.66  # Clauses deleted for lack of memory   : 0
% 0.44/0.66  # Backward-subsumed                    : 0
% 0.44/0.66  # Backward-rewritten                   : 3
% 0.44/0.66  # Generated clauses                    : 551
% 0.44/0.66  # ...of the previous two non-redundant : 512
% 0.44/0.66  # ...aggressively subsumed             : 0
% 0.44/0.66  # Contextual simplify-reflections      : 0
% 0.44/0.66  # Paramodulations                      : 547
% 0.44/0.66  # Factorizations                       : 0
% 0.44/0.66  # NegExts                              : 0
% 0.44/0.66  # Equation resolutions                 : 4
% 0.44/0.66  # Total rewrite steps                  : 32
% 0.44/0.66  # Propositional unsat checks           : 0
% 0.44/0.66  #    Propositional check models        : 0
% 0.44/0.66  #    Propositional check unsatisfiable : 0
% 0.44/0.66  #    Propositional clauses             : 0
% 0.44/0.66  #    Propositional clauses after purity: 0
% 0.44/0.66  #    Propositional unsat core size     : 0
% 0.44/0.66  #    Propositional preprocessing time  : 0.000
% 0.44/0.66  #    Propositional encoding time       : 0.000
% 0.44/0.66  #    Propositional solver time         : 0.000
% 0.44/0.66  #    Success case prop preproc time    : 0.000
% 0.44/0.66  #    Success case prop encoding time   : 0.000
% 0.44/0.66  #    Success case prop solver time     : 0.000
% 0.44/0.66  # Current number of processed clauses  : 140
% 0.44/0.66  #    Positive orientable unit clauses  : 34
% 0.44/0.66  #    Positive unorientable unit clauses: 0
% 0.44/0.66  #    Negative unit clauses             : 9
% 0.44/0.66  #    Non-unit-clauses                  : 97
% 0.44/0.66  # Current number of unprocessed clauses: 429
% 0.44/0.66  # ...number of literals in the above   : 792
% 0.44/0.66  # Current number of archived formulas  : 0
% 0.44/0.66  # Current number of archived clauses   : 3
% 0.44/0.66  # Clause-clause subsumption calls (NU) : 1501
% 0.44/0.66  # Rec. Clause-clause subsumption calls : 1319
% 0.44/0.66  # Non-unit clause-clause subsumptions  : 6
% 0.44/0.66  # Unit Clause-clause subsumption calls : 51
% 0.44/0.66  # Rewrite failures with RHS unbound    : 0
% 0.44/0.66  # BW rewrite match attempts            : 24
% 0.44/0.66  # BW rewrite match successes           : 3
% 0.44/0.66  # Condensation attempts                : 0
% 0.44/0.66  # Condensation successes               : 0
% 0.44/0.66  # Termbank termtop insertions          : 16870
% 0.44/0.66  
% 0.44/0.66  # -------------------------------------------------
% 0.44/0.66  # User time                : 0.024 s
% 0.44/0.66  # System time              : 0.007 s
% 0.44/0.66  # Total time               : 0.031 s
% 0.44/0.66  # Maximum resident set size: 2876 pages
% 0.44/0.66  
% 0.44/0.66  # -------------------------------------------------
% 0.44/0.66  # User time                : 0.046 s
% 0.44/0.66  # System time              : 0.011 s
% 0.44/0.66  # Total time               : 0.056 s
% 0.44/0.66  # Maximum resident set size: 2432 pages
% 0.44/0.66  % E---3.1 exiting
%------------------------------------------------------------------------------