TSTP Solution File: GEO117+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 17:31:31 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   81 (   4 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  104 (  40   ~;  39   |;  21   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-5 aty)
%            Number of variables   :   64 (   6 sgn;  41   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(between_c_defn,axiom,
    ! [X1,X3,X5,X7] :
      ( between_c(X1,X3,X5,X7)
    <=> ( X3 != X7
        & ? [X8] :
            ( part_of(X8,X1)
            & end_point(X3,X8)
            & end_point(X7,X8)
            & inner_point(X5,X8) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.SgYUjhKNUB/E---3.1_9475.p',between_c_defn) ).

fof(o3,axiom,
    ! [X3,X5,X7,X9] :
      ( between_o(X9,X3,X5,X7)
    <=> ? [X1] :
          ( ! [X3] :
              ( incident_o(X3,X9)
            <=> incident_c(X3,X1) )
          & between_c(X1,X3,X5,X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.SgYUjhKNUB/E---3.1_9475.p',o3) ).

fof(between_o_defn,axiom,
    ! [X9,X3,X5,X7] :
      ( between_o(X9,X3,X5,X7)
    <=> ( ( ordered_by(X9,X3,X5)
          & ordered_by(X9,X5,X7) )
        | ( ordered_by(X9,X7,X5)
          & ordered_by(X9,X5,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.SgYUjhKNUB/E---3.1_9475.p',between_o_defn) ).

fof(theorem_4_4,conjecture,
    ! [X9,X3] : ~ ordered_by(X9,X3,X3),
    file('/export/starexec/sandbox/tmp/tmp.SgYUjhKNUB/E---3.1_9475.p',theorem_4_4) ).

fof(c_0_4,plain,
    ! [X98,X99,X100,X101,X103,X104,X105,X106,X107] :
      ( ( X99 != X101
        | ~ between_c(X98,X99,X100,X101) )
      & ( part_of(esk18_4(X98,X99,X100,X101),X98)
        | ~ between_c(X98,X99,X100,X101) )
      & ( end_point(X99,esk18_4(X98,X99,X100,X101))
        | ~ between_c(X98,X99,X100,X101) )
      & ( end_point(X101,esk18_4(X98,X99,X100,X101))
        | ~ between_c(X98,X99,X100,X101) )
      & ( inner_point(X100,esk18_4(X98,X99,X100,X101))
        | ~ between_c(X98,X99,X100,X101) )
      & ( X104 = X106
        | ~ part_of(X107,X103)
        | ~ end_point(X104,X107)
        | ~ end_point(X106,X107)
        | ~ inner_point(X105,X107)
        | between_c(X103,X104,X105,X106) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[between_c_defn])])])])])]) ).

cnf(c_0_5,plain,
    ( X1 != X2
    | ~ between_c(X3,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X37,X38,X39,X40,X42,X43,X44,X45,X46,X47,X48] :
      ( ( ~ incident_o(X42,X40)
        | incident_c(X42,esk7_4(X37,X38,X39,X40))
        | ~ between_o(X40,X37,X38,X39) )
      & ( ~ incident_c(X43,esk7_4(X37,X38,X39,X40))
        | incident_o(X43,X40)
        | ~ between_o(X40,X37,X38,X39) )
      & ( between_c(esk7_4(X37,X38,X39,X40),X37,X38,X39)
        | ~ between_o(X40,X37,X38,X39) )
      & ( ~ incident_o(esk8_5(X44,X45,X46,X47,X48),X47)
        | ~ incident_c(esk8_5(X44,X45,X46,X47,X48),X48)
        | ~ between_c(X48,X44,X45,X46)
        | between_o(X47,X44,X45,X46) )
      & ( incident_o(esk8_5(X44,X45,X46,X47,X48),X47)
        | incident_c(esk8_5(X44,X45,X46,X47,X48),X48)
        | ~ between_c(X48,X44,X45,X46)
        | between_o(X47,X44,X45,X46) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[o3])])])])])]) ).

cnf(c_0_7,plain,
    ~ between_c(X1,X2,X3,X2),
    inference(er,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( between_c(esk7_4(X1,X2,X3,X4),X1,X2,X3)
    | ~ between_o(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X14,X15,X16,X17] :
      ( ( ordered_by(X14,X17,X16)
        | ordered_by(X14,X15,X16)
        | ~ between_o(X14,X15,X16,X17) )
      & ( ordered_by(X14,X16,X15)
        | ordered_by(X14,X15,X16)
        | ~ between_o(X14,X15,X16,X17) )
      & ( ordered_by(X14,X17,X16)
        | ordered_by(X14,X16,X17)
        | ~ between_o(X14,X15,X16,X17) )
      & ( ordered_by(X14,X16,X15)
        | ordered_by(X14,X16,X17)
        | ~ between_o(X14,X15,X16,X17) )
      & ( ~ ordered_by(X14,X15,X16)
        | ~ ordered_by(X14,X16,X17)
        | between_o(X14,X15,X16,X17) )
      & ( ~ ordered_by(X14,X17,X16)
        | ~ ordered_by(X14,X16,X15)
        | between_o(X14,X15,X16,X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[between_o_defn])])]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X9,X3] : ~ ordered_by(X9,X3,X3),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_4_4])]) ).

cnf(c_0_11,plain,
    ~ between_o(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( between_o(X1,X4,X3,X2)
    | ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,negated_conjecture,
    ordered_by(esk1_0,esk2_0,esk2_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

cnf(c_0_14,plain,
    ( ~ ordered_by(X1,X2,X3)
    | ~ ordered_by(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ordered_by(esk1_0,esk2_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13  % Problem    : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n023.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 07:12:37 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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.SgYUjhKNUB/E---3.1_9475.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # sh5l with pid 9556 completed with status 0
% 0.20/0.51  # Result found by sh5l
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.51  # Search class: FGHSS-FFMF32-SFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 103s (1) cores
% 0.20/0.51  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9561 completed with status 0
% 0.20/0.51  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.52  # Search class: FGHSS-FFMF32-SFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 103s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.002 s
% 0.20/0.52  # Presaturation interreduction done
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 28
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 2
% 0.20/0.52  # Initial clauses                      : 77
% 0.20/0.52  # Removed in clause preprocessing      : 0
% 0.20/0.52  # Initial clauses in saturation        : 77
% 0.20/0.52  # Processed clauses                    : 255
% 0.20/0.52  # ...of these trivial                  : 1
% 0.20/0.52  # ...subsumed                          : 22
% 0.20/0.52  # ...remaining for further processing  : 232
% 0.20/0.52  # Other redundant clauses eliminated   : 5
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 0
% 0.20/0.52  # Backward-rewritten                   : 0
% 0.20/0.52  # Generated clauses                    : 443
% 0.20/0.52  # ...of the previous two non-redundant : 405
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 2
% 0.20/0.52  # Paramodulations                      : 438
% 0.20/0.52  # Factorizations                       : 0
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 5
% 0.20/0.52  # Total rewrite steps                  : 23
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 150
% 0.20/0.52  #    Positive orientable unit clauses  : 22
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 8
% 0.20/0.52  #    Non-unit-clauses                  : 120
% 0.20/0.52  # Current number of unprocessed clauses: 302
% 0.20/0.52  # ...number of literals in the above   : 877
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 77
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 3705
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 2596
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 24
% 0.20/0.52  # Unit Clause-clause subsumption calls : 478
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 5
% 0.20/0.52  # BW rewrite match successes           : 0
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 11207
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.022 s
% 0.20/0.52  # System time              : 0.001 s
% 0.20/0.52  # Total time               : 0.023 s
% 0.20/0.52  # Maximum resident set size: 2048 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.024 s
% 0.20/0.52  # System time              : 0.003 s
% 0.20/0.52  # Total time               : 0.027 s
% 0.20/0.52  # Maximum resident set size: 1712 pages
% 0.20/0.52  % E---3.1 exiting
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------