TSTP Solution File: GEO258+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 17:34:41 EDT 2023

% Result   : Theorem 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :   69 (  27   ~;  31   |;   8   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   40 (   2 sgn;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2,X1,X4,X5] :
      ( between_on_line(X2,X1,X4,X5)
     => between_on_line(X2,X5,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.GKGIdchy2J/E---3.1_4076.p',con) ).

fof(bet_def,axiom,
    ! [X2,X1,X4,X5] :
      ( between_on_line(X2,X1,X4,X5)
    <=> ( ( before_on_line(X2,X1,X4)
          & before_on_line(X2,X4,X5) )
        | ( before_on_line(X2,X5,X4)
          & before_on_line(X2,X4,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.GKGIdchy2J/E---3.1_4076.p',bet_def) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X2,X1,X4,X5] :
        ( between_on_line(X2,X1,X4,X5)
       => between_on_line(X2,X5,X4,X1) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_3,negated_conjecture,
    ( between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
    & ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,plain,
    ! [X17,X18,X19,X20] :
      ( ( before_on_line(X17,X20,X19)
        | before_on_line(X17,X18,X19)
        | ~ between_on_line(X17,X18,X19,X20) )
      & ( before_on_line(X17,X19,X18)
        | before_on_line(X17,X18,X19)
        | ~ between_on_line(X17,X18,X19,X20) )
      & ( before_on_line(X17,X20,X19)
        | before_on_line(X17,X19,X20)
        | ~ between_on_line(X17,X18,X19,X20) )
      & ( before_on_line(X17,X19,X18)
        | before_on_line(X17,X19,X20)
        | ~ between_on_line(X17,X18,X19,X20) )
      & ( ~ before_on_line(X17,X18,X19)
        | ~ before_on_line(X17,X19,X20)
        | between_on_line(X17,X18,X19,X20) )
      & ( ~ before_on_line(X17,X20,X19)
        | ~ before_on_line(X17,X19,X18)
        | between_on_line(X17,X18,X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[bet_def])])]) ).

cnf(c_0_5,negated_conjecture,
    ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X2,X3)
    | ~ before_on_line(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( between_on_line(X1,X4,X3,X2)
    | ~ before_on_line(X1,X2,X3)
    | ~ before_on_line(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ before_on_line(esk1_0,esk3_0,esk2_0)
    | ~ before_on_line(esk1_0,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( before_on_line(esk1_0,esk4_0,esk3_0)
    | before_on_line(esk1_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( before_on_line(esk1_0,esk4_0,esk3_0)
    | before_on_line(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ before_on_line(esk1_0,esk3_0,esk4_0)
    | ~ before_on_line(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_5,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( before_on_line(esk1_0,esk3_0,esk4_0)
    | ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( before_on_line(esk1_0,esk2_0,esk3_0)
    | ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_17,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ~ before_on_line(esk1_0,esk3_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_18]) ).

cnf(c_0_20,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X2,X4)
    | ~ between_on_line(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,negated_conjecture,
    ~ before_on_line(esk1_0,esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_19])]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_8]),c_0_21]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 06:43:08 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.GKGIdchy2J/E---3.1_4076.p
% 0.21/0.51  # Version: 3.1pre001
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4163 completed with status 0
% 0.21/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: FGHNF-FFMF21-SFFFFFNN
% 0.21/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.51  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.51  # Starting sh5l with 136s (1) cores
% 0.21/0.51  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4169 completed with status 0
% 0.21/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: FGHNF-FFMF21-SFFFFFNN
% 0.21/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.21/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Theorem
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 32
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 60
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 60
% 0.21/0.51  # Processed clauses                    : 111
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 23
% 0.21/0.51  # ...remaining for further processing  : 87
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 8
% 0.21/0.51  # Backward-rewritten                   : 3
% 0.21/0.51  # Generated clauses                    : 44
% 0.21/0.51  # ...of the previous two non-redundant : 35
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 1
% 0.21/0.51  # Paramodulations                      : 42
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Total rewrite steps                  : 5
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 42
% 0.21/0.51  #    Positive orientable unit clauses  : 6
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 13
% 0.21/0.51  #    Non-unit-clauses                  : 23
% 0.21/0.51  # Current number of unprocessed clauses: 15
% 0.21/0.51  # ...number of literals in the above   : 52
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 45
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 191
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 132
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 7
% 0.21/0.51  # Unit Clause-clause subsumption calls : 100
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 1
% 0.21/0.51  # BW rewrite match successes           : 1
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 3924
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.009 s
% 0.21/0.51  # System time              : 0.002 s
% 0.21/0.51  # Total time               : 0.011 s
% 0.21/0.51  # Maximum resident set size: 1896 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.036 s
% 0.21/0.51  # System time              : 0.008 s
% 0.21/0.51  # Total time               : 0.044 s
% 0.21/0.51  # Maximum resident set size: 1712 pages
% 0.21/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------