TSTP Solution File: LCL646+1.001 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 18:27:35 EDT 2023

% Result   : Theorem 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :   16 (   6 avg)
%            Number of connectives :   86 (  40   ~;  35   |;  11   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   23 (   0 sgn;  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p6(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p4(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p5(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p3(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p2(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p1(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.uAaDd9k0KA/E---3.1_29786.p',main) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p3(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).

fof(c_0_2,negated_conjecture,
    ! [X4,X5,X6,X7] :
      ( ( ~ r1(esk1_0,X4)
        | p6(X4) )
      & ( ~ r1(esk1_0,X5)
        | p2(X5) )
      & ( ~ r1(esk1_0,X6)
        | p4(X6) )
      & ( ~ r1(esk1_0,X7)
        | p2(X7) )
      & r1(esk1_0,esk2_0)
      & ~ p5(esk2_0)
      & r1(esk1_0,esk3_0)
      & ~ p3(esk3_0)
      & r1(esk1_0,esk4_0)
      & ~ p2(esk4_0)
      & r1(esk1_0,esk5_0)
      & ~ p1(esk5_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ~ p2(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( p2(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    r1(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ~ r1(esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_5,c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL646+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n020.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   : Mon Oct  2 12:28:01 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.uAaDd9k0KA/E---3.1_29786.p
% 0.21/0.50  # Version: 3.1pre001
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # new_bool_3 with pid 29872 completed with status 0
% 0.21/0.50  # Result found by new_bool_3
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50  # SAT001_MinMin_p005000_rr_RG with pid 29877 completed with status 0
% 0.21/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.001 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Theorem
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 1
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 12
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 12
% 0.21/0.50  # Processed clauses                    : 23
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 1
% 0.21/0.50  # ...remaining for further processing  : 21
% 0.21/0.50  # Other redundant clauses eliminated   : 0
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 0
% 0.21/0.50  # Generated clauses                    : 1
% 0.21/0.50  # ...of the previous two non-redundant : 1
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 1
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 0
% 0.21/0.50  # Total rewrite steps                  : 0
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 10
% 0.21/0.50  #    Positive orientable unit clauses  : 2
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 5
% 0.21/0.50  #    Non-unit-clauses                  : 3
% 0.21/0.50  # Current number of unprocessed clauses: 1
% 0.21/0.50  # ...number of literals in the above   : 1
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 11
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 1
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 1
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 1
% 0.21/0.50  # Unit Clause-clause subsumption calls : 12
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 0
% 0.21/0.50  # BW rewrite match successes           : 0
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 520
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.001 s
% 0.21/0.50  # System time              : 0.004 s
% 0.21/0.50  # Total time               : 0.005 s
% 0.21/0.50  # Maximum resident set size: 1752 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.002 s
% 0.21/0.50  # System time              : 0.006 s
% 0.21/0.50  # Total time               : 0.008 s
% 0.21/0.50  # Maximum resident set size: 1672 pages
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------