TSTP Solution File: SWV397+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 19:44:32 EDT 2023

% Result   : Theorem 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   22 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   9   ~;   2   |;   1   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   32 (   3 sgn;  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l33_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ok(remove_cpq(triple(X1,X2,X3),X4))
     => contains_slb(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.AzUEe9T4xS/E---3.1_12256.p',l33_co) ).

fof(ax43,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
     => remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
    file('/export/starexec/sandbox2/tmp/tmp.AzUEe9T4xS/E---3.1_12256.p',ax43) ).

fof(ax40,axiom,
    ! [X1,X2] :
      ( ok(triple(X1,X2,bad))
    <=> ~ $true ),
    file('/export/starexec/sandbox2/tmp/tmp.AzUEe9T4xS/E---3.1_12256.p',ax40) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ok(remove_cpq(triple(X1,X2,X3),X4))
       => contains_slb(X2,X4) ),
    inference(assume_negation,[status(cth)],[l33_co]) ).

fof(c_0_4,plain,
    ! [X1,X2,X3,X4] :
      ( ~ contains_slb(X2,X4)
     => remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad) ),
    inference(fof_simplification,[status(thm)],[ax43]) ).

fof(c_0_5,plain,
    ! [X1,X2] : ~ ok(triple(X1,X2,bad)),
    inference(fof_simplification,[status(thm)],[ax40]) ).

fof(c_0_6,negated_conjecture,
    ( ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0))
    & ~ contains_slb(esk2_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_7,plain,
    ! [X23,X24,X25,X26] :
      ( contains_slb(X24,X26)
      | remove_cpq(triple(X23,X24,X25),X26) = triple(X23,X24,bad) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_8,plain,
    ! [X15,X16] : ~ ok(triple(X15,X16,bad)),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( contains_slb(X1,X2)
    | remove_cpq(triple(X3,X1,X4),X2) = triple(X3,X1,bad) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ~ ok(triple(X1,X2,bad)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ~ contains_slb(esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV397+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Oct  3 04:28:59 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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.AzUEe9T4xS/E---3.1_12256.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 12336 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: FGUSS-FFSF31-MFFFFFNN
% 0.21/0.50  # partial match(1): FGUSF-FFSF31-MFFFFFNN
% 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 12339 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: FGUSS-FFSF31-MFFFFFNN
% 0.21/0.50  # partial match(1): FGUSF-FFSF31-MFFFFFNN
% 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                        : 42
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 29
% 0.21/0.50  # Initial clauses                      : 16
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 16
% 0.21/0.50  # Processed clauses                    : 30
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 0
% 0.21/0.50  # ...remaining for further processing  : 30
% 0.21/0.50  # Other redundant clauses eliminated   : 1
% 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                    : 5
% 0.21/0.50  # ...of the previous two non-redundant : 3
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 1
% 0.21/0.50  # Paramodulations                      : 4
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 1
% 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  : 13
% 0.21/0.50  #    Positive orientable unit clauses  : 4
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 3
% 0.21/0.50  #    Non-unit-clauses                  : 6
% 0.21/0.50  # Current number of unprocessed clauses: 4
% 0.21/0.50  # ...number of literals in the above   : 12
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 16
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 6
% 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 : 1
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 1
% 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          : 1510
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.003 s
% 0.21/0.50  # System time              : 0.004 s
% 0.21/0.50  # Total time               : 0.006 s
% 0.21/0.50  # Maximum resident set size: 1884 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.006 s
% 0.21/0.50  # System time              : 0.004 s
% 0.21/0.50  # Total time               : 0.011 s
% 0.21/0.50  # Maximum resident set size: 1724 pages
% 0.21/0.50  % E---3.1 exiting
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------