TSTP Solution File: SWV217+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV217+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:52:08 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :  269 ( 219 equ)
%            Maximal formula atoms :   81 (  22 avg)
%            Number of connectives :  418 ( 161   ~;  57   |; 194   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (  13 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   18 (   4 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0241,conjecture,
    ! [X14,X18] :
      ( ( leq(n0,X14)
        & leq(n0,X18)
        & leq(X14,n5)
        & leq(X18,n5) )
     => ( ( ~ ( n0 = X14
              & n4 = X18 )
          & ~ ( n0 = X14
              & n5 = X18 )
          & ~ ( n0 = X18
              & n3 = X14 )
          & ~ ( n0 = X18
              & n4 = X14 )
          & ~ ( n0 = X18
              & n5 = X14 )
          & ~ ( n1 = X14
              & n4 = X18 )
          & ~ ( n1 = X14
              & n5 = X18 )
          & ~ ( n1 = X18
              & n3 = X14 )
          & ~ ( n1 = X18
              & n4 = X14 )
          & ~ ( n1 = X18
              & n5 = X14 )
          & ~ ( n2 = X14
              & n3 = X18 )
          & ~ ( n2 = X14
              & n4 = X18 )
          & ~ ( n2 = X14
              & n5 = X18 )
          & ~ ( n2 = X18
              & n3 = X14 )
          & ~ ( n2 = X18
              & n4 = X14 )
          & ~ ( n2 = X18
              & n5 = X14 )
          & ~ ( n3 = X14
              & n3 = X18 )
          & ~ ( n3 = X14
              & n4 = X18 )
          & ~ ( n3 = X14
              & n5 = X18 )
          & ~ ( n3 = X18
              & n4 = X14 )
          & ~ ( n3 = X18
              & n5 = X14 )
          & ~ ( n4 = X14
              & n4 = X18 )
          & ~ ( n4 = X14
              & n5 = X18 )
          & ~ ( n4 = X18
              & n5 = X14 )
          & ~ ( n5 = X14
              & n5 = X18 )
          & n2 = X14
          & n2 = X18
          & n3 = X18 )
       => times(divide(n1,n400),a_select2(sigma,n2)) = n0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1Ot2cIbPQf/E---3.1_5904.p',quaternion_ds1_symm_0241) ).

fof(c_0_1,plain,
    ! [X14,X18] :
      ( epred1_2(X18,X14)
    <=> ( ~ ( n0 = X14
            & n4 = X18 )
        & ~ ( n0 = X14
            & n5 = X18 )
        & ~ ( n0 = X18
            & n3 = X14 )
        & ~ ( n0 = X18
            & n4 = X14 )
        & ~ ( n0 = X18
            & n5 = X14 )
        & ~ ( n1 = X14
            & n4 = X18 )
        & ~ ( n1 = X14
            & n5 = X18 )
        & ~ ( n1 = X18
            & n3 = X14 )
        & ~ ( n1 = X18
            & n4 = X14 )
        & ~ ( n1 = X18
            & n5 = X14 )
        & ~ ( n2 = X14
            & n3 = X18 )
        & ~ ( n2 = X14
            & n4 = X18 )
        & ~ ( n2 = X14
            & n5 = X18 )
        & ~ ( n2 = X18
            & n3 = X14 )
        & ~ ( n2 = X18
            & n4 = X14 )
        & ~ ( n2 = X18
            & n5 = X14 )
        & ~ ( n3 = X14
            & n3 = X18 )
        & ~ ( n3 = X14
            & n4 = X18 )
        & ~ ( n3 = X14
            & n5 = X18 )
        & ~ ( n3 = X18
            & n4 = X14 )
        & ~ ( n3 = X18
            & n5 = X14 )
        & ~ ( n4 = X14
            & n4 = X18 )
        & ~ ( n4 = X14
            & n5 = X18 )
        & ~ ( n4 = X18
            & n5 = X14 )
        & ~ ( n5 = X14
            & n5 = X18 )
        & n2 = X14
        & n2 = X18
        & n3 = X18 ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ! [X14,X18] :
      ( epred1_2(X18,X14)
     => ( ~ ( n0 = X14
            & n4 = X18 )
        & ~ ( n0 = X14
            & n5 = X18 )
        & ~ ( n0 = X18
            & n3 = X14 )
        & ~ ( n0 = X18
            & n4 = X14 )
        & ~ ( n0 = X18
            & n5 = X14 )
        & ~ ( n1 = X14
            & n4 = X18 )
        & ~ ( n1 = X14
            & n5 = X18 )
        & ~ ( n1 = X18
            & n3 = X14 )
        & ~ ( n1 = X18
            & n4 = X14 )
        & ~ ( n1 = X18
            & n5 = X14 )
        & ~ ( n2 = X14
            & n3 = X18 )
        & ~ ( n2 = X14
            & n4 = X18 )
        & ~ ( n2 = X14
            & n5 = X18 )
        & ~ ( n2 = X18
            & n3 = X14 )
        & ~ ( n2 = X18
            & n4 = X14 )
        & ~ ( n2 = X18
            & n5 = X14 )
        & ~ ( n3 = X14
            & n3 = X18 )
        & ~ ( n3 = X14
            & n4 = X18 )
        & ~ ( n3 = X14
            & n5 = X18 )
        & ~ ( n3 = X18
            & n4 = X14 )
        & ~ ( n3 = X18
            & n5 = X14 )
        & ~ ( n4 = X14
            & n4 = X18 )
        & ~ ( n4 = X14
            & n5 = X18 )
        & ~ ( n4 = X18
            & n5 = X14 )
        & ~ ( n5 = X14
            & n5 = X18 )
        & n2 = X14
        & n2 = X18
        & n3 = X18 ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X14,X18] :
        ( ( leq(n0,X14)
          & leq(n0,X18)
          & leq(X14,n5)
          & leq(X18,n5) )
       => ( epred1_2(X18,X14)
         => times(divide(n1,n400),a_select2(sigma,n2)) = n0 ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0241]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X69,X70] :
      ( ( n0 != X69
        | n4 != X70
        | ~ epred1_2(X70,X69) )
      & ( n0 != X69
        | n5 != X70
        | ~ epred1_2(X70,X69) )
      & ( n0 != X70
        | n3 != X69
        | ~ epred1_2(X70,X69) )
      & ( n0 != X70
        | n4 != X69
        | ~ epred1_2(X70,X69) )
      & ( n0 != X70
        | n5 != X69
        | ~ epred1_2(X70,X69) )
      & ( n1 != X69
        | n4 != X70
        | ~ epred1_2(X70,X69) )
      & ( n1 != X69
        | n5 != X70
        | ~ epred1_2(X70,X69) )
      & ( n1 != X70
        | n3 != X69
        | ~ epred1_2(X70,X69) )
      & ( n1 != X70
        | n4 != X69
        | ~ epred1_2(X70,X69) )
      & ( n1 != X70
        | n5 != X69
        | ~ epred1_2(X70,X69) )
      & ( n2 != X69
        | n3 != X70
        | ~ epred1_2(X70,X69) )
      & ( n2 != X69
        | n4 != X70
        | ~ epred1_2(X70,X69) )
      & ( n2 != X69
        | n5 != X70
        | ~ epred1_2(X70,X69) )
      & ( n2 != X70
        | n3 != X69
        | ~ epred1_2(X70,X69) )
      & ( n2 != X70
        | n4 != X69
        | ~ epred1_2(X70,X69) )
      & ( n2 != X70
        | n5 != X69
        | ~ epred1_2(X70,X69) )
      & ( n3 != X69
        | n3 != X70
        | ~ epred1_2(X70,X69) )
      & ( n3 != X69
        | n4 != X70
        | ~ epred1_2(X70,X69) )
      & ( n3 != X69
        | n5 != X70
        | ~ epred1_2(X70,X69) )
      & ( n3 != X70
        | n4 != X69
        | ~ epred1_2(X70,X69) )
      & ( n3 != X70
        | n5 != X69
        | ~ epred1_2(X70,X69) )
      & ( n4 != X69
        | n4 != X70
        | ~ epred1_2(X70,X69) )
      & ( n4 != X69
        | n5 != X70
        | ~ epred1_2(X70,X69) )
      & ( n4 != X70
        | n5 != X69
        | ~ epred1_2(X70,X69) )
      & ( n5 != X69
        | n5 != X70
        | ~ epred1_2(X70,X69) )
      & ( n2 = X69
        | ~ epred1_2(X70,X69) )
      & ( n2 = X70
        | ~ epred1_2(X70,X69) )
      & ( n3 = X70
        | ~ epred1_2(X70,X69) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_5,negated_conjecture,
    ( leq(n0,esk1_0)
    & leq(n0,esk2_0)
    & leq(esk1_0,n5)
    & leq(esk2_0,n5)
    & epred1_2(esk2_0,esk1_0)
    & times(divide(n1,n400),a_select2(sigma,n2)) != n0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( n2 != X1
    | n3 != X2
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( n3 = X1
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( n2 = X1
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    epred1_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ~ epred1_2(X1,X2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV217+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n019.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   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:53:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.1Ot2cIbPQf/E---3.1_5904.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 5982 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.20/0.50  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 5985 completed with status 0
% 0.20/0.50  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.20/0.50  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.002 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 92
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 29
% 0.20/0.50  # Initial clauses                      : 98
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 98
% 0.20/0.50  # Processed clauses                    : 63
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 63
% 0.20/0.50  # Other redundant clauses eliminated   : 20
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 13
% 0.20/0.50  # Backward-rewritten                   : 0
% 0.20/0.50  # Generated clauses                    : 11
% 0.20/0.50  # ...of the previous two non-redundant : 10
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 2
% 0.20/0.50  # Paramodulations                      : 0
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 20
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 1
% 0.20/0.50  # ...of those cached                   : 0
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 39
% 0.20/0.50  #    Positive orientable unit clauses  : 36
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 3
% 0.20/0.50  #    Non-unit-clauses                  : 0
% 0.20/0.50  # Current number of unprocessed clauses: 45
% 0.20/0.50  # ...number of literals in the above   : 115
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 14
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 7
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 7
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 2
% 0.20/0.50  # Unit Clause-clause subsumption calls : 17
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 4
% 0.20/0.50  # BW rewrite match successes           : 0
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 4557
% 0.20/0.50  # Search garbage collected termcells   : 891
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.008 s
% 0.20/0.50  # System time              : 0.001 s
% 0.20/0.50  # Total time               : 0.009 s
% 0.20/0.50  # Maximum resident set size: 2104 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.010 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.014 s
% 0.20/0.50  # Maximum resident set size: 1816 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------