TSTP Solution File: SWV232+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 19:43:47 EDT 2023

% Result   : Theorem 0.20s 0.51s
% 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       :  127 (  82 equ)
%            Maximal formula atoms :   29 (  10 avg)
%            Number of connectives :  173 (  58   ~;  26   |;  79   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-3 aty)
%            Number of variables   :   24 (   4 sgn;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0841,conjecture,
    ( ! [X14,X18] :
        ( ( leq(n0,X14)
          & leq(n0,X18)
          & leq(X14,n5)
          & leq(X18,n5) )
       => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
   => ! [X4,X20] :
        ( ( leq(n0,X4)
          & leq(n0,X20)
          & leq(X4,n2)
          & leq(X20,n2) )
       => ( ( ~ ( n0 = X4
                & n1 = X20 )
            & ~ ( n0 = X4
                & n2 = X20 )
            & ~ ( n0 = X20
                & n2 = X4 )
            & ~ ( n1 = X4
                & n1 = X20 )
            & ~ ( n1 = X4
                & n2 = X20 )
            & ~ ( n1 = X20
                & n2 = X4 )
            & ~ ( n2 = X4
                & n2 = X20 )
            & n0 = X20
            & n1 = X4
            & n1 = X20
            & n2 = X4 )
         => a_select2(rho,n1) = n0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TF7SUI5xmU/E---3.1_13837.p',quaternion_ds1_symm_0841) ).

fof(c_0_1,plain,
    ! [X20,X4] :
      ( epred1_2(X4,X20)
    <=> ( ~ ( n0 = X4
            & n1 = X20 )
        & ~ ( n0 = X4
            & n2 = X20 )
        & ~ ( n0 = X20
            & n2 = X4 )
        & ~ ( n1 = X4
            & n1 = X20 )
        & ~ ( n1 = X4
            & n2 = X20 )
        & ~ ( n1 = X20
            & n2 = X4 )
        & ~ ( n2 = X4
            & n2 = X20 )
        & n0 = X20
        & n1 = X4
        & n1 = X20
        & n2 = X4 ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ! [X20,X4] :
      ( epred1_2(X4,X20)
     => ( ~ ( n0 = X4
            & n1 = X20 )
        & ~ ( n0 = X4
            & n2 = X20 )
        & ~ ( n0 = X20
            & n2 = X4 )
        & ~ ( n1 = X4
            & n1 = X20 )
        & ~ ( n1 = X4
            & n2 = X20 )
        & ~ ( n1 = X20
            & n2 = X4 )
        & ~ ( n2 = X4
            & n2 = X20 )
        & n0 = X20
        & n1 = X4
        & n1 = X20
        & n2 = X4 ) ),
    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) )
         => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
     => ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,n2) )
         => ( epred1_2(X4,X20)
           => a_select2(rho,n1) = n0 ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0841]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X71,X72] :
      ( ( n0 != X72
        | n1 != X71
        | ~ epred1_2(X72,X71) )
      & ( n0 != X72
        | n2 != X71
        | ~ epred1_2(X72,X71) )
      & ( n0 != X71
        | n2 != X72
        | ~ epred1_2(X72,X71) )
      & ( n1 != X72
        | n1 != X71
        | ~ epred1_2(X72,X71) )
      & ( n1 != X72
        | n2 != X71
        | ~ epred1_2(X72,X71) )
      & ( n1 != X71
        | n2 != X72
        | ~ epred1_2(X72,X71) )
      & ( n2 != X72
        | n2 != X71
        | ~ epred1_2(X72,X71) )
      & ( n0 = X71
        | ~ epred1_2(X72,X71) )
      & ( n1 = X72
        | ~ epred1_2(X72,X71) )
      & ( n1 = X71
        | ~ epred1_2(X72,X71) )
      & ( n2 = X72
        | ~ epred1_2(X72,X71) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,negated_conjecture,
    ! [X28,X29] :
      ( ( ~ leq(n0,X28)
        | ~ leq(n0,X29)
        | ~ leq(X28,n5)
        | ~ leq(X29,n5)
        | a_select3(q_ds1_filter,X28,X29) = a_select3(q_ds1_filter,X29,X28) )
      & leq(n0,esk1_0)
      & leq(n0,esk2_0)
      & leq(esk1_0,n2)
      & leq(esk2_0,n2)
      & epred1_2(esk1_0,esk2_0)
      & a_select2(rho,n1) != n0 ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( n0 != X1
    | n2 != X2
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( n2 = X1
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( n0 = X1
    | ~ epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    epred1_2(esk1_0,esk2_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
% 0.07/0.13  % Problem    : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n011.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 04:31:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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.TF7SUI5xmU/E---3.1_13837.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr 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  # new_bool_3 with pid 13954 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.20/0.51  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 13957 completed with status 0
% 0.20/0.51  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.20/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.002 s
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 85
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 29
% 0.20/0.51  # Initial clauses                      : 75
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 75
% 0.20/0.51  # Processed clauses                    : 39
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 0
% 0.20/0.51  # ...remaining for further processing  : 39
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 5
% 0.20/0.51  # Backward-rewritten                   : 0
% 0.20/0.51  # Generated clauses                    : 6
% 0.20/0.51  # ...of the previous two non-redundant : 5
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 3
% 0.20/0.51  # Paramodulations                      : 5
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 0
% 0.20/0.51  # Total rewrite steps                  : 1
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 33
% 0.20/0.51  #    Positive orientable unit clauses  : 30
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 3
% 0.20/0.51  #    Non-unit-clauses                  : 0
% 0.20/0.51  # Current number of unprocessed clauses: 41
% 0.20/0.51  # ...number of literals in the above   : 97
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 6
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 9
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 9
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.51  # Unit Clause-clause subsumption calls : 5
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 4
% 0.20/0.51  # BW rewrite match successes           : 0
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 3502
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.004 s
% 0.20/0.51  # System time              : 0.004 s
% 0.20/0.51  # Total time               : 0.008 s
% 0.20/0.51  # Maximum resident set size: 1928 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.007 s
% 0.20/0.51  # System time              : 0.006 s
% 0.20/0.51  # Total time               : 0.013 s
% 0.20/0.51  # Maximum resident set size: 1796 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------