TSTP Solution File: SWV121+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 19:43:29 EDT 2023

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   40 (   6 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :   35 (   3   ~;   0   |;  23   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   12 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0014,conjecture,
    ( ( ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,minus(n6,n1))
            & leq(X18,minus(n6,n1)) )
         => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,minus(n3,n1))
            & leq(X20,minus(n3,n1)) )
         => a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
      & ! [X21,X22] :
          ( ( leq(n0,X21)
            & leq(n0,X22)
            & leq(X21,minus(n6,n1))
            & leq(X22,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) )
   => true ),
    file('/export/starexec/sandbox2/tmp/tmp.Uno83Pp6FV/E---3.1_5982.p',quaternion_ds1_symm_0014) ).

fof(ttrue,axiom,
    true,
    file('/export/starexec/sandbox2/tmp/tmp.Uno83Pp6FV/E---3.1_5982.p',ttrue) ).

fof(c_0_2,plain,
    ( epred1_0
  <=> ( ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,minus(n6,n1))
            & leq(X18,minus(n6,n1)) )
         => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,minus(n3,n1))
            & leq(X20,minus(n3,n1)) )
         => a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
      & ! [X21,X22] :
          ( ( leq(n0,X21)
            & leq(n0,X22)
            & leq(X21,minus(n6,n1))
            & leq(X22,minus(n6,n1)) )
         => a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) ) ) ),
    introduced(definition) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => true ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0014]),c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ( epred1_0
    & ~ true ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ~ true,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 03:31:14 EDT 2023
% 0.16/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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.Uno83Pp6FV/E---3.1_5982.p
% 0.17/0.45  # Version: 3.1pre001
% 0.17/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # new_bool_1 with pid 6072 completed with status 0
% 0.17/0.45  # Result found by new_bool_1
% 0.17/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGUSM-FFMM31-DFFFFFNN
% 0.17/0.45  # partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 0.17/0.45  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 6074 completed with status 0
% 0.17/0.45  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.45  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGUSM-FFMM31-DFFFFFNN
% 0.17/0.45  # partial match(1): FGHSM-FFMM31-DFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.002 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 94
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 23
% 0.17/0.45  # Initial clauses                      : 78
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 78
% 0.17/0.45  # Processed clauses                    : 2
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 1
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 0
% 0.17/0.45  # Backward-rewritten                   : 0
% 0.17/0.45  # Generated clauses                    : 0
% 0.17/0.45  # ...of the previous two non-redundant : 0
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 0
% 0.17/0.45  # Paramodulations                      : 0
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Total rewrite steps                  : 1
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 1
% 0.17/0.45  #    Positive orientable unit clauses  : 1
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 0
% 0.17/0.45  #    Non-unit-clauses                  : 0
% 0.17/0.45  # Current number of unprocessed clauses: 76
% 0.17/0.45  # ...number of literals in the above   : 144
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 0
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.45  # Unit Clause-clause subsumption calls : 0
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 0
% 0.17/0.45  # BW rewrite match successes           : 0
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 3658
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.004 s
% 0.17/0.45  # System time              : 0.001 s
% 0.17/0.45  # Total time               : 0.005 s
% 0.17/0.45  # Maximum resident set size: 2076 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.006 s
% 0.17/0.45  # System time              : 0.003 s
% 0.17/0.45  # Total time               : 0.010 s
% 0.17/0.45  # Maximum resident set size: 1800 pages
% 0.17/0.45  % E---3.1 exiting
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------