TSTP Solution File: SYN380+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN380+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 20:14:40 EDT 2023

% Result   : Theorem 0.22s 0.51s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   21 (   9   ~;   4   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   18 (   2 sgn;   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2132,conjecture,
    ( ! [X1] : ~ big_r(X1,X1)
   => ? [X2,X3] :
        ( ~ big_r(X2,X3)
        & ( big_q(X3,X2)
         => ! [X4] : big_q(X4,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9LYeRlAOBJ/E---3.1_15524.p',x2132) ).

fof(c_0_1,negated_conjecture,
    ~ ( ! [X1] : ~ big_r(X1,X1)
     => ? [X2,X3] :
          ( ~ big_r(X2,X3)
          & ( big_q(X3,X2)
           => ! [X4] : big_q(X4,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[x2132])]) ).

fof(c_0_2,negated_conjecture,
    ! [X5,X6,X7] :
      ( ~ big_r(X5,X5)
      & ( big_q(X7,X6)
        | big_r(X6,X7) )
      & ( ~ big_q(esk1_2(X6,X7),esk1_2(X6,X7))
        | big_r(X6,X7) ) ),
    inference(distribute,[status(thm)],[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,
    ( big_r(X1,X2)
    | ~ big_q(esk1_2(X1,X2),esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( big_q(X1,X2)
    | big_r(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ big_r(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    big_r(X1,X2),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

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
% 0.12/0.13  % Problem    : SYN380+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n005.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   : Mon Oct  2 18:38:31 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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.9LYeRlAOBJ/E---3.1_15524.p
% 0.22/0.51  # Version: 3.1pre001
% 0.22/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # Starting sh5l with 300s (1) cores
% 0.22/0.51  # new_bool_1 with pid 15637 completed with status 0
% 0.22/0.51  # Result found by new_bool_1
% 0.22/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUNF-FFSF22-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51  # SAT001_MinMin_p005000_rr_RG with pid 15645 completed with status 0
% 0.22/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUNF-FFSF22-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51  # Preprocessing time       : 0.001 s
% 0.22/0.51  # Presaturation interreduction done
% 0.22/0.51  
% 0.22/0.51  # Proof found!
% 0.22/0.51  # SZS status Theorem
% 0.22/0.51  # SZS output start CNFRefutation
% See solution above
% 0.22/0.51  # Parsed axioms                        : 1
% 0.22/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.51  # Initial clauses                      : 3
% 0.22/0.51  # Removed in clause preprocessing      : 0
% 0.22/0.51  # Initial clauses in saturation        : 3
% 0.22/0.51  # Processed clauses                    : 7
% 0.22/0.51  # ...of these trivial                  : 0
% 0.22/0.51  # ...subsumed                          : 0
% 0.22/0.51  # ...remaining for further processing  : 7
% 0.22/0.51  # Other redundant clauses eliminated   : 0
% 0.22/0.51  # Clauses deleted for lack of memory   : 0
% 0.22/0.51  # Backward-subsumed                    : 0
% 0.22/0.51  # Backward-rewritten                   : 3
% 0.22/0.51  # Generated clauses                    : 1
% 0.22/0.51  # ...of the previous two non-redundant : 1
% 0.22/0.51  # ...aggressively subsumed             : 0
% 0.22/0.51  # Contextual simplify-reflections      : 0
% 0.22/0.51  # Paramodulations                      : 1
% 0.22/0.51  # Factorizations                       : 0
% 0.22/0.51  # NegExts                              : 0
% 0.22/0.51  # Equation resolutions                 : 0
% 0.22/0.51  # Total rewrite steps                  : 3
% 0.22/0.51  # Propositional unsat checks           : 0
% 0.22/0.51  #    Propositional check models        : 0
% 0.22/0.51  #    Propositional check unsatisfiable : 0
% 0.22/0.51  #    Propositional clauses             : 0
% 0.22/0.51  #    Propositional clauses after purity: 0
% 0.22/0.51  #    Propositional unsat core size     : 0
% 0.22/0.51  #    Propositional preprocessing time  : 0.000
% 0.22/0.51  #    Propositional encoding time       : 0.000
% 0.22/0.51  #    Propositional solver time         : 0.000
% 0.22/0.51  #    Success case prop preproc time    : 0.000
% 0.22/0.51  #    Success case prop encoding time   : 0.000
% 0.22/0.51  #    Success case prop solver time     : 0.000
% 0.22/0.51  # Current number of processed clauses  : 1
% 0.22/0.51  #    Positive orientable unit clauses  : 1
% 0.22/0.51  #    Positive unorientable unit clauses: 0
% 0.22/0.51  #    Negative unit clauses             : 0
% 0.22/0.51  #    Non-unit-clauses                  : 0
% 0.22/0.51  # Current number of unprocessed clauses: 0
% 0.22/0.51  # ...number of literals in the above   : 0
% 0.22/0.51  # Current number of archived formulas  : 0
% 0.22/0.51  # Current number of archived clauses   : 6
% 0.22/0.51  # Clause-clause subsumption calls (NU) : 2
% 0.22/0.51  # Rec. Clause-clause subsumption calls : 2
% 0.22/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.51  # Unit Clause-clause subsumption calls : 0
% 0.22/0.51  # Rewrite failures with RHS unbound    : 0
% 0.22/0.51  # BW rewrite match attempts            : 3
% 0.22/0.51  # BW rewrite match successes           : 3
% 0.22/0.51  # Condensation attempts                : 0
% 0.22/0.51  # Condensation successes               : 0
% 0.22/0.51  # Termbank termtop insertions          : 202
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.003 s
% 0.22/0.51  # System time              : 0.001 s
% 0.22/0.51  # Total time               : 0.004 s
% 0.22/0.51  # Maximum resident set size: 1608 pages
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.003 s
% 0.22/0.51  # System time              : 0.004 s
% 0.22/0.51  # Total time               : 0.007 s
% 0.22/0.51  # Maximum resident set size: 1664 pages
% 0.22/0.51  % E---3.1 exiting
% 0.22/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------