TSTP Solution File: NUM647_8 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM647_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 01:15:15 EDT 2024

% Result   : Theorem 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (  10   ~;   3   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    nat: $tType ).

tff(decl_22,type,
    x: nat ).

tff(decl_23,type,
    y: nat ).

tff(decl_24,type,
    z: nat ).

tff(decl_25,type,
    pl: ( nat * nat ) > nat ).

tff(satz8,axiom,
    ! [X2: nat,X3: nat,X4: nat] :
      ( ( X3 != X4 )
     => ( pl(X2,X3) != pl(X2,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8) ).

tff(satz8a,conjecture,
    y = z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz8a) ).

tff(i,axiom,
    pl(x,y) = pl(x,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).

tff(c_0_3,plain,
    ! [X2: nat,X3: nat,X4: nat] :
      ( ( X3 != X4 )
     => ( pl(X2,X3) != pl(X2,X4) ) ),
    inference(fof_simplification,[status(thm)],[satz8]) ).

tff(c_0_4,plain,
    ! [X5: nat,X6: nat,X7: nat] :
      ( ( X6 = X7 )
      | ( pl(X5,X6) != pl(X5,X7) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

tff(c_0_5,negated_conjecture,
    y != z,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz8a])]) ).

tcf(c_0_6,plain,
    ! [X2: nat,X4: nat,X3: nat] :
      ( ( X2 = X3 )
      | ( pl(X4,X2) != pl(X4,X3) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

tcf(c_0_7,plain,
    pl(x,y) = pl(x,z),
    inference(split_conjunct,[status(thm)],[i]) ).

tff(c_0_8,negated_conjecture,
    y != z,
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

tcf(c_0_9,plain,
    ! [X2: nat] :
      ( ( X2 = y )
      | ( pl(x,X2) != pl(x,z) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

tcf(c_0_10,negated_conjecture,
    y != z,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM647_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 07:06:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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/benchmark/theBenchmark.p
% 0.20/0.48  # Version: 3.1.0
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # sh5l with pid 4655 completed with status 0
% 0.20/0.48  # Result found by sh5l
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48  # Search class: FHUPF-FFSF22-SFFFFFNN
% 0.20/0.48  # partial match(1): FUUPF-FFSF22-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # SAT001_MinMin_p005000_rr_RG with pid 4658 completed with status 0
% 0.20/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48  # Search class: FHUPF-FFSF22-SFFFFFNN
% 0.20/0.48  # partial match(1): FUUPF-FFSF22-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Theorem
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 9
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 6
% 0.20/0.48  # Initial clauses                      : 3
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 3
% 0.20/0.48  # Processed clauses                    : 7
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 7
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 0
% 0.20/0.48  # Backward-rewritten                   : 0
% 0.20/0.48  # Generated clauses                    : 4
% 0.20/0.48  # ...of the previous two non-redundant : 2
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 0
% 0.20/0.48  # Paramodulations                      : 2
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 2
% 0.20/0.48  # Disequality decompositions           : 0
% 0.20/0.48  # Total rewrite steps                  : 0
% 0.20/0.48  # ...of those cached                   : 0
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 4
% 0.20/0.48  #    Positive orientable unit clauses  : 1
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 1
% 0.20/0.48  #    Non-unit-clauses                  : 2
% 0.20/0.48  # Current number of unprocessed clauses: 1
% 0.20/0.48  # ...number of literals in the above   : 2
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 3
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 1
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 1
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.48  # Unit Clause-clause subsumption calls : 0
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 0
% 0.20/0.48  # BW rewrite match successes           : 0
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 173
% 0.20/0.48  # Search garbage collected termcells   : 29
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.002 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1612 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.003 s
% 0.20/0.48  # System time              : 0.004 s
% 0.20/0.48  # Total time               : 0.007 s
% 0.20/0.48  # Maximum resident set size: 1708 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.48  % E exiting
%------------------------------------------------------------------------------