TSTP Solution File: SWW298+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW298+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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  : 600s
% DateTime : Thu Jul 21 00:10:30 EDT 2022

% Result   : Theorem 0.90s 2.07s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    ! [X3] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
     => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).

fof(conj_0,hypothesis,
    ! [X3] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
     => c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(fact_triple__valid__Suc,axiom,
    ! [X4,X5,X6] :
      ( c_Hoare__Mirabelle_Otriple__valid(X6,hAPP(c_Nat_OSuc,X5),X4)
     => c_Hoare__Mirabelle_Otriple__valid(X6,X5,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_triple__valid__Suc) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X3] :
        ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_ts))
       => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_4,hypothesis,
    ! [X4] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X4),v_ts))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).

fof(c_0_5,negated_conjecture,
    ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_0),v_ts))
    & ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,plain,
    ! [X7,X8,X9] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(X9,hAPP(c_Nat_OSuc,X8),X7)
      | c_Hoare__Mirabelle_Otriple__valid(X9,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_triple__valid__Suc])]) ).

cnf(c_0_7,hypothesis,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),X1)
    | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk1_0),v_ts)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Otriple__valid(X1,hAPP(c_Nat_OSuc,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_n),esk1_0),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWW298+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun  5 00:02:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.90/2.07  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.90/2.07  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.90/2.07  # Preprocessing time       : 0.230 s
% 0.90/2.07  
% 0.90/2.07  # Proof found!
% 0.90/2.07  # SZS status Theorem
% 0.90/2.07  # SZS output start CNFRefutation
% See solution above
% 0.90/2.07  # Proof object total steps             : 13
% 0.90/2.07  # Proof object clause steps            : 6
% 0.90/2.07  # Proof object formula steps           : 7
% 0.90/2.07  # Proof object conjectures             : 7
% 0.90/2.07  # Proof object clause conjectures      : 4
% 0.90/2.07  # Proof object formula conjectures     : 3
% 0.90/2.07  # Proof object initial clauses used    : 4
% 0.90/2.07  # Proof object initial formulas used   : 3
% 0.90/2.07  # Proof object generating inferences   : 2
% 0.90/2.07  # Proof object simplifying inferences  : 1
% 0.90/2.07  # Training examples: 0 positive, 0 negative
% 0.90/2.07  # Parsed axioms                        : 5225
% 0.90/2.07  # Removed by relevancy pruning/SinE    : 5124
% 0.90/2.07  # Initial clauses                      : 153
% 0.90/2.07  # Removed in clause preprocessing      : 11
% 0.90/2.07  # Initial clauses in saturation        : 142
% 0.90/2.07  # Processed clauses                    : 148
% 0.90/2.07  # ...of these trivial                  : 6
% 0.90/2.07  # ...subsumed                          : 40
% 0.90/2.07  # ...remaining for further processing  : 102
% 0.90/2.07  # Other redundant clauses eliminated   : 16
% 0.90/2.07  # Clauses deleted for lack of memory   : 0
% 0.90/2.07  # Backward-subsumed                    : 1
% 0.90/2.07  # Backward-rewritten                   : 4
% 0.90/2.07  # Generated clauses                    : 682
% 0.90/2.07  # ...of the previous two non-trivial   : 612
% 0.90/2.07  # Contextual simplify-reflections      : 1
% 0.90/2.07  # Paramodulations                      : 658
% 0.90/2.07  # Factorizations                       : 2
% 0.90/2.07  # Equation resolutions                 : 22
% 0.90/2.07  # Current number of processed clauses  : 90
% 0.90/2.07  #    Positive orientable unit clauses  : 17
% 0.90/2.07  #    Positive unorientable unit clauses: 1
% 0.90/2.07  #    Negative unit clauses             : 5
% 0.90/2.07  #    Non-unit-clauses                  : 67
% 0.90/2.07  # Current number of unprocessed clauses: 601
% 0.90/2.07  # ...number of literals in the above   : 1557
% 0.90/2.07  # Current number of archived formulas  : 0
% 0.90/2.07  # Current number of archived clauses   : 5
% 0.90/2.07  # Clause-clause subsumption calls (NU) : 844
% 0.90/2.07  # Rec. Clause-clause subsumption calls : 825
% 0.90/2.07  # Non-unit clause-clause subsumptions  : 29
% 0.90/2.07  # Unit Clause-clause subsumption calls : 8
% 0.90/2.07  # Rewrite failures with RHS unbound    : 0
% 0.90/2.07  # BW rewrite match attempts            : 38
% 0.90/2.07  # BW rewrite match successes           : 6
% 0.90/2.07  # Condensation attempts                : 0
% 0.90/2.07  # Condensation successes               : 0
% 0.90/2.07  # Termbank termtop insertions          : 156688
% 0.90/2.07  
% 0.90/2.07  # -------------------------------------------------
% 0.90/2.07  # User time                : 0.230 s
% 0.90/2.07  # System time              : 0.014 s
% 0.90/2.07  # Total time               : 0.244 s
% 0.90/2.07  # Maximum resident set size: 13536 pages
% 0.90/24.07  eprover: CPU time limit exceeded, terminating
% 0.90/24.07  eprover: CPU time limit exceeded, terminating
% 0.90/24.09  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.09  eprover: No such file or directory
% 0.90/24.09  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.09  eprover: No such file or directory
% 0.90/24.09  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.09  eprover: No such file or directory
% 0.90/24.09  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.09  eprover: No such file or directory
% 0.90/24.10  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.10  eprover: No such file or directory
% 0.90/24.10  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.10  eprover: No such file or directory
% 0.90/24.10  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.10  eprover: No such file or directory
% 0.90/24.10  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.10  eprover: No such file or directory
% 0.90/24.11  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.11  eprover: No such file or directory
% 0.90/24.11  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.11  eprover: No such file or directory
% 0.90/24.11  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.11  eprover: No such file or directory
% 0.90/24.11  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.11  eprover: No such file or directory
% 0.90/24.11  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.11  eprover: No such file or directory
% 0.90/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.12  eprover: No such file or directory
% 0.90/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.12  eprover: No such file or directory
% 0.90/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.12  eprover: No such file or directory
% 0.90/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.12  eprover: No such file or directory
% 0.90/24.12  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.12  eprover: No such file or directory
% 0.90/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.13  eprover: No such file or directory
% 0.90/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.14  eprover: No such file or directory
% 0.90/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.14  eprover: No such file or directory
% 0.90/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.90/24.15  eprover: No such file or directory
%------------------------------------------------------------------------------