TSTP Solution File: SWW394+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW394+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 00:10:44 EDT 2022

% Result   : Theorem 0.95s 2.14s
% Output   : CNFRefutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   2 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(fact_asm,axiom,
    ! [X4,X7,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X7),X4))
     => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_asm) ).

fof(fact_subset__refl,axiom,
    ! [X10,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X10),X10)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subset__refl) ).

fof(c_0_3,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_4,plain,
    ! [X8,X9,X10] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X10),tc_HOL_Obool)),X9),X8))
      | c_Hoare__Mirabelle_Ohoare__derivs(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).

fof(c_0_5,plain,
    ! [X11,X12] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool)),X11),X11)),
    inference(variable_rename,[status(thm)],[fact_subset__refl]) ).

fof(c_0_6,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X2)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW394+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n021.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 : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun  4 12:47:03 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.95/2.14  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.95/2.14  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.95/2.14  # Preprocessing time       : 0.161 s
% 0.95/2.14  
% 0.95/2.14  # Proof found!
% 0.95/2.14  # SZS status Theorem
% 0.95/2.14  # SZS output start CNFRefutation
% See solution above
% 0.95/2.14  # Proof object total steps             : 12
% 0.95/2.14  # Proof object clause steps            : 5
% 0.95/2.14  # Proof object formula steps           : 7
% 0.95/2.14  # Proof object conjectures             : 5
% 0.95/2.14  # Proof object clause conjectures      : 2
% 0.95/2.14  # Proof object formula conjectures     : 3
% 0.95/2.14  # Proof object initial clauses used    : 3
% 0.95/2.14  # Proof object initial formulas used   : 3
% 0.95/2.14  # Proof object generating inferences   : 1
% 0.95/2.14  # Proof object simplifying inferences  : 2
% 0.95/2.14  # Training examples: 0 positive, 0 negative
% 0.95/2.14  # Parsed axioms                        : 5224
% 0.95/2.14  # Removed by relevancy pruning/SinE    : 5123
% 0.95/2.14  # Initial clauses                      : 163
% 0.95/2.14  # Removed in clause preprocessing      : 6
% 0.95/2.14  # Initial clauses in saturation        : 157
% 0.95/2.14  # Processed clauses                    : 158
% 0.95/2.14  # ...of these trivial                  : 2
% 0.95/2.14  # ...subsumed                          : 37
% 0.95/2.14  # ...remaining for further processing  : 119
% 0.95/2.14  # Other redundant clauses eliminated   : 16
% 0.95/2.14  # Clauses deleted for lack of memory   : 0
% 0.95/2.14  # Backward-subsumed                    : 0
% 0.95/2.14  # Backward-rewritten                   : 2
% 0.95/2.14  # Generated clauses                    : 715
% 0.95/2.14  # ...of the previous two non-trivial   : 601
% 0.95/2.14  # Contextual simplify-reflections      : 8
% 0.95/2.14  # Paramodulations                      : 694
% 0.95/2.14  # Factorizations                       : 0
% 0.95/2.14  # Equation resolutions                 : 22
% 0.95/2.14  # Current number of processed clauses  : 103
% 0.95/2.14  #    Positive orientable unit clauses  : 17
% 0.95/2.14  #    Positive unorientable unit clauses: 3
% 0.95/2.14  #    Negative unit clauses             : 5
% 0.95/2.14  #    Non-unit-clauses                  : 78
% 0.95/2.14  # Current number of unprocessed clauses: 598
% 0.95/2.14  # ...number of literals in the above   : 1796
% 0.95/2.14  # Current number of archived formulas  : 0
% 0.95/2.14  # Current number of archived clauses   : 2
% 0.95/2.14  # Clause-clause subsumption calls (NU) : 1971
% 0.95/2.14  # Rec. Clause-clause subsumption calls : 1326
% 0.95/2.14  # Non-unit clause-clause subsumptions  : 38
% 0.95/2.14  # Unit Clause-clause subsumption calls : 75
% 0.95/2.14  # Rewrite failures with RHS unbound    : 0
% 0.95/2.14  # BW rewrite match attempts            : 38
% 0.95/2.14  # BW rewrite match successes           : 11
% 0.95/2.14  # Condensation attempts                : 0
% 0.95/2.14  # Condensation successes               : 0
% 0.95/2.14  # Termbank termtop insertions          : 168258
% 0.95/2.14  
% 0.95/2.14  # -------------------------------------------------
% 0.95/2.14  # User time                : 0.170 s
% 0.95/2.14  # System time              : 0.010 s
% 0.95/2.14  # Total time               : 0.180 s
% 0.95/2.14  # Maximum resident set size: 13668 pages
% 0.95/24.13  eprover: CPU time limit exceeded, terminating
% 0.95/24.14  eprover: CPU time limit exceeded, terminating
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.20  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.20  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.20  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.20  eprover: No such file or directory
% 0.95/24.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.21  eprover: No such file or directory
%------------------------------------------------------------------------------