TSTP Solution File: SWW323+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW323+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.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 00:10:34 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    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  13 con; 0-3 aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_5,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_5) ).

fof(conj_0,hypothesis,
    ! [X304] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X304)),hAPP(v_c0,X304)),hAPP(v_Q_H,X304))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
     => c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X304)),hAPP(v_c0,X304)),hAPP(v_Q,X304))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).

fof(conj_4,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
    & c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(c_Set_Oimage(t_a,tc_Hoare__Mirabelle_Otriple(t_b),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(c_COMBS(t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),c_Hoare__Mirabelle_Otriple_Otriple(t_b)),v_P_H)),v_c0)),v_Q_H)),v_F)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).

fof(c_0_3,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    inference(assume_negation,[status(cth)],[conj_5]) ).

fof(c_0_4,hypothesis,
    ! [X305] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X305)),hAPP(v_c0,X305)),hAPP(v_Q_H,X305))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
      | c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X305)),hAPP(v_c0,X305)),hAPP(v_Q,X305))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).

fof(c_0_5,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,X1)),hAPP(v_c0,X1)),hAPP(v_Q,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,X1)),hAPP(v_c0,X1)),hAPP(v_Q_H,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_b,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW323+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun  5 18:07:23 EDT 2022
% 0.12/0.34  % 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       : 0.251 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             : 10
% 0.95/2.14  # Proof object clause steps            : 4
% 0.95/2.14  # Proof object formula steps           : 6
% 0.95/2.14  # Proof object conjectures             : 4
% 0.95/2.14  # Proof object clause conjectures      : 1
% 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  : 1
% 0.95/2.14  # Training examples: 0 positive, 0 negative
% 0.95/2.14  # Parsed axioms                        : 5233
% 0.95/2.14  # Removed by relevancy pruning/SinE    : 5132
% 0.95/2.14  # Initial clauses                      : 171
% 0.95/2.14  # Removed in clause preprocessing      : 16
% 0.95/2.14  # Initial clauses in saturation        : 155
% 0.95/2.14  # Processed clauses                    : 13
% 0.95/2.14  # ...of these trivial                  : 2
% 0.95/2.14  # ...subsumed                          : 0
% 0.95/2.14  # ...remaining for further processing  : 11
% 0.95/2.14  # Other redundant clauses eliminated   : 0
% 0.95/2.14  # Clauses deleted for lack of memory   : 0
% 0.95/2.14  # Backward-subsumed                    : 0
% 0.95/2.14  # Backward-rewritten                   : 0
% 0.95/2.14  # Generated clauses                    : 4
% 0.95/2.14  # ...of the previous two non-trivial   : 2
% 0.95/2.14  # Contextual simplify-reflections      : 0
% 0.95/2.14  # Paramodulations                      : 4
% 0.95/2.14  # Factorizations                       : 0
% 0.95/2.14  # Equation resolutions                 : 0
% 0.95/2.14  # Current number of processed clauses  : 11
% 0.95/2.14  #    Positive orientable unit clauses  : 6
% 0.95/2.14  #    Positive unorientable unit clauses: 0
% 0.95/2.14  #    Negative unit clauses             : 3
% 0.95/2.14  #    Non-unit-clauses                  : 2
% 0.95/2.14  # Current number of unprocessed clauses: 144
% 0.95/2.14  # ...number of literals in the above   : 352
% 0.95/2.14  # Current number of archived formulas  : 0
% 0.95/2.14  # Current number of archived clauses   : 0
% 0.95/2.14  # Clause-clause subsumption calls (NU) : 0
% 0.95/2.14  # Rec. Clause-clause subsumption calls : 0
% 0.95/2.14  # Non-unit clause-clause subsumptions  : 0
% 0.95/2.14  # Unit Clause-clause subsumption calls : 1
% 0.95/2.14  # Rewrite failures with RHS unbound    : 0
% 0.95/2.14  # BW rewrite match attempts            : 5
% 0.95/2.14  # BW rewrite match successes           : 0
% 0.95/2.14  # Condensation attempts                : 0
% 0.95/2.14  # Condensation successes               : 0
% 0.95/2.14  # Termbank termtop insertions          : 146172
% 0.95/2.14  
% 0.95/2.14  # -------------------------------------------------
% 0.95/2.14  # User time                : 0.242 s
% 0.95/2.14  # System time              : 0.010 s
% 0.95/2.14  # Total time               : 0.252 s
% 0.95/2.14  # Maximum resident set size: 13276 pages
% 0.95/24.13  eprover: CPU time limit exceeded, terminating
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.20  eprover: No such file or directory
%------------------------------------------------------------------------------