TSTP Solution File: SWW318+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 00:10:33 EDT 2022

% Result   : Theorem 0.93s 2.12s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  11 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   31 (   1 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),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_1) ).

fof(fact_cut,axiom,
    ! [X4,X13,X14,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X14,X13)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X14)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_cut) ).

fof(conj_0,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),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,X13,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X13),X4))
     => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_asm) ).

fof(fact_subset__insertI,axiom,
    ! [X6,X113,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X113),hAPP(hAPP(c_Set_Oinsert(X5),X6),X113))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subset__insertI) ).

fof(c_0_5,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_6,plain,
    ! [X15,X16,X17,X18] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X17,X16)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X15,X17)
      | c_Hoare__Mirabelle_Ohoare__derivs(X18,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])]) ).

fof(c_0_7,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

cnf(c_0_10,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,v_G) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

fof(c_0_12,plain,
    ! [X14,X15,X16] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X16),tc_HOL_Obool)),X15),X14))
      | c_Hoare__Mirabelle_Ohoare__derivs(X16,X14,X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).

fof(c_0_13,plain,
    ! [X114,X115,X116] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X116,tc_HOL_Obool)),X115),hAPP(hAPP(c_Set_Oinsert(X116),X114),X115))),
    inference(variable_rename,[status(thm)],[fact_subset__insertI]) ).

cnf(c_0_14,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),v_G),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,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_12]) ).

cnf(c_0_16,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.13  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 18:45:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.93/2.12  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.93/2.12  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.93/2.12  # Preprocessing time       : 0.251 s
% 0.93/2.12  
% 0.93/2.12  # Proof found!
% 0.93/2.12  # SZS status Theorem
% 0.93/2.12  # SZS output start CNFRefutation
% See solution above
% 0.93/2.12  # Proof object total steps             : 18
% 0.93/2.12  # Proof object clause steps            : 8
% 0.93/2.12  # Proof object formula steps           : 10
% 0.93/2.12  # Proof object conjectures             : 6
% 0.93/2.12  # Proof object clause conjectures      : 3
% 0.93/2.12  # Proof object formula conjectures     : 3
% 0.93/2.12  # Proof object initial clauses used    : 5
% 0.93/2.12  # Proof object initial formulas used   : 5
% 0.93/2.12  # Proof object generating inferences   : 3
% 0.93/2.12  # Proof object simplifying inferences  : 2
% 0.93/2.12  # Training examples: 0 positive, 0 negative
% 0.93/2.12  # Parsed axioms                        : 5226
% 0.93/2.12  # Removed by relevancy pruning/SinE    : 5125
% 0.93/2.12  # Initial clauses                      : 160
% 0.93/2.12  # Removed in clause preprocessing      : 7
% 0.93/2.12  # Initial clauses in saturation        : 153
% 0.93/2.12  # Processed clauses                    : 161
% 0.93/2.12  # ...of these trivial                  : 3
% 0.93/2.12  # ...subsumed                          : 32
% 0.93/2.12  # ...remaining for further processing  : 126
% 0.93/2.12  # Other redundant clauses eliminated   : 6
% 0.93/2.12  # Clauses deleted for lack of memory   : 0
% 0.93/2.12  # Backward-subsumed                    : 0
% 0.93/2.12  # Backward-rewritten                   : 1
% 0.93/2.12  # Generated clauses                    : 693
% 0.93/2.12  # ...of the previous two non-trivial   : 602
% 0.93/2.12  # Contextual simplify-reflections      : 3
% 0.93/2.12  # Paramodulations                      : 680
% 0.93/2.12  # Factorizations                       : 0
% 0.93/2.12  # Equation resolutions                 : 14
% 0.93/2.12  # Current number of processed clauses  : 120
% 0.93/2.12  #    Positive orientable unit clauses  : 26
% 0.93/2.12  #    Positive unorientable unit clauses: 3
% 0.93/2.12  #    Negative unit clauses             : 9
% 0.93/2.12  #    Non-unit-clauses                  : 82
% 0.93/2.12  # Current number of unprocessed clauses: 592
% 0.93/2.12  # ...number of literals in the above   : 1775
% 0.93/2.12  # Current number of archived formulas  : 0
% 0.93/2.12  # Current number of archived clauses   : 1
% 0.93/2.12  # Clause-clause subsumption calls (NU) : 1714
% 0.93/2.12  # Rec. Clause-clause subsumption calls : 1177
% 0.93/2.12  # Non-unit clause-clause subsumptions  : 27
% 0.93/2.12  # Unit Clause-clause subsumption calls : 18
% 0.93/2.12  # Rewrite failures with RHS unbound    : 0
% 0.93/2.12  # BW rewrite match attempts            : 31
% 0.93/2.12  # BW rewrite match successes           : 10
% 0.93/2.12  # Condensation attempts                : 0
% 0.93/2.12  # Condensation successes               : 0
% 0.93/2.12  # Termbank termtop insertions          : 171963
% 0.93/2.12  
% 0.93/2.12  # -------------------------------------------------
% 0.93/2.12  # User time                : 0.269 s
% 0.93/2.12  # System time              : 0.012 s
% 0.93/2.12  # Total time               : 0.281 s
% 0.93/2.12  # Maximum resident set size: 14016 pages
% 0.93/24.11  eprover: CPU time limit exceeded, terminating
% 0.93/24.12  eprover: CPU time limit exceeded, terminating
% 0.93/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13  eprover: No such file or directory
% 0.93/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13  eprover: No such file or directory
% 0.93/24.13  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13  eprover: No such file or directory
% 0.93/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14  eprover: No such file or directory
% 0.93/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14  eprover: No such file or directory
% 0.93/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14  eprover: No such file or directory
% 0.93/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14  eprover: No such file or directory
% 0.93/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15  eprover: No such file or directory
% 0.93/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15  eprover: No such file or directory
% 0.93/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15  eprover: No such file or directory
% 0.93/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15  eprover: No such file or directory
% 0.93/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16  eprover: No such file or directory
% 0.93/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16  eprover: No such file or directory
% 0.93/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16  eprover: No such file or directory
% 0.93/24.16  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16  eprover: No such file or directory
% 0.93/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17  eprover: No such file or directory
% 0.93/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.17  eprover: No such file or directory
% 0.93/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.17  eprover: No such file or directory
% 0.93/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18  eprover: No such file or directory
% 0.93/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.18  eprover: No such file or directory
% 0.93/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18  eprover: No such file or directory
% 0.93/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.19  eprover: No such file or directory
%------------------------------------------------------------------------------