TSTP Solution File: SWW364+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW364+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 00:10:39 EDT 2022

% Result   : Theorem 0.95s 2.13s
% Output   : CNFRefutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   25 (  12   ~;   8   |;   3   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   5 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_7,conjecture,
    v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_7) ).

fof(fact_assms_I1_J,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X5),X4))
     => v_P(X4,X5) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_assms_I1_J) ).

fof(fact_insert__subset,axiom,
    ! [X15,X12,X11,X10] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X10),X11),X12)),X15))
    <=> ( hBOOL(hAPP(hAPP(c_member(X10),X11),X15))
        & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool)),X12),X15)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_insert__subset) ).

fof(fact_empty__subsetI,axiom,
    ! [X12,X10] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X10,tc_HOL_Obool))),X12)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_empty__subsetI) ).

fof(conj_6,hypothesis,
    hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_6) ).

fof(c_0_5,negated_conjecture,
    ~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    inference(assume_negation,[status(cth)],[conj_7]) ).

fof(c_0_6,negated_conjecture,
    ~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_7,plain,
    ! [X6,X7] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X7),X6))
      | v_P(X6,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_assms_I1_J])]) ).

cnf(c_0_8,negated_conjecture,
    ~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( v_P(X1,X2)
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X16,X17,X18,X19,X16,X17,X18,X19] :
      ( ( hBOOL(hAPP(hAPP(c_member(X19),X18),X16))
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X19),X18),X17)),X16)) )
      & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool)),X17),X16))
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X19),X18),X17)),X16)) )
      & ( ~ hBOOL(hAPP(hAPP(c_member(X19),X18),X16))
        | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool)),X17),X16))
        | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X19,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X19),X18),X17)),X16)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__subset])])])])]) ).

fof(c_0_11,plain,
    ! [X13,X14] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X14,tc_HOL_Obool))),X13)),
    inference(variable_rename,[status(thm)],[fact_empty__subsetI]) ).

cnf(c_0_12,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),v_G)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),X4))
    | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4))
    | ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,hypothesis,
    hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
    inference(split_conjunct,[status(thm)],[conj_6]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWW364+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sun Jun  5 08:55:03 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.95/2.13  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.95/2.13  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.95/2.13  # Preprocessing time       : 0.246 s
% 0.95/2.13  
% 0.95/2.13  # Proof found!
% 0.95/2.13  # SZS status Theorem
% 0.95/2.13  # SZS output start CNFRefutation
% See solution above
% 0.95/2.13  # Proof object total steps             : 17
% 0.95/2.13  # Proof object clause steps            : 7
% 0.95/2.13  # Proof object formula steps           : 10
% 0.95/2.13  # Proof object conjectures             : 6
% 0.95/2.13  # Proof object clause conjectures      : 3
% 0.95/2.13  # Proof object formula conjectures     : 3
% 0.95/2.13  # Proof object initial clauses used    : 5
% 0.95/2.13  # Proof object initial formulas used   : 5
% 0.95/2.13  # Proof object generating inferences   : 2
% 0.95/2.13  # Proof object simplifying inferences  : 3
% 0.95/2.13  # Training examples: 0 positive, 0 negative
% 0.95/2.13  # Parsed axioms                        : 5231
% 0.95/2.13  # Removed by relevancy pruning/SinE    : 5130
% 0.95/2.13  # Initial clauses                      : 165
% 0.95/2.13  # Removed in clause preprocessing      : 6
% 0.95/2.13  # Initial clauses in saturation        : 159
% 0.95/2.13  # Processed clauses                    : 165
% 0.95/2.13  # ...of these trivial                  : 1
% 0.95/2.13  # ...subsumed                          : 35
% 0.95/2.13  # ...remaining for further processing  : 129
% 0.95/2.13  # Other redundant clauses eliminated   : 6
% 0.95/2.13  # Clauses deleted for lack of memory   : 0
% 0.95/2.13  # Backward-subsumed                    : 0
% 0.95/2.13  # Backward-rewritten                   : 1
% 0.95/2.13  # Generated clauses                    : 954
% 0.95/2.13  # ...of the previous two non-trivial   : 827
% 0.95/2.13  # Contextual simplify-reflections      : 4
% 0.95/2.13  # Paramodulations                      : 944
% 0.95/2.13  # Factorizations                       : 0
% 0.95/2.13  # Equation resolutions                 : 11
% 0.95/2.13  # Current number of processed clauses  : 123
% 0.95/2.13  #    Positive orientable unit clauses  : 22
% 0.95/2.13  #    Positive unorientable unit clauses: 6
% 0.95/2.13  #    Negative unit clauses             : 9
% 0.95/2.13  #    Non-unit-clauses                  : 86
% 0.95/2.13  # Current number of unprocessed clauses: 819
% 0.95/2.13  # ...number of literals in the above   : 2201
% 0.95/2.13  # Current number of archived formulas  : 0
% 0.95/2.13  # Current number of archived clauses   : 1
% 0.95/2.13  # Clause-clause subsumption calls (NU) : 2064
% 0.95/2.13  # Rec. Clause-clause subsumption calls : 1270
% 0.95/2.13  # Non-unit clause-clause subsumptions  : 30
% 0.95/2.13  # Unit Clause-clause subsumption calls : 83
% 0.95/2.13  # Rewrite failures with RHS unbound    : 0
% 0.95/2.13  # BW rewrite match attempts            : 85
% 0.95/2.13  # BW rewrite match successes           : 15
% 0.95/2.13  # Condensation attempts                : 0
% 0.95/2.13  # Condensation successes               : 0
% 0.95/2.13  # Termbank termtop insertions          : 176293
% 0.95/2.13  
% 0.95/2.13  # -------------------------------------------------
% 0.95/2.13  # User time                : 0.261 s
% 0.95/2.13  # System time              : 0.014 s
% 0.95/2.13  # Total time               : 0.275 s
% 0.95/2.13  # Maximum resident set size: 14272 pages
% 0.95/24.12  eprover: CPU time limit exceeded, terminating
% 0.95/24.13  eprover: CPU time limit exceeded, terminating
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 0.95/24.16  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
% 0.95/24.17  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
% 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
% 0.95/24.18  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
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.19  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.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
%------------------------------------------------------------------------------