TSTP Solution File: SWW312+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW312+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 00:10:32 EDT 2022

% Result   : Theorem 0.90s 2.08s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_5,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_5) ).

fof(fact_hoare__derivs_Oinsert,axiom,
    ! [X7,X10,X4,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X10),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X10),X7)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_hoare__derivs_Oinsert) ).

fof(conj_3,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).

fof(conj_4,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).

fof(c_0_4,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
    inference(assume_negation,[status(cth)],[conj_5]) ).

fof(c_0_5,plain,
    ! [X11,X12,X13,X14] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X14,X13,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X14)),X12),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X14),tc_HOL_Obool))))
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X14,X13,X11)
      | c_Hoare__Mirabelle_Ohoare__derivs(X14,X13,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X14)),X12),X11)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_hoare__derivs_Oinsert])]) ).

fof(c_0_6,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,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)],[conj_3]) ).

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

cnf(c_0_10,hypothesis,
    ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X1))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(split_conjunct,[status(thm)],[conj_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWW312+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n019.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
% 0.13/0.33  % DateTime : Sun Jun  5 11:20:25 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.90/2.08  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.90/2.08  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.90/2.08  # Preprocessing time       : 0.147 s
% 0.90/2.08  
% 0.90/2.08  # Proof found!
% 0.90/2.08  # SZS status Theorem
% 0.90/2.08  # SZS output start CNFRefutation
% See solution above
% 0.90/2.08  # Proof object total steps             : 13
% 0.90/2.08  # Proof object clause steps            : 6
% 0.90/2.08  # Proof object formula steps           : 7
% 0.90/2.08  # Proof object conjectures             : 5
% 0.90/2.08  # Proof object clause conjectures      : 2
% 0.90/2.08  # Proof object formula conjectures     : 3
% 0.90/2.08  # Proof object initial clauses used    : 4
% 0.90/2.08  # Proof object initial formulas used   : 4
% 0.90/2.08  # Proof object generating inferences   : 2
% 0.90/2.08  # Proof object simplifying inferences  : 2
% 0.90/2.08  # Training examples: 0 positive, 0 negative
% 0.90/2.08  # Parsed axioms                        : 5245
% 0.90/2.08  # Removed by relevancy pruning/SinE    : 5144
% 0.90/2.08  # Initial clauses                      : 161
% 0.90/2.08  # Removed in clause preprocessing      : 6
% 0.90/2.08  # Initial clauses in saturation        : 155
% 0.90/2.08  # Processed clauses                    : 163
% 0.90/2.08  # ...of these trivial                  : 2
% 0.90/2.08  # ...subsumed                          : 37
% 0.90/2.08  # ...remaining for further processing  : 124
% 0.90/2.08  # Other redundant clauses eliminated   : 14
% 0.90/2.08  # Clauses deleted for lack of memory   : 0
% 0.90/2.08  # Backward-subsumed                    : 0
% 0.90/2.08  # Backward-rewritten                   : 0
% 0.90/2.08  # Generated clauses                    : 714
% 0.90/2.08  # ...of the previous two non-trivial   : 594
% 0.90/2.08  # Contextual simplify-reflections      : 8
% 0.90/2.08  # Paramodulations                      : 696
% 0.90/2.08  # Factorizations                       : 0
% 0.90/2.08  # Equation resolutions                 : 19
% 0.90/2.08  # Current number of processed clauses  : 111
% 0.90/2.08  #    Positive orientable unit clauses  : 25
% 0.90/2.08  #    Positive unorientable unit clauses: 3
% 0.90/2.08  #    Negative unit clauses             : 6
% 0.90/2.08  #    Non-unit-clauses                  : 77
% 0.90/2.08  # Current number of unprocessed clauses: 586
% 0.90/2.08  # ...number of literals in the above   : 1702
% 0.90/2.08  # Current number of archived formulas  : 0
% 0.90/2.08  # Current number of archived clauses   : 0
% 0.90/2.08  # Clause-clause subsumption calls (NU) : 1786
% 0.90/2.08  # Rec. Clause-clause subsumption calls : 1270
% 0.90/2.08  # Non-unit clause-clause subsumptions  : 39
% 0.90/2.08  # Unit Clause-clause subsumption calls : 90
% 0.90/2.08  # Rewrite failures with RHS unbound    : 0
% 0.90/2.08  # BW rewrite match attempts            : 75
% 0.90/2.08  # BW rewrite match successes           : 10
% 0.90/2.08  # Condensation attempts                : 0
% 0.90/2.08  # Condensation successes               : 0
% 0.90/2.08  # Termbank termtop insertions          : 167467
% 0.90/2.08  
% 0.90/2.08  # -------------------------------------------------
% 0.90/2.08  # User time                : 0.159 s
% 0.90/2.08  # System time              : 0.006 s
% 0.90/2.08  # Total time               : 0.165 s
% 0.90/2.08  # Maximum resident set size: 13784 pages
% 0.90/24.08  eprover: CPU time limit exceeded, terminating
% 0.90/24.09  eprover: CPU time limit exceeded, terminating
% 0.90/24.10  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.10  eprover: eprover: No such file or directory
% 0.90/24.10  Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.13  eprover: No such file or directory
% 0.90/24.13  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.13  eprover: No such file or directory
% 0.90/24.13  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.90/24.13  eprover: No such file or directory
% 0.90/24.13  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.13  eprover: No such file or directory
% 0.90/24.13  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.14  eprover: No such file or directory
% 0.90/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.15  eprover: No such file or directory
% 0.90/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.15  eprover: No such file or directory
% 0.90/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.16  eprover: No such file or directory
% 0.90/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.90/24.16  eprover: No such file or directory
%------------------------------------------------------------------------------