TSTP Solution File: KLE056+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KLE056+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 : Sun Jul 17 01:55:38 EDT 2022

% Result   : Theorem 0.21s 1.41s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   1 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4] :
      ( domain(X4) = zero
     => X4 = zero ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).

fof(domain1,axiom,
    ! [X4] : addition(X4,multiplication(domain(X4),X4)) = multiplication(domain(X4),X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X4] :
        ( domain(X4) = zero
       => X4 = zero ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_5,plain,
    ! [X5] : addition(X5,multiplication(domain(X5),X5)) = multiplication(domain(X5),X5),
    inference(variable_rename,[status(thm)],[domain1]) ).

fof(c_0_6,negated_conjecture,
    ( domain(esk1_0) = zero
    & esk1_0 != zero ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ! [X2] : multiplication(zero,X2) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_8,plain,
    ! [X2] : addition(X2,zero) = X2,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_9,plain,
    addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    domain(esk1_0) = zero,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    esk1_0 != zero,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_11]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : KLE056+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 14:01:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.41  # Preprocessing time       : 0.014 s
% 0.21/1.41  
% 0.21/1.41  # Proof found!
% 0.21/1.41  # SZS status Theorem
% 0.21/1.41  # SZS output start CNFRefutation
% See solution above
% 0.21/1.41  # Proof object total steps             : 15
% 0.21/1.41  # Proof object clause steps            : 6
% 0.21/1.41  # Proof object formula steps           : 9
% 0.21/1.41  # Proof object conjectures             : 6
% 0.21/1.41  # Proof object clause conjectures      : 3
% 0.21/1.41  # Proof object formula conjectures     : 3
% 0.21/1.41  # Proof object initial clauses used    : 5
% 0.21/1.41  # Proof object initial formulas used   : 4
% 0.21/1.41  # Proof object generating inferences   : 1
% 0.21/1.41  # Proof object simplifying inferences  : 4
% 0.21/1.41  # Training examples: 0 positive, 0 negative
% 0.21/1.41  # Parsed axioms                        : 18
% 0.21/1.41  # Removed by relevancy pruning/SinE    : 4
% 0.21/1.41  # Initial clauses                      : 15
% 0.21/1.41  # Removed in clause preprocessing      : 0
% 0.21/1.41  # Initial clauses in saturation        : 15
% 0.21/1.41  # Processed clauses                    : 10
% 0.21/1.41  # ...of these trivial                  : 0
% 0.21/1.41  # ...subsumed                          : 0
% 0.21/1.41  # ...remaining for further processing  : 10
% 0.21/1.41  # Other redundant clauses eliminated   : 0
% 0.21/1.41  # Clauses deleted for lack of memory   : 0
% 0.21/1.41  # Backward-subsumed                    : 0
% 0.21/1.41  # Backward-rewritten                   : 0
% 0.21/1.41  # Generated clauses                    : 12
% 0.21/1.41  # ...of the previous two non-trivial   : 4
% 0.21/1.41  # Contextual simplify-reflections      : 0
% 0.21/1.41  # Paramodulations                      : 12
% 0.21/1.41  # Factorizations                       : 0
% 0.21/1.41  # Equation resolutions                 : 0
% 0.21/1.41  # Current number of processed clauses  : 10
% 0.21/1.41  #    Positive orientable unit clauses  : 9
% 0.21/1.41  #    Positive unorientable unit clauses: 0
% 0.21/1.41  #    Negative unit clauses             : 1
% 0.21/1.41  #    Non-unit-clauses                  : 0
% 0.21/1.41  # Current number of unprocessed clauses: 9
% 0.21/1.41  # ...number of literals in the above   : 9
% 0.21/1.41  # Current number of archived formulas  : 0
% 0.21/1.41  # Current number of archived clauses   : 0
% 0.21/1.41  # Clause-clause subsumption calls (NU) : 0
% 0.21/1.41  # Rec. Clause-clause subsumption calls : 0
% 0.21/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.21/1.41  # Unit Clause-clause subsumption calls : 0
% 0.21/1.41  # Rewrite failures with RHS unbound    : 0
% 0.21/1.41  # BW rewrite match attempts            : 0
% 0.21/1.41  # BW rewrite match successes           : 0
% 0.21/1.41  # Condensation attempts                : 0
% 0.21/1.41  # Condensation successes               : 0
% 0.21/1.41  # Termbank termtop insertions          : 669
% 0.21/1.41  
% 0.21/1.41  # -------------------------------------------------
% 0.21/1.41  # User time                : 0.013 s
% 0.21/1.41  # System time              : 0.002 s
% 0.21/1.41  # Total time               : 0.015 s
% 0.21/1.41  # Maximum resident set size: 2812 pages
%------------------------------------------------------------------------------