TSTP Solution File: KLE086+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KLE086+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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 01:55:47 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    domain(zero) = zero,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).

fof(domain3,axiom,
    ! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

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

fof(domain1,axiom,
    ! [X4] : multiplication(antidomain(X4),X4) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).

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

fof(domain4,axiom,
    ! [X4] : domain(X4) = antidomain(antidomain(X4)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).

fof(c_0_7,negated_conjecture,
    domain(zero) != zero,
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_8,plain,
    ! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
    inference(variable_rename,[status(thm)],[domain3]) ).

fof(c_0_9,plain,
    ! [X3,X4] : addition(X3,X4) = addition(X4,X3),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_10,plain,
    ! [X2] : multiplication(X2,one) = X2,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

fof(c_0_11,plain,
    ! [X5] : multiplication(antidomain(X5),X5) = zero,
    inference(variable_rename,[status(thm)],[domain1]) ).

fof(c_0_12,plain,
    ! [X2] : addition(X2,zero) = X2,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_13,negated_conjecture,
    domain(zero) != zero,
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_14,plain,
    ! [X5] : domain(X5) = antidomain(antidomain(X5)),
    inference(variable_rename,[status(thm)],[domain4]) ).

cnf(c_0_15,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    multiplication(antidomain(X1),X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    domain(zero) != zero,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    domain(X1) = antidomain(antidomain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_19,c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    antidomain(antidomain(zero)) != zero,
    inference(rw,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE086+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 07:54:42 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.014 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 28
% 0.25/1.43  # Proof object clause steps            : 13
% 0.25/1.43  # Proof object formula steps           : 15
% 0.25/1.43  # Proof object conjectures             : 6
% 0.25/1.43  # Proof object clause conjectures      : 3
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 7
% 0.25/1.43  # Proof object initial formulas used   : 7
% 0.25/1.43  # Proof object generating inferences   : 3
% 0.25/1.43  # Proof object simplifying inferences  : 6
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 21
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 2
% 0.25/1.43  # Initial clauses                      : 19
% 0.25/1.43  # Removed in clause preprocessing      : 1
% 0.25/1.43  # Initial clauses in saturation        : 18
% 0.25/1.43  # Processed clauses                    : 24
% 0.25/1.43  # ...of these trivial                  : 1
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 23
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 3
% 0.25/1.43  # Generated clauses                    : 98
% 0.25/1.43  # ...of the previous two non-trivial   : 62
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 98
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 20
% 0.25/1.43  #    Positive orientable unit clauses  : 19
% 0.25/1.43  #    Positive unorientable unit clauses: 1
% 0.25/1.43  #    Negative unit clauses             : 0
% 0.25/1.43  #    Non-unit-clauses                  : 0
% 0.25/1.43  # Current number of unprocessed clauses: 56
% 0.25/1.43  # ...number of literals in the above   : 56
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 4
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.43  # Unit Clause-clause subsumption calls : 0
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 10
% 0.25/1.43  # BW rewrite match successes           : 9
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 1626
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.014 s
% 0.25/1.43  # System time              : 0.002 s
% 0.25/1.43  # Total time               : 0.016 s
% 0.25/1.43  # Maximum resident set size: 2812 pages
% 0.27/23.43  eprover: CPU time limit exceeded, terminating
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------