TSTP Solution File: KLE139+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KLE139+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 01:56:10 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  31 unt;   0 def)
%            Number of atoms       :   31 (  30 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   51 (   1 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).

fof(star_unfold2,axiom,
    ! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).

fof(goals,conjecture,
    ! [X4] : strong_iteration(X4) = addition(multiplication(strong_iteration(X4),X4),one),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).

fof(distributivity2,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).

fof(isolation,axiom,
    ! [X1] : strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',isolation) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).

fof(c_0_8,plain,
    ! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_9,plain,
    ! [X2] : addition(one,multiplication(star(X2),X2)) = star(X2),
    inference(variable_rename,[status(thm)],[star_unfold2]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X4] : strong_iteration(X4) = addition(multiplication(strong_iteration(X4),X4),one),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_11,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    addition(one,multiplication(star(X1),X1)) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,plain,
    ! [X3,X4] : addition(X3,X4) = addition(X4,X3),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_14,plain,
    ! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
    inference(variable_rename,[status(thm)],[distributivity2]) ).

fof(c_0_15,plain,
    ! [X2] : strong_iteration(X2) = addition(star(X2),multiplication(strong_iteration(X2),zero)),
    inference(variable_rename,[status(thm)],[isolation]) ).

fof(c_0_16,plain,
    ! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

fof(c_0_17,plain,
    ! [X2] : multiplication(zero,X2) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_18,negated_conjecture,
    strong_iteration(esk1_0) != addition(multiplication(strong_iteration(esk1_0),esk1_0),one),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

cnf(c_0_19,plain,
    addition(one,addition(multiplication(star(X1),X1),X2)) = addition(star(X1),X2),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_20,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    strong_iteration(esk1_0) != addition(multiplication(strong_iteration(esk1_0),esk1_0),one),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    addition(one,addition(X1,multiplication(star(X2),X2))) = addition(star(X2),X1),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    addition(one,multiplication(strong_iteration(esk1_0),esk1_0)) != strong_iteration(esk1_0),
    inference(rw,[status(thm)],[c_0_25,c_0_20]) ).

cnf(c_0_29,plain,
    addition(one,multiplication(strong_iteration(X1),X1)) = strong_iteration(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE139+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 09:03:17 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.014 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 31
% 0.23/1.42  # Proof object clause steps            : 14
% 0.23/1.42  # Proof object formula steps           : 17
% 0.23/1.42  # Proof object conjectures             : 6
% 0.23/1.42  # Proof object clause conjectures      : 3
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 8
% 0.23/1.42  # Proof object initial formulas used   : 8
% 0.23/1.42  # Proof object generating inferences   : 4
% 0.23/1.42  # Proof object simplifying inferences  : 7
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 19
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 20
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 20
% 0.23/1.42  # Processed clauses                    : 602
% 0.23/1.42  # ...of these trivial                  : 156
% 0.23/1.42  # ...subsumed                          : 165
% 0.23/1.42  # ...remaining for further processing  : 281
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 59
% 0.23/1.42  # Generated clauses                    : 14091
% 0.23/1.42  # ...of the previous two non-trivial   : 12202
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 14091
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 222
% 0.23/1.42  #    Positive orientable unit clauses  : 147
% 0.23/1.42  #    Positive unorientable unit clauses: 33
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 42
% 0.23/1.42  # Current number of unprocessed clauses: 9275
% 0.23/1.42  # ...number of literals in the above   : 13048
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 59
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 206
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 206
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 3
% 0.23/1.42  # Unit Clause-clause subsumption calls : 155
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1025
% 0.23/1.42  # BW rewrite match successes           : 398
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 283320
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.191 s
% 0.23/1.42  # System time              : 0.014 s
% 0.23/1.42  # Total time               : 0.205 s
% 0.23/1.42  # Maximum resident set size: 14956 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: CPU time limit exceeded, terminating
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------