TSTP Solution File: SWV415+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV415+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n005.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 : Wed Jul 20 18:16:31 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   56 (   9 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co2,conjecture,
    ! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co2) ).

fof(main2_l12,lemma,
    ! [X1,X2,X3,X4,X5] : i(triple(X1,X3,X4)) = i(triple(X2,X3,X5)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main2_l12) ).

fof(ax42,axiom,
    ! [X1,X2,X3,X4] : insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax42) ).

fof(ax55,axiom,
    ! [X1,X2,X3,X4,X5] : i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)) = insert_pq(i(triple(X1,X2,X3)),X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax55) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
    inference(assume_negation,[status(cth)],[co2]) ).

fof(c_0_5,lemma,
    ! [X6,X7,X8,X9,X10] : i(triple(X6,X8,X9)) = i(triple(X7,X8,X10)),
    inference(variable_rename,[status(thm)],[main2_l12]) ).

fof(c_0_6,plain,
    ! [X5,X6,X7,X8] : insert_cpq(triple(X5,X6,X7),X8) = triple(insert_pqp(X5,X8),insert_slb(X6,pair(X8,bottom)),X7),
    inference(variable_rename,[status(thm)],[ax42]) ).

fof(c_0_7,plain,
    ! [X6,X7,X8,X9,X10] : i(triple(X6,insert_slb(X7,pair(X9,X10)),X8)) = insert_pq(i(triple(X6,X7,X8)),X9),
    inference(variable_rename,[status(thm)],[ax55]) ).

fof(c_0_8,negated_conjecture,
    i(insert_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)) != insert_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_9,lemma,
    i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = insert_pq(i(triple(X1,X2,X5)),X3),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    i(insert_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)) != insert_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,lemma,
    i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X5,X2,X6)),X4),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_12,c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV415+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n005.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 : Wed Jun 15 22:02:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.019 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 15
% 0.23/1.41  # Proof object clause steps            : 6
% 0.23/1.41  # Proof object formula steps           : 9
% 0.23/1.41  # Proof object conjectures             : 5
% 0.23/1.41  # Proof object clause conjectures      : 2
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 4
% 0.23/1.41  # Proof object initial formulas used   : 4
% 0.23/1.41  # Proof object generating inferences   : 1
% 0.23/1.41  # Proof object simplifying inferences  : 2
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 64
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 88
% 0.23/1.41  # Removed in clause preprocessing      : 2
% 0.23/1.41  # Initial clauses in saturation        : 86
% 0.23/1.41  # Processed clauses                    : 135
% 0.23/1.41  # ...of these trivial                  : 6
% 0.23/1.41  # ...subsumed                          : 22
% 0.23/1.41  # ...remaining for further processing  : 107
% 0.23/1.41  # Other redundant clauses eliminated   : 4
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 422
% 0.23/1.41  # ...of the previous two non-trivial   : 340
% 0.23/1.41  # Contextual simplify-reflections      : 2
% 0.23/1.41  # Paramodulations                      : 413
% 0.23/1.41  # Factorizations                       : 2
% 0.23/1.41  # Equation resolutions                 : 4
% 0.23/1.41  # Current number of processed clauses  : 102
% 0.23/1.41  #    Positive orientable unit clauses  : 21
% 0.23/1.41  #    Positive unorientable unit clauses: 7
% 0.23/1.41  #    Negative unit clauses             : 14
% 0.23/1.41  #    Non-unit-clauses                  : 60
% 0.23/1.41  # Current number of unprocessed clauses: 291
% 0.23/1.41  # ...number of literals in the above   : 666
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 3
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 675
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 553
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 2
% 0.23/1.41  # Unit Clause-clause subsumption calls : 113
% 0.23/1.41  # Rewrite failures with RHS unbound    : 36
% 0.23/1.41  # BW rewrite match attempts            : 14
% 0.23/1.41  # BW rewrite match successes           : 11
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 9928
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.024 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.028 s
% 0.23/1.41  # Maximum resident set size: 3648 pages
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------