TSTP Solution File: SWV366+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV366+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 18:16:21 EDT 2022

% Result   : Theorem 0.26s 1.45s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :   45 (   5 sgn  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l2_co,conjecture,
    ! [X1] :
      ( ! [X2,X3,X4,X5] : i(triple(X2,X1,X4)) = i(triple(X3,X1,X5))
     => ! [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X1,pair(X10,X11)),X8)) = i(triple(X7,insert_slb(X1,pair(X10,X11)),X9)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l2_co) ).

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/sandbox/benchmark/Axioms/SWV007+4.ax',ax55) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1] :
        ( ! [X2,X3,X4,X5] : i(triple(X2,X1,X4)) = i(triple(X3,X1,X5))
       => ! [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X1,pair(X10,X11)),X8)) = i(triple(X7,insert_slb(X1,pair(X10,X11)),X9)) ),
    inference(assume_negation,[status(cth)],[l2_co]) ).

fof(c_0_3,negated_conjecture,
    ! [X13,X14,X15,X16] :
      ( i(triple(X13,esk1_0,X15)) = i(triple(X14,esk1_0,X16))
      & i(triple(esk2_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0)) != i(triple(esk3_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk5_0)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).

fof(c_0_4,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]) ).

cnf(c_0_5,negated_conjecture,
    i(triple(esk2_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk4_0)) != i(triple(esk3_0,insert_slb(esk1_0,pair(esk6_0,esk7_0)),esk5_0)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,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_4]) ).

cnf(c_0_7,negated_conjecture,
    i(triple(X1,esk1_0,X2)) = i(triple(X3,esk1_0,X4)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV366+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14  % Command  : run_ET %s %d
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 05:47:50 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.26/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.45  # Preprocessing time       : 0.017 s
% 0.26/1.45  
% 0.26/1.45  # Proof found!
% 0.26/1.45  # SZS status Theorem
% 0.26/1.45  # SZS output start CNFRefutation
% See solution above
% 0.26/1.45  # Proof object total steps             : 9
% 0.26/1.45  # Proof object clause steps            : 4
% 0.26/1.45  # Proof object formula steps           : 5
% 0.26/1.45  # Proof object conjectures             : 6
% 0.26/1.45  # Proof object clause conjectures      : 3
% 0.26/1.45  # Proof object formula conjectures     : 3
% 0.26/1.45  # Proof object initial clauses used    : 3
% 0.26/1.45  # Proof object initial formulas used   : 2
% 0.26/1.45  # Proof object generating inferences   : 0
% 0.26/1.45  # Proof object simplifying inferences  : 3
% 0.26/1.45  # Training examples: 0 positive, 0 negative
% 0.26/1.45  # Parsed axioms                        : 63
% 0.26/1.45  # Removed by relevancy pruning/SinE    : 57
% 0.26/1.45  # Initial clauses                      : 11
% 0.26/1.45  # Removed in clause preprocessing      : 0
% 0.26/1.45  # Initial clauses in saturation        : 11
% 0.26/1.45  # Processed clauses                    : 7
% 0.26/1.45  # ...of these trivial                  : 0
% 0.26/1.45  # ...subsumed                          : 0
% 0.26/1.45  # ...remaining for further processing  : 7
% 0.26/1.45  # Other redundant clauses eliminated   : 1
% 0.26/1.45  # Clauses deleted for lack of memory   : 0
% 0.26/1.45  # Backward-subsumed                    : 0
% 0.26/1.45  # Backward-rewritten                   : 1
% 0.26/1.45  # Generated clauses                    : 11
% 0.26/1.45  # ...of the previous two non-trivial   : 11
% 0.26/1.45  # Contextual simplify-reflections      : 0
% 0.26/1.45  # Paramodulations                      : 10
% 0.26/1.45  # Factorizations                       : 0
% 0.26/1.45  # Equation resolutions                 : 1
% 0.26/1.45  # Current number of processed clauses  : 5
% 0.26/1.45  #    Positive orientable unit clauses  : 1
% 0.26/1.45  #    Positive unorientable unit clauses: 2
% 0.26/1.45  #    Negative unit clauses             : 1
% 0.26/1.45  #    Non-unit-clauses                  : 1
% 0.26/1.45  # Current number of unprocessed clauses: 15
% 0.26/1.45  # ...number of literals in the above   : 23
% 0.26/1.45  # Current number of archived formulas  : 0
% 0.26/1.45  # Current number of archived clauses   : 1
% 0.26/1.45  # Clause-clause subsumption calls (NU) : 0
% 0.26/1.45  # Rec. Clause-clause subsumption calls : 0
% 0.26/1.45  # Non-unit clause-clause subsumptions  : 0
% 0.26/1.45  # Unit Clause-clause subsumption calls : 0
% 0.26/1.45  # Rewrite failures with RHS unbound    : 4
% 0.26/1.45  # BW rewrite match attempts            : 2
% 0.26/1.45  # BW rewrite match successes           : 2
% 0.26/1.45  # Condensation attempts                : 0
% 0.26/1.45  # Condensation successes               : 0
% 0.26/1.45  # Termbank termtop insertions          : 1401
% 0.26/1.45  
% 0.26/1.45  # -------------------------------------------------
% 0.26/1.45  # User time                : 0.015 s
% 0.26/1.45  # System time              : 0.002 s
% 0.26/1.45  # Total time               : 0.017 s
% 0.26/1.45  # Maximum resident set size: 2836 pages
%------------------------------------------------------------------------------