TSTP Solution File: CSR077+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR077+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 : Fri Jul 15 03:02:16 EDT 2022

% Result   : Theorem 1.77s 7.95s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   85 (  33 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :  104 (  40   ~;  46   |;  13   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (   7 usr;   7 con; 0-2 aty)
%            Number of variables   :   15 (   3 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
    ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_from_SUMO) ).

fof(kb_SUMO_3259,axiom,
    ! [X52,X53] :
      ( ( s__AbsoluteValueFn(X53) = X52
        & s__instance(X53,s__RealNumber)
        & s__instance(X52,s__RealNumber) )
    <=> ( ( s__instance(X53,s__NonnegativeRealNumber)
          & X53 = X52 )
        | ( s__instance(X53,s__NegativeRealNumber)
          & X52 = minus("0",X53) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3259) ).

fof(kb_SUMO_3424,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NegativeRealNumber)
       => s__SignumFn(X12) = "-1" ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3424) ).

fof(kb_SUMO_3422,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NonnegativeRealNumber)
       => ( s__SignumFn(X12) = "1"
          | s__SignumFn(X12) = "0" ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3422) ).

fof(local_1,axiom,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',local_1) ).

fof(c_0_5,negated_conjecture,
    ~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

fof(c_0_6,plain,
    ! [X54,X55,X54,X55] :
      ( ( s__instance(X55,s__NegativeRealNumber)
        | s__instance(X55,s__NonnegativeRealNumber)
        | s__AbsoluteValueFn(X55) != X54
        | ~ s__instance(X55,s__RealNumber)
        | ~ s__instance(X54,s__RealNumber) )
      & ( X54 = minus("0",X55)
        | s__instance(X55,s__NonnegativeRealNumber)
        | s__AbsoluteValueFn(X55) != X54
        | ~ s__instance(X55,s__RealNumber)
        | ~ s__instance(X54,s__RealNumber) )
      & ( s__instance(X55,s__NegativeRealNumber)
        | X55 = X54
        | s__AbsoluteValueFn(X55) != X54
        | ~ s__instance(X55,s__RealNumber)
        | ~ s__instance(X54,s__RealNumber) )
      & ( X54 = minus("0",X55)
        | X55 = X54
        | s__AbsoluteValueFn(X55) != X54
        | ~ s__instance(X55,s__RealNumber)
        | ~ s__instance(X54,s__RealNumber) )
      & ( s__AbsoluteValueFn(X55) = X54
        | ~ s__instance(X55,s__NonnegativeRealNumber)
        | X55 != X54 )
      & ( s__instance(X55,s__RealNumber)
        | ~ s__instance(X55,s__NonnegativeRealNumber)
        | X55 != X54 )
      & ( s__instance(X54,s__RealNumber)
        | ~ s__instance(X55,s__NonnegativeRealNumber)
        | X55 != X54 )
      & ( s__AbsoluteValueFn(X55) = X54
        | ~ s__instance(X55,s__NegativeRealNumber)
        | X54 != minus("0",X55) )
      & ( s__instance(X55,s__RealNumber)
        | ~ s__instance(X55,s__NegativeRealNumber)
        | X54 != minus("0",X55) )
      & ( s__instance(X54,s__RealNumber)
        | ~ s__instance(X55,s__NegativeRealNumber)
        | X54 != minus("0",X55) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3259])])])])]) ).

fof(c_0_7,plain,
    ! [X13] :
      ( ~ s__instance(X13,s__RealNumber)
      | ~ s__instance(X13,s__NegativeRealNumber)
      | s__SignumFn(X13) = "-1" ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3424])]) ).

fof(c_0_8,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( s__instance(X2,s__RealNumber)
    | X1 != minus("0",X2)
    | ~ s__instance(X2,s__NegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ! [X13] :
      ( ~ s__instance(X13,s__RealNumber)
      | ~ s__instance(X13,s__NonnegativeRealNumber)
      | s__SignumFn(X13) = "1"
      | s__SignumFn(X13) = "0" ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3422])]) ).

cnf(c_0_11,plain,
    ( s__SignumFn(X1) = "-1"
    | ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( s__SignumFn(X1) = "0"
    | s__SignumFn(X1) = "1"
    | ~ s__instance(X1,s__NonnegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_16,negated_conjecture,
    ( s__SignumFn(s__Number3_1) = "-1"
    | ~ s__instance(s__Number3_1,s__RealNumber) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    s__instance(s__Number3_1,s__RealNumber),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_18,plain,
    ( s__SignumFn(s__Number3_1) = "1"
    | s__SignumFn(s__Number3_1) = "0"
    | ~ s__instance(s__Number3_1,s__RealNumber) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    s__SignumFn(s__Number3_1) = "-1",
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_20,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17])]),c_0_19]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : CSR077+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun  9 23:29:34 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.77/7.95  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.77/7.95  # Preprocessing time       : 0.541 s
% 1.77/7.95  
% 1.77/7.95  # Proof found!
% 1.77/7.95  # SZS status Theorem
% 1.77/7.95  # SZS output start CNFRefutation
% See solution above
% 1.77/7.95  # Proof object total steps             : 21
% 1.77/7.95  # Proof object clause steps            : 11
% 1.77/7.95  # Proof object formula steps           : 10
% 1.77/7.95  # Proof object conjectures             : 7
% 1.77/7.95  # Proof object clause conjectures      : 4
% 1.77/7.95  # Proof object formula conjectures     : 3
% 1.77/7.95  # Proof object initial clauses used    : 5
% 1.77/7.95  # Proof object initial formulas used   : 5
% 1.77/7.95  # Proof object generating inferences   : 4
% 1.77/7.95  # Proof object simplifying inferences  : 7
% 1.77/7.95  # Training examples: 0 positive, 0 negative
% 1.77/7.95  # Parsed axioms                        : 14789
% 1.77/7.95  # Removed by relevancy pruning/SinE    : 0
% 1.77/7.95  # Initial clauses                      : 15980
% 1.77/7.95  # Removed in clause preprocessing      : 63
% 1.77/7.95  # Initial clauses in saturation        : 15917
% 1.77/7.95  # Processed clauses                    : 28031
% 1.77/7.95  # ...of these trivial                  : 9059
% 1.77/7.95  # ...subsumed                          : 152
% 1.77/7.95  # ...remaining for further processing  : 18819
% 1.77/7.95  # Other redundant clauses eliminated   : 306
% 1.77/7.95  # Clauses deleted for lack of memory   : 62244
% 1.77/7.95  # Backward-subsumed                    : 5
% 1.77/7.95  # Backward-rewritten                   : 311
% 1.77/7.95  # Generated clauses                    : 185234
% 1.77/7.95  # ...of the previous two non-trivial   : 180584
% 1.77/7.95  # Contextual simplify-reflections      : 1069
% 1.77/7.95  # Paramodulations                      : 184809
% 1.77/7.95  # Factorizations                       : 2
% 1.77/7.95  # Equation resolutions                 : 397
% 1.77/7.95  # Current number of processed clauses  : 18486
% 1.77/7.95  #    Positive orientable unit clauses  : 12214
% 1.77/7.95  #    Positive unorientable unit clauses: 0
% 1.77/7.95  #    Negative unit clauses             : 1
% 1.77/7.95  #    Non-unit-clauses                  : 6271
% 1.77/7.95  # Current number of unprocessed clauses: 82269
% 1.77/7.95  # ...number of literals in the above   : 276515
% 1.77/7.95  # Current number of archived formulas  : 0
% 1.77/7.95  # Current number of archived clauses   : 316
% 1.77/7.95  # Clause-clause subsumption calls (NU) : 7020280
% 1.77/7.95  # Rec. Clause-clause subsumption calls : 4531017
% 1.77/7.95  # Non-unit clause-clause subsumptions  : 1231
% 1.77/7.95  # Unit Clause-clause subsumption calls : 4575934
% 1.77/7.95  # Rewrite failures with RHS unbound    : 0
% 1.77/7.95  # BW rewrite match attempts            : 26
% 1.77/7.95  # BW rewrite match successes           : 25
% 1.77/7.95  # Condensation attempts                : 0
% 1.77/7.95  # Condensation successes               : 0
% 1.77/7.95  # Termbank termtop insertions          : 2878407
% 1.77/7.95  
% 1.77/7.95  # -------------------------------------------------
% 1.77/7.95  # User time                : 5.065 s
% 1.77/7.95  # System time              : 0.132 s
% 1.77/7.95  # Total time               : 5.197 s
% 1.77/7.95  # Maximum resident set size: 204960 pages
% 1.77/22.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.55  eprover: No such file or directory
% 1.77/22.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.56  eprover: No such file or directory
% 1.77/22.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.57  eprover: No such file or directory
% 1.77/22.57  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.57  eprover: No such file or directory
% 1.77/22.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.58  eprover: No such file or directory
% 1.77/22.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.59  eprover: No such file or directory
% 1.77/22.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.59  eprover: No such file or directory
% 1.77/22.60  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.60  eprover: No such file or directory
% 1.77/22.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/22.61  eprover: No such file or directory
% 1.77/24.92  eprover: CPU time limit exceeded, terminating
% 1.77/24.94  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.94  eprover: No such file or directory
% 1.77/24.94  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.94  eprover: No such file or directory
% 1.77/24.95  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.95  eprover: No such file or directory
% 1.77/24.95  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.95  eprover: No such file or directory
% 1.77/24.96  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.96  eprover: No such file or directory
% 1.77/24.96  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.96  eprover: No such file or directory
% 1.77/24.96  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.96  eprover: No such file or directory
% 1.77/24.97  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.97  eprover: No such file or directory
% 1.77/24.97  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.97  eprover: No such file or directory
% 1.77/24.98  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.98  eprover: No such file or directory
% 1.77/24.98  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.77/24.98  eprover: No such file or directory
% 1.77/25.16  eprover: CPU time limit exceeded, terminating
% 1.77/25.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.18  eprover: No such file or directory
% 1.77/25.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.19  eprover: No such file or directory
% 1.77/25.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.20  eprover: No such file or directory
% 1.77/25.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.21  eprover: No such file or directory
% 1.77/25.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.21  eprover: No such file or directory
% 1.77/25.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.22  eprover: No such file or directory
% 1.77/25.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.23  eprover: No such file or directory
% 1.77/25.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.23  eprover: No such file or directory
% 1.77/25.24  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.24  eprover: No such file or directory
% 1.77/25.25  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.77/25.25  eprover: No such file or directory
%------------------------------------------------------------------------------