TSTP Solution File: CSR077+5 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR077+5 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 03:02:17 EDT 2022

% Result   : Theorem 3.12s 37.30s
% Output   : CNFRefutation 3.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   80 (  30 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :   99 (  38   ~;  43   |;  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(kb_SUMO_4445,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/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4445) ).

fof(prove_from_SUMO_MILO,conjecture,
    ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(kb_SUMO_4610,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NegativeRealNumber)
       => s__SignumFn(X12) = "-1" ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4610) ).

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

fof(kb_SUMO_4608,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NonnegativeRealNumber)
       => ( s__SignumFn(X12) = "1"
          | s__SignumFn(X12) = "0" ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_4608) ).

fof(c_0_5,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_4445])])])])]) ).

cnf(c_0_6,plain,
    ( s__instance(X1,s__RealNumber)
    | X1 != X2
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_7,negated_conjecture,
    ~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

fof(c_0_8,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_4610])]) ).

cnf(c_0_9,plain,
    ( s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(er,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    inference(split_conjunct,[status(thm)],[local_1]) ).

fof(c_0_11,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_12,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_4608])]) ).

cnf(c_0_13,plain,
    ( s__SignumFn(X1) = "-1"
    | ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__RealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    s__instance(s__Number3_1,s__RealNumber),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,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_12]) ).

cnf(c_0_17,plain,
    s__SignumFn(s__Number3_1) = "-1",
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_18,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_14]),c_0_10])]),c_0_17]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR077+5 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.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 : Fri Jun 10 13:24:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.06/26.10  eprover: CPU time limit exceeded, terminating
% 3.06/26.11  eprover: CPU time limit exceeded, terminating
% 3.06/26.11  eprover: CPU time limit exceeded, terminating
% 3.06/27.31  eprover: CPU time limit exceeded, terminating
% 3.12/37.30  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 3.12/37.30  
% 3.12/37.30  # Failure: Resource limit exceeded (time)
% 3.12/37.30  # OLD status Res
% 3.12/37.30  # Preprocessing time       : 0.927 s
% 3.12/37.30  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 3.12/37.30  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 3.12/37.30  # Preprocessing time       : 0.248 s
% 3.12/37.30  
% 3.12/37.30  # Failure: Out of unprocessed clauses!
% 3.12/37.30  # OLD status GaveUp
% 3.12/37.30  # Parsed axioms                        : 16750
% 3.12/37.30  # Removed by relevancy pruning/SinE    : 16723
% 3.12/37.30  # Initial clauses                      : 33
% 3.12/37.30  # Removed in clause preprocessing      : 0
% 3.12/37.30  # Initial clauses in saturation        : 33
% 3.12/37.30  # Processed clauses                    : 72
% 3.12/37.30  # ...of these trivial                  : 3
% 3.12/37.30  # ...subsumed                          : 1
% 3.12/37.30  # ...remaining for further processing  : 68
% 3.12/37.30  # Other redundant clauses eliminated   : 0
% 3.12/37.30  # Clauses deleted for lack of memory   : 0
% 3.12/37.30  # Backward-subsumed                    : 3
% 3.12/37.30  # Backward-rewritten                   : 0
% 3.12/37.30  # Generated clauses                    : 74
% 3.12/37.30  # ...of the previous two non-trivial   : 40
% 3.12/37.30  # Contextual simplify-reflections      : 7
% 3.12/37.30  # Paramodulations                      : 74
% 3.12/37.30  # Factorizations                       : 0
% 3.12/37.30  # Equation resolutions                 : 0
% 3.12/37.30  # Current number of processed clauses  : 65
% 3.12/37.30  #    Positive orientable unit clauses  : 23
% 3.12/37.30  #    Positive unorientable unit clauses: 0
% 3.12/37.30  #    Negative unit clauses             : 0
% 3.12/37.30  #    Non-unit-clauses                  : 42
% 3.12/37.30  # Current number of unprocessed clauses: 0
% 3.12/37.30  # ...number of literals in the above   : 0
% 3.12/37.30  # Current number of archived formulas  : 0
% 3.12/37.30  # Current number of archived clauses   : 3
% 3.12/37.30  # Clause-clause subsumption calls (NU) : 195
% 3.12/37.30  # Rec. Clause-clause subsumption calls : 65
% 3.12/37.30  # Non-unit clause-clause subsumptions  : 10
% 3.12/37.30  # Unit Clause-clause subsumption calls : 11
% 3.12/37.30  # Rewrite failures with RHS unbound    : 0
% 3.12/37.30  # BW rewrite match attempts            : 1
% 3.12/37.30  # BW rewrite match successes           : 1
% 3.12/37.30  # Condensation attempts                : 0
% 3.12/37.30  # Condensation successes               : 0
% 3.12/37.30  # Termbank termtop insertions          : 165905
% 3.12/37.30  
% 3.12/37.30  # -------------------------------------------------
% 3.12/37.30  # User time                : 0.224 s
% 3.12/37.30  # System time              : 0.026 s
% 3.12/37.30  # Total time               : 0.250 s
% 3.12/37.30  # Maximum resident set size: 43472 pages
% 3.12/37.30  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 3.12/37.30  # Preprocessing time       : 0.833 s
% 3.12/37.30  
% 3.12/37.30  # Proof found!
% 3.12/37.30  # SZS status Theorem
% 3.12/37.30  # SZS output start CNFRefutation
% See solution above
% 3.12/37.30  # Proof object total steps             : 19
% 3.12/37.30  # Proof object clause steps            : 9
% 3.12/37.30  # Proof object formula steps           : 10
% 3.12/37.30  # Proof object conjectures             : 4
% 3.12/37.30  # Proof object clause conjectures      : 1
% 3.12/37.30  # Proof object formula conjectures     : 3
% 3.12/37.30  # Proof object initial clauses used    : 5
% 3.12/37.30  # Proof object initial formulas used   : 5
% 3.12/37.30  # Proof object generating inferences   : 3
% 3.12/37.30  # Proof object simplifying inferences  : 8
% 3.12/37.30  # Training examples: 0 positive, 0 negative
% 3.12/37.30  # Parsed axioms                        : 16750
% 3.12/37.30  # Removed by relevancy pruning/SinE    : 0
% 3.12/37.30  # Initial clauses                      : 20272
% 3.12/37.30  # Removed in clause preprocessing      : 63
% 3.12/37.30  # Initial clauses in saturation        : 20209
% 3.12/37.30  # Processed clauses                    : 20380
% 3.12/37.30  # ...of these trivial                  : 38
% 3.12/37.30  # ...subsumed                          : 238
% 3.12/37.30  # ...remaining for further processing  : 20103
% 3.12/37.30  # Other redundant clauses eliminated   : 267
% 3.12/37.30  # Clauses deleted for lack of memory   : 260974
% 3.12/37.30  # Backward-subsumed                    : 18
% 3.12/37.30  # Backward-rewritten                   : 782
% 3.12/37.30  # Generated clauses                    : 315748
% 3.12/37.30  # ...of the previous two non-trivial   : 315527
% 3.12/37.30  # Contextual simplify-reflections      : 1644
% 3.12/37.30  # Paramodulations                      : 315406
% 3.12/37.30  # Factorizations                       : 2
% 3.12/37.30  # Equation resolutions                 : 340
% 3.12/37.30  # Current number of processed clauses  : 19292
% 3.12/37.30  #    Positive orientable unit clauses  : 11419
% 3.12/37.30  #    Positive unorientable unit clauses: 0
% 3.12/37.30  #    Negative unit clauses             : 13
% 3.12/37.30  #    Non-unit-clauses                  : 7860
% 3.12/37.30  # Current number of unprocessed clauses: 51467
% 3.12/37.30  # ...number of literals in the above   : 147798
% 3.12/37.30  # Current number of archived formulas  : 0
% 3.12/37.30  # Current number of archived clauses   : 800
% 3.12/37.30  # Clause-clause subsumption calls (NU) : 19231151
% 3.12/37.30  # Rec. Clause-clause subsumption calls : 3736289
% 3.12/37.30  # Non-unit clause-clause subsumptions  : 1900
% 3.12/37.30  # Unit Clause-clause subsumption calls : 5776842
% 3.12/37.30  # Rewrite failures with RHS unbound    : 0
% 3.12/37.30  # BW rewrite match attempts            : 23
% 3.12/37.30  # BW rewrite match successes           : 8
% 3.12/37.30  # Condensation attempts                : 0
% 3.12/37.30  # Condensation successes               : 0
% 3.12/37.30  # Termbank termtop insertions          : 5175343
% 3.12/37.30  
% 3.12/37.30  # -------------------------------------------------
% 3.12/37.30  # User time                : 10.617 s
% 3.12/37.30  # System time              : 0.183 s
% 3.12/37.30  # Total time               : 10.800 s
% 3.12/37.30  # Maximum resident set size: 262148 pages
% 3.12/49.13  eprover: CPU time limit exceeded, terminating
% 3.12/49.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.17  eprover: No such file or directory
% 3.12/49.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.18  eprover: No such file or directory
% 3.12/49.19  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.19  eprover: No such file or directory
% 3.12/49.19  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.19  eprover: No such file or directory
% 3.12/49.20  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.20  eprover: No such file or directory
% 3.12/49.21  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.21  eprover: No such file or directory
% 3.12/49.21  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.21  eprover: No such file or directory
% 3.12/49.22  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.22  eprover: No such file or directory
% 3.12/49.23  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.23  eprover: No such file or directory
% 3.12/49.23  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.23  eprover: No such file or directory
% 3.12/49.50  eprover: CPU time limit exceeded, terminating
% 3.12/49.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.54  eprover: No such file or directory
% 3.12/49.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.55  eprover: No such file or directory
% 3.12/49.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.56  eprover: No such file or directory
% 3.12/49.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.56  eprover: No such file or directory
% 3.12/49.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.57  eprover: No such file or directory
% 3.12/49.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.58  eprover: No such file or directory
% 3.12/49.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.58  eprover: No such file or directory
% 3.12/49.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.59  eprover: No such file or directory
% 3.12/49.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 3.12/49.59  eprover: No such file or directory
% 3.12/50.63  eprover: CPU time limit exceeded, terminating
% 3.12/50.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.12/50.66  eprover: No such file or directory
% 3.12/50.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.12/50.66  eprover: No such file or directory
% 3.12/50.66  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.12/50.66  eprover: No such file or directory
% 3.12/50.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.12/50.67  eprover: No such file or directory
% 3.12/50.67  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.12/50.67  eprover: No such file or directory
% 3.12/50.68  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 3.12/50.68  eprover: No such file or directory
%------------------------------------------------------------------------------