TSTP Solution File: HWV095+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : HWV095+1 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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 : Sat Jul 16 14:09:54 EDT 2022

% Result   : Theorem 0.32s 1.50s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   43 (  13 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  107 (  44   ~;  36   |;  16   &)
%                                         (   9 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   46 (  14 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(writeBinaryOperatorShiftedRanges_80,axiom,
    ! [X2] :
      ( v1010(X2)
    <=> ( v1000(X2,bitIndex0)
        | v1000(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorShiftedRanges_80) ).

fof(addAssignment_244,axiom,
    ! [X2] :
      ( v1000(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addAssignment_244) ).

fof(addAssertion,conjecture,
    ! [X2] :
      ( reachableState(X2)
     => v4(X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addAssertion) ).

fof(writeBinaryOperatorEqualRangesSingleBits_170,axiom,
    ! [X2] :
      ( v996(X2)
    <=> ( v998(X2)
        & v1010(X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorEqualRangesSingleBits_170) ).

fof(writeBinaryOperatorShiftedRanges_78,axiom,
    ! [X2] :
      ( v1001(X2)
    <=> ( v1003(X2)
        & v1007(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorShiftedRanges_78) ).

fof(addZeroExtensionConstraint_3,axiom,
    ! [X2] : ~ v1007(X2,bitIndex5),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addZeroExtensionConstraint_3) ).

fof(writeUnaryOperator_113,axiom,
    ! [X2] :
      ( ~ v4(X2)
    <=> v995(X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeUnaryOperator_113) ).

fof(writeUnaryOperator_111,axiom,
    ! [X2] :
      ( ~ v998(X2)
    <=> v999(X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeUnaryOperator_111) ).

fof(addAssignment_245,axiom,
    ! [X2] :
      ( v1000(X2,bitIndex0)
    <=> v1001(X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addAssignment_245) ).

fof(writeUnaryOperator_112,axiom,
    ! [X2] :
      ( ~ v995(X2)
    <=> v996(X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeUnaryOperator_112) ).

fof(writeBinaryOperatorShiftedRanges_79,axiom,
    ! [X2] :
      ( v999(X2)
    <=> ( v1000(X2,bitIndex0)
        & v1000(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorShiftedRanges_79) ).

fof(c_0_11,plain,
    ! [X3,X3] :
      ( ( ~ v1010(X3)
        | v1000(X3,bitIndex0)
        | v1000(X3,bitIndex1) )
      & ( ~ v1000(X3,bitIndex0)
        | v1010(X3) )
      & ( ~ v1000(X3,bitIndex1)
        | v1010(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_80])])])])]) ).

fof(c_0_12,plain,
    ! [X3] : v1000(X3,bitIndex1),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[addAssignment_244])]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X2] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

fof(c_0_14,plain,
    ! [X3,X3] :
      ( ( v998(X3)
        | ~ v996(X3) )
      & ( v1010(X3)
        | ~ v996(X3) )
      & ( ~ v998(X3)
        | ~ v1010(X3)
        | v996(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorEqualRangesSingleBits_170])])])])]) ).

cnf(c_0_15,plain,
    ( v1010(X1)
    | ~ v1000(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    v1000(X1,bitIndex1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,plain,
    ! [X3,X3] :
      ( ( v1003(X3)
        | ~ v1001(X3) )
      & ( v1007(X3,bitIndex5)
        | ~ v1001(X3) )
      & ( ~ v1003(X3)
        | ~ v1007(X3,bitIndex5)
        | v1001(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_78])])])])]) ).

fof(c_0_18,plain,
    ! [X3] : ~ v1007(X3,bitIndex5),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_3])]) ).

fof(c_0_19,negated_conjecture,
    ( reachableState(esk1_0)
    & ~ v4(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_20,plain,
    ! [X3,X3] :
      ( ( v4(X3)
        | v995(X3) )
      & ( ~ v995(X3)
        | ~ v4(X3) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[writeUnaryOperator_113])])])])]) ).

cnf(c_0_21,plain,
    ( v996(X1)
    | ~ v1010(X1)
    | ~ v998(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    v1010(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

fof(c_0_23,plain,
    ! [X3,X3] :
      ( ( v998(X3)
        | v999(X3) )
      & ( ~ v999(X3)
        | ~ v998(X3) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[writeUnaryOperator_111])])])])]) ).

cnf(c_0_24,plain,
    ( v1007(X1,bitIndex5)
    | ~ v1001(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ~ v1007(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_26,plain,
    ! [X3,X3] :
      ( ( ~ v1000(X3,bitIndex0)
        | v1001(X3) )
      & ( ~ v1001(X3)
        | v1000(X3,bitIndex0) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_245])])])]) ).

fof(c_0_27,plain,
    ! [X3,X3] :
      ( ( v995(X3)
        | v996(X3) )
      & ( ~ v996(X3)
        | ~ v995(X3) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[writeUnaryOperator_112])])])])]) ).

cnf(c_0_28,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    ( v995(X1)
    | v4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_30,plain,
    ! [X3,X3] :
      ( ( v1000(X3,bitIndex0)
        | ~ v999(X3) )
      & ( v1000(X3,bitIndex1)
        | ~ v999(X3) )
      & ( ~ v1000(X3,bitIndex0)
        | ~ v1000(X3,bitIndex1)
        | v999(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_79])])])])]) ).

cnf(c_0_31,plain,
    ( v996(X1)
    | ~ v998(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).

cnf(c_0_32,plain,
    ( v999(X1)
    | v998(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ~ v1001(X1),
    inference(sr,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_34,plain,
    ( v1001(X1)
    | ~ v1000(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    ( ~ v995(X1)
    | ~ v996(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,negated_conjecture,
    v995(esk1_0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    ( v1000(X1,bitIndex0)
    | ~ v999(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    ( v999(X1)
    | v996(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,plain,
    ~ v1000(X1,bitIndex0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    ~ v996(esk1_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,plain,
    v996(X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HWV095+1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n006.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 : Fri Jun 17 09:47:26 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.32/1.50  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.32/1.50  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.32/1.50  # Preprocessing time       : 0.043 s
% 0.32/1.50  
% 0.32/1.50  # Failure: Out of unprocessed clauses!
% 0.32/1.50  # OLD status GaveUp
% 0.32/1.50  # Parsed axioms                        : 1156
% 0.32/1.50  # Removed by relevancy pruning/SinE    : 1149
% 0.32/1.50  # Initial clauses                      : 16
% 0.32/1.50  # Removed in clause preprocessing      : 0
% 0.32/1.50  # Initial clauses in saturation        : 16
% 0.32/1.50  # Processed clauses                    : 18
% 0.32/1.50  # ...of these trivial                  : 0
% 0.32/1.50  # ...subsumed                          : 0
% 0.32/1.50  # ...remaining for further processing  : 18
% 0.32/1.50  # Other redundant clauses eliminated   : 0
% 0.32/1.50  # Clauses deleted for lack of memory   : 0
% 0.32/1.50  # Backward-subsumed                    : 0
% 0.32/1.50  # Backward-rewritten                   : 0
% 0.32/1.50  # Generated clauses                    : 7
% 0.32/1.50  # ...of the previous two non-trivial   : 2
% 0.32/1.50  # Contextual simplify-reflections      : 0
% 0.32/1.50  # Paramodulations                      : 7
% 0.32/1.50  # Factorizations                       : 0
% 0.32/1.50  # Equation resolutions                 : 0
% 0.32/1.50  # Current number of processed clauses  : 18
% 0.32/1.50  #    Positive orientable unit clauses  : 2
% 0.32/1.50  #    Positive unorientable unit clauses: 0
% 0.32/1.50  #    Negative unit clauses             : 2
% 0.32/1.50  #    Non-unit-clauses                  : 14
% 0.32/1.50  # Current number of unprocessed clauses: 0
% 0.32/1.50  # ...number of literals in the above   : 0
% 0.32/1.50  # Current number of archived formulas  : 0
% 0.32/1.50  # Current number of archived clauses   : 0
% 0.32/1.50  # Clause-clause subsumption calls (NU) : 8
% 0.32/1.50  # Rec. Clause-clause subsumption calls : 7
% 0.32/1.50  # Non-unit clause-clause subsumptions  : 0
% 0.32/1.50  # Unit Clause-clause subsumption calls : 1
% 0.32/1.50  # Rewrite failures with RHS unbound    : 0
% 0.32/1.50  # BW rewrite match attempts            : 0
% 0.32/1.50  # BW rewrite match successes           : 0
% 0.32/1.50  # Condensation attempts                : 0
% 0.32/1.50  # Condensation successes               : 0
% 0.32/1.50  # Termbank termtop insertions          : 14583
% 0.32/1.50  
% 0.32/1.50  # -------------------------------------------------
% 0.32/1.50  # User time                : 0.037 s
% 0.32/1.50  # System time              : 0.006 s
% 0.32/1.50  # Total time               : 0.043 s
% 0.32/1.50  # Maximum resident set size: 6468 pages
% 0.32/1.50  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.32/1.50  # Preprocessing time       : 0.115 s
% 0.32/1.50  
% 0.32/1.50  # Proof found!
% 0.32/1.50  # SZS status Theorem
% 0.32/1.50  # SZS output start CNFRefutation
% See solution above
% 0.32/1.50  # Proof object total steps             : 43
% 0.32/1.50  # Proof object clause steps            : 20
% 0.32/1.50  # Proof object formula steps           : 23
% 0.32/1.50  # Proof object conjectures             : 7
% 0.32/1.50  # Proof object clause conjectures      : 4
% 0.32/1.50  # Proof object formula conjectures     : 3
% 0.32/1.50  # Proof object initial clauses used    : 11
% 0.32/1.50  # Proof object initial formulas used   : 11
% 0.32/1.50  # Proof object generating inferences   : 5
% 0.32/1.50  # Proof object simplifying inferences  : 8
% 0.32/1.50  # Training examples: 0 positive, 0 negative
% 0.32/1.50  # Parsed axioms                        : 1156
% 0.32/1.50  # Removed by relevancy pruning/SinE    : 0
% 0.32/1.50  # Initial clauses                      : 3447
% 0.32/1.50  # Removed in clause preprocessing      : 0
% 0.32/1.50  # Initial clauses in saturation        : 3447
% 0.32/1.50  # Processed clauses                    : 3854
% 0.32/1.50  # ...of these trivial                  : 7
% 0.32/1.50  # ...subsumed                          : 14
% 0.32/1.50  # ...remaining for further processing  : 3833
% 0.32/1.50  # Other redundant clauses eliminated   : 0
% 0.32/1.50  # Clauses deleted for lack of memory   : 0
% 0.32/1.50  # Backward-subsumed                    : 16
% 0.32/1.50  # Backward-rewritten                   : 18
% 0.32/1.50  # Generated clauses                    : 4713
% 0.32/1.50  # ...of the previous two non-trivial   : 2699
% 0.32/1.50  # Contextual simplify-reflections      : 38
% 0.32/1.50  # Paramodulations                      : 4025
% 0.32/1.50  # Factorizations                       : 688
% 0.32/1.50  # Equation resolutions                 : 0
% 0.32/1.50  # Current number of processed clauses  : 3799
% 0.32/1.50  #    Positive orientable unit clauses  : 67
% 0.32/1.50  #    Positive unorientable unit clauses: 0
% 0.32/1.50  #    Negative unit clauses             : 198
% 0.32/1.50  #    Non-unit-clauses                  : 3534
% 0.32/1.50  # Current number of unprocessed clauses: 2249
% 0.32/1.50  # ...number of literals in the above   : 19268
% 0.32/1.50  # Current number of archived formulas  : 0
% 0.32/1.50  # Current number of archived clauses   : 34
% 0.32/1.50  # Clause-clause subsumption calls (NU) : 4342854
% 0.32/1.50  # Rec. Clause-clause subsumption calls : 2721372
% 0.32/1.50  # Non-unit clause-clause subsumptions  : 40
% 0.32/1.50  # Unit Clause-clause subsumption calls : 34056
% 0.32/1.50  # Rewrite failures with RHS unbound    : 0
% 0.32/1.50  # BW rewrite match attempts            : 16
% 0.32/1.50  # BW rewrite match successes           : 16
% 0.32/1.50  # Condensation attempts                : 0
% 0.32/1.50  # Condensation successes               : 0
% 0.32/1.50  # Termbank termtop insertions          : 241604
% 0.32/1.50  
% 0.32/1.50  # -------------------------------------------------
% 0.32/1.50  # User time                : 0.743 s
% 0.32/1.50  # System time              : 0.023 s
% 0.32/1.50  # Total time               : 0.766 s
% 0.32/1.50  # Maximum resident set size: 19980 pages
%------------------------------------------------------------------------------