TSTP Solution File: HWV089+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 14:09:49 EDT 2022

% Result   : Theorem 0.93s 7.12s
% Output   : CNFRefutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   44 (  15 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  107 (  45   ~;  35   |;  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   :   49 (  18 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(writeBinaryOperatorShiftedRanges_553,axiom,
    ! [X2] :
      ( v3680(X2)
    <=> ( v3682(X2)
        & v3684(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorShiftedRanges_553) ).

fof(addZeroExtensionConstraint_5,axiom,
    ! [X2] : ~ v3684(X2,bitIndex5),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addZeroExtensionConstraint_5) ).

fof(addAssignment_2619,axiom,
    ! [X2] :
      ( v3679(X2,bitIndex0)
    <=> v3680(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addAssignment_2619) ).

fof(writeBinaryOperatorShiftedRanges_555,axiom,
    ! [X2] :
      ( v3693(X2)
    <=> ( v3679(X2,bitIndex0)
        | v3679(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorShiftedRanges_555) ).

fof(addAssignment_2618,axiom,
    ! [X2] :
      ( v3679(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',addAssignment_2618) ).

fof(writeBinaryOperatorShiftedRanges_554,axiom,
    ! [X2] :
      ( v3678(X2)
    <=> ( v3679(X2,bitIndex0)
        & v3679(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorShiftedRanges_554) ).

fof(writeBinaryOperatorEqualRangesSingleBits_740,axiom,
    ! [X2] :
      ( v3675(X2)
    <=> ( v3677(X2)
        & v3693(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeBinaryOperatorEqualRangesSingleBits_740) ).

fof(writeUnaryOperator_345,axiom,
    ! [X2] :
      ( ~ v3677(X2)
    <=> v3678(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeUnaryOperator_345) ).

fof(writeUnaryOperator_346,axiom,
    ! [X2] :
      ( ~ v3674(X2)
    <=> v3675(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeUnaryOperator_346) ).

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

fof(writeUnaryOperator_347,axiom,
    ! [X2] :
      ( ~ v4(X2)
    <=> v3674(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',writeUnaryOperator_347) ).

fof(c_0_11,plain,
    ! [X3,X3] :
      ( ( v3682(X3)
        | ~ v3680(X3) )
      & ( v3684(X3,bitIndex5)
        | ~ v3680(X3) )
      & ( ~ v3682(X3)
        | ~ v3684(X3,bitIndex5)
        | v3680(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_553])])])])]) ).

fof(c_0_12,plain,
    ! [X3] : ~ v3684(X3,bitIndex5),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_5])]) ).

fof(c_0_13,plain,
    ! [X3,X3] :
      ( ( ~ v3679(X3,bitIndex0)
        | v3680(X3) )
      & ( ~ v3680(X3)
        | v3679(X3,bitIndex0) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_2619])])])]) ).

cnf(c_0_14,plain,
    ( v3684(X1,bitIndex5)
    | ~ v3680(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ~ v3684(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X3,X3] :
      ( ( ~ v3693(X3)
        | v3679(X3,bitIndex0)
        | v3679(X3,bitIndex1) )
      & ( ~ v3679(X3,bitIndex0)
        | v3693(X3) )
      & ( ~ v3679(X3,bitIndex1)
        | v3693(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_555])])])])]) ).

fof(c_0_17,plain,
    ! [X3] : v3679(X3,bitIndex1),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[addAssignment_2618])]) ).

cnf(c_0_18,plain,
    ( v3680(X1)
    | ~ v3679(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ~ v3680(X1),
    inference(sr,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_20,plain,
    ! [X3,X3] :
      ( ( v3679(X3,bitIndex0)
        | ~ v3678(X3) )
      & ( v3679(X3,bitIndex1)
        | ~ v3678(X3) )
      & ( ~ v3679(X3,bitIndex0)
        | ~ v3679(X3,bitIndex1)
        | v3678(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_554])])])])]) ).

fof(c_0_21,plain,
    ! [X3,X3] :
      ( ( v3677(X3)
        | ~ v3675(X3) )
      & ( v3693(X3)
        | ~ v3675(X3) )
      & ( ~ v3677(X3)
        | ~ v3693(X3)
        | v3675(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_740])])])])]) ).

cnf(c_0_22,plain,
    ( v3693(X1)
    | ~ v3679(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    v3679(X1,bitIndex1),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_24,plain,
    ! [X3,X3] :
      ( ( v3677(X3)
        | v3678(X3) )
      & ( ~ v3678(X3)
        | ~ v3677(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_345])])])])]) ).

cnf(c_0_25,plain,
    ~ v3679(X1,bitIndex0),
    inference(sr,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,plain,
    ( v3679(X1,bitIndex0)
    | ~ v3678(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( v3675(X1)
    | ~ v3693(X1)
    | ~ v3677(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    v3693(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_29,plain,
    ( v3678(X1)
    | v3677(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    ~ v3678(X1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_31,plain,
    ! [X3,X3] :
      ( ( v3674(X3)
        | v3675(X3) )
      & ( ~ v3675(X3)
        | ~ v3674(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_346])])])])]) ).

cnf(c_0_32,plain,
    ( v3675(X1)
    | ~ v3677(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_33,plain,
    v3677(X1),
    inference(sr,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_34,negated_conjecture,
    ~ ! [X2] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

fof(c_0_35,plain,
    ! [X3,X3] :
      ( ( v4(X3)
        | v3674(X3) )
      & ( ~ v3674(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_347])])])])]) ).

cnf(c_0_36,plain,
    ( ~ v3674(X1)
    | ~ v3675(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_37,plain,
    v3675(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).

fof(c_0_38,negated_conjecture,
    ( reachableState(esk1_0)
    & ~ v4(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

cnf(c_0_39,plain,
    ( v3674(X1)
    | v4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    ~ v3674(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

cnf(c_0_41,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_42,plain,
    v4(X1),
    inference(sr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV089+1 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 22:09:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.93/7.12  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.93/7.12  # Preprocessing time       : 0.464 s
% 0.93/7.12  
% 0.93/7.12  # Proof found!
% 0.93/7.12  # SZS status Theorem
% 0.93/7.12  # SZS output start CNFRefutation
% See solution above
% 0.93/7.12  # Proof object total steps             : 44
% 0.93/7.12  # Proof object clause steps            : 21
% 0.93/7.12  # Proof object formula steps           : 23
% 0.93/7.12  # Proof object conjectures             : 5
% 0.93/7.12  # Proof object clause conjectures      : 2
% 0.93/7.12  # Proof object formula conjectures     : 3
% 0.93/7.12  # Proof object initial clauses used    : 11
% 0.93/7.12  # Proof object initial formulas used   : 11
% 0.93/7.12  # Proof object generating inferences   : 1
% 0.93/7.12  # Proof object simplifying inferences  : 14
% 0.93/7.12  # Training examples: 0 positive, 0 negative
% 0.93/7.12  # Parsed axioms                        : 6279
% 0.93/7.12  # Removed by relevancy pruning/SinE    : 0
% 0.93/7.12  # Initial clauses                      : 14733
% 0.93/7.12  # Removed in clause preprocessing      : 4
% 0.93/7.12  # Initial clauses in saturation        : 14729
% 0.93/7.12  # Processed clauses                    : 14910
% 0.93/7.12  # ...of these trivial                  : 40
% 0.93/7.12  # ...subsumed                          : 97
% 0.93/7.12  # ...remaining for further processing  : 14773
% 0.93/7.12  # Other redundant clauses eliminated   : 8
% 0.93/7.12  # Clauses deleted for lack of memory   : 0
% 0.93/7.12  # Backward-subsumed                    : 20
% 0.93/7.12  # Backward-rewritten                   : 47
% 0.93/7.12  # Generated clauses                    : 16282
% 0.93/7.12  # ...of the previous two non-trivial   : 9934
% 0.93/7.12  # Contextual simplify-reflections      : 108
% 0.93/7.12  # Paramodulations                      : 16267
% 0.93/7.12  # Factorizations                       : 0
% 0.93/7.12  # Equation resolutions                 : 8
% 0.93/7.12  # Current number of processed clauses  : 14691
% 0.93/7.12  #    Positive orientable unit clauses  : 438
% 0.93/7.12  #    Positive unorientable unit clauses: 0
% 0.93/7.12  #    Negative unit clauses             : 821
% 0.93/7.12  #    Non-unit-clauses                  : 13432
% 0.93/7.12  # Current number of unprocessed clauses: 9736
% 0.93/7.12  # ...number of literals in the above   : 26661
% 0.93/7.12  # Current number of archived formulas  : 0
% 0.93/7.12  # Current number of archived clauses   : 76
% 0.93/7.12  # Clause-clause subsumption calls (NU) : 53652704
% 0.93/7.12  # Rec. Clause-clause subsumption calls : 40046853
% 0.93/7.12  # Non-unit clause-clause subsumptions  : 112
% 0.93/7.12  # Unit Clause-clause subsumption calls : 1183863
% 0.93/7.12  # Rewrite failures with RHS unbound    : 0
% 0.93/7.12  # BW rewrite match attempts            : 26
% 0.93/7.12  # BW rewrite match successes           : 26
% 0.93/7.12  # Condensation attempts                : 0
% 0.93/7.12  # Condensation successes               : 0
% 0.93/7.12  # Termbank termtop insertions          : 867044
% 0.93/7.12  
% 0.93/7.12  # -------------------------------------------------
% 0.93/7.12  # User time                : 5.590 s
% 0.93/7.12  # System time              : 0.049 s
% 0.93/7.12  # Total time               : 5.639 s
% 0.93/7.12  # Maximum resident set size: 67356 pages
%------------------------------------------------------------------------------