TSTP Solution File: HWV090_1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : HWV090_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:54:40 EDT 2023

% Result   : Theorem 139.80s 88.06s
% Output   : CNFRefutation 139.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   56 (  10 unt;  15 typ;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  108 (  44   ~;  34   |;  16   &)
%                                         (  12 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   13 (  11   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   37 (   0 sgn;  37   !;   0   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_43,type,
    bitIndex5: bitindex_type ).

tff(decl_44,type,
    bitIndex0: bitindex_type ).

tff(decl_45,type,
    bitIndex1: bitindex_type ).

tff(decl_23809,type,
    v30860: ( state_type * bitindex_type ) > $o ).

tff(decl_23819,type,
    v30858: state_type > $o ).

tff(decl_23820,type,
    v30856: state_type > $o ).

tff(decl_23821,type,
    v30855: ( state_type * bitindex_type ) > $o ).

tff(decl_23822,type,
    v30854: state_type > $o ).

tff(decl_23823,type,
    v30853: state_type > $o ).

tff(decl_23824,type,
    v30869: state_type > $o ).

tff(decl_23825,type,
    v30851: state_type > $o ).

tff(decl_23826,type,
    v30850: state_type > $o ).

tff(decl_23827,type,
    v4: state_type > $o ).

tff(decl_23828,type,
    reachableState: state_type > $o ).

tff(decl_24489,type,
    esk1_0: state_type ).

tff(addAssertion,conjecture,
    ! [X2: state_type] :
      ( reachableState(X2)
     => v4(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',addAssertion) ).

tff(writeUnaryOperator_3140,axiom,
    ! [X2: state_type] :
      ( ~ v4(X2)
    <=> v30850(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeUnaryOperator_3140) ).

tff(addZeroExtensionConstraint_11,axiom,
    ! [X2: state_type] : ~ v30860(X2,bitIndex5),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',addZeroExtensionConstraint_11) ).

tff(writeUnaryOperator_3139,axiom,
    ! [X2: state_type] :
      ( ~ v30850(X2)
    <=> v30851(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeUnaryOperator_3139) ).

tff(addAssignment_9321,axiom,
    ! [X2: state_type] :
      ( v30855(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',addAssignment_9321) ).

tff(writeUnaryOperator_3138,axiom,
    ! [X2: state_type] :
      ( ~ v30853(X2)
    <=> v30854(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeUnaryOperator_3138) ).

tff(writeBinaryOperatorShiftedRanges_1723,axiom,
    ! [X2: state_type] :
      ( v30869(X2)
    <=> ( v30855(X2,bitIndex0)
        | v30855(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeBinaryOperatorShiftedRanges_1723) ).

tff(addAssignment_9322,axiom,
    ! [X2: state_type] :
      ( v30855(X2,bitIndex0)
    <=> v30856(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',addAssignment_9322) ).

tff(writeBinaryOperatorShiftedRanges_1722,axiom,
    ! [X2: state_type] :
      ( v30854(X2)
    <=> ( v30855(X2,bitIndex0)
        & v30855(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeBinaryOperatorShiftedRanges_1722) ).

tff(writeBinaryOperatorShiftedRanges_1721,axiom,
    ! [X2: state_type] :
      ( v30856(X2)
    <=> ( v30858(X2)
        & v30860(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeBinaryOperatorShiftedRanges_1721) ).

tff(writeBinaryOperatorEqualRangesSingleBits_6728,axiom,
    ! [X2: state_type] :
      ( v30851(X2)
    <=> ( v30853(X2)
        & v30869(X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p',writeBinaryOperatorEqualRangesSingleBits_6728) ).

tff(c_0_11,negated_conjecture,
    ~ ! [X2: state_type] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

tff(c_0_12,plain,
    ! [X2: state_type] :
      ( ~ v4(X2)
    <=> v30850(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_3140]) ).

tff(c_0_13,plain,
    ! [X2: state_type] : ~ v30860(X2,bitIndex5),
    inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_11]) ).

tff(c_0_14,plain,
    ! [X2: state_type] :
      ( ~ v30850(X2)
    <=> v30851(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_3139]) ).

tff(c_0_15,plain,
    ! [X2: state_type] : v30855(X2,bitIndex1),
    inference(fof_simplification,[status(thm)],[addAssignment_9321]) ).

tff(c_0_16,plain,
    ! [X2: state_type] :
      ( ~ v30853(X2)
    <=> v30854(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_3138]) ).

tff(c_0_17,negated_conjecture,
    ( reachableState(esk1_0)
    & ~ v4(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).

tff(c_0_18,plain,
    ! [X152: state_type] :
      ( ( v4(X152)
        | v30850(X152) )
      & ( ~ v30850(X152)
        | ~ v4(X152) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

tff(c_0_19,plain,
    ! [X155: state_type] :
      ( ( ~ v30869(X155)
        | v30855(X155,bitIndex0)
        | v30855(X155,bitIndex1) )
      & ( ~ v30855(X155,bitIndex0)
        | v30869(X155) )
      & ( ~ v30855(X155,bitIndex1)
        | v30869(X155) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_1723])])]) ).

tff(c_0_20,plain,
    ! [X158: state_type] :
      ( ( ~ v30855(X158,bitIndex0)
        | v30856(X158) )
      & ( ~ v30856(X158)
        | v30855(X158,bitIndex0) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_9322])]) ).

tff(c_0_21,plain,
    ! [X173: state_type] : ~ v30860(X173,bitIndex5),
    inference(variable_rename,[status(thm)],[c_0_13]) ).

tff(c_0_22,plain,
    ! [X157: state_type] :
      ( ( v30855(X157,bitIndex0)
        | ~ v30854(X157) )
      & ( v30855(X157,bitIndex1)
        | ~ v30854(X157) )
      & ( ~ v30855(X157,bitIndex0)
        | ~ v30855(X157,bitIndex1)
        | v30854(X157) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_1722])])]) ).

tff(c_0_23,plain,
    ! [X160: state_type] :
      ( ( v30858(X160)
        | ~ v30856(X160) )
      & ( v30860(X160,bitIndex5)
        | ~ v30856(X160) )
      & ( ~ v30858(X160)
        | ~ v30860(X160,bitIndex5)
        | v30856(X160) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_1721])])]) ).

tff(c_0_24,plain,
    ! [X154: state_type] :
      ( ( v30853(X154)
        | ~ v30851(X154) )
      & ( v30869(X154)
        | ~ v30851(X154) )
      & ( ~ v30853(X154)
        | ~ v30869(X154)
        | v30851(X154) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorEqualRangesSingleBits_6728])])]) ).

tff(c_0_25,plain,
    ! [X153: state_type] :
      ( ( v30850(X153)
        | v30851(X153) )
      & ( ~ v30851(X153)
        | ~ v30850(X153) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).

tff(c_0_26,plain,
    ! [X159: state_type] : v30855(X159,bitIndex1),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

tff(c_0_27,plain,
    ! [X156: state_type] :
      ( ( v30853(X156)
        | v30854(X156) )
      & ( ~ v30854(X156)
        | ~ v30853(X156) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).

tcf(c_0_28,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

tcf(c_0_29,plain,
    ! [X1: state_type] :
      ( v4(X1)
      | v30850(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_30,plain,
    ! [X1: state_type] :
      ( v30869(X1)
      | ~ v30855(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

tcf(c_0_31,plain,
    ! [X1: state_type] :
      ( v30856(X1)
      | ~ v30855(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tcf(c_0_32,plain,
    ! [X1: state_type] : ~ v30860(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

tcf(c_0_33,plain,
    ! [X1: state_type] :
      ( v30855(X1,bitIndex0)
      | ~ v30854(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

tcf(c_0_34,plain,
    ! [X1: state_type] :
      ( v30860(X1,bitIndex5)
      | ~ v30856(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

tcf(c_0_35,plain,
    ! [X1: state_type] :
      ( v30851(X1)
      | ~ v30853(X1)
      | ~ v30869(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

tcf(c_0_36,plain,
    ! [X1: state_type] :
      ( ~ v30851(X1)
      | ~ v30850(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

tcf(c_0_37,plain,
    ! [X1: state_type] : v30855(X1,bitIndex1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

tcf(c_0_38,plain,
    ! [X1: state_type] :
      ( v30853(X1)
      | v30854(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

tcf(c_0_39,negated_conjecture,
    v30850(esk1_0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_40,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_30,c_0_31,c_0_32,c_0_33,c_0_34,c_0_35,c_0_36,c_0_37,c_0_38,c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 36.04/36.16  % Problem    : HWV090_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% 36.04/36.18  % Command    : run_E %s %d THM
% 36.21/36.39  % Computer : n002.cluster.edu
% 36.21/36.39  % Model    : x86_64 x86_64
% 36.21/36.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 36.21/36.39  % Memory   : 8042.1875MB
% 36.21/36.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 36.21/36.39  % CPULimit   : 2400
% 36.21/36.39  % WCLimit    : 300
% 36.21/36.39  % DateTime   : Tue Oct  3 05:20:36 EDT 2023
% 36.21/36.39  % CPUTime    : 
% 72.93/73.12  Running first-order theorem proving
% 72.93/73.12  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.CG0XL4c6bS/E---3.1_22858.p
% 139.80/88.06  # Version: 3.1pre001
% 139.80/88.06  # Preprocessing class: FMLLLMSLSSSNFFN.
% 139.80/88.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 139.80/88.06  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 139.80/88.06  # Starting new_bool_3 with 300s (1) cores
% 139.80/88.06  # Starting new_bool_1 with 300s (1) cores
% 139.80/88.06  # Starting sh5l with 300s (1) cores
% 139.80/88.06  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 22952 completed with status 0
% 139.80/88.06  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 139.80/88.06  # Preprocessing class: FMLLLMSLSSSNFFN.
% 139.80/88.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 139.80/88.06  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 139.80/88.06  # No SInE strategy applied
% 139.80/88.06  # Search class: FGHSM-MMLM00-SFFFFFNN
% 139.80/88.06  # Scheduled 6 strats onto 5 cores with 1489 seconds (1489 total)
% 139.80/88.06  # Starting G----_0021_C18_F1_SE_CS_SP_S5PRR_S0Y with 805s (1) cores
% 139.80/88.06  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 149s (1) cores
% 139.80/88.06  # Starting new_bool_3 with 135s (1) cores
% 139.80/88.06  # Starting new_bool_1 with 135s (1) cores
% 139.80/88.06  # Starting sh5l with 135s (1) cores
% 139.80/88.06  # G----_0021_C18_F1_SE_CS_SP_S5PRR_S0Y with pid 22960 completed with status 0
% 139.80/88.06  # Result found by G----_0021_C18_F1_SE_CS_SP_S5PRR_S0Y
% 139.80/88.06  # Preprocessing class: FMLLLMSLSSSNFFN.
% 139.80/88.06  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 139.80/88.06  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 139.80/88.06  # No SInE strategy applied
% 139.80/88.06  # Search class: FGHSM-MMLM00-SFFFFFNN
% 139.80/88.06  # Scheduled 6 strats onto 5 cores with 1489 seconds (1489 total)
% 139.80/88.06  # Starting G----_0021_C18_F1_SE_CS_SP_S5PRR_S0Y with 805s (1) cores
% 139.80/88.06  # Preprocessing time       : 1.351 s
% 139.80/88.06  # SatCheck found unsatisfiable ground set
% 139.80/88.06  
% 139.80/88.06  # Proof found!
% 139.80/88.06  # SZS status Theorem
% 139.80/88.06  # SZS output start CNFRefutation
% See solution above
% 139.80/88.06  # Parsed axioms                        : 64314
% 139.80/88.06  # Removed by relevancy pruning/SinE    : 0
% 139.80/88.06  # Initial clauses                      : 143518
% 139.80/88.06  # Removed in clause preprocessing      : 23813
% 139.80/88.06  # Initial clauses in saturation        : 119705
% 139.80/88.06  # Processed clauses                    : 5000
% 139.80/88.06  # ...of these trivial                  : 0
% 139.80/88.06  # ...subsumed                          : 0
% 139.80/88.06  # ...remaining for further processing  : 5000
% 139.80/88.06  # Other redundant clauses eliminated   : 0
% 139.80/88.06  # Clauses deleted for lack of memory   : 0
% 139.80/88.06  # Backward-subsumed                    : 0
% 139.80/88.06  # Backward-rewritten                   : 0
% 139.80/88.06  # Generated clauses                    : 2
% 139.80/88.06  # ...of the previous two non-redundant : 1
% 139.80/88.06  # ...aggressively subsumed             : 0
% 139.80/88.06  # Contextual simplify-reflections      : 0
% 139.80/88.06  # Paramodulations                      : 2
% 139.80/88.06  # Factorizations                       : 0
% 139.80/88.06  # NegExts                              : 0
% 139.80/88.06  # Equation resolutions                 : 0
% 139.80/88.06  # Total rewrite steps                  : 0
% 139.80/88.06  # Propositional unsat checks           : 1
% 139.80/88.06  #    Propositional check models        : 0
% 139.80/88.06  #    Propositional check unsatisfiable : 1
% 139.80/88.06  #    Propositional clauses             : 119706
% 139.80/88.06  #    Propositional clauses after purity: 101925
% 139.80/88.06  #    Propositional unsat core size     : 10
% 139.80/88.06  #    Propositional preprocessing time  : 0.000
% 139.80/88.06  #    Propositional encoding time       : 0.287
% 139.80/88.06  #    Propositional solver time         : 0.073
% 139.80/88.06  #    Success case prop preproc time    : 0.000
% 139.80/88.06  #    Success case prop encoding time   : 0.287
% 139.80/88.06  #    Success case prop solver time     : 0.073
% 139.80/88.06  # Current number of processed clauses  : 5000
% 139.80/88.06  #    Positive orientable unit clauses  : 2687
% 139.80/88.06  #    Positive unorientable unit clauses: 0
% 139.80/88.06  #    Negative unit clauses             : 2309
% 139.80/88.06  #    Non-unit-clauses                  : 4
% 139.80/88.06  # Current number of unprocessed clauses: 114706
% 139.80/88.06  # ...number of literals in the above   : 412953
% 139.80/88.06  # Current number of archived formulas  : 0
% 139.80/88.06  # Current number of archived clauses   : 0
% 139.80/88.06  # Clause-clause subsumption calls (NU) : 4
% 139.80/88.06  # Rec. Clause-clause subsumption calls : 4
% 139.80/88.06  # Non-unit clause-clause subsumptions  : 0
% 139.80/88.06  # Unit Clause-clause subsumption calls : 2432183
% 139.80/88.06  # Rewrite failures with RHS unbound    : 0
% 139.80/88.06  # BW rewrite match attempts            : 0
% 139.80/88.06  # BW rewrite match successes           : 0
% 139.80/88.06  # Condensation attempts                : 0
% 139.80/88.06  # Condensation successes               : 0
% 139.80/88.06  # Termbank termtop insertions          : 6167808
% 139.80/88.06  
% 139.80/88.06  # -------------------------------------------------
% 139.80/88.06  # User time                : 13.331 s
% 139.80/88.06  # System time              : 0.625 s
% 139.80/88.06  # Total time               : 13.956 s
% 139.80/88.06  # Maximum resident set size: 299708 pages
% 139.80/88.06  
% 139.80/88.06  # -------------------------------------------------
% 139.80/88.06  # User time                : 22.970 s
% 139.80/88.06  # System time              : 1.393 s
% 139.80/88.06  # Total time               : 24.363 s
% 139.80/88.06  # Maximum resident set size: 50544 pages
% 139.80/88.06  % E---3.1 exiting
% 139.80/88.07  % E---3.1 exiting
%------------------------------------------------------------------------------