TSTP Solution File: HWV093_1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : HWV093_1 : TPTP v8.2.0. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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  : 300s
% DateTime : Mon May 20 21:36:29 EDT 2024

% Result   : Theorem 1.13s 0.68s
% Output   : CNFRefutation 1.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   66 (  15 unt;  17 typ;   0 def)
%            Number of atoms       :  118 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  121 (  52   ~;  38   |;  17   &)
%                                         (  12 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   13 (  11   >;   2   *;   0   +;   0  <<)
%            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   :   44 (   0 sgn  44   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    bitindex_type: $tType ).

tff(decl_sort2,type,
    state_type: $tType ).

tff(decl_46,type,
    bitIndex5: bitindex_type ).

tff(decl_47,type,
    bitIndex0: bitindex_type ).

tff(decl_48,type,
    bitIndex1: bitindex_type ).

tff(decl_1103,type,
    v1007: ( state_type * bitindex_type ) > $o ).

tff(decl_1109,type,
    v1003: state_type > $o ).

tff(decl_1110,type,
    v1001: state_type > $o ).

tff(decl_1111,type,
    v1000: ( state_type * bitindex_type ) > $o ).

tff(decl_1112,type,
    v999: state_type > $o ).

tff(decl_1113,type,
    v998: state_type > $o ).

tff(decl_1114,type,
    v1010: state_type > $o ).

tff(decl_1115,type,
    v996: state_type > $o ).

tff(decl_1116,type,
    v995: state_type > $o ).

tff(decl_1117,type,
    v4: state_type > $o ).

tff(decl_1118,type,
    reachableState: state_type > $o ).

tff(decl_1126,type,
    esk1_0: state_type ).

tff(addZeroExtensionConstraint_3,axiom,
    ! [X2: state_type] : ~ v1007(X2,bitIndex5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addZeroExtensionConstraint_3) ).

tff(writeBinaryOperatorShiftedRanges_78,axiom,
    ! [X2: state_type] :
      ( v1001(X2)
    <=> ( v1003(X2)
        & v1007(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_78) ).

tff(addAssignment_244,axiom,
    ! [X2: state_type] :
      ( v1000(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_244) ).

tff(addAssignment_245,axiom,
    ! [X2: state_type] :
      ( v1000(X2,bitIndex0)
    <=> v1001(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssignment_245) ).

tff(addAssertion,conjecture,
    ! [X2: state_type] :
      ( reachableState(X2)
     => v4(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addAssertion) ).

tff(writeUnaryOperator_113,axiom,
    ! [X2: state_type] :
      ( ~ v4(X2)
    <=> v995(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_113) ).

tff(writeBinaryOperatorShiftedRanges_80,axiom,
    ! [X2: state_type] :
      ( v1010(X2)
    <=> ( v1000(X2,bitIndex0)
        | v1000(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_80) ).

tff(writeUnaryOperator_111,axiom,
    ! [X2: state_type] :
      ( ~ v998(X2)
    <=> v999(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_111) ).

tff(writeBinaryOperatorShiftedRanges_79,axiom,
    ! [X2: state_type] :
      ( v999(X2)
    <=> ( v1000(X2,bitIndex0)
        & v1000(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_79) ).

tff(writeUnaryOperator_112,axiom,
    ! [X2: state_type] :
      ( ~ v995(X2)
    <=> v996(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeUnaryOperator_112) ).

tff(writeBinaryOperatorEqualRangesSingleBits_170,axiom,
    ! [X2: state_type] :
      ( v996(X2)
    <=> ( v998(X2)
        & v1010(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_170) ).

tff(c_0_11,plain,
    ! [X2: state_type] : ~ v1007(X2,bitIndex5),
    inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_3]) ).

tff(c_0_12,plain,
    ! [X96: state_type] :
      ( ( v1003(X96)
        | ~ v1001(X96) )
      & ( v1007(X96,bitIndex5)
        | ~ v1001(X96) )
      & ( ~ v1003(X96)
        | ~ v1007(X96,bitIndex5)
        | v1001(X96) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_78])])])]) ).

tff(c_0_13,plain,
    ! [X103: state_type] : ~ v1007(X103,bitIndex5),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).

tff(c_0_14,plain,
    ! [X77: state_type] :
      ( ( ~ v1000(X77,bitIndex1)
        | $true )
      & ( ~ $true
        | v1000(X77,bitIndex1) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_244])])]) ).

tff(c_0_15,plain,
    ! [X76: state_type] :
      ( ( ~ v1000(X76,bitIndex0)
        | v1001(X76) )
      & ( ~ v1001(X76)
        | v1000(X76,bitIndex0) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_245])])]) ).

tcf(c_0_16,plain,
    ! [X1: state_type] :
      ( v1007(X1,bitIndex5)
      | ~ v1001(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

tcf(c_0_17,plain,
    ! [X1: state_type] : ~ v1007(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

tff(c_0_18,negated_conjecture,
    ~ ! [X2: state_type] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

tff(c_0_19,plain,
    ! [X2: state_type] :
      ( ~ v4(X2)
    <=> v995(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_113]) ).

tff(c_0_20,plain,
    ! [X34: state_type] :
      ( ( ~ v1010(X34)
        | v1000(X34,bitIndex0)
        | v1000(X34,bitIndex1) )
      & ( ~ v1000(X34,bitIndex0)
        | v1010(X34) )
      & ( ~ v1000(X34,bitIndex1)
        | v1010(X34) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_80])])])]) ).

tcf(c_0_21,plain,
    ! [X1: state_type] :
      ( v1000(X1,bitIndex1)
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tff(c_0_22,plain,
    ! [X2: state_type] :
      ( ~ v998(X2)
    <=> v999(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_111]) ).

tff(c_0_23,plain,
    ! [X75: state_type] :
      ( ( v1000(X75,bitIndex0)
        | ~ v999(X75) )
      & ( v1000(X75,bitIndex1)
        | ~ v999(X75) )
      & ( ~ v1000(X75,bitIndex0)
        | ~ v1000(X75,bitIndex1)
        | v999(X75) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_79])])])]) ).

tcf(c_0_24,plain,
    ! [X1: state_type] :
      ( v1001(X1)
      | ~ v1000(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

tcf(c_0_25,plain,
    ! [X1: state_type] : ~ v1001(X1),
    inference(sr,[status(thm)],[c_0_16,c_0_17]) ).

tff(c_0_26,plain,
    ! [X2: state_type] :
      ( ~ v995(X2)
    <=> v996(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_112]) ).

tff(c_0_27,negated_conjecture,
    ( reachableState(esk1_0)
    & ~ v4(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).

tff(c_0_28,plain,
    ! [X6: state_type] :
      ( ( v4(X6)
        | v995(X6) )
      & ( ~ v995(X6)
        | ~ v4(X6) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).

tff(c_0_29,plain,
    ! [X13: state_type] :
      ( ( v998(X13)
        | ~ v996(X13) )
      & ( v1010(X13)
        | ~ v996(X13) )
      & ( ~ v998(X13)
        | ~ v1010(X13)
        | v996(X13) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorEqualRangesSingleBits_170])])])]) ).

tcf(c_0_30,plain,
    ! [X1: state_type] :
      ( v1010(X1)
      | ~ v1000(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tcf(c_0_31,plain,
    ! [X1: state_type] : v1000(X1,bitIndex1),
    inference(cn,[status(thm)],[c_0_21]) ).

tff(c_0_32,plain,
    ! [X35: state_type] :
      ( ( v998(X35)
        | v999(X35) )
      & ( ~ v999(X35)
        | ~ v998(X35) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

tcf(c_0_33,plain,
    ! [X1: state_type] :
      ( v1000(X1,bitIndex0)
      | ~ v999(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

tcf(c_0_34,plain,
    ! [X1: state_type] : ~ v1000(X1,bitIndex0),
    inference(sr,[status(thm)],[c_0_24,c_0_25]) ).

tff(c_0_35,plain,
    ! [X9: state_type] :
      ( ( v995(X9)
        | v996(X9) )
      & ( ~ v996(X9)
        | ~ v995(X9) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).

tcf(c_0_36,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

tcf(c_0_37,plain,
    ! [X1: state_type] :
      ( v4(X1)
      | v995(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

tcf(c_0_38,plain,
    ! [X1: state_type] :
      ( v996(X1)
      | ~ v998(X1)
      | ~ v1010(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

tcf(c_0_39,plain,
    ! [X1: state_type] : v1010(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).

tcf(c_0_40,plain,
    ! [X1: state_type] :
      ( v998(X1)
      | v999(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

tcf(c_0_41,plain,
    ! [X1: state_type] : ~ v999(X1),
    inference(sr,[status(thm)],[c_0_33,c_0_34]) ).

tcf(c_0_42,plain,
    ! [X1: state_type] :
      ( ~ v996(X1)
      | ~ v995(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

tcf(c_0_43,negated_conjecture,
    v995(esk1_0),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

tcf(c_0_44,plain,
    ! [X1: state_type] :
      ( v996(X1)
      | ~ v998(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).

tcf(c_0_45,plain,
    ! [X1: state_type] : v998(X1),
    inference(sr,[status(thm)],[c_0_40,c_0_41]) ).

tcf(c_0_46,negated_conjecture,
    ~ v996(esk1_0),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

tcf(c_0_47,plain,
    ! [X1: state_type] : v996(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : HWV093_1 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n015.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    : 300
% 0.13/0.35  % DateTime   : Sun May 19 11:34:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.13/0.68  # Version: 3.1.0
% 1.13/0.68  # Preprocessing class: FMLLSMSLSSSNFFN.
% 1.13/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.13/0.68  # Starting new_bool_3 with 300s (1) cores
% 1.13/0.68  # Starting new_bool_1 with 300s (1) cores
% 1.13/0.68  # Starting sh5l with 300s (1) cores
% 1.13/0.68  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 21729 completed with status 0
% 1.13/0.68  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 1.13/0.68  # Preprocessing class: FMLLSMSLSSSNFFN.
% 1.13/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.13/0.68  # SinE strategy is gf600_h_gu_R05_F100_L20000
% 1.13/0.68  # Search class: FGHSF-SSLM00-SFFFFFNN
% 1.13/0.68  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.13/0.68  # Starting new_ho_10 with 271s (1) cores
% 1.13/0.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 1.13/0.68  # Starting ho_unfolding_3 with 271s (1) cores
% 1.13/0.68  # Starting new_ho_10_cnf2 with 271s (1) cores
% 1.13/0.68  # Starting pre_casc_2 with 271s (1) cores
% 1.13/0.68  # new_ho_10 with pid 21740 completed with status 0
% 1.13/0.68  # Result found by new_ho_10
% 1.13/0.68  # Preprocessing class: FMLLSMSLSSSNFFN.
% 1.13/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.13/0.68  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.13/0.68  # SinE strategy is gf600_h_gu_R05_F100_L20000
% 1.13/0.68  # Search class: FGHSF-SSLM00-SFFFFFNN
% 1.13/0.68  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.13/0.68  # Starting new_ho_10 with 271s (1) cores
% 1.13/0.68  # Preprocessing time       : 0.011 s
% 1.13/0.68  # Presaturation interreduction done
% 1.13/0.68  
% 1.13/0.68  # Proof found!
% 1.13/0.68  # SZS status Theorem
% 1.13/0.68  # SZS output start CNFRefutation
% See solution above
% 1.13/0.68  # Parsed axioms                        : 2266
% 1.13/0.68  # Removed by relevancy pruning/SinE    : 1958
% 1.13/0.68  # Initial clauses                      : 1240
% 1.13/0.68  # Removed in clause preprocessing      : 25
% 1.13/0.68  # Initial clauses in saturation        : 1215
% 1.13/0.68  # Processed clauses                    : 1748
% 1.13/0.68  # ...of these trivial                  : 2
% 1.13/0.68  # ...subsumed                          : 6
% 1.13/0.68  # ...remaining for further processing  : 1740
% 1.13/0.68  # Other redundant clauses eliminated   : 164
% 1.13/0.68  # Clauses deleted for lack of memory   : 0
% 1.13/0.68  # Backward-subsumed                    : 6
% 1.13/0.68  # Backward-rewritten                   : 3
% 1.13/0.68  # Generated clauses                    : 254
% 1.13/0.68  # ...of the previous two non-redundant : 199
% 1.13/0.68  # ...aggressively subsumed             : 0
% 1.13/0.68  # Contextual simplify-reflections      : 10
% 1.13/0.68  # Paramodulations                      : 90
% 1.13/0.68  # Factorizations                       : 0
% 1.13/0.68  # NegExts                              : 0
% 1.13/0.68  # Equation resolutions                 : 164
% 1.13/0.68  # Disequality decompositions           : 0
% 1.13/0.68  # Total rewrite steps                  : 49
% 1.13/0.68  # ...of those cached                   : 23
% 1.13/0.68  # Propositional unsat checks           : 0
% 1.13/0.68  #    Propositional check models        : 0
% 1.13/0.68  #    Propositional check unsatisfiable : 0
% 1.13/0.68  #    Propositional clauses             : 0
% 1.13/0.68  #    Propositional clauses after purity: 0
% 1.13/0.68  #    Propositional unsat core size     : 0
% 1.13/0.68  #    Propositional preprocessing time  : 0.000
% 1.13/0.68  #    Propositional encoding time       : 0.000
% 1.13/0.68  #    Propositional solver time         : 0.000
% 1.13/0.68  #    Success case prop preproc time    : 0.000
% 1.13/0.68  #    Success case prop encoding time   : 0.000
% 1.13/0.68  #    Success case prop solver time     : 0.000
% 1.13/0.68  # Current number of processed clauses  : 362
% 1.13/0.68  #    Positive orientable unit clauses  : 142
% 1.13/0.68  #    Positive unorientable unit clauses: 0
% 1.13/0.68  #    Negative unit clauses             : 75
% 1.13/0.68  #    Non-unit-clauses                  : 145
% 1.13/0.68  # Current number of unprocessed clauses: 870
% 1.13/0.68  # ...number of literals in the above   : 2428
% 1.13/0.68  # Current number of archived formulas  : 0
% 1.13/0.68  # Current number of archived clauses   : 1214
% 1.13/0.68  # Clause-clause subsumption calls (NU) : 162790
% 1.13/0.68  # Rec. Clause-clause subsumption calls : 132157
% 1.13/0.68  # Non-unit clause-clause subsumptions  : 10
% 1.13/0.68  # Unit Clause-clause subsumption calls : 6379
% 1.13/0.68  # Rewrite failures with RHS unbound    : 0
% 1.13/0.68  # BW rewrite match attempts            : 4
% 1.13/0.68  # BW rewrite match successes           : 4
% 1.13/0.68  # Condensation attempts                : 1750
% 1.13/0.68  # Condensation successes               : 0
% 1.13/0.68  # Termbank termtop insertions          : 79847
% 1.13/0.68  # Search garbage collected termcells   : 17277
% 1.13/0.68  
% 1.13/0.68  # -------------------------------------------------
% 1.13/0.68  # User time                : 0.146 s
% 1.13/0.68  # System time              : 0.019 s
% 1.13/0.68  # Total time               : 0.165 s
% 1.13/0.68  # Maximum resident set size: 7300 pages
% 1.13/0.68  
% 1.13/0.68  # -------------------------------------------------
% 1.13/0.68  # User time                : 0.618 s
% 1.13/0.68  # System time              : 0.053 s
% 1.13/0.68  # Total time               : 0.671 s
% 1.13/0.68  # Maximum resident set size: 3404 pages
% 1.13/0.68  % E---3.1 exiting
% 1.13/0.68  % E exiting
%------------------------------------------------------------------------------