TSTP Solution File: HWV089_1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : HWV089_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 17:58:37 EDT 2023

% Result   : Theorem 6.90s 2.56s
% Output   : CNFRefutation 6.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   55 (   9 unt;  15 typ;   0 def)
%            Number of atoms       :  104 (   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_44,type,
    bitIndex5: bitindex_type ).

tff(decl_45,type,
    bitIndex0: bitindex_type ).

tff(decl_46,type,
    bitIndex1: bitindex_type ).

tff(decl_2748,type,
    v3684: ( state_type * bitindex_type ) > $o ).

tff(decl_2758,type,
    v3682: state_type > $o ).

tff(decl_2759,type,
    v3680: state_type > $o ).

tff(decl_2760,type,
    v3679: ( state_type * bitindex_type ) > $o ).

tff(decl_2761,type,
    v3678: state_type > $o ).

tff(decl_2762,type,
    v3677: state_type > $o ).

tff(decl_2763,type,
    v3693: state_type > $o ).

tff(decl_2764,type,
    v3675: state_type > $o ).

tff(decl_2765,type,
    v3674: state_type > $o ).

tff(decl_2766,type,
    v4: state_type > $o ).

tff(decl_2767,type,
    reachableState: state_type > $o ).

tff(decl_2786,type,
    esk1_0: state_type ).

tff(writeUnaryOperator_345,axiom,
    ! [X2: state_type] :
      ( ~ v3677(X2)
    <=> v3678(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeUnaryOperator_345) ).

tff(writeUnaryOperator_347,axiom,
    ! [X2: state_type] :
      ( ~ v4(X2)
    <=> v3674(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeUnaryOperator_347) ).

tff(writeUnaryOperator_346,axiom,
    ! [X2: state_type] :
      ( ~ v3674(X2)
    <=> v3675(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeUnaryOperator_346) ).

tff(addZeroExtensionConstraint_5,axiom,
    ! [X2: state_type] : ~ v3684(X2,bitIndex5),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',addZeroExtensionConstraint_5) ).

tff(addAssertion,conjecture,
    ! [X2: state_type] :
      ( reachableState(X2)
     => v4(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',addAssertion) ).

tff(addAssignment_2618,axiom,
    ! [X2: state_type] :
      ( v3679(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',addAssignment_2618) ).

tff(writeBinaryOperatorShiftedRanges_555,axiom,
    ! [X2: state_type] :
      ( v3693(X2)
    <=> ( v3679(X2,bitIndex0)
        | v3679(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeBinaryOperatorShiftedRanges_555) ).

tff(addAssignment_2619,axiom,
    ! [X2: state_type] :
      ( v3679(X2,bitIndex0)
    <=> v3680(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',addAssignment_2619) ).

tff(writeBinaryOperatorShiftedRanges_554,axiom,
    ! [X2: state_type] :
      ( v3678(X2)
    <=> ( v3679(X2,bitIndex0)
        & v3679(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeBinaryOperatorShiftedRanges_554) ).

tff(writeBinaryOperatorShiftedRanges_553,axiom,
    ! [X2: state_type] :
      ( v3680(X2)
    <=> ( v3682(X2)
        & v3684(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeBinaryOperatorShiftedRanges_553) ).

tff(writeBinaryOperatorEqualRangesSingleBits_740,axiom,
    ! [X2: state_type] :
      ( v3675(X2)
    <=> ( v3677(X2)
        & v3693(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p',writeBinaryOperatorEqualRangesSingleBits_740) ).

tff(c_0_11,plain,
    ! [X2: state_type] :
      ( ~ v3677(X2)
    <=> v3678(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_345]) ).

tff(c_0_12,plain,
    ! [X2: state_type] :
      ( ~ v4(X2)
    <=> v3674(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_347]) ).

tff(c_0_13,plain,
    ! [X2: state_type] :
      ( ~ v3674(X2)
    <=> v3675(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_346]) ).

tff(c_0_14,plain,
    ! [X2: state_type] : ~ v3684(X2,bitIndex5),
    inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_5]) ).

tff(c_0_15,negated_conjecture,
    ~ ! [X2: state_type] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

tff(c_0_16,plain,
    ! [X2: state_type] : v3679(X2,bitIndex1),
    inference(fof_simplification,[status(thm)],[addAssignment_2618]) ).

tff(c_0_17,plain,
    ! [X123: state_type] :
      ( ( ~ v3693(X123)
        | v3679(X123,bitIndex0)
        | v3679(X123,bitIndex1) )
      & ( ~ v3679(X123,bitIndex0)
        | v3693(X123) )
      & ( ~ v3679(X123,bitIndex1)
        | v3693(X123) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_555])])]) ).

tff(c_0_18,plain,
    ! [X126: state_type] :
      ( ( ~ v3679(X126,bitIndex0)
        | v3680(X126) )
      & ( ~ v3680(X126)
        | v3679(X126,bitIndex0) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_2619])]) ).

tff(c_0_19,plain,
    ! [X125: state_type] :
      ( ( v3679(X125,bitIndex0)
        | ~ v3678(X125) )
      & ( v3679(X125,bitIndex1)
        | ~ v3678(X125) )
      & ( ~ v3679(X125,bitIndex0)
        | ~ v3679(X125,bitIndex1)
        | v3678(X125) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_554])])]) ).

tff(c_0_20,plain,
    ! [X128: state_type] :
      ( ( v3682(X128)
        | ~ v3680(X128) )
      & ( v3684(X128,bitIndex5)
        | ~ v3680(X128) )
      & ( ~ v3682(X128)
        | ~ v3684(X128,bitIndex5)
        | v3680(X128) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_553])])]) ).

tff(c_0_21,plain,
    ! [X122: state_type] :
      ( ( v3677(X122)
        | ~ v3675(X122) )
      & ( v3693(X122)
        | ~ v3675(X122) )
      & ( ~ v3677(X122)
        | ~ v3693(X122)
        | v3675(X122) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorEqualRangesSingleBits_740])])]) ).

tff(c_0_22,plain,
    ! [X124: state_type] :
      ( ( v3677(X124)
        | v3678(X124) )
      & ( ~ v3678(X124)
        | ~ v3677(X124) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

tff(c_0_23,plain,
    ! [X120: state_type] :
      ( ( v4(X120)
        | v3674(X120) )
      & ( ~ v3674(X120)
        | ~ v4(X120) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

tff(c_0_24,plain,
    ! [X121: state_type] :
      ( ( v3674(X121)
        | v3675(X121) )
      & ( ~ v3675(X121)
        | ~ v3674(X121) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

tff(c_0_25,plain,
    ! [X141: state_type] : ~ v3684(X141,bitIndex5),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

tff(c_0_26,negated_conjecture,
    ( reachableState(esk1_0)
    & ~ v4(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

tff(c_0_27,plain,
    ! [X127: state_type] : v3679(X127,bitIndex1),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

tcf(c_0_28,plain,
    ! [X1: state_type] :
      ( v3693(X1)
      | ~ v3679(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

tcf(c_0_29,plain,
    ! [X1: state_type] :
      ( v3680(X1)
      | ~ v3679(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_30,plain,
    ! [X1: state_type] :
      ( v3679(X1,bitIndex0)
      | ~ v3678(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

tcf(c_0_31,plain,
    ! [X1: state_type] :
      ( v3684(X1,bitIndex5)
      | ~ v3680(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

tcf(c_0_32,plain,
    ! [X1: state_type] :
      ( v3675(X1)
      | ~ v3677(X1)
      | ~ v3693(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

tcf(c_0_33,plain,
    ! [X1: state_type] :
      ( v3677(X1)
      | v3678(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

tcf(c_0_34,plain,
    ! [X1: state_type] :
      ( v4(X1)
      | v3674(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

tcf(c_0_35,plain,
    ! [X1: state_type] :
      ( ~ v3675(X1)
      | ~ v3674(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

tcf(c_0_36,plain,
    ! [X1: state_type] : ~ v3684(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

tcf(c_0_37,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

tcf(c_0_38,plain,
    ! [X1: state_type] : v3679(X1,bitIndex1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_28,c_0_29,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]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : HWV089_1 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n004.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   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 05:13:15 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 1.12/1.43  Running first-order model finding
% 1.12/1.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.P06GsEAYcO/E---3.1_23651.p
% 6.90/2.56  # Version: 3.1pre001
% 6.90/2.56  # Preprocessing class: FMLLMMSLSSSNFFN.
% 6.90/2.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.90/2.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 6.90/2.56  # Starting new_bool_3 with 300s (1) cores
% 6.90/2.56  # Starting new_bool_1 with 300s (1) cores
% 6.90/2.56  # Starting sh5l with 300s (1) cores
% 6.90/2.56  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 23730 completed with status 0
% 6.90/2.56  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 6.90/2.56  # Preprocessing class: FMLLMMSLSSSNFFN.
% 6.90/2.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.90/2.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 6.90/2.56  # No SInE strategy applied
% 6.90/2.56  # Search class: FGHSM-SMLM00-SFFFFFNN
% 6.90/2.56  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.90/2.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 290s (1) cores
% 6.90/2.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 151s (1) cores
% 6.90/2.56  # Starting new_bool_1 with 290s (1) cores
% 6.90/2.56  # Starting sh5l with 290s (1) cores
% 6.90/2.56  # Starting SAT001_MinMin_p005000_rr_RG with 193s (1) cores
% 6.90/2.56  # SAT001_MinMin_p005000_rr_RG with pid 23759 completed with status 0
% 6.90/2.56  # Result found by SAT001_MinMin_p005000_rr_RG
% 6.90/2.56  # Preprocessing class: FMLLMMSLSSSNFFN.
% 6.90/2.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.90/2.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 6.90/2.56  # No SInE strategy applied
% 6.90/2.56  # Search class: FGHSM-SMLM00-SFFFFFNN
% 6.90/2.56  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.90/2.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 290s (1) cores
% 6.90/2.56  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 151s (1) cores
% 6.90/2.56  # Starting new_bool_1 with 290s (1) cores
% 6.90/2.56  # Starting sh5l with 290s (1) cores
% 6.90/2.56  # Starting SAT001_MinMin_p005000_rr_RG with 193s (1) cores
% 6.90/2.56  # Preprocessing time       : 0.087 s
% 6.90/2.56  # SatCheck found unsatisfiable ground set
% 6.90/2.56  # Presaturation interreduction done
% 6.90/2.56  
% 6.90/2.56  # Proof found!
% 6.90/2.56  # SZS status Theorem
% 6.90/2.56  # SZS output start CNFRefutation
% See solution above
% 6.90/2.56  # Parsed axioms                        : 9041
% 6.90/2.56  # Removed by relevancy pruning/SinE    : 0
% 6.90/2.56  # Initial clauses                      : 17498
% 6.90/2.56  # Removed in clause preprocessing      : 2755
% 6.90/2.56  # Initial clauses in saturation        : 14743
% 6.90/2.56  # Processed clauses                    : 5076
% 6.90/2.56  # ...of these trivial                  : 27
% 6.90/2.56  # ...subsumed                          : 49
% 6.90/2.56  # ...remaining for further processing  : 5000
% 6.90/2.56  # Other redundant clauses eliminated   : 369
% 6.90/2.56  # Clauses deleted for lack of memory   : 0
% 6.90/2.56  # Backward-subsumed                    : 27
% 6.90/2.56  # Backward-rewritten                   : 8
% 6.90/2.56  # Generated clauses                    : 370
% 6.90/2.56  # ...of the previous two non-redundant : 378
% 6.90/2.56  # ...aggressively subsumed             : 0
% 6.90/2.56  # Contextual simplify-reflections      : 6
% 6.90/2.56  # Paramodulations                      : 0
% 6.90/2.56  # Factorizations                       : 0
% 6.90/2.56  # NegExts                              : 0
% 6.90/2.56  # Equation resolutions                 : 369
% 6.90/2.56  # Total rewrite steps                  : 37
% 6.90/2.56  # Propositional unsat checks           : 1
% 6.90/2.56  #    Propositional check models        : 0
% 6.90/2.56  #    Propositional check unsatisfiable : 1
% 6.90/2.56  #    Propositional clauses             : 14640
% 6.90/2.56  #    Propositional clauses after purity: 11790
% 6.90/2.56  #    Propositional unsat core size     : 11
% 6.90/2.56  #    Propositional preprocessing time  : 0.000
% 6.90/2.56  #    Propositional encoding time       : 0.019
% 6.90/2.56  #    Propositional solver time         : 0.006
% 6.90/2.56  #    Success case prop preproc time    : 0.000
% 6.90/2.56  #    Success case prop encoding time   : 0.019
% 6.90/2.56  #    Success case prop solver time     : 0.006
% 6.90/2.56  # Current number of processed clauses  : 4595
% 6.90/2.56  #    Positive orientable unit clauses  : 786
% 6.90/2.56  #    Positive unorientable unit clauses: 0
% 6.90/2.56  #    Negative unit clauses             : 719
% 6.90/2.56  #    Non-unit-clauses                  : 3090
% 6.90/2.56  # Current number of unprocessed clauses: 10045
% 6.90/2.56  # ...number of literals in the above   : 24660
% 6.90/2.56  # Current number of archived formulas  : 0
% 6.90/2.56  # Current number of archived clauses   : 38
% 6.90/2.56  # Clause-clause subsumption calls (NU) : 2730291
% 6.90/2.56  # Rec. Clause-clause subsumption calls : 2365438
% 6.90/2.56  # Non-unit clause-clause subsumptions  : 6
% 6.90/2.56  # Unit Clause-clause subsumption calls : 189380
% 6.90/2.56  # Rewrite failures with RHS unbound    : 0
% 6.90/2.56  # BW rewrite match attempts            : 14
% 6.90/2.56  # BW rewrite match successes           : 14
% 6.90/2.56  # Condensation attempts                : 0
% 6.90/2.56  # Condensation successes               : 0
% 6.90/2.56  # Termbank termtop insertions          : 662262
% 6.90/2.56  
% 6.90/2.56  # -------------------------------------------------
% 6.90/2.56  # User time                : 0.866 s
% 6.90/2.56  # System time              : 0.067 s
% 6.90/2.56  # Total time               : 0.933 s
% 6.90/2.56  # Maximum resident set size: 36472 pages
% 6.90/2.56  
% 6.90/2.56  # -------------------------------------------------
% 6.90/2.56  # User time                : 2.897 s
% 6.90/2.56  # System time              : 0.196 s
% 6.90/2.56  # Total time               : 3.092 s
% 6.90/2.56  # Maximum resident set size: 8220 pages
% 6.90/2.56  % E---3.1 exiting
%------------------------------------------------------------------------------