TSTP Solution File: HWV095+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : HWV095+1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : Sat May  4 08:05:57 EDT 2024

% Result   : Theorem 5.10s 1.28s
% Output   : CNFRefutation 5.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   49 (  14 unt;   0 def)
%            Number of atoms       :  119 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  121 (  51   ~;  39   |;  17   &)
%                                         (  12 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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   :   44 (   8 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(addAssignment_244,axiom,
    ! [X2] :
      ( v1000(X2,bitIndex1)
    <=> $true ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',addAssignment_244) ).

fof(addZeroExtensionConstraint_3,axiom,
    ! [X2] : ~ v1007(X2,bitIndex5),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',addZeroExtensionConstraint_3) ).

fof(writeBinaryOperatorShiftedRanges_80,axiom,
    ! [X2] :
      ( v1010(X2)
    <=> ( v1000(X2,bitIndex0)
        | v1000(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeBinaryOperatorShiftedRanges_80) ).

fof(writeBinaryOperatorShiftedRanges_78,axiom,
    ! [X2] :
      ( v1001(X2)
    <=> ( v1003(X2)
        & v1007(X2,bitIndex5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeBinaryOperatorShiftedRanges_78) ).

fof(addAssertion,conjecture,
    ! [X2] :
      ( reachableState(X2)
     => v4(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',addAssertion) ).

fof(writeUnaryOperator_113,axiom,
    ! [X2] :
      ( ~ v4(X2)
    <=> v995(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeUnaryOperator_113) ).

fof(writeBinaryOperatorEqualRangesSingleBits_170,axiom,
    ! [X2] :
      ( v996(X2)
    <=> ( v998(X2)
        & v1010(X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeBinaryOperatorEqualRangesSingleBits_170) ).

fof(writeUnaryOperator_111,axiom,
    ! [X2] :
      ( ~ v998(X2)
    <=> v999(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeUnaryOperator_111) ).

fof(addAssignment_245,axiom,
    ! [X2] :
      ( v1000(X2,bitIndex0)
    <=> v1001(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',addAssignment_245) ).

fof(writeUnaryOperator_112,axiom,
    ! [X2] :
      ( ~ v995(X2)
    <=> v996(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeUnaryOperator_112) ).

fof(writeBinaryOperatorShiftedRanges_79,axiom,
    ! [X2] :
      ( v999(X2)
    <=> ( v1000(X2,bitIndex0)
        & v1000(X2,bitIndex1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p',writeBinaryOperatorShiftedRanges_79) ).

fof(c_0_11,plain,
    ! [X18] :
      ( ( ~ v1000(X18,bitIndex1)
        | $true )
      & ( ~ $true
        | v1000(X18,bitIndex1) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_244])])]) ).

fof(c_0_12,plain,
    ! [X2] : ~ v1007(X2,bitIndex5),
    inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_3]) ).

fof(c_0_13,plain,
    ! [X14] :
      ( ( ~ v1010(X14)
        | v1000(X14,bitIndex0)
        | v1000(X14,bitIndex1) )
      & ( ~ v1000(X14,bitIndex0)
        | v1010(X14) )
      & ( ~ v1000(X14,bitIndex1)
        | v1010(X14) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_80])])])]) ).

cnf(c_0_14,plain,
    ( v1000(X1,bitIndex1)
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X19] :
      ( ( v1003(X19)
        | ~ v1001(X19) )
      & ( v1007(X19,bitIndex5)
        | ~ v1001(X19) )
      & ( ~ v1003(X19)
        | ~ v1007(X19,bitIndex5)
        | v1001(X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_78])])])]) ).

fof(c_0_16,plain,
    ! [X27] : ~ v1007(X27,bitIndex5),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).

fof(c_0_17,negated_conjecture,
    ~ ! [X2] :
        ( reachableState(X2)
       => v4(X2) ),
    inference(assume_negation,[status(cth)],[addAssertion]) ).

fof(c_0_18,plain,
    ! [X2] :
      ( ~ v4(X2)
    <=> v995(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_113]) ).

fof(c_0_19,plain,
    ! [X13] :
      ( ( 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])])])]) ).

cnf(c_0_20,plain,
    ( v1010(X1)
    | ~ v1000(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    v1000(X1,bitIndex1),
    inference(cn,[status(thm)],[c_0_14]) ).

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

fof(c_0_23,plain,
    ! [X17] :
      ( ( ~ v1000(X17,bitIndex0)
        | v1001(X17) )
      & ( ~ v1001(X17)
        | v1000(X17,bitIndex0) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_245])])]) ).

cnf(c_0_24,plain,
    ( v1007(X1,bitIndex5)
    | ~ v1001(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    ~ v1007(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

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

fof(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_17])])])]) ).

fof(c_0_28,plain,
    ! [X11] :
      ( ( v4(X11)
        | v995(X11) )
      & ( ~ v995(X11)
        | ~ v4(X11) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).

cnf(c_0_29,plain,
    ( v996(X1)
    | ~ v998(X1)
    | ~ v1010(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,plain,
    v1010(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).

fof(c_0_31,plain,
    ! [X15] :
      ( ( v998(X15)
        | v999(X15) )
      & ( ~ v999(X15)
        | ~ v998(X15) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

fof(c_0_32,plain,
    ! [X16] :
      ( ( v1000(X16,bitIndex0)
        | ~ v999(X16) )
      & ( v1000(X16,bitIndex1)
        | ~ v999(X16) )
      & ( ~ v1000(X16,bitIndex0)
        | ~ v1000(X16,bitIndex1)
        | v999(X16) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_79])])])]) ).

cnf(c_0_33,plain,
    ( v1001(X1)
    | ~ v1000(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,plain,
    ~ v1001(X1),
    inference(sr,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_35,plain,
    ! [X12] :
      ( ( v995(X12)
        | v996(X12) )
      & ( ~ v996(X12)
        | ~ v995(X12) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).

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

cnf(c_0_37,plain,
    ( v4(X1)
    | v995(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    ( v996(X1)
    | ~ v998(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_39,plain,
    ( v998(X1)
    | v999(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,plain,
    ( v1000(X1,bitIndex0)
    | ~ v999(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,plain,
    ~ v1000(X1,bitIndex0),
    inference(sr,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_42,plain,
    ( ~ v996(X1)
    | ~ v995(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

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

cnf(c_0_44,plain,
    ( v999(X1)
    | v996(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,plain,
    ~ v999(X1),
    inference(sr,[status(thm)],[c_0_40,c_0_41]) ).

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

cnf(c_0_47,plain,
    v996(X1),
    inference(sr,[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
% 0.03/0.12  % Problem    : HWV095+1 : TPTP v8.1.2. Released v6.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n024.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    : 300
% 0.13/0.34  % DateTime   : Fri May  3 17:55:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.39/0.57  Running first-order model finding
% 0.39/0.57  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.MZUgxqdIVA/E---3.1_3286.p
% 5.10/1.28  # Version: 3.1.0
% 5.10/1.28  # Preprocessing class: FMLLSMSLSSSNFFN.
% 5.10/1.28  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.10/1.28  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 5.10/1.28  # Starting new_bool_3 with 300s (1) cores
% 5.10/1.28  # Starting new_bool_1 with 300s (1) cores
% 5.10/1.28  # Starting sh5l with 300s (1) cores
% 5.10/1.28  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 3363 completed with status 0
% 5.10/1.28  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 5.10/1.28  # Preprocessing class: FMLLSMSLSSSNFFN.
% 5.10/1.28  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.10/1.28  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 5.10/1.28  # No SInE strategy applied
% 5.10/1.28  # Search class: FGHSS-SMLM00-SFFFFFNN
% 5.10/1.28  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.10/1.28  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 290s (1) cores
% 5.10/1.28  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 5.10/1.28  # Starting new_bool_3 with 266s (1) cores
% 5.10/1.28  # Starting new_bool_1 with 266s (1) cores
% 5.10/1.28  # Starting sh5l with 266s (1) cores
% 5.10/1.28  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 3374 completed with status 0
% 5.10/1.28  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 5.10/1.28  # Preprocessing class: FMLLSMSLSSSNFFN.
% 5.10/1.28  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.10/1.28  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 5.10/1.28  # No SInE strategy applied
% 5.10/1.28  # Search class: FGHSS-SMLM00-SFFFFFNN
% 5.10/1.28  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.10/1.28  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 290s (1) cores
% 5.10/1.28  # Preprocessing time       : 0.030 s
% 5.10/1.28  # Presaturation interreduction done
% 5.10/1.28  
% 5.10/1.28  # Proof found!
% 5.10/1.28  # SZS status Theorem
% 5.10/1.28  # SZS output start CNFRefutation
% See solution above
% 5.10/1.28  # Parsed axioms                        : 1156
% 5.10/1.28  # Removed by relevancy pruning/SinE    : 0
% 5.10/1.28  # Initial clauses                      : 3983
% 5.10/1.28  # Removed in clause preprocessing      : 537
% 5.10/1.28  # Initial clauses in saturation        : 3446
% 5.10/1.28  # Processed clauses                    : 5014
% 5.10/1.28  # ...of these trivial                  : 10
% 5.10/1.28  # ...subsumed                          : 11
% 5.10/1.28  # ...remaining for further processing  : 4993
% 5.10/1.28  # Other redundant clauses eliminated   : 182
% 5.10/1.28  # Clauses deleted for lack of memory   : 0
% 5.10/1.28  # Backward-subsumed                    : 21
% 5.10/1.28  # Backward-rewritten                   : 8
% 5.10/1.28  # Generated clauses                    : 602
% 5.10/1.28  # ...of the previous two non-redundant : 410
% 5.10/1.28  # ...aggressively subsumed             : 0
% 5.10/1.28  # Contextual simplify-reflections      : 40
% 5.10/1.28  # Paramodulations                      : 418
% 5.10/1.28  # Factorizations                       : 0
% 5.10/1.28  # NegExts                              : 0
% 5.10/1.28  # Equation resolutions                 : 182
% 5.10/1.28  # Disequality decompositions           : 0
% 5.10/1.28  # Total rewrite steps                  : 41
% 5.10/1.28  # ...of those cached                   : 23
% 5.10/1.28  # Propositional unsat checks           : 0
% 5.10/1.28  #    Propositional check models        : 0
% 5.10/1.28  #    Propositional check unsatisfiable : 0
% 5.10/1.28  #    Propositional clauses             : 0
% 5.10/1.28  #    Propositional clauses after purity: 0
% 5.10/1.28  #    Propositional unsat core size     : 0
% 5.10/1.28  #    Propositional preprocessing time  : 0.000
% 5.10/1.28  #    Propositional encoding time       : 0.000
% 5.10/1.28  #    Propositional solver time         : 0.000
% 5.10/1.28  #    Success case prop preproc time    : 0.000
% 5.10/1.28  #    Success case prop encoding time   : 0.000
% 5.10/1.28  #    Success case prop solver time     : 0.000
% 5.10/1.28  # Current number of processed clauses  : 1374
% 5.10/1.28  #    Positive orientable unit clauses  : 248
% 5.10/1.28  #    Positive unorientable unit clauses: 0
% 5.10/1.28  #    Negative unit clauses             : 208
% 5.10/1.28  #    Non-unit-clauses                  : 918
% 5.10/1.28  # Current number of unprocessed clauses: 2247
% 5.10/1.28  # ...number of literals in the above   : 6918
% 5.10/1.28  # Current number of archived formulas  : 0
% 5.10/1.28  # Current number of archived clauses   : 3437
% 5.10/1.28  # Clause-clause subsumption calls (NU) : 3654315
% 5.10/1.28  # Rec. Clause-clause subsumption calls : 2269311
% 5.10/1.28  # Non-unit clause-clause subsumptions  : 40
% 5.10/1.28  # Unit Clause-clause subsumption calls : 50660
% 5.10/1.28  # Rewrite failures with RHS unbound    : 0
% 5.10/1.28  # BW rewrite match attempts            : 13
% 5.10/1.28  # BW rewrite match successes           : 13
% 5.10/1.28  # Condensation attempts                : 0
% 5.10/1.28  # Condensation successes               : 0
% 5.10/1.28  # Termbank termtop insertions          : 234683
% 5.10/1.28  # Search garbage collected termcells   : 40002
% 5.10/1.28  
% 5.10/1.28  # -------------------------------------------------
% 5.10/1.28  # User time                : 0.639 s
% 5.10/1.28  # System time              : 0.025 s
% 5.10/1.28  # Total time               : 0.664 s
% 5.10/1.28  # Maximum resident set size: 11136 pages
% 5.10/1.28  
% 5.10/1.28  # -------------------------------------------------
% 5.10/1.28  # User time                : 2.870 s
% 5.10/1.28  # System time              : 0.063 s
% 5.10/1.28  # Total time               : 2.933 s
% 5.10/1.28  # Maximum resident set size: 3152 pages
% 5.10/1.28  % E---3.1 exiting
%------------------------------------------------------------------------------