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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : HWV093+1 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:49:45 PM UTC 2026

% Result   : Theorem 0.67s 0.79s
% Output   : CNFRefutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   48 (  13 unt;   0 def)
%            Number of atoms       :  118 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  120 (  50   ~;  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   :   43 (   7 sgn  26   !;   0   ?)

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

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

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

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

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

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

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

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

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

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

fof(writeBinaryOperatorShiftedRanges_79,axiom,
    ! [X2] :
      ( v999(X2)
    <=> ( v1000(X2,bitIndex1)
        & v1000(X2,bitIndex0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.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,
    ! [X14] :
      ( ( v1010(X14)
        | ~ v1000(X14,bitIndex1) )
      & ( v1010(X14)
        | ~ v1000(X14,bitIndex0) )
      & ( v1000(X14,bitIndex1)
        | v1000(X14,bitIndex0)
        | ~ 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_13,plain,
    ( $false
    | v1000(X1,bitIndex1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X2] : ~ v1007(X2,bitIndex5),
    inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_3]) ).

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

fof(c_0_16,plain,
    ! [X2] :
      ( ~ v4(X2)
    <=> v995(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_113]) ).

fof(c_0_17,plain,
    ! [X13] :
      ( ( v996(X13)
        | ~ v1010(X13)
        | ~ v998(X13) )
      & ( ~ v996(X13)
        | v1010(X13) )
      & ( ~ v996(X13)
        | v998(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_18,plain,
    ( ~ v1000(X1,bitIndex1)
    | v1010(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    v1000(X1,bitIndex1),
    inference(cn,[status(thm)],[c_0_13]) ).

fof(c_0_20,plain,
    ! [X2] :
      ( ~ v998(X2)
    <=> v999(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_111]) ).

fof(c_0_21,plain,
    ! [X19] :
      ( ( v1001(X19)
        | ~ v1007(X19,bitIndex5)
        | ~ v1003(X19) )
      & ( ~ v1001(X19)
        | v1007(X19,bitIndex5) )
      & ( ~ v1001(X19)
        | v1003(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_22,plain,
    ! [X27] : ~ v1007(X27,bitIndex5),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).

fof(c_0_23,plain,
    ! [X2] :
      ( ~ v995(X2)
    <=> v996(X2) ),
    inference(fof_simplification,[status(thm)],[writeUnaryOperator_112]) ).

fof(c_0_24,negated_conjecture,
    ( ~ v4(esk1_0)
    & reachableState(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).

fof(c_0_25,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_16])])]) ).

cnf(c_0_26,plain,
    ( ~ v1010(X1)
    | ~ v998(X1)
    | v996(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,plain,
    v1010(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

fof(c_0_28,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_20])])]) ).

fof(c_0_29,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_30,plain,
    ( ~ v1001(X1)
    | v1007(X1,bitIndex5) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    ~ v1007(X1,bitIndex5),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_32,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_23])])]) ).

cnf(c_0_33,negated_conjecture,
    ~ v4(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    ( v995(X1)
    | v4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_35,plain,
    ! [X16] :
      ( ( v999(X16)
        | ~ v1000(X16,bitIndex1)
        | ~ v1000(X16,bitIndex0) )
      & ( ~ v999(X16)
        | v1000(X16,bitIndex1) )
      & ( ~ v999(X16)
        | v1000(X16,bitIndex0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_79])])])]) ).

cnf(c_0_36,plain,
    ( ~ v998(X1)
    | v996(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_37,plain,
    ( v999(X1)
    | v998(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    ( ~ v1000(X1,bitIndex0)
    | v1001(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    ~ v1001(X1),
    inference(sr,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    ( ~ v995(X1)
    | ~ v996(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    v995(esk1_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_42,plain,
    ( ~ v999(X1)
    | v1000(X1,bitIndex0) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,plain,
    ( v996(X1)
    | v999(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,plain,
    ~ v1000(X1,bitIndex0),
    inference(sr,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    ~ v996(esk1_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,plain,
    v996(X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV093+1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n020.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 20 21:20:33 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44  Running first-order theorem proving
% 0.13/0.44  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
% 0.67/0.79  % Version: 3.5.1
% 0.67/0.79  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.67/0.79  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.79  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.67/0.79  % Starting new_bool_3 with 300s (1) cores
% 0.67/0.79  % Starting new_bool_1 with 300s (1) cores
% 0.67/0.79  % Starting sh5l with 300s (1) cores
% 0.67/0.79  % new_bool_3 with pid 1228767 completed with status 9
% 0.67/0.79  % new_bool_1 with pid 1228768 completed with status 9
% 0.67/0.79  % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 1228766 completed with status 0
% 0.67/0.79  % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 0.67/0.79  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.67/0.79  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.79  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.67/0.79  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.67/0.79  % No SInE strategy applied
% 0.67/0.79  % Search class: FGHSS-SMLM00-SFFFFFNN
% 0.67/0.79  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.79  % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.79  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 0.67/0.79  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 266s (1) cores
% 0.67/0.79  % Starting new_bool_3 with 266s (1) cores
% 0.67/0.79  % Starting new_bool_1 with 266s (1) cores
% 0.67/0.79  % G-E--_300_C18_F1_SE_CS_SP_S0Y with pid 1228799 completed with status 0
% 0.67/0.79  % Result found by G-E--_300_C18_F1_SE_CS_SP_S0Y
% 0.67/0.79  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.67/0.79  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.67/0.79  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.67/0.79  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.67/0.79  % No SInE strategy applied
% 0.67/0.79  % Search class: FGHSS-SMLM00-SFFFFFNN
% 0.67/0.79  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.67/0.79  % Starting SubtermCWHack with 136s (1) cores
% 0.67/0.79  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 0.67/0.79  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 266s (1) cores
% 0.67/0.79  % Preprocessing time       : 0.030 s
% 0.67/0.79  
% 0.67/0.79  % Proof found!
% 0.67/0.79  % SZS status Theorem
% 0.67/0.79  % SZS output start CNFRefutation
% See solution above
% 0.67/0.79  % Parsed axioms                        : 1156
% 0.67/0.79  % Removed by relevancy pruning/SinE    : 0
% 0.67/0.79  % Initial clauses                      : 3983
% 0.67/0.79  % Removed in clause preprocessing      : 537
% 0.67/0.79  % Initial clauses in saturation        : 3446
% 0.67/0.79  % Processed clauses                    : 2193
% 0.67/0.79  % ...of these trivial                  : 5
% 0.67/0.79  % ...subsumed                          : 15
% 0.67/0.79  % ...remaining for further processing  : 2173
% 0.67/0.79  % Other redundant clauses eliminated   : 182
% 0.67/0.79  % Clauses deleted for lack of memory   : 0
% 0.67/0.79  % Backward-subsumed                    : 18
% 0.67/0.79  % Backward-rewritten                   : 7
% 0.67/0.79  % Generated clauses                    : 1083
% 0.67/0.79  % ...of the previous two non-redundant : 732
% 0.67/0.79  % ...aggressively subsumed             : 0
% 0.67/0.79  % Contextual simplify-reflections      : 13
% 0.67/0.79  % Paramodulations                      : 901
% 0.67/0.79  % Factorizations                       : 0
% 0.67/0.79  % NegExts                              : 0
% 0.67/0.79  % Equation resolutions                 : 182
% 0.67/0.79  % Disequality decompositions           : 0
% 0.67/0.79  % Total rewrite steps                  : 43
% 0.67/0.79  % ...of those cached                   : 20
% 0.67/0.79  % Propositional unsat checks           : 0
% 0.67/0.79  %    Propositional check models        : 0
% 0.67/0.79  %    Propositional check unsatisfiable : 0
% 0.67/0.79  %    Propositional clauses             : 0
% 0.67/0.79  %    Propositional clauses after purity: 0
% 0.67/0.79  %    Propositional unsat core size     : 0
% 0.67/0.79  %    Propositional preprocessing time  : 0.000
% 0.67/0.79  %    Propositional encoding time       : 0.000
% 0.67/0.79  %    Propositional solver time         : 0.000
% 0.67/0.79  %    Success case prop preproc time    : 0.000
% 0.67/0.79  %    Success case prop encoding time   : 0.000
% 0.67/0.79  %    Success case prop solver time     : 0.000
% 0.67/0.79  % Current number of processed clauses  : 1966
% 0.67/0.79  %    Positive orientable unit clauses  : 244
% 0.67/0.79  %    Positive unorientable unit clauses: 0
% 0.67/0.79  %    Negative unit clauses             : 209
% 0.67/0.79  %    Non-unit-clauses                  : 1513
% 0.67/0.79  % Current number of unprocessed clauses: 1982
% 0.67/0.79  % ...number of literals in the above   : 6403
% 0.67/0.79  % Current number of archived formulas  : 0
% 0.67/0.79  % Current number of archived clauses   : 25
% 0.67/0.79  % Clause-clause subsumption calls (NU) : 567348
% 0.67/0.79  % Rec. Clause-clause subsumption calls : 530450
% 0.67/0.79  % Non-unit clause-clause subsumptions  : 23
% 0.67/0.79  % Unit Clause-clause subsumption calls : 49239
% 0.67/0.79  % Rewrite failures with RHS unbound    : 0
% 0.67/0.79  % BW rewrite match attempts            : 9
% 0.67/0.79  % BW rewrite match successes           : 9
% 0.67/0.79  % Condensation attempts                : 0
% 0.67/0.79  % Condensation successes               : 0
% 0.67/0.79  % Termbank termtop insertions          : 220816
% 0.67/0.79  % Search garbage collected termcells   : 40031
% 0.67/0.79  
% 0.67/0.79  % -------------------------------------------------
% 0.67/0.79  % User time                : 0.263 s
% 0.67/0.79  % System time              : 0.030 s
% 0.67/0.79  % Total time               : 0.293 s
% 0.67/0.79  % Maximum resident set size: 12804 pages
% 0.67/0.79  
% 0.67/0.79  % -------------------------------------------------
% 0.67/0.79  % User time                : 0.944 s
% 0.67/0.79  % System time              : 0.200 s
% 0.67/0.79  % Total time               : 1.145 s
% 0.67/0.79  % Maximum resident set size: 6400 pages
% 0.67/0.79  % E exiting
%------------------------------------------------------------------------------