TSTP Solution File: HWV011-3 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : HWV011-3 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n020.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 : Thu Aug 31 02:00:01 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   53
% Syntax   : Number of formulae    :   59 (   7 unt;  49 typ;   0 def)
%            Number of atoms       :   13 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   63 (  41   >;  22   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   46 (  46 usr;   8 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    fwork_DOTfifo_DOTrtl_DOTmem_: $i > $i ).

tff(decl_23,type,
    f__length_: $i > $i ).

tff(decl_24,type,
    fwork_DOTfifo_DOTrtl_DOTfifo__length_: $i ).

tff(decl_25,type,
    n1: $i ).

tff(decl_26,type,
    f_SUB_: ( $i * $i ) > $i ).

tff(decl_27,type,
    f_ADD_: ( $i * $i ) > $i ).

tff(decl_28,type,
    fwork_DOTfifo_DOTrtl_DOTdata__out_: $i > $i ).

tff(decl_29,type,
    fwork_DOTfifo_DOTrtl_DOTfifo__width_: $i ).

tff(decl_30,type,
    fwork_DOTfifo_DOTrtl_DOTdata__in_: $i > $i ).

tff(decl_31,type,
    fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).

tff(decl_32,type,
    fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).

tff(decl_33,type,
    fwork_DOTfifo_DOTrtl_DOTfull_: $i > $i ).

tff(decl_34,type,
    p__pred_: $i > $o ).

tff(decl_35,type,
    fwork_DOTfifo_DOTrtl_DOTempty_: $i > $i ).

tff(decl_36,type,
    n0: $i ).

tff(decl_37,type,
    fwork_DOTfifo_DOTrtl_DOTrd__level_: $i > $i ).

tff(decl_38,type,
    fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).

tff(decl_39,type,
    fwork_DOTfifo_DOTrtl_DOTwr__level_: $i > $i ).

tff(decl_40,type,
    fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).

tff(decl_41,type,
    fwork_DOTfifo_DOTrtl_DOTrd__error_: $i > $i ).

tff(decl_42,type,
    f__index_: ( $i * $i ) > $i ).

tff(decl_43,type,
    p_LES_EQU_: ( $i * $i ) > $o ).

tff(decl_44,type,
    fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).

tff(decl_45,type,
    fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).

tff(decl_46,type,
    fstd_DOTstandard_DOTmod_: ( $i * $i ) > $i ).

tff(decl_47,type,
    def_89: ( $i * $i ) > $o ).

tff(decl_48,type,
    y_105: $i > $i ).

tff(decl_49,type,
    f__cons_: ( $i * $i ) > $i ).

tff(decl_50,type,
    f__empty_: $i ).

tff(decl_51,type,
    f__concat_: ( $i * $i ) > $i ).

tff(decl_52,type,
    f__slice_: ( $i * $i * $i ) > $i ).

tff(decl_53,type,
    f__others_: $i > $i ).

tff(decl_54,type,
    length: $i > $i ).

tff(decl_55,type,
    f__and_: ( $i * $i ) > $i ).

tff(decl_56,type,
    f__or_: ( $i * $i ) > $i ).

tff(decl_57,type,
    f__xor_: ( $i * $i ) > $i ).

tff(decl_58,type,
    f__nand_: ( $i * $i ) > $i ).

tff(decl_59,type,
    f__nor_: ( $i * $i ) > $i ).

tff(decl_60,type,
    f__xnor_: ( $i * $i ) > $i ).

tff(decl_61,type,
    f__not_: $i > $i ).

tff(decl_62,type,
    f__true_: $i ).

tff(decl_63,type,
    f__false_: $i ).

tff(decl_64,type,
    f__equiv_: ( $i * $i ) > $i ).

tff(decl_65,type,
    f__equal_: ( $i * $i ) > $i ).

tff(decl_66,type,
    f__lt_: ( $i * $i ) > $i ).

tff(decl_67,type,
    f__leq_: ( $i * $i ) > $i ).

tff(decl_68,type,
    f__gt_: ( $i * $i ) > $i ).

tff(decl_69,type,
    f__geq_: ( $i * $i ) > $i ).

tff(decl_70,type,
    t_206: $i ).

cnf(axiom_6,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_6) ).

cnf(axiom_5,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).

cnf(quest_1,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

cnf(quest_2,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

cnf(c_0_4,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    axiom_6 ).

cnf(c_0_5,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    axiom_5 ).

cnf(c_0_6,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
    | fwork_DOTfifo_DOTrtl_DOTlevel_(X1) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
    quest_1 ).

cnf(c_0_8,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
    quest_2 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : HWV011-3 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n020.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   : Tue Aug 29 14:59:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.56  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.020000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.026000 s
%------------------------------------------------------------------------------