TSTP Solution File: SWV090+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV090+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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 21:36:30 EDT 2023

% Result   : Theorem 0.68s 0.75s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   85
% Syntax   : Number of formulae    :  157 (  54 unt;  66 typ;   0 def)
%            Number of atoms       :  473 ( 438 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  487 ( 105   ~; 295   |;  84   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  144 (  50   >;  94   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-4 aty)
%            Number of functors    :   60 (  60 usr;  15 con; 0-7 aty)
%            Number of variables   :   32 (   3 sgn;  19   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    gt: ( $i * $i ) > $o ).

tff(decl_23,type,
    leq: ( $i * $i ) > $o ).

tff(decl_24,type,
    lt: ( $i * $i ) > $o ).

tff(decl_25,type,
    geq: ( $i * $i ) > $o ).

tff(decl_26,type,
    pred: $i > $i ).

tff(decl_27,type,
    succ: $i > $i ).

tff(decl_28,type,
    n0: $i ).

tff(decl_29,type,
    uniform_int_rnd: ( $i * $i ) > $i ).

tff(decl_30,type,
    dim: ( $i * $i ) > $i ).

tff(decl_31,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff(decl_32,type,
    a_select2: ( $i * $i ) > $i ).

tff(decl_33,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff(decl_34,type,
    a_select3: ( $i * $i * $i ) > $i ).

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

tff(decl_36,type,
    inv: $i > $i ).

tff(decl_37,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    tptp_madd: ( $i * $i ) > $i ).

tff(decl_39,type,
    tptp_msub: ( $i * $i ) > $i ).

tff(decl_40,type,
    tptp_mmul: ( $i * $i ) > $i ).

tff(decl_41,type,
    tptp_minus_1: $i ).

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

tff(decl_43,type,
    tptp_float_0_0: $i ).

tff(decl_44,type,
    n1: $i ).

tff(decl_45,type,
    plus: ( $i * $i ) > $i ).

tff(decl_46,type,
    n2: $i ).

tff(decl_47,type,
    n3: $i ).

tff(decl_48,type,
    n4: $i ).

tff(decl_49,type,
    n5: $i ).

tff(decl_50,type,
    minus: ( $i * $i ) > $i ).

tff(decl_51,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    true: $o ).

tff(decl_53,type,
    def: $i ).

tff(decl_54,type,
    use: $i ).

tff(decl_55,type,
    rho_defuse: $i ).

tff(decl_56,type,
    sigma_defuse: $i ).

tff(decl_57,type,
    u_defuse: $i ).

tff(decl_58,type,
    xinit_defuse: $i ).

tff(decl_59,type,
    xinit_mean_defuse: $i ).

tff(decl_60,type,
    epred1_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_61,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_62,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_63,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_64,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_65,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_66,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_67,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_68,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_69,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_70,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_72,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_73,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk14_3: ( $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk17_3: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_80,type,
    esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk23_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk24_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk25_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk26_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk27_4: ( $i * $i * $i * $i ) > $i ).

fof(quaternion_ds1_inuse_0002,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use )
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).

fof(sel2_update_1,axiom,
    ! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

fof(sel2_update_2,axiom,
    ! [X5,X7,X1,X17,X25] :
      ( ( X5 != X7
        & a_select2(X1,X7) = X17 )
     => a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(gt_5_4,axiom,
    gt(n5,n4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).

fof(gt_5_3,axiom,
    gt(n5,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).

fof(gt_5_2,axiom,
    gt(n5,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).

fof(gt_5_1,axiom,
    gt(n5,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).

fof(gt_5_0,axiom,
    gt(n5,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).

fof(gt_4_3,axiom,
    gt(n4,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).

fof(gt_4_2,axiom,
    gt(n4,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).

fof(gt_4_1,axiom,
    gt(n4,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).

fof(gt_4_0,axiom,
    gt(n4,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).

fof(gt_3_2,axiom,
    gt(n3,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).

fof(gt_3_1,axiom,
    gt(n3,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).

fof(gt_3_0,axiom,
    gt(n3,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).

fof(gt_2_1,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).

fof(gt_1_0,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).

fof(c_0_19,negated_conjecture,
    ~ ( ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use )
     => ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
    inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0002]) ).

fof(c_0_20,negated_conjecture,
    ( a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & ( a_select2(rho_defuse,n0) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ) ),
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

fof(c_0_21,plain,
    ! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
    inference(variable_rename,[status(thm)],[sel2_update_1]) ).

fof(c_0_22,plain,
    ! [X176,X177,X178,X179,X180] :
      ( X176 = X177
      | a_select2(X178,X177) != X179
      | a_select2(tptp_update2(X178,X176,X180),X177) = X179 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).

cnf(c_0_23,negated_conjecture,
    ( a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n2) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_32,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_33,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_34,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_37,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_38,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_39,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | a_select2(tptp_update2(X3,X1,X5),X2) = X4
    | a_select2(X3,X2) != X4 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_41,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]),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]),c_0_39])]) ).

cnf(c_0_42,plain,
    ( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
    | X2 = X4 ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ( n5 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_44,negated_conjecture,
    ( n4 = n0
    | n5 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

cnf(c_0_45,negated_conjecture,
    ( n3 = n0
    | n5 = n0
    | n4 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_44,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use ),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_42]),c_0_39])]) ).

cnf(c_0_48,negated_conjecture,
    ( n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use ),
    inference(spm,[status(thm)],[c_0_47,c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    ( n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use ),
    inference(spm,[status(thm)],[c_0_48,c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    ( n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use ),
    inference(spm,[status(thm)],[c_0_49,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_42]),c_0_39])]) ).

cnf(c_0_52,negated_conjecture,
    ( n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ),
    inference(spm,[status(thm)],[c_0_51,c_0_42]) ).

cnf(c_0_53,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
    inference(spm,[status(thm)],[c_0_52,c_0_42]) ).

cnf(c_0_54,negated_conjecture,
    ( n3 = n2
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_42]),c_0_39])]) ).

cnf(c_0_55,negated_conjecture,
    ( n5 = n3
    | n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | n3 = n2
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
    inference(spm,[status(thm)],[c_0_54,c_0_42]) ).

fof(c_0_56,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).

cnf(c_0_57,negated_conjecture,
    ( n4 = n3
    | n3 = n2
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2
    | n5 = n3
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_42]),c_0_39])]) ).

fof(c_0_58,plain,
    ! [X33] : ~ gt(X33,X33),
    inference(variable_rename,[status(thm)],[c_0_56]) ).

cnf(c_0_59,plain,
    gt(n5,n4),
    inference(split_conjunct,[status(thm)],[gt_5_4]) ).

cnf(c_0_60,negated_conjecture,
    ( n5 = n4
    | n5 = n3
    | n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | n3 = n2
    | n4 = n3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_39])]) ).

cnf(c_0_61,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_62,plain,
    gt(n5,n3),
    inference(split_conjunct,[status(thm)],[gt_5_3]) ).

cnf(c_0_63,negated_conjecture,
    ( n4 = n3
    | n3 = n2
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2
    | n5 = n3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_64,plain,
    gt(n5,n2),
    inference(split_conjunct,[status(thm)],[gt_5_2]) ).

cnf(c_0_65,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | n3 = n2
    | n4 = n3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_61]) ).

cnf(c_0_66,plain,
    gt(n5,n1),
    inference(split_conjunct,[status(thm)],[gt_5_1]) ).

cnf(c_0_67,negated_conjecture,
    ( n4 = n3
    | n3 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_61]) ).

cnf(c_0_68,plain,
    gt(n5,n0),
    inference(split_conjunct,[status(thm)],[gt_5_0]) ).

cnf(c_0_69,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2
    | n4 = n3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_61]) ).

cnf(c_0_70,plain,
    gt(n4,n3),
    inference(split_conjunct,[status(thm)],[gt_4_3]) ).

cnf(c_0_71,negated_conjecture,
    ( n4 = n3
    | n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_61]) ).

cnf(c_0_72,plain,
    gt(n4,n2),
    inference(split_conjunct,[status(thm)],[gt_4_2]) ).

cnf(c_0_73,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_61]) ).

cnf(c_0_74,plain,
    gt(n4,n1),
    inference(split_conjunct,[status(thm)],[gt_4_1]) ).

cnf(c_0_75,negated_conjecture,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_61]) ).

cnf(c_0_76,plain,
    gt(n4,n0),
    inference(split_conjunct,[status(thm)],[gt_4_0]) ).

cnf(c_0_77,negated_conjecture,
    ( n2 = n1
    | n1 = n0
    | n3 = n0
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_61]) ).

cnf(c_0_78,plain,
    gt(n3,n2),
    inference(split_conjunct,[status(thm)],[gt_3_2]) ).

cnf(c_0_79,negated_conjecture,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n3 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_61]) ).

cnf(c_0_80,plain,
    gt(n3,n1),
    inference(split_conjunct,[status(thm)],[gt_3_1]) ).

cnf(c_0_81,negated_conjecture,
    ( n2 = n1
    | n1 = n0
    | n3 = n0
    | n2 = n0
    | n3 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_61]) ).

cnf(c_0_82,plain,
    gt(n3,n0),
    inference(split_conjunct,[status(thm)],[gt_3_0]) ).

cnf(c_0_83,negated_conjecture,
    ( n2 = n0
    | n3 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_61]) ).

cnf(c_0_84,plain,
    gt(n2,n1),
    inference(split_conjunct,[status(thm)],[gt_2_1]) ).

cnf(c_0_85,negated_conjecture,
    ( n2 = n1
    | n1 = n0
    | n2 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_61]) ).

cnf(c_0_86,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

cnf(c_0_87,negated_conjecture,
    ( n2 = n0
    | n1 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_61]) ).

cnf(c_0_88,plain,
    gt(n1,n0),
    inference(split_conjunct,[status(thm)],[gt_1_0]) ).

cnf(c_0_89,negated_conjecture,
    n1 = n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_61]) ).

cnf(c_0_90,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_61]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV090+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n011.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 05:35:26 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.59  start to proof: theBenchmark
% 0.68/0.75  % Version  : CSE_E---1.5
% 0.68/0.75  % Problem  : theBenchmark.p
% 0.68/0.75  % Proof found
% 0.68/0.75  % SZS status Theorem for theBenchmark.p
% 0.68/0.75  % SZS output start Proof
% See solution above
% 0.68/0.76  % Total time : 0.154000 s
% 0.68/0.76  % SZS output end Proof
% 0.68/0.76  % Total time : 0.159000 s
%------------------------------------------------------------------------------