TSTP Solution File: SWV090+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV090+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 22:31:04 EDT 2023

% Result   : Theorem 6.45s 1.54s
% Output   : CNFRefutation 6.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  162 (  86 unt;   0 def)
%            Number of atoms       :  747 ( 661 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  813 ( 228   ~; 481   |; 100   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-3 aty)
%            Number of variables   :   66 (   2 sgn;  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f48,axiom,
    ! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).

fof(f49,axiom,
    ! [X4,X6,X0,X16,X24] :
      ( ( a_select2(X0,X6) = X16
        & X4 != X6 )
     => a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_2) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(rho_defuse,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),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),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),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),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),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),n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(rho_defuse,n0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,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),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),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),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),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),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),n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f55,axiom,
    gt(n5,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).

fof(f62,axiom,
    gt(n4,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).

fof(f63,axiom,
    gt(n5,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).

fof(f64,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

fof(f66,axiom,
    gt(n3,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).

fof(f67,axiom,
    gt(n4,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).

fof(f68,axiom,
    gt(n5,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).

fof(f69,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).

fof(f70,axiom,
    gt(n3,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).

fof(f71,axiom,
    gt(n4,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).

fof(f72,axiom,
    gt(n5,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).

fof(f73,axiom,
    gt(n3,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).

fof(f74,axiom,
    gt(n4,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).

fof(f75,axiom,
    gt(n5,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).

fof(f104,plain,
    ! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(rectify,[],[f48]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( a_select2(X2,X1) = X3
        & X0 != X1 )
     => a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(rectify,[],[f49]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | a_select2(X2,X1) != X3
      | X0 = X1 ),
    inference(ennf_transformation,[],[f105]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | a_select2(X2,X1) != X3
      | X0 = X1 ),
    inference(flattening,[],[f144]) ).

fof(f148,plain,
    ( ( 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 != 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),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),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),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),n0)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(sigma_defuse,n3)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n0) )
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f149,plain,
    ( ( 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 != 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),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),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),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),n0)
      | use != a_select2(xinit_defuse,n5)
      | use != a_select2(xinit_defuse,n4)
      | use != a_select2(xinit_defuse,n3)
      | use != a_select3(u_defuse,n2,n0)
      | use != a_select3(u_defuse,n1,n0)
      | use != a_select3(u_defuse,n0,n0)
      | use != a_select2(sigma_defuse,n5)
      | use != a_select2(sigma_defuse,n4)
      | use != a_select2(sigma_defuse,n3)
      | use != a_select2(sigma_defuse,n2)
      | use != a_select2(sigma_defuse,n1)
      | use != a_select2(sigma_defuse,n0)
      | use != a_select2(rho_defuse,n2)
      | use != a_select2(rho_defuse,n1)
      | use != a_select2(rho_defuse,n0) )
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(flattening,[],[f148]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f218,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f320,plain,
    ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f104]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | a_select2(X2,X1) != X3
      | X0 = X1 ),
    inference(cnf_transformation,[],[f145]) ).

fof(f326,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f149]) ).

fof(f327,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f149]) ).

fof(f328,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f149]) ).

fof(f329,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f149]) ).

fof(f330,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f149]) ).

fof(f331,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f149]) ).

fof(f332,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f149]) ).

fof(f333,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f149]) ).

fof(f334,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f149]) ).

fof(f335,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f149]) ).

fof(f336,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f149]) ).

fof(f337,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f149]) ).

fof(f338,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f149]) ).

fof(f339,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f149]) ).

fof(f340,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f149]) ).

fof(f341,plain,
    ( 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 != 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),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),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),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),n0)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select2(sigma_defuse,n0)
    | use != a_select2(rho_defuse,n2)
    | use != a_select2(rho_defuse,n1)
    | use != a_select2(rho_defuse,n0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f342,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f55]) ).

fof(f349,plain,
    gt(n4,n0),
    inference(cnf_transformation,[],[f62]) ).

fof(f350,plain,
    gt(n5,n0),
    inference(cnf_transformation,[],[f63]) ).

fof(f351,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f64]) ).

fof(f352,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f353,plain,
    gt(n3,n0),
    inference(cnf_transformation,[],[f66]) ).

fof(f354,plain,
    gt(n4,n1),
    inference(cnf_transformation,[],[f67]) ).

fof(f355,plain,
    gt(n5,n1),
    inference(cnf_transformation,[],[f68]) ).

fof(f356,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f69]) ).

fof(f357,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f70]) ).

fof(f358,plain,
    gt(n4,n2),
    inference(cnf_transformation,[],[f71]) ).

fof(f359,plain,
    gt(n5,n2),
    inference(cnf_transformation,[],[f72]) ).

fof(f360,plain,
    gt(n3,n2),
    inference(cnf_transformation,[],[f73]) ).

fof(f361,plain,
    gt(n4,n3),
    inference(cnf_transformation,[],[f74]) ).

fof(f362,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f75]) ).

fof(f402,plain,
    ! [X2,X0,X1,X4] :
      ( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
      | X0 = X1 ),
    inference(equality_resolution,[],[f321]) ).

cnf(c_49,plain,
    ( X0 = X1
    | gt(X0,X1)
    | gt(X1,X0) ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_51,plain,
    ~ gt(X0,X0),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_151,plain,
    a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f320]) ).

cnf(c_152,plain,
    ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f402]) ).

cnf(c_157,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),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),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),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
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,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(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != 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_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use ),
    inference(cnf_transformation,[],[f341]) ).

cnf(c_158,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[],[f340]) ).

cnf(c_159,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[],[f339]) ).

cnf(c_160,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[],[f338]) ).

cnf(c_161,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f337]) ).

cnf(c_162,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f336]) ).

cnf(c_163,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f335]) ).

cnf(c_164,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[],[f334]) ).

cnf(c_165,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[],[f333]) ).

cnf(c_166,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[],[f332]) ).

cnf(c_167,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[],[f331]) ).

cnf(c_168,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[],[f330]) ).

cnf(c_169,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[],[f329]) ).

cnf(c_170,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[],[f328]) ).

cnf(c_171,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[],[f327]) ).

cnf(c_172,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[],[f326]) ).

cnf(c_173,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f342]) ).

cnf(c_180,plain,
    gt(n4,n0),
    inference(cnf_transformation,[],[f349]) ).

cnf(c_181,plain,
    gt(n5,n0),
    inference(cnf_transformation,[],[f350]) ).

cnf(c_182,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f351]) ).

cnf(c_183,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_184,plain,
    gt(n3,n0),
    inference(cnf_transformation,[],[f353]) ).

cnf(c_185,plain,
    gt(n4,n1),
    inference(cnf_transformation,[],[f354]) ).

cnf(c_186,plain,
    gt(n5,n1),
    inference(cnf_transformation,[],[f355]) ).

cnf(c_187,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f356]) ).

cnf(c_188,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f357]) ).

cnf(c_189,plain,
    gt(n4,n2),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_190,plain,
    gt(n5,n2),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_191,plain,
    gt(n3,n2),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_192,plain,
    gt(n4,n3),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_193,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_206,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_237,plain,
    ( n0 = n0
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_295,plain,
    ( 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
    | 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),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),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),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 ),
    inference(global_subsumption_just,[status(thm)],[c_157,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_160,c_159,c_158,c_163,c_162,c_161,c_157]) ).

cnf(c_296,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),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),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),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(renaming,[status(thm)],[c_295]) ).

cnf(c_750,plain,
    ( 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),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),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(backward_subsumption_resolution,[status(thm)],[c_296,c_151]) ).

cnf(c_5871,plain,
    ( X0 != X1
    | X2 != X3
    | ~ gt(X1,X3)
    | gt(X0,X2) ),
    theory(equality) ).

cnf(c_9965,plain,
    ( X0 != n4
    | X1 != n0
    | ~ gt(n4,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5871]) ).

cnf(c_9966,plain,
    ( n0 != n0
    | n0 != n4
    | ~ gt(n4,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9965]) ).

cnf(c_9967,plain,
    ( X0 != n5
    | X1 != n0
    | ~ gt(n5,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5871]) ).

cnf(c_9968,plain,
    ( n0 != n0
    | n0 != n5
    | ~ gt(n5,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9967]) ).

cnf(c_9971,plain,
    ( X0 != n2
    | X1 != n0
    | ~ gt(n2,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5871]) ).

cnf(c_9972,plain,
    ( n0 != n0
    | n0 != n2
    | ~ gt(n2,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9971]) ).

cnf(c_9973,plain,
    ( X0 != n3
    | X1 != n0
    | ~ gt(n3,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5871]) ).

cnf(c_9974,plain,
    ( n0 != n0
    | n0 != n3
    | ~ gt(n3,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9973]) ).

cnf(c_11150,plain,
    ( 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),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
    | n1 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_750]) ).

cnf(c_11796,plain,
    ( 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
    | 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
    | n1 = n5
    | n0 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11150]) ).

cnf(c_11804,plain,
    ( n1 = n5
    | 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
    | 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
    | 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),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),n2) != use ),
    inference(global_subsumption_just,[status(thm)],[c_11796,c_181,c_206,c_237,c_9968,c_11796]) ).

cnf(c_11805,plain,
    ( 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
    | 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
    | n1 = n5 ),
    inference(renaming,[status(thm)],[c_11804]) ).

cnf(c_11818,plain,
    ( 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
    | 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
    | 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
    | n1 = n5
    | n2 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11805]) ).

cnf(c_11840,plain,
    ( 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
    | 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
    | 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
    | 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
    | n1 = n5
    | n2 = n5
    | n3 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11818]) ).

cnf(c_11865,plain,
    ( 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
    | 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
    | 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
    | 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
    | 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),n4) != use
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11840]) ).

cnf(c_11866,plain,
    ( 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
    | 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
    | 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
    | 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
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11865,c_151]) ).

cnf(c_11897,plain,
    ( 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
    | 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
    | 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
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | n1 = n4
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11866]) ).

cnf(c_11925,plain,
    ( 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
    | 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
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | n1 = n4
    | n1 = n5
    | n0 = n4
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11897]) ).

cnf(c_11936,plain,
    ( n1 = n5
    | n1 = n4
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != 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
    | 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
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(global_subsumption_just,[status(thm)],[c_11925,c_180,c_206,c_237,c_9966,c_11925]) ).

cnf(c_11937,plain,
    ( 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
    | 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
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | n1 = n4
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(renaming,[status(thm)],[c_11936]) ).

cnf(c_11956,plain,
    ( 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
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11937]) ).

cnf(c_11987,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11956]) ).

cnf(c_11988,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11987,c_151]) ).

cnf(c_12250,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11988]) ).

cnf(c_12284,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n0 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_12250]) ).

cnf(c_12303,plain,
    ( n1 = n5
    | n1 = n4
    | n1 = n3
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(global_subsumption_just,[status(thm)],[c_12284,c_184,c_206,c_237,c_9974,c_12284]) ).

cnf(c_12304,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(renaming,[status(thm)],[c_12303]) ).

cnf(c_12327,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2) != use
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_12304]) ).

cnf(c_12328,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12327,c_151]) ).

cnf(c_12362,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1) != use
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_12328]) ).

cnf(c_12363,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12362,c_151]) ).

cnf(c_12414,plain,
    ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n0 = n2
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_12363]) ).

cnf(c_12427,plain,
    ( n1 = n5
    | n1 = n4
    | n1 = n3
    | n1 = n2
    | a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(global_subsumption_just,[status(thm)],[c_12414,c_183,c_206,c_237,c_9972,c_12414]) ).

cnf(c_12428,plain,
    ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(renaming,[status(thm)],[c_12427]) ).

cnf(c_12451,plain,
    ( a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0) != use
    | n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_12428]) ).

cnf(c_12452,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12451,c_151]) ).

cnf(c_12526,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | gt(n4,n4) ),
    inference(superposition,[status(thm)],[c_12452,c_173]) ).

cnf(c_12530,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12526,c_51]) ).

cnf(c_12596,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | gt(n3,n3) ),
    inference(superposition,[status(thm)],[c_12530,c_193]) ).

cnf(c_12615,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12596,c_51]) ).

cnf(c_13710,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n3 = n4
    | gt(n2,n2) ),
    inference(superposition,[status(thm)],[c_12615,c_190]) ).

cnf(c_13727,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n3 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13710,c_51]) ).

cnf(c_13800,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4
    | n3 = n4
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_13727,c_186]) ).

cnf(c_13815,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4
    | n3 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13800,c_51]) ).

cnf(c_13883,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4
    | gt(n3,n3) ),
    inference(superposition,[status(thm)],[c_13815,c_192]) ).

cnf(c_13892,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13883,c_51]) ).

cnf(c_13951,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | gt(n2,n2) ),
    inference(superposition,[status(thm)],[c_13892,c_189]) ).

cnf(c_13959,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13951,c_51]) ).

cnf(c_14016,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n2 = n3
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_13959,c_185]) ).

cnf(c_14023,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n2 = n3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14016,c_51]) ).

cnf(c_14093,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | gt(n2,n2) ),
    inference(superposition,[status(thm)],[c_14023,c_191]) ).

cnf(c_14100,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14093,c_51]) ).

cnf(c_14164,plain,
    ( n1 = n0
    | n1 = n2
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_14100,c_188]) ).

cnf(c_14170,plain,
    ( n1 = n0
    | n1 = n2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14164,c_51]) ).

cnf(c_14242,plain,
    ( n1 = n0
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_14170,c_187]) ).

cnf(c_14249,plain,
    n1 = n0,
    inference(forward_subsumption_resolution,[status(thm)],[c_14242,c_51]) ).

cnf(c_14354,plain,
    gt(n0,n0),
    inference(demodulation,[status(thm)],[c_182,c_14249]) ).

cnf(c_14364,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_14354,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SWV090+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15  % Command  : run_iprover %s %d THM
% 0.10/0.34  % Computer : n025.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Tue Aug 29 05:46:40 EDT 2023
% 0.10/0.34  % CPUTime  : 
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.45/1.54  % SZS status Started for theBenchmark.p
% 6.45/1.54  % SZS status Theorem for theBenchmark.p
% 6.45/1.54  
% 6.45/1.54  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.45/1.54  
% 6.45/1.54  ------  iProver source info
% 6.45/1.54  
% 6.45/1.54  git: date: 2023-05-31 18:12:56 +0000
% 6.45/1.54  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.45/1.54  git: non_committed_changes: false
% 6.45/1.54  git: last_make_outside_of_git: false
% 6.45/1.54  
% 6.45/1.54  ------ Parsing...
% 6.45/1.54  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.45/1.54  
% 6.45/1.54  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 6.45/1.54  
% 6.45/1.54  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 6.45/1.54  
% 6.45/1.54  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.45/1.54  ------ Proving...
% 6.45/1.54  ------ Problem Properties 
% 6.45/1.54  
% 6.45/1.54  
% 6.45/1.54  clauses                                 156
% 6.45/1.54  conjectures                             15
% 6.45/1.54  EPR                                     36
% 6.45/1.54  Horn                                    106
% 6.45/1.54  unary                                   61
% 6.45/1.54  binary                                  34
% 6.45/1.54  lits                                    499
% 6.45/1.54  lits eq                                 133
% 6.45/1.54  fd_pure                                 0
% 6.45/1.54  fd_pseudo                               0
% 6.45/1.54  fd_cond                                 6
% 6.45/1.54  fd_pseudo_cond                          4
% 6.45/1.54  AC symbols                              0
% 6.45/1.54  
% 6.45/1.54  ------ Schedule dynamic 5 is on 
% 6.45/1.54  
% 6.45/1.54  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.45/1.54  
% 6.45/1.54  
% 6.45/1.54  ------ 
% 6.45/1.54  Current options:
% 6.45/1.54  ------ 
% 6.45/1.54  
% 6.45/1.54  
% 6.45/1.54  
% 6.45/1.54  
% 6.45/1.54  ------ Proving...
% 6.45/1.54  
% 6.45/1.54  
% 6.45/1.54  % SZS status Theorem for theBenchmark.p
% 6.45/1.54  
% 6.45/1.54  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.45/1.54  
% 6.45/1.55  
%------------------------------------------------------------------------------