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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:16:24 PM UTC 2026

% Result   : Theorem 3.22s 1.19s
% Output   : CNFRefutation 3.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   57
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  176 (  92 unt;   0 def)
%            Number of atoms       :  769 ( 661 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  837 ( 244   ~; 489   |; 100   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-3 aty)
%            Number of variables   :   81 (   0 sgn  81   !;   0   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',totality) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

fof(f30,axiom,
    ! [X0] : plus(n1,X0) = succ(X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

fof(f48,axiom,
    ! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

fof(f49,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( a_select2(X2,X1) = X3
        & X0 != X1 )
     => a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

fof(f53,conjecture,
    ( ( 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) = use ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).

fof(f54,negated_conjecture,
    ~ ( ( 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) = use ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f84,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).

fof(f87,plain,
    ( 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
    & ( 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(ennf_transformation,[],[f54]) ).

fof(f88,plain,
    ( 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
    & ( 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(flattening,[],[f87]) ).

fof(f93,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(flattening,[],[f93]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,X1)
        | gt(succ(X1),X0) )
      & ( ~ gt(succ(X1),X0)
        | leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f117,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f88]) ).

fof(f118,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f88]) ).

fof(f119,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f88]) ).

fof(f120,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f88]) ).

fof(f121,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f88]) ).

fof(f122,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f88]) ).

fof(f123,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f88]) ).

fof(f124,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f88]) ).

fof(f125,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f88]) ).

fof(f126,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f88]) ).

fof(f127,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f88]) ).

fof(f128,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f88]) ).

fof(f129,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f88]) ).

fof(f130,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f88]) ).

fof(f131,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f88]) ).

fof(f132,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,[],[f88]) ).

fof(f137,plain,
    ! [X2,X3,X0,X1,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f138,plain,
    ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f48]) ).

fof(f139,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

fof(f145,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f70]) ).

fof(f146,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f69]) ).

fof(f147,plain,
    gt(n5,n1),
    inference(cnf_transformation,[],[f68]) ).

fof(f148,plain,
    gt(n4,n1),
    inference(cnf_transformation,[],[f67]) ).

fof(f151,plain,
    gt(n3,n2),
    inference(cnf_transformation,[],[f73]) ).

fof(f152,plain,
    gt(n5,n2),
    inference(cnf_transformation,[],[f72]) ).

fof(f153,plain,
    gt(n4,n2),
    inference(cnf_transformation,[],[f71]) ).

fof(f154,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f158,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f75]) ).

fof(f159,plain,
    gt(n4,n3),
    inference(cnf_transformation,[],[f74]) ).

fof(f160,plain,
    gt(n3,n0),
    inference(cnf_transformation,[],[f66]) ).

fof(f165,plain,
    gt(n4,n0),
    inference(cnf_transformation,[],[f62]) ).

fof(f167,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f55]) ).

fof(f171,plain,
    gt(n5,n0),
    inference(cnf_transformation,[],[f63]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | gt(succ(X1),X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f184,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f186,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f189,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f195,plain,
    n1 = plus(n1,n0),
    inference(definition_unfolding,[],[f139,f189]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | gt(plus(n1,X1),X0) ),
    inference(definition_unfolding,[],[f178,f189]) ).

fof(f217,plain,
    ! [X2,X0,X1,X4] :
      ( X0 = X1
      | a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
    inference(equality_resolution,[],[f137]) ).

tcf(c_49,negated_conjecture,
    ( ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != 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_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,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 ) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_50,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[],[f131]) ).

tcf(c_51,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[],[f130]) ).

tcf(c_52,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[],[f129]) ).

tcf(c_53,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[],[f128]) ).

tcf(c_54,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[],[f127]) ).

tcf(c_55,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[],[f126]) ).

tcf(c_56,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[],[f125]) ).

tcf(c_57,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[],[f124]) ).

tcf(c_58,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[],[f123]) ).

tcf(c_59,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f122]) ).

tcf(c_60,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f121]) ).

tcf(c_61,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f120]) ).

tcf(c_62,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[],[f119]) ).

tcf(c_63,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[],[f118]) ).

tcf(c_64,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[],[f117]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3) ) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f138]) ).

tcf(c_71,plain,
    plus(n1,n0) = n1,
    inference(cnf_transformation,[],[f195]) ).

tcf(c_77,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_78,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_79,plain,
    gt(n5,n1),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_80,plain,
    gt(n4,n1),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_83,plain,
    gt(n3,n2),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_84,plain,
    gt(n5,n2),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_85,plain,
    gt(n4,n2),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_86,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_90,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_91,plain,
    gt(n4,n3),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_92,plain,
    gt(n3,n0),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_97,plain,
    gt(n4,n0),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_99,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_103,plain,
    gt(n5,n0),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_111,plain,
    ! [X0: $i,X1: $i] :
      ( gt(plus(n1,X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_116,plain,
    ! [X0: $i] : leq(X0,X0),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_118,plain,
    ! [X0: $i] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X1,X0)
      | gt(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_126,plain,
    leq(n1,n1),
    inference(instantiation,[status(thm)],[c_116]) ).

tcf(c_127,plain,
    ~ gt(n1,n1),
    inference(instantiation,[status(thm)],[c_118]) ).

tcf(c_133,plain,
    ( gt(n1,n1)
    | ( n1 = n1 ) ),
    inference(instantiation,[status(thm)],[c_120]) ).

tcf(c_150,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),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(global_subsumption_just,[status(thm)],[c_49,c_64,c_63,c_62,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_61,c_60,c_59,c_49]) ).

tcf(c_151,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),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 ) ),
    inference(renaming,[status(thm)],[c_150]) ).

tcf(c_370,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(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 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_151,c_70]) ).

tcf(c_734,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( leq(X0,X2)
      | ~ leq(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( gt(X0,X2)
      | ~ gt(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1823,plain,
    ! [X0: $i] :
      ( gt(n1,X0)
      | ~ leq(X0,n0) ),
    inference(superposition,[status(thm)],[c_71,c_111]) ).

tcf(c_1855,plain,
    ( gt(n1,n1)
    | ~ leq(n1,n0) ),
    inference(instantiation,[status(thm)],[c_1823]) ).

tcf(c_1986,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(X0,n0)
      | ~ leq(X1,X2)
      | ( n0 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_734]) ).

tcf(c_1987,plain,
    ( leq(n1,n0)
    | ~ leq(n1,n1)
    | ( n1 != n1 )
    | ( n0 != n1 ) ),
    inference(instantiation,[status(thm)],[c_1986]) ).

tcf(c_1990,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X0,X1)
      | ~ gt(n3,n1)
      | ( X1 != n1 )
      | ( X0 != n3 ) ),
    inference(instantiation,[status(thm)],[c_736]) ).

tcf(c_1991,plain,
    ( gt(n1,n1)
    | ~ gt(n3,n1)
    | ( n1 != n3 )
    | ( n1 != n1 ) ),
    inference(instantiation,[status(thm)],[c_1990]) ).

tcf(c_1992,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X0,X1)
      | ~ gt(n2,n1)
      | ( X1 != n1 )
      | ( X0 != n2 ) ),
    inference(instantiation,[status(thm)],[c_736]) ).

tcf(c_1993,plain,
    ( gt(n1,n1)
    | ~ gt(n2,n1)
    | ( n1 != n2 )
    | ( n1 != n1 ) ),
    inference(instantiation,[status(thm)],[c_1992]) ).

tcf(c_1994,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X0,X1)
      | ~ gt(n5,n1)
      | ( X1 != n1 )
      | ( X0 != n5 ) ),
    inference(instantiation,[status(thm)],[c_736]) ).

tcf(c_1995,plain,
    ( gt(n1,n1)
    | ~ gt(n5,n1)
    | ( n1 != n5 )
    | ( n1 != n1 ) ),
    inference(instantiation,[status(thm)],[c_1994]) ).

tcf(c_1996,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X0,X1)
      | ~ gt(n4,n1)
      | ( X1 != n1 )
      | ( X0 != n4 ) ),
    inference(instantiation,[status(thm)],[c_736]) ).

tcf(c_1997,plain,
    ( gt(n1,n1)
    | ~ gt(n4,n1)
    | ( n1 != n4 )
    | ( n1 != n1 ) ),
    inference(instantiation,[status(thm)],[c_1996]) ).

tcf(c_3010,plain,
    ( ( n0 = 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(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 ) ),
    inference(superposition,[status(thm)],[c_69,c_370]) ).

tcf(c_3102,plain,
    ( ( n1 = n5 )
    | ( n0 = 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),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(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(superposition,[status(thm)],[c_69,c_3010]) ).

tcf(c_3126,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),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 )
    | ( n0 = n5 ) ),
    inference(global_subsumption_just,[status(thm)],[c_3102,c_79,c_127,c_133,c_1995,c_3102]) ).

tcf(c_3127,plain,
    ( ( n0 = 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),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(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(renaming,[status(thm)],[c_3126]) ).

tcf(c_3140,plain,
    ( ( n2 = n5 )
    | ( n0 = 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),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),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(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 ) ),
    inference(superposition,[status(thm)],[c_69,c_3127]) ).

tcf(c_3162,plain,
    ( ( n3 = n5 )
    | ( n2 = n5 )
    | ( n0 = 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),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 )
    | ( 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(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3140]) ).

tcf(c_3187,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = n5 )
    | ( n0 = 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),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 )
    | ( 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),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 ) ),
    inference(superposition,[status(thm)],[c_69,c_3162]) ).

tcf(c_3188,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = n5 )
    | ( n0 = 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),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 )
    | ( 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 ) ),
    inference(ground_joinability,[status(thm)],[c_3187,c_70]) ).

tcf(c_3213,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = n5 )
    | ( n0 = n5 )
    | ( n0 = 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(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 )
    | ( 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(superposition,[status(thm)],[c_69,c_3188]) ).

tcf(c_3241,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = n5 )
    | ( n1 = n4 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( 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(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 ) ),
    inference(superposition,[status(thm)],[c_69,c_3213]) ).

tcf(c_3252,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = 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),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),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 )
    | ( n0 = n4 )
    | ( n0 = n5 ) ),
    inference(global_subsumption_just,[status(thm)],[c_3241,c_80,c_127,c_133,c_1997,c_3241]) ).

tcf(c_3253,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = n5 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( 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(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 ) ),
    inference(renaming,[status(thm)],[c_3252]) ).

tcf(c_3272,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( 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),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(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3253]) ).

tcf(c_3303,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3) != 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),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 ) ),
    inference(superposition,[status(thm)],[c_69,c_3272]) ).

tcf(c_3304,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( 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),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 ) ),
    inference(ground_joinability,[status(thm)],[c_3303,c_70]) ).

tcf(c_3666,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = 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(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),n1) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3304]) ).

tcf(c_3708,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n1 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( 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(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3666]) ).

tcf(c_3721,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( 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),n0) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use )
    | ( n0 = n3 )
    | ( n0 = n4 )
    | ( n0 = n5 ) ),
    inference(global_subsumption_just,[status(thm)],[c_3708,c_77,c_127,c_133,c_1991,c_3708]) ).

tcf(c_3722,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( 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(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ) ),
    inference(renaming,[status(thm)],[c_3721]) ).

tcf(c_3745,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,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 ) ),
    inference(superposition,[status(thm)],[c_69,c_3722]) ).

tcf(c_3746,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( 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 ) ),
    inference(ground_joinability,[status(thm)],[c_3745,c_70]) ).

tcf(c_3788,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 )
    | ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3746]) ).

tcf(c_3842,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n1 = n2 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 )
    | ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1) != use )
    | ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3788]) ).

tcf(c_3843,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n1 = n2 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 )
    | ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use ) ),
    inference(ground_joinability,[status(thm)],[c_3842,c_70]) ).

tcf(c_3863,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use )
    | ( n0 = n2 )
    | ( n0 = n3 )
    | ( n0 = n4 )
    | ( n0 = n5 ) ),
    inference(global_subsumption_just,[status(thm)],[c_3843,c_78,c_127,c_133,c_1993,c_3843]) ).

tcf(c_3864,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 )
    | ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use ) ),
    inference(renaming,[status(thm)],[c_3863]) ).

tcf(c_3887,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 )
    | ( n0 = n1 )
    | ( a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0) != use ) ),
    inference(superposition,[status(thm)],[c_69,c_3864]) ).

tcf(c_3888,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 )
    | ( n0 = n1 ) ),
    inference(ground_joinability,[status(thm)],[c_3887,c_70]) ).

tcf(c_3907,plain,
    ( ( n4 = n5 )
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_3888,c_126,c_127,c_133,c_1855,c_1987,c_3888]) ).

tcf(c_3947,plain,
    ( gt(n4,n4)
    | ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_3907,c_99]) ).

tcf(c_3954,plain,
    ( ( n3 = n5 )
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3947,c_118]) ).

tcf(c_4001,plain,
    ( gt(n3,n3)
    | ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_3954,c_90]) ).

tcf(c_4007,plain,
    ( ( n3 = n4 )
    | ( n2 = n5 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4001,c_118]) ).

tcf(c_4235,plain,
    ( gt(n2,n2)
    | ( n3 = n4 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4007,c_84]) ).

tcf(c_4238,plain,
    ( ( n3 = n4 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n5 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4235,c_118]) ).

tcf(c_4285,plain,
    ( gt(n0,n0)
    | ( n3 = n4 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4238,c_103]) ).

tcf(c_4321,plain,
    ( ( n3 = n4 )
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4285,c_118]) ).

tcf(c_4377,plain,
    ( gt(n3,n3)
    | ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4321,c_91]) ).

tcf(c_4383,plain,
    ( ( n2 = n4 )
    | ( n2 = n3 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4377,c_118]) ).

tcf(c_4432,plain,
    ( gt(n2,n2)
    | ( n2 = n3 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4383,c_85]) ).

tcf(c_4436,plain,
    ( ( n2 = n3 )
    | ( n0 = n4 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4432,c_118]) ).

tcf(c_4479,plain,
    ( gt(n0,n0)
    | ( n2 = n3 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4436,c_97]) ).

tcf(c_4498,plain,
    ( ( n2 = n3 )
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4479,c_118]) ).

tcf(c_4552,plain,
    ( gt(n2,n2)
    | ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4498,c_83]) ).

tcf(c_4556,plain,
    ( ( n0 = n3 )
    | ( n0 = n2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4552,c_118]) ).

tcf(c_4600,plain,
    ( gt(n0,n0)
    | ( n0 = n2 ) ),
    inference(superposition,[status(thm)],[c_4556,c_92]) ).

tcf(c_4612,plain,
    n0 = n2,
    inference(forward_subsumption_resolution,[status(thm)],[c_4600,c_118]) ).

tcf(c_4660,plain,
    gt(n0,n0),
    inference(demodulation,[status(thm)],[c_86,c_4612]) ).

tcf(c_4673,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4660,c_118]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 18:31:19 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 3.22/1.19  % SZS status Started for theBenchmark.p
% 3.22/1.19  % SZS status Theorem for theBenchmark.p
% 3.22/1.19  
% 3.22/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.22/1.19  
% 3.22/1.19  % ------  iProver source info
% 3.22/1.19  
% 3.22/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.22/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.22/1.19  % git: non_committed_changes: false
% 3.22/1.19  
% 3.22/1.19  % ------ Parsing...
% 3.22/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.22/1.19  
% 3.22/1.19  % ------ Preprocessing... sup_sim: 10  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.22/1.19  
% 3.22/1.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.22/1.19  
% 3.22/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.22/1.19  % ------ Proving...
% 3.22/1.19  % ------ Problem Properties 
% 3.22/1.19  
% 3.22/1.19  % 
% 3.22/1.19  % clauses                               77
% 3.22/1.19  % conjectures                           15
% 3.22/1.19  % EPR                                   34
% 3.22/1.19  % Horn                                  67
% 3.22/1.19  % unary                                 55
% 3.22/1.19  % binary                                8
% 3.22/1.19  % lits                                  133
% 3.22/1.19  % lits eq                               65
% 3.22/1.19  % fd_pure                               0
% 3.22/1.19  % fd_pseudo                             0
% 3.22/1.19  % fd_cond                               6
% 3.22/1.19  % fd_pseudo_cond                        3
% 3.22/1.19  % AC symbols                            0
% 3.22/1.19  
% 3.22/1.19  % ------ Schedule dynamic 5 is on 
% 3.22/1.19  
% 3.22/1.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.22/1.19  
% 3.22/1.19  
% 3.22/1.19  % ------ 
% 3.22/1.19  % Current options:
% 3.22/1.19  % ------ 
% 3.22/1.19  
% 3.22/1.19  
% 3.22/1.19  % 
% 3.22/1.19  
% 3.22/1.19  % ------ Proving...
% 3.22/1.19  % 
% 3.22/1.19  
% 3.22/1.19  % SZS status Theorem for theBenchmark.p
% 3.22/1.19  
% 3.22/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.22/1.19  
% 3.22/1.19  
%------------------------------------------------------------------------------