TSTP Solution File: SWV091+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Fri May  3 03:13:28 EDT 2024

% Result   : Theorem 7.34s 1.64s
% Output   : CNFRefutation 7.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

fof(f48,axiom,
    ! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sel2_update_2) ).

fof(f53,conjecture,
    ( ( use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_mean_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) )
   => ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_mean_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) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_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) )
     => ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_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(negated_conjecture,[],[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(f64,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_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(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_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
      | use != a_select2(xinit_mean_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_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) )
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_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_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
      | use != a_select2(xinit_mean_defuse,n5)
      | use != a_select2(xinit_mean_defuse,n4)
      | use != a_select2(xinit_mean_defuse,n3)
      | use != a_select2(xinit_mean_defuse,n2)
      | use != a_select2(xinit_mean_defuse,n1)
      | use != a_select2(xinit_mean_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) )
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_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(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f149]) ).

fof(f342,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f149]) ).

fof(f343,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f149]) ).

fof(f344,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f149]) ).

fof(f345,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f149]) ).

fof(f346,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f149]) ).

fof(f347,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0)
    | use != a_select2(xinit_mean_defuse,n5)
    | use != a_select2(xinit_mean_defuse,n4)
    | use != a_select2(xinit_mean_defuse,n3)
    | use != a_select2(xinit_mean_defuse,n2)
    | use != a_select2(xinit_mean_defuse,n1)
    | use != a_select2(xinit_mean_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(cnf_transformation,[],[f149]) ).

fof(f348,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f55]) ).

fof(f355,plain,
    gt(n4,n0),
    inference(cnf_transformation,[],[f62]) ).

fof(f356,plain,
    gt(n5,n0),
    inference(cnf_transformation,[],[f63]) ).

fof(f357,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f64]) ).

fof(f358,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f359,plain,
    gt(n3,n0),
    inference(cnf_transformation,[],[f66]) ).

fof(f360,plain,
    gt(n4,n1),
    inference(cnf_transformation,[],[f67]) ).

fof(f361,plain,
    gt(n5,n1),
    inference(cnf_transformation,[],[f68]) ).

fof(f362,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f69]) ).

fof(f363,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f70]) ).

fof(f364,plain,
    gt(n4,n2),
    inference(cnf_transformation,[],[f71]) ).

fof(f365,plain,
    gt(n5,n2),
    inference(cnf_transformation,[],[f72]) ).

fof(f366,plain,
    gt(n3,n2),
    inference(cnf_transformation,[],[f73]) ).

fof(f367,plain,
    gt(n4,n3),
    inference(cnf_transformation,[],[f74]) ).

fof(f368,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f75]) ).

fof(f408,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,[],[f408]) ).

cnf(c_157,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_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_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != 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,[],[f347]) ).

cnf(c_158,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnf_transformation,[],[f346]) ).

cnf(c_159,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnf_transformation,[],[f345]) ).

cnf(c_160,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnf_transformation,[],[f344]) ).

cnf(c_161,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnf_transformation,[],[f343]) ).

cnf(c_162,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnf_transformation,[],[f342]) ).

cnf(c_163,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnf_transformation,[],[f341]) ).

cnf(c_164,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[],[f340]) ).

cnf(c_165,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[],[f339]) ).

cnf(c_166,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[],[f338]) ).

cnf(c_167,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f337]) ).

cnf(c_168,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f336]) ).

cnf(c_169,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f335]) ).

cnf(c_170,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[],[f334]) ).

cnf(c_171,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[],[f333]) ).

cnf(c_172,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[],[f332]) ).

cnf(c_173,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[],[f331]) ).

cnf(c_174,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[],[f330]) ).

cnf(c_175,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[],[f329]) ).

cnf(c_176,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[],[f328]) ).

cnf(c_177,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[],[f327]) ).

cnf(c_178,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[],[f326]) ).

cnf(c_179,plain,
    gt(n5,n4),
    inference(cnf_transformation,[],[f348]) ).

cnf(c_186,plain,
    gt(n4,n0),
    inference(cnf_transformation,[],[f355]) ).

cnf(c_187,plain,
    gt(n5,n0),
    inference(cnf_transformation,[],[f356]) ).

cnf(c_188,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f357]) ).

cnf(c_189,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_190,plain,
    gt(n3,n0),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_191,plain,
    gt(n4,n1),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_192,plain,
    gt(n5,n1),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_193,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_194,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f363]) ).

cnf(c_195,plain,
    gt(n4,n2),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_196,plain,
    gt(n5,n2),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_197,plain,
    gt(n3,n2),
    inference(cnf_transformation,[],[f366]) ).

cnf(c_198,plain,
    gt(n4,n3),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_199,plain,
    gt(n5,n3),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_212,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_243,plain,
    ( n0 = n0
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_301,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use ),
    inference(global_subsumption_just,[status(thm)],[c_157,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_169,c_168,c_167,c_157]) ).

cnf(c_302,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
    inference(renaming,[status(thm)],[c_301]) ).

cnf(c_774,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_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_noise_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_noise_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_noise_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_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ),
    inference(backward_subsumption_resolution,[status(thm)],[c_302,c_151]) ).

cnf(c_5892,plain,
    a_select2(rho_defuse,n0) = sP0_iProver_def,
    definition ).

cnf(c_5913,negated_conjecture,
    sP0_iProver_def = use,
    inference(demodulation,[status(thm)],[c_178,c_5892]) ).

cnf(c_5937,plain,
    ( X0 != X1
    | X2 != X3
    | ~ gt(X1,X3)
    | gt(X0,X2) ),
    theory(equality) ).

cnf(c_9053,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_774,c_5913]) ).

cnf(c_9991,plain,
    ( X0 != n4
    | X1 != n0
    | ~ gt(n4,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5937]) ).

cnf(c_9992,plain,
    ( n0 != n0
    | n0 != n4
    | ~ gt(n4,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9991]) ).

cnf(c_9993,plain,
    ( X0 != n5
    | X1 != n0
    | ~ gt(n5,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5937]) ).

cnf(c_9994,plain,
    ( n0 != n0
    | n0 != n5
    | ~ gt(n5,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9993]) ).

cnf(c_9997,plain,
    ( X0 != n2
    | X1 != n0
    | ~ gt(n2,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5937]) ).

cnf(c_9998,plain,
    ( n0 != n0
    | n0 != n2
    | ~ gt(n2,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9997]) ).

cnf(c_9999,plain,
    ( X0 != n3
    | X1 != n0
    | ~ gt(n3,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_5937]) ).

cnf(c_10000,plain,
    ( n0 != n0
    | n0 != n3
    | ~ gt(n3,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9999]) ).

cnf(c_11547,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | n1 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_9053]) ).

cnf(c_11595,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | n1 = n5
    | n0 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11547]) ).

cnf(c_11603,plain,
    ( n1 = n5
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n2) != sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_11595,c_187,c_212,c_243,c_9994,c_11595]) ).

cnf(c_11604,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | n1 = n5 ),
    inference(renaming,[status(thm)],[c_11603]) ).

cnf(c_11617,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | n1 = n5
    | n2 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11604]) ).

cnf(c_11639,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n5,sP0_iProver_def),n4) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | n1 = n5
    | n2 = n5
    | n3 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11617]) ).

cnf(c_11664,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n4) != sP0_iProver_def
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11639]) ).

cnf(c_11665,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11664,c_151]) ).

cnf(c_11690,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | n1 = n4
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11665]) ).

cnf(c_11718,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | n1 = n4
    | n1 = n5
    | n0 = n4
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11690]) ).

cnf(c_11729,plain,
    ( n1 = n5
    | n1 = n4
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(global_subsumption_just,[status(thm)],[c_11718,c_186,c_212,c_243,c_9992,c_11718]) ).

cnf(c_11730,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | n1 = n4
    | n1 = n5
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(renaming,[status(thm)],[c_11729]) ).

cnf(c_11749,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n4,sP0_iProver_def),n3) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11730]) ).

cnf(c_11878,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n3) != sP0_iProver_def
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11749]) ).

cnf(c_11879,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11878,c_151]) ).

cnf(c_12692,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n1) != sP0_iProver_def
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(superposition,[status(thm)],[c_152,c_11879]) ).

cnf(c_12726,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | 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_12692]) ).

cnf(c_12739,plain,
    ( n1 = n5
    | n1 = n4
    | n1 = n3
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(global_subsumption_just,[status(thm)],[c_12726,c_190,c_212,c_243,c_10000,c_12726]) ).

cnf(c_12740,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n3,sP0_iProver_def),n2) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(renaming,[status(thm)],[c_12739]) ).

cnf(c_12763,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n2) != sP0_iProver_def
    | 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_12740]) ).

cnf(c_12764,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n1) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | 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_12763,c_151]) ).

cnf(c_12798,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n1) != sP0_iProver_def
    | 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_12764]) ).

cnf(c_12799,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n2,sP0_iProver_def),n0) != sP0_iProver_def
    | 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_12798,c_151]) ).

cnf(c_12833,plain,
    ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n0) != sP0_iProver_def
    | 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_12799]) ).

cnf(c_12846,plain,
    ( n1 = n5
    | n1 = n4
    | n1 = n3
    | n1 = n2
    | a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n0) != sP0_iProver_def
    | n2 = n3
    | n2 = n4
    | n2 = n5
    | n3 = n4
    | n3 = n5
    | n4 = n5 ),
    inference(global_subsumption_just,[status(thm)],[c_12833,c_189,c_212,c_243,c_9998,c_12833]) ).

cnf(c_12847,plain,
    ( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n1,sP0_iProver_def),n0) != sP0_iProver_def
    | 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_12846]) ).

cnf(c_12870,plain,
    ( a_select2(tptp_update2(xinit_noise_defuse,n0,sP0_iProver_def),n0) != sP0_iProver_def
    | 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_12847]) ).

cnf(c_12871,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_12870,c_151]) ).

cnf(c_12954,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_12871,c_179]) ).

cnf(c_12956,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_12954,c_51]) ).

cnf(c_13031,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_12956,c_199]) ).

cnf(c_13048,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_13031,c_51]) ).

cnf(c_13190,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_13048,c_196]) ).

cnf(c_13205,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n1 = n5
    | n2 = n3
    | n2 = n4
    | n3 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13190,c_51]) ).

cnf(c_13287,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4
    | n3 = n4
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_13205,c_192]) ).

cnf(c_13300,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4
    | n3 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13287,c_51]) ).

cnf(c_13378,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4
    | gt(n3,n3) ),
    inference(superposition,[status(thm)],[c_13300,c_198]) ).

cnf(c_13385,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | n2 = n4 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13378,c_51]) ).

cnf(c_13454,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3
    | gt(n2,n2) ),
    inference(superposition,[status(thm)],[c_13385,c_195]) ).

cnf(c_13460,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n1 = n4
    | n2 = n3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13454,c_51]) ).

cnf(c_13527,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n2 = n3
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_13460,c_191]) ).

cnf(c_13532,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | n2 = n3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13527,c_51]) ).

cnf(c_13602,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3
    | gt(n2,n2) ),
    inference(superposition,[status(thm)],[c_13532,c_197]) ).

cnf(c_13607,plain,
    ( n1 = n0
    | n1 = n2
    | n1 = n3 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13602,c_51]) ).

cnf(c_13671,plain,
    ( n1 = n0
    | n1 = n2
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_13607,c_194]) ).

cnf(c_13675,plain,
    ( n1 = n0
    | n1 = n2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13671,c_51]) ).

cnf(c_13747,plain,
    ( n1 = n0
    | gt(n1,n1) ),
    inference(superposition,[status(thm)],[c_13675,c_193]) ).

cnf(c_13751,plain,
    n1 = n0,
    inference(forward_subsumption_resolution,[status(thm)],[c_13747,c_51]) ).

cnf(c_13855,plain,
    gt(n0,n0),
    inference(demodulation,[status(thm)],[c_188,c_13751]) ).

cnf(c_13862,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13855,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:46:39 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.34/1.64  % SZS status Started for theBenchmark.p
% 7.34/1.64  % SZS status Theorem for theBenchmark.p
% 7.34/1.64  
% 7.34/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.34/1.64  
% 7.34/1.64  ------  iProver source info
% 7.34/1.64  
% 7.34/1.64  git: date: 2024-05-02 19:28:25 +0000
% 7.34/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.34/1.64  git: non_committed_changes: false
% 7.34/1.64  
% 7.34/1.64  ------ Parsing...
% 7.34/1.64  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.34/1.64  
% 7.34/1.64  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.34/1.64  
% 7.34/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.34/1.64  
% 7.34/1.64  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.34/1.64  ------ Proving...
% 7.34/1.64  ------ Problem Properties 
% 7.34/1.64  
% 7.34/1.64  
% 7.34/1.64  clauses                                 183
% 7.34/1.64  conjectures                             21
% 7.34/1.64  EPR                                     57
% 7.34/1.64  Horn                                    133
% 7.34/1.64  unary                                   88
% 7.34/1.64  binary                                  34
% 7.34/1.64  lits                                    526
% 7.34/1.64  lits eq                                 160
% 7.34/1.64  fd_pure                                 0
% 7.34/1.64  fd_pseudo                               0
% 7.34/1.64  fd_cond                                 6
% 7.34/1.64  fd_pseudo_cond                          4
% 7.34/1.64  AC symbols                              0
% 7.34/1.64  
% 7.34/1.64  ------ Schedule dynamic 5 is on 
% 7.34/1.64  
% 7.34/1.64  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.34/1.64  
% 7.34/1.64  
% 7.34/1.64  ------ 
% 7.34/1.64  Current options:
% 7.34/1.64  ------ 
% 7.34/1.64  
% 7.34/1.64  
% 7.34/1.64  
% 7.34/1.64  
% 7.34/1.64  ------ Proving...
% 7.34/1.64  
% 7.34/1.64  
% 7.34/1.64  % SZS status Theorem for theBenchmark.p
% 7.34/1.64  
% 7.34/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.34/1.64  
% 7.34/1.65  
%------------------------------------------------------------------------------