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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 : Thu Sep 24 02:53:41 PM UTC 2026

% Result   : Theorem 1.68s 0.68s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  121 (  78 unt;   0 def)
%            Number of atoms       :  506 ( 462 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  494 ( 109   ~; 295   |;  85   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-3 aty)
%            Number of variables   :   63 (   3 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0002,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/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).

fof(sel2_update_2,axiom,
    ! [X5,X7,X1,X17,X25] :
      ( ( a_select2(X1,X7) = X17
        & X5 != X7 )
     => a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

fof(sel2_update_1,axiom,
    ! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

fof(irreflexivity_gt,axiom,
    ! [X1] : ~ gt(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

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

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

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

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

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

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

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

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

fof(succ_plus_1_r,axiom,
    ! [X1] : plus(X1,n1) = succ(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

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

fof(pred_succ,axiom,
    ! [X1] : pred(succ(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(succ_plus_1_l,axiom,
    ! [X1] : plus(n1,X1) = succ(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

fof(successor_2,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).

fof(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

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

fof(leq_succ_gt,axiom,
    ! [X1,X2] :
      ( leq(succ(X1),X2)
     => gt(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).

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

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

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

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(c_0_25,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(assume_negation,[status(cth)],[quaternion_ds1_inuse_0002]) ).

fof(c_0_26,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
      | a_select2(xinit_defuse,n5) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n0) != use
      | a_select2(rho_defuse,n2) != use
      | a_select2(rho_defuse,n1) != use
      | a_select2(rho_defuse,n0) != use )
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n0) = use ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).

fof(c_0_27,plain,
    ! [X5,X7,X1,X17,X25] :
      ( ( a_select2(X1,X7) = X17
        & X5 != X7 )
     => a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
    inference(fof_simplification,[status(thm)],[sel2_update_2]) ).

cnf(c_0_28,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
    | 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(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_36,plain,
    ! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
    inference(variable_rename,[status(thm)],[sel2_update_1]) ).

fof(c_0_37,plain,
    ! [X176,X177,X178,X179,X180] :
      ( a_select2(tptp_update2(X178,X176,X180),X177) = X179
      | a_select2(X178,X177) != X179
      | X176 = X177 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).

cnf(c_0_38,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_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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).

cnf(c_0_39,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,plain,
    a_select2(tptp_update2(X1,X2,X3),X2) = X3,
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_42,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_43,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_44,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_45,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_46,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_47,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_48,plain,
    ( a_select2(X3,X2) != X4
    | a_select2(tptp_update2(X3,X1,X5),X2) = X4
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_49,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),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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47])]) ).

cnf(c_0_50,plain,
    ( X2 = X4
    | a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4) ),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_51,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),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
    | n5 = n4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40])]) ).

cnf(c_0_52,negated_conjecture,
    ( 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(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
    | n5 = n4
    | n5 = n3 ),
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_53,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),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
    | n5 = n3
    | n5 = n4
    | n4 = n3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_40])]) ).

cnf(c_0_54,negated_conjecture,
    ( 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),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
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ( 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(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
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( 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(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
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0 ),
    inference(spm,[status(thm)],[c_0_56,c_0_50]) ).

cnf(c_0_58,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),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
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_40])]) ).

cnf(c_0_59,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_50]) ).

cnf(c_0_61,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1 ),
    inference(spm,[status(thm)],[c_0_60,c_0_50]) ).

cnf(c_0_62,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),n2) != use
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_40])]) ).

cnf(c_0_63,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2 ),
    inference(spm,[status(thm)],[c_0_62,c_0_50]) ).

fof(c_0_64,plain,
    ! [X1] : ~ gt(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).

cnf(c_0_65,negated_conjecture,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n4
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(spm,[status(thm)],[c_0_63,c_0_50]) ).

fof(c_0_66,plain,
    ! [X33] : ~ gt(X33,X33),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_64])]) ).

cnf(c_0_67,plain,
    gt(n5,n4),
    inference(split_conjunct,[status(thm)],[gt_5_4]) ).

cnf(c_0_68,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n5 = n3
    | n5 = n4
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | n3 = n2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_50]),c_0_40])]) ).

cnf(c_0_69,plain,
    ~ gt(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_70,plain,
    gt(n5,n3),
    inference(split_conjunct,[status(thm)],[gt_5_3]) ).

cnf(c_0_71,negated_conjecture,
    ( n3 = n2
    | n5 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_72,plain,
    gt(n5,n2),
    inference(split_conjunct,[status(thm)],[gt_5_2]) ).

cnf(c_0_73,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n5 = n1
    | n3 = n1
    | n5 = n2
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_69]) ).

cnf(c_0_74,plain,
    gt(n5,n1),
    inference(split_conjunct,[status(thm)],[gt_5_1]) ).

cnf(c_0_75,negated_conjecture,
    ( n3 = n2
    | n3 = n1
    | n5 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n5 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_69]) ).

cnf(c_0_76,plain,
    gt(n5,n0),
    inference(split_conjunct,[status(thm)],[gt_5_0]) ).

cnf(c_0_77,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n5 = n0
    | n4 = n3
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_69]) ).

cnf(c_0_78,plain,
    gt(n4,n3),
    inference(split_conjunct,[status(thm)],[gt_4_3]) ).

cnf(c_0_79,negated_conjecture,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n4 = n3
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1
    | n4 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_69]) ).

cnf(c_0_80,plain,
    gt(n4,n2),
    inference(split_conjunct,[status(thm)],[gt_4_2]) ).

cnf(c_0_81,negated_conjecture,
    ( n4 = n2
    | n2 = n1
    | n4 = n1
    | n1 = n0
    | n3 = n0
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_69]) ).

cnf(c_0_82,plain,
    gt(n4,n1),
    inference(split_conjunct,[status(thm)],[gt_4_1]) ).

cnf(c_0_83,negated_conjecture,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n4 = n0
    | n3 = n0
    | n1 = n0
    | n4 = n1
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_69]) ).

fof(c_0_84,plain,
    ! [X135] : plus(X135,n1) = succ(X135),
    inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).

cnf(c_0_85,plain,
    gt(n4,n0),
    inference(split_conjunct,[status(thm)],[gt_4_0]) ).

cnf(c_0_86,negated_conjecture,
    ( n2 = n1
    | n1 = n0
    | n3 = n0
    | n4 = n0
    | n2 = n0
    | n3 = n1
    | n3 = n2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_69]) ).

fof(c_0_87,plain,
    ! [X146] : pred(succ(X146)) = X146,
    inference(variable_rename,[status(thm)],[pred_succ]) ).

fof(c_0_88,plain,
    ! [X145] : minus(X145,n1) = pred(X145),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

fof(c_0_89,plain,
    ! [X136] : plus(n1,X136) = succ(X136),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

cnf(c_0_90,plain,
    succ(succ(n0)) = n2,
    inference(split_conjunct,[status(thm)],[successor_2]) ).

cnf(c_0_91,plain,
    plus(X1,n1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_92,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_93,plain,
    gt(n3,n2),
    inference(split_conjunct,[status(thm)],[gt_3_2]) ).

cnf(c_0_94,negated_conjecture,
    ( n3 = n2
    | n3 = n1
    | n2 = n0
    | n3 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_69]) ).

fof(c_0_95,plain,
    ! [X150,X151] :
      ( gt(X151,X150)
      | ~ leq(succ(X150),X151) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])])]) ).

cnf(c_0_96,plain,
    pred(succ(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_97,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_98,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_99,plain,
    plus(plus(n0,n1),n1) = n2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_91]) ).

cnf(c_0_100,plain,
    plus(n0,n1) = n1,
    inference(rw,[status(thm)],[c_0_92,c_0_91]) ).

cnf(c_0_101,plain,
    gt(n3,n1),
    inference(split_conjunct,[status(thm)],[gt_3_1]) ).

cnf(c_0_102,negated_conjecture,
    ( n2 = n1
    | n1 = n0
    | n3 = n0
    | n2 = n0
    | n3 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_69]) ).

cnf(c_0_103,plain,
    ( ~ leq(succ(X1),X2)
    | gt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_104,plain,
    minus(plus(X1,n1),n1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_91]),c_0_97]) ).

cnf(c_0_105,plain,
    plus(n1,X1) = plus(X1,n1),
    inference(rw,[status(thm)],[c_0_98,c_0_91]) ).

cnf(c_0_106,plain,
    plus(n1,n1) = n2,
    inference(rw,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_107,plain,
    gt(n3,n0),
    inference(split_conjunct,[status(thm)],[gt_3_0]) ).

cnf(c_0_108,negated_conjecture,
    ( n2 = n0
    | n3 = n0
    | n1 = n0
    | n2 = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_69]) ).

cnf(c_0_109,plain,
    ( ~ leq(plus(X1,n1),X2)
    | gt(X2,X1) ),
    inference(rw,[status(thm)],[c_0_103,c_0_91]) ).

cnf(c_0_110,plain,
    minus(n2,n1) = n1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).

cnf(c_0_111,negated_conjecture,
    ( n2 = n1
    | n1 = n0
    | n2 = n0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_69]) ).

cnf(c_0_112,plain,
    minus(n1,n1) = n0,
    inference(spm,[status(thm)],[c_0_104,c_0_100]) ).

cnf(c_0_113,plain,
    ~ leq(plus(X1,n1),X1),
    inference(spm,[status(thm)],[c_0_69,c_0_109]) ).

cnf(c_0_114,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

cnf(c_0_115,negated_conjecture,
    ( n1 = n0
    | n2 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).

fof(c_0_116,plain,
    ! [X34] : leq(X34,X34),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

cnf(c_0_117,plain,
    ~ leq(n1,n0),
    inference(spm,[status(thm)],[c_0_113,c_0_100]) ).

cnf(c_0_118,negated_conjecture,
    n1 = n0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_69]) ).

cnf(c_0_119,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_120,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_119])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n014.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 08:30:04 UTC 2026
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/0.68  % Version: 3.5.1
% 1.68/0.68  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.68/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.68/0.68  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.68/0.68  % Starting new_bool_3 with 300s (1) cores
% 1.68/0.68  % Starting new_bool_1 with 300s (1) cores
% 1.68/0.68  % Starting sh5l with 300s (1) cores
% 1.68/0.68  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3648529 completed with status 0
% 1.68/0.68  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.68/0.68  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.68/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.68/0.68  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.68/0.68  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.68/0.68  % No SInE strategy applied
% 1.68/0.68  % Search class: FGHSM-FSLM33-DFFFFFNN
% 1.68/0.68  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.68/0.68  % Starting SubtermCWHack with 136s (1) cores
% 1.68/0.68  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.68/0.68  % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.68/0.68  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.68/0.68  % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 1.68/0.68  % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 3648544 completed with status 0
% 1.68/0.68  % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 1.68/0.68  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.68/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.68/0.68  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.68/0.68  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.68/0.68  % No SInE strategy applied
% 1.68/0.68  % Search class: FGHSM-FSLM33-DFFFFFNN
% 1.68/0.68  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1.68/0.68  % Starting SubtermCWHack with 136s (1) cores
% 1.68/0.68  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.68/0.68  % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.68/0.68  % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 1.68/0.68  % Preprocessing time       : 0.130 s
% 1.68/0.68  
% 1.68/0.68  % Proof found!
% 1.68/0.68  % SZS status Theorem
% 1.68/0.68  % SZS output start CNFRefutation
% See solution above
% 1.68/0.68  % Parsed axioms                        : 85
% 1.68/0.68  % Removed by relevancy pruning/SinE    : 0
% 1.68/0.68  % Initial clauses                      : 208
% 1.68/0.68  % Removed in clause preprocessing      : 2
% 1.68/0.68  % Initial clauses in saturation        : 206
% 1.68/0.68  % Processed clauses                    : 418
% 1.68/0.68  % ...of these trivial                  : 10
% 1.68/0.68  % ...subsumed                          : 66
% 1.68/0.68  % ...remaining for further processing  : 342
% 1.68/0.68  % Other redundant clauses eliminated   : 8
% 1.68/0.68  % Clauses deleted for lack of memory   : 0
% 1.68/0.68  % Backward-subsumed                    : 29
% 1.68/0.68  % Backward-rewritten                   : 66
% 1.68/0.68  % Generated clauses                    : 2529
% 1.68/0.68  % ...of the previous two non-redundant : 2226
% 1.68/0.68  % ...aggressively subsumed             : 0
% 1.68/0.68  % Contextual simplify-reflections      : 2
% 1.68/0.68  % Paramodulations                      : 2455
% 1.68/0.68  % Factorizations                       : 52
% 1.68/0.68  % NegExts                              : 0
% 1.68/0.68  % Equation resolutions                 : 22
% 1.68/0.68  % Disequality decompositions           : 0
% 1.68/0.68  % Total rewrite steps                  : 954
% 1.68/0.68  % ...of those cached                   : 814
% 1.68/0.68  % Propositional unsat checks           : 0
% 1.68/0.68  %    Propositional check models        : 0
% 1.68/0.68  %    Propositional check unsatisfiable : 0
% 1.68/0.68  %    Propositional clauses             : 0
% 1.68/0.68  %    Propositional clauses after purity: 0
% 1.68/0.68  %    Propositional unsat core size     : 0
% 1.68/0.68  %    Propositional preprocessing time  : 0.000
% 1.68/0.68  %    Propositional encoding time       : 0.000
% 1.68/0.68  %    Propositional solver time         : 0.000
% 1.68/0.68  %    Success case prop preproc time    : 0.000
% 1.68/0.68  %    Success case prop encoding time   : 0.000
% 1.68/0.68  %    Success case prop solver time     : 0.000
% 1.68/0.68  % Current number of processed clauses  : 246
% 1.68/0.68  %    Positive orientable unit clauses  : 58
% 1.68/0.68  %    Positive unorientable unit clauses: 4
% 1.68/0.68  %    Negative unit clauses             : 27
% 1.68/0.68  %    Non-unit-clauses                  : 157
% 1.68/0.68  % Current number of unprocessed clauses: 1863
% 1.68/0.68  % ...number of literals in the above   : 11094
% 1.68/0.68  % Current number of archived formulas  : 0
% 1.68/0.68  % Current number of archived clauses   : 97
% 1.68/0.68  % Clause-clause subsumption calls (NU) : 16481
% 1.68/0.68  % Rec. Clause-clause subsumption calls : 1291
% 1.68/0.68  % Non-unit clause-clause subsumptions  : 33
% 1.68/0.68  % Unit Clause-clause subsumption calls : 3823
% 1.68/0.68  % Rewrite failures with RHS unbound    : 0
% 1.68/0.68  % BW rewrite match attempts            : 20
% 1.68/0.68  % BW rewrite match successes           : 13
% 1.68/0.68  % Condensation attempts                : 0
% 1.68/0.68  % Condensation successes               : 0
% 1.68/0.68  % Termbank termtop insertions          : 67376
% 1.68/0.68  % Search garbage collected termcells   : 2280
% 1.68/0.68  
% 1.68/0.68  % -------------------------------------------------
% 1.68/0.68  % User time                : 0.223 s
% 1.68/0.68  % System time              : 0.014 s
% 1.68/0.68  % Total time               : 0.237 s
% 1.68/0.68  % Maximum resident set size: 4256 pages
% 1.68/0.68  
% 1.68/0.68  % -------------------------------------------------
% 1.68/0.68  % User time                : 1.039 s
% 1.68/0.68  % System time              : 0.054 s
% 1.68/0.68  % Total time               : 1.093 s
% 1.68/0.68  % Maximum resident set size: 4608 pages
% 1.68/0.68  % E exiting
%------------------------------------------------------------------------------