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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV835-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:14:10 PM UTC 2026

% Result   : Unsatisfiable 19.58s 18.15s
% Output   : Proof 19.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  147 (  59 unt;   0 def)
%            Number of atoms       :  299 (  51 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  437 ( 285   ~; 152   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   5 con; 0-4 aty)
%            Number of variables   :  354 (  32 sgn 172   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f592,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).

fof(f592_nnf,plain,
    class_Lattices_Olower__semilattice(tc_bool),
    inference(nnf_transformation,[status(thm)],[f592]) ).

cnf(c592,plain,
    class_Lattices_Olower__semilattice(tc_bool),
    inference(cnf_transformation,[status(esa)],[f592_nnf]) ).

cnf(t1,plain,
    class_Lattices_Olower__semilattice(tc_bool) = true,
    inference(equality_encoding,[status(esa)],[c592]) ).

cnf(t1565,plain,
    class_Lattices_Olower__semilattice(tc_bool) = true,
    inference(orient,[status(thm)],[t1]) ).

cnf(f567,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).

fof(f567_nnf,plain,
    ! [V_G,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
    inference(nnf_transformation,[status(thm)],[f567]) ).

fof(f567_sk,plain,
    ! [V_G,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a),
    inference(skolemisation,[status(esa)],[f567_nnf]) ).

cnf(c567,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
    inference(cnf_transformation,[status(esa)],[f567_sk]) ).

cnf(t9,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2) = true,
    inference(equality_encoding,[status(esa)],[c567]) ).

cnf(t1579,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)),X2) = true,
    inference(orient,[status(thm)],[t9]) ).

cnf(t3,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t254,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t3]) ).

cnf(f70,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
    | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff_0) ).

fof(f70_nnf,plain,
    ! [T_a,V_k,V_l] :
      ( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
      | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f70]) ).

fof(f70_sk,plain,
    ! [T_a,V_k,V_l] :
      ( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
      | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f70_nnf]) ).

cnf(c70,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X0) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f70_sk]) ).

cnf(f114,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
    | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff2_0) ).

fof(f114_nnf,plain,
    ! [T_a,V_a,V_b] :
      ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f114]) ).

fof(f114_sk,plain,
    ! [T_a,V_a,V_b] :
      ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f114_nnf]) ).

cnf(c114,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0)
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f114_sk]) ).

cnf(f173,axiom,
    ( ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
    | ~ hBOOL(c_in(V_c,V_A,T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplD_0) ).

fof(f173_nnf,plain,
    ! [V_c,V_A,T_a] :
      ( ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
      | ~ hBOOL(c_in(V_c,V_A,T_a)) ),
    inference(nnf_transformation,[status(thm)],[f173]) ).

fof(f173_sk,plain,
    ! [V_c,V_A,T_a] :
      ( ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
      | ~ hBOOL(c_in(V_c,V_A,T_a)) ),
    inference(skolemisation,[status(esa)],[f173_nnf]) ).

cnf(c173,plain,
    ( ~ hBOOL(c_in(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2))
    | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f173_sk]) ).

cnf(f206,axiom,
    ( ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
    | ~ hBOOL(c_in(V_c,V_B,T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_1) ).

fof(f206_nnf,plain,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
      | ~ hBOOL(c_in(V_c,V_B,T_a)) ),
    inference(nnf_transformation,[status(thm)],[f206]) ).

fof(f206_sk,plain,
    ! [V_c,V_B,T_a,V_A] :
      ( ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
      | ~ hBOOL(c_in(V_c,V_B,T_a)) ),
    inference(skolemisation,[status(esa)],[f206_nnf]) ).

cnf(c206,plain,
    ( ~ hBOOL(c_in(X0,c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2))
    | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f206_sk]) ).

cnf(f256,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | ~ hBOOL(c_in(V_x,V_A,T_a))
    | ~ hBOOL(c_in(V_x,V_B,T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).

fof(f256_nnf,plain,
    ! [V_x,V_B,T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ hBOOL(c_in(V_x,V_A,T_a))
      | ~ hBOOL(c_in(V_x,V_B,T_a)) ),
    inference(nnf_transformation,[status(thm)],[f256]) ).

fof(f256_sk,plain,
    ! [V_x,V_B,T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ hBOOL(c_in(V_x,V_A,T_a))
      | ~ hBOOL(c_in(V_x,V_B,T_a)) ),
    inference(skolemisation,[status(esa)],[f256_nnf]) ).

cnf(c256,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ hBOOL(c_in(X0,X3,X2))
    | ~ hBOOL(c_in(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f256_sk]) ).

cnf(f265,axiom,
    ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_1) ).

fof(f265_nnf,plain,
    ! [V_x,T_a] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
    inference(nnf_transformation,[status(thm)],[f265]) ).

fof(f265_sk,plain,
    ! [V_x,T_a] : ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)),
    inference(skolemisation,[status(esa)],[f265_nnf]) ).

cnf(c265,plain,
    ~ c_HOL_Oord__class_Oless(X0,X0,tc_fun(X1,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f265_sk]) ).

cnf(f266,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).

fof(f266_nnf,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f266]) ).

fof(f266_sk,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f266_nnf]) ).

cnf(c266,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f266_sk]) ).

cnf(f267,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
    | ~ class_Orderings_Olinorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).

fof(f267_nnf,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f267]) ).

fof(f267_sk,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(skolemisation,[status(esa)],[f267_nnf]) ).

cnf(c267,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
    | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f267_sk]) ).

cnf(f268,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
    | ~ class_Orderings_Opreorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).

fof(f268_nnf,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f268]) ).

fof(f268_sk,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(skolemisation,[status(esa)],[f268_nnf]) ).

cnf(c268,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
    | ~ class_Orderings_Opreorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f268_sk]) ).

cnf(f299,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
    | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
    | ~ class_Orderings_Olinorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).

fof(f299_nnf,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f299]) ).

fof(f299_sk,plain,
    ! [T_a,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a)
      | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x))
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(skolemisation,[status(esa)],[f299_nnf]) ).

cnf(c299,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X0)
    | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
    | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f299_sk]) ).

cnf(f301,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
    | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
    | ~ class_Orderings_Olinorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).

fof(f301_nnf,plain,
    ! [T_a,V_x,V_y] :
      ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f301]) ).

fof(f301_sk,plain,
    ! [T_a,V_x,V_y] :
      ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(skolemisation,[status(esa)],[f301_nnf]) ).

cnf(c301,plain,
    ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f301_sk]) ).

cnf(f303,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
    | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
    | ~ class_Orderings_Olinorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).

fof(f303_nnf,plain,
    ! [T_a,V_x,V_y] :
      ( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
      | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f303]) ).

fof(f303_sk,plain,
    ! [T_a,V_x,V_y] :
      ( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
      | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y))
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(skolemisation,[status(esa)],[f303_nnf]) ).

cnf(c303,plain,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
    | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
    | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f303_sk]) ).

cnf(f305,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
    | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
    | ~ class_Orderings_Opreorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).

fof(f305_nnf,plain,
    ! [T_a,V_y,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f305]) ).

fof(f305_sk,plain,
    ! [T_a,V_y,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x))
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(skolemisation,[status(esa)],[f305_nnf]) ).

cnf(c305,plain,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
    | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
    | ~ class_Orderings_Opreorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f305_sk]) ).

cnf(f334,axiom,
    ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

fof(f334_nnf,plain,
    ! [V_x,T_a] : ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    inference(nnf_transformation,[status(thm)],[f334]) ).

fof(f334_sk,plain,
    ! [V_x,T_a] : ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    inference(skolemisation,[status(esa)],[f334_nnf]) ).

cnf(c334,plain,
    ~ hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
    inference(cnf_transformation,[status(esa)],[f334_sk]) ).

cnf(f336,axiom,
    ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).

fof(f336_nnf,plain,
    ! [V_c,T_a] : ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    inference(nnf_transformation,[status(thm)],[f336]) ).

fof(f336_sk,plain,
    ! [V_c,T_a] : ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    inference(skolemisation,[status(esa)],[f336_nnf]) ).

cnf(c336,plain,
    ~ hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
    inference(cnf_transformation,[status(esa)],[f336_sk]) ).

cnf(f337,axiom,
    ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).

fof(f337_nnf,plain,
    ! [V_a,T_a] : ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    inference(nnf_transformation,[status(thm)],[f337]) ).

fof(f337_sk,plain,
    ! [V_a,T_a] : ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),
    inference(skolemisation,[status(esa)],[f337_nnf]) ).

cnf(c337,plain,
    ~ hBOOL(c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
    inference(cnf_transformation,[status(esa)],[f337_sk]) ).

cnf(f338,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

fof(f338_nnf,plain,
    ! [T_a,V_a,V_A] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
    inference(nnf_transformation,[status(thm)],[f338]) ).

fof(f338_sk,plain,
    ! [T_a,V_a,V_A] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a),
    inference(skolemisation,[status(esa)],[f338_nnf]) ).

cnf(c338,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Set_Oinsert(X1,X2,X0),
    inference(cnf_transformation,[status(esa)],[f338_sk]) ).

cnf(f343,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).

fof(f343_nnf,plain,
    ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    inference(nnf_transformation,[status(thm)],[f343]) ).

fof(f343_sk,plain,
    ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    inference(skolemisation,[status(esa)],[f343_nnf]) ).

cnf(c343,plain,
    c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f343_sk]) ).

cnf(f347,axiom,
    ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).

fof(f347_nnf,plain,
    ! [V_A,T_a] : ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    inference(nnf_transformation,[status(thm)],[f347]) ).

fof(f347_sk,plain,
    ! [V_A,T_a] : ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    inference(skolemisation,[status(esa)],[f347_nnf]) ).

cnf(c347,plain,
    ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f347_sk]) ).

cnf(f353,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).

fof(f353_nnf,plain,
    ! [V_a,V_A,T_a] : c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    inference(nnf_transformation,[status(thm)],[f353]) ).

fof(f353_sk,plain,
    ! [V_a,V_A,T_a] : c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    inference(skolemisation,[status(esa)],[f353_nnf]) ).

cnf(c353,plain,
    c_Set_Oinsert(X0,X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(cnf_transformation,[status(esa)],[f353_sk]) ).

cnf(f357,axiom,
    ( ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
    | ~ hBOOL(hAPP(V_P,V_x)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).

fof(f357_nnf,plain,
    ! [V_P,V_x,T_a] :
      ( ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
      | ~ hBOOL(hAPP(V_P,V_x)) ),
    inference(nnf_transformation,[status(thm)],[f357]) ).

fof(f357_sk,plain,
    ! [V_P,V_x,T_a] :
      ( ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))
      | ~ hBOOL(hAPP(V_P,V_x)) ),
    inference(skolemisation,[status(esa)],[f357_nnf]) ).

cnf(c357,plain,
    ( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | ~ hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f357_sk]) ).

cnf(f365,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
    | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
    | ~ class_HOL_Oord(T_b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_1) ).

fof(f365_nnf,plain,
    ! [T_b,T_a,V_g,V_f] :
      ( ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
      | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
      | ~ class_HOL_Oord(T_b) ),
    inference(nnf_transformation,[status(thm)],[f365]) ).

fof(f365_sk,plain,
    ! [T_b,T_a,V_g,V_f] :
      ( ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b))
      | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f))
      | ~ class_HOL_Oord(T_b) ),
    inference(skolemisation,[status(esa)],[f365_nnf]) ).

cnf(c365,plain,
    ( ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X1,X0))
    | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,X0)),X2),X3))
    | ~ class_HOL_Oord(X0) ),
    inference(cnf_transformation,[status(esa)],[f365_sk]) ).

cnf(f433,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
    | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeastLessThan__empty__iff_0) ).

fof(f433_nnf,plain,
    ! [T_a,V_a,V_b] :
      ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f433]) ).

fof(f433_sk,plain,
    ! [T_a,V_a,V_b] :
      ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f433_nnf]) ).

cnf(c433,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f433_sk]) ).

cnf(f435,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
    | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_greaterThanAtMost__empty__iff2_0) ).

fof(f435_nnf,plain,
    ! [T_a,V_k,V_l] :
      ( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
      | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f435]) ).

fof(f435_sk,plain,
    ! [T_a,V_k,V_l] :
      ( ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a)
      | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f435_nnf]) ).

cnf(c435,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(X1,X2,X0)
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f435_sk]) ).

cnf(f469,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
    | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).

fof(f469_nnf,plain,
    ! [T_a,V_a,V_b] :
      ( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f469]) ).

fof(f469_sk,plain,
    ! [T_a,V_a,V_b] :
      ( ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
      | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f469_nnf]) ).

cnf(c469,plain,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f469_sk]) ).

cnf(f470,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
    | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
    | ~ class_Orderings_Olinorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).

fof(f470_nnf,plain,
    ! [T_a,V_x,V_y] :
      ( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f470]) ).

fof(f470_sk,plain,
    ! [T_a,V_x,V_y] :
      ( ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
      | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ class_Orderings_Olinorder(T_a) ),
    inference(skolemisation,[status(esa)],[f470_nnf]) ).

cnf(c470,plain,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f470_sk]) ).

cnf(f471,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
    | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
    | ~ class_Orderings_Opreorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_0) ).

fof(f471_nnf,plain,
    ! [T_a,V_y,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f471]) ).

fof(f471_sk,plain,
    ! [T_a,V_y,V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a)
      | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a)
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(skolemisation,[status(esa)],[f471_nnf]) ).

cnf(c471,plain,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | ~ class_Orderings_Opreorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f471_sk]) ).

cnf(f472,axiom,
    ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
    | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
    | ~ class_Orderings_Opreorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).

fof(f472_nnf,plain,
    ! [T_a,V_b,V_a] :
      ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f472]) ).

fof(f472_sk,plain,
    ! [T_a,V_b,V_a] :
      ( ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a)
      | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a)
      | ~ class_Orderings_Opreorder(T_a) ),
    inference(skolemisation,[status(esa)],[f472_nnf]) ).

cnf(c472,plain,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X0)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
    | ~ class_Orderings_Opreorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f472_sk]) ).

cnf(f518,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
    | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff_0) ).

fof(f518_nnf,plain,
    ! [T_a,V_a,V_b] :
      ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
      | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f518]) ).

fof(f518_sk,plain,
    ! [T_a,V_a,V_b] :
      ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
      | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f518_nnf]) ).

cnf(c518,plain,
    ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
    | c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X0) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f518_sk]) ).

cnf(f520,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
    | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
    | ~ class_Orderings_Oorder(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeastatMost__empty__iff2_0) ).

fof(f520_nnf,plain,
    ! [T_a,V_a,V_b] :
      ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
      | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(nnf_transformation,[status(thm)],[f520]) ).

fof(f520_sk,plain,
    ! [T_a,V_a,V_b] :
      ( ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b))
      | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)
      | ~ class_Orderings_Oorder(T_a) ),
    inference(skolemisation,[status(esa)],[f520_nnf]) ).

cnf(c520,plain,
    ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
    | c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(X1,X2,X0)
    | ~ class_Orderings_Oorder(X0) ),
    inference(cnf_transformation,[status(esa)],[f520_sk]) ).

cnf(f566,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f566_nnf,plain,
    ! [T_a,V_x] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    inference(nnf_transformation,[status(thm)],[f566]) ).

fof(f566_sk,plain,
    ! [T_a,V_x] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
    inference(skolemisation,[status(esa)],[f566_nnf]) ).

cnf(c566,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
    inference(cnf_transformation,[status(esa)],[f566_sk]) ).

cnf(f574,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f574_nnf,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(nnf_transformation,[status(thm)],[f574]) ).

fof(f574_sk,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(skolemisation,[status(esa)],[f574_nnf]) ).

cnf(c574,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(cnf_transformation,[status(esa)],[f574_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c70,c114,c173,c206,c256,c265,c266,c267,c268,c299,c301,c303,c305,c334,c336,c337,c338,c343,c347,c353,c357,c365,c433,c435,c469,c470,c471,c472,c518,c520,c566,c574]) ).

cnf(g0_0,plain,
    true != ifeq(c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),true,false,true),
    inference(rw,[status(thm)],[goal_0]) ).

cnf(g0_1,plain,
    true != ifeq(c_Hoare__Mirabelle_Ohoare__derivs(v_x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),true,false,class_Lattices_Olower__semilattice(tc_bool)),
    inference(rw,[status(thm)],[g0_0,t1565]) ).

cnf(g0_2,plain,
    true != ifeq(true,true,false,class_Lattices_Olower__semilattice(tc_bool)),
    inference(rw,[status(thm)],[g0_1,t1579]) ).

cnf(g0_3,plain,
    true != false,
    inference(rw,[status(thm)],[g0_2,t254]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV835-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/15.58  % Computer : n012.cluster.edu
% 0.10/15.58  % Model    : x86_64 x86_64
% 0.10/15.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.58  % Memory   : 8046.5625MB
% 0.10/15.58  % OS       : Linux 6.8.0-71-generic
% 0.10/15.58  % CPULimit : 300
% 0.10/15.58  % WCLimit  : 300
% 0.10/15.58  % DateTime : Thu Sep 24 21:08:38 UTC 2026
% 0.10/15.58  % CPUTime  : 
% 0.10/15.58  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.58/18.15  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.58/18.15  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------