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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWV558-1.007 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n006.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 02:49:04 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.41s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  191 ( 150 unt;   2 def)
%            Number of atoms       :  232 ( 191 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   79 (  38   ~;  39   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   39 (  39 usr;  37 con; 0-3 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,I,E] : select(store(A,I,E),I) = E,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [I,J,A,E] :
      ( select(store(A,I,E),J) = select(A,J)
      | I = J ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,I] : store(A,I,select(A,I)) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    a_29 = store(a1,i1,e_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    a_31 = store(a2,i1,e_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    a_33 = store(a_29,i2,e_32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    a_35 = store(a_31,i2,e_34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    a_37 = store(a_33,i3,e_36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    a_39 = store(a_35,i3,e_38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    a_41 = store(a_37,i4,e_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,hypothesis,
    a_43 = store(a_39,i4,e_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,hypothesis,
    a_45 = store(a_41,i5,e_44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    a_47 = store(a_43,i5,e_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    a_49 = store(a_45,i6,e_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    a_51 = store(a_47,i6,e_50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    a_53 = store(a_49,i7,e_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    a_55 = store(a_51,i7,e_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    e_28 = select(a2,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,hypothesis,
    e_30 = select(a1,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,hypothesis,
    e_32 = select(a_31,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,hypothesis,
    e_34 = select(a_29,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,hypothesis,
    e_36 = select(a_35,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,hypothesis,
    e_38 = select(a_33,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,hypothesis,
    e_40 = select(a_39,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    e_42 = select(a_37,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,hypothesis,
    e_44 = select(a_43,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,hypothesis,
    e_46 = select(a_41,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,hypothesis,
    e_48 = select(a_47,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,hypothesis,
    e_50 = select(a_45,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,hypothesis,
    e_52 = select(a_51,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,hypothesis,
    e_54 = select(a_49,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,hypothesis,
    a_53 = a_55,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    a1 != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,plain,
    ! [X0,X1,X2] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f37,plain,
    ! [I,J] :
      ( ! [A,E] : select(store(A,I,E),J) = select(A,J)
      | I = J ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f38,plain,
    ! [X0,X1,X2,X3] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f39,plain,
    ! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f43,plain,
    a_29 = store(a1,i1,e_28),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f44,plain,
    a_31 = store(a2,i1,e_30),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f45,plain,
    a_33 = store(a_29,i2,e_32),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f46,plain,
    a_35 = store(a_31,i2,e_34),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f47,plain,
    a_37 = store(a_33,i3,e_36),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f48,plain,
    a_39 = store(a_35,i3,e_38),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f49,plain,
    a_41 = store(a_37,i4,e_40),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f50,plain,
    a_43 = store(a_39,i4,e_42),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f51,plain,
    a_45 = store(a_41,i5,e_44),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f52,plain,
    a_47 = store(a_43,i5,e_46),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f53,plain,
    a_49 = store(a_45,i6,e_48),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f54,plain,
    a_51 = store(a_47,i6,e_50),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f55,plain,
    a_53 = store(a_49,i7,e_52),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f56,plain,
    a_55 = store(a_51,i7,e_54),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f57,plain,
    e_28 = select(a2,i1),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f58,plain,
    e_30 = select(a1,i1),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f59,plain,
    e_32 = select(a_31,i2),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f60,plain,
    e_34 = select(a_29,i2),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f61,plain,
    e_36 = select(a_35,i3),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f62,plain,
    e_38 = select(a_33,i3),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f63,plain,
    e_40 = select(a_39,i4),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f64,plain,
    e_42 = select(a_37,i4),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f65,plain,
    e_44 = select(a_43,i5),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f66,plain,
    e_46 = select(a_41,i5),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f67,plain,
    e_48 = select(a_47,i6),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f68,plain,
    e_50 = select(a_45,i6),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f69,plain,
    e_52 = select(a_51,i7),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f70,plain,
    e_54 = select(a_49,i7),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f71,plain,
    a_53 = a_55,
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f72,plain,
    a1 != a2,
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f76,plain,
    store(a_45,i6,e_50) = a_45,
    inference(paramodulation,[status(thm)],[f68,f39]) ).

fof(f77,plain,
    store(a_47,i6,e_48) = a_47,
    inference(paramodulation,[status(thm)],[f67,f39]) ).

fof(f78,plain,
    store(a_41,i5,e_46) = a_41,
    inference(paramodulation,[status(thm)],[f66,f39]) ).

fof(f79,plain,
    store(a_43,i5,e_44) = a_43,
    inference(paramodulation,[status(thm)],[f65,f39]) ).

fof(f80,plain,
    store(a_37,i4,e_42) = a_37,
    inference(paramodulation,[status(thm)],[f64,f39]) ).

fof(f81,plain,
    store(a_39,i4,e_40) = a_39,
    inference(paramodulation,[status(thm)],[f63,f39]) ).

fof(f82,plain,
    store(a_33,i3,e_38) = a_33,
    inference(paramodulation,[status(thm)],[f62,f39]) ).

fof(f83,plain,
    store(a_35,i3,e_36) = a_35,
    inference(paramodulation,[status(thm)],[f61,f39]) ).

fof(f84,plain,
    store(a_29,i2,e_34) = a_29,
    inference(paramodulation,[status(thm)],[f60,f39]) ).

fof(f92,plain,
    store(a_49,i7,e_54) = a_49,
    inference(paramodulation,[status(thm)],[f70,f39]) ).

fof(f94,plain,
    select(a_29,i1) = e_28,
    inference(paramodulation,[status(thm)],[f43,f36]) ).

fof(f97,plain,
    select(a_31,i1) = e_30,
    inference(paramodulation,[status(thm)],[f44,f36]) ).

fof(f100,plain,
    select(a_33,i2) = e_32,
    inference(paramodulation,[status(thm)],[f45,f36]) ).

fof(f102,plain,
    ! [X0] :
      ( select(a_35,X0) = select(a_31,X0)
      | i2 = X0 ),
    inference(paramodulation,[status(thm)],[f46,f38]) ).

fof(f103,plain,
    select(a_35,i2) = e_34,
    inference(paramodulation,[status(thm)],[f46,f36]) ).

fof(f106,plain,
    select(a_37,i3) = e_36,
    inference(paramodulation,[status(thm)],[f47,f36]) ).

fof(f109,plain,
    select(a_39,i3) = e_38,
    inference(paramodulation,[status(thm)],[f48,f36]) ).

fof(f112,plain,
    select(a_41,i4) = e_40,
    inference(paramodulation,[status(thm)],[f49,f36]) ).

fof(f168,plain,
    select(a_43,i4) = e_42,
    inference(paramodulation,[status(thm)],[f50,f36]) ).

fof(f174,plain,
    select(a_45,i5) = e_44,
    inference(paramodulation,[status(thm)],[f51,f36]) ).

fof(f180,plain,
    select(a_47,i5) = e_46,
    inference(paramodulation,[status(thm)],[f52,f36]) ).

fof(f186,plain,
    select(a_49,i6) = e_48,
    inference(paramodulation,[status(thm)],[f53,f36]) ).

fof(f192,plain,
    select(a_51,i6) = e_50,
    inference(paramodulation,[status(thm)],[f54,f36]) ).

fof(f194,plain,
    a_55 = store(a_49,i7,e_52),
    inference(forward_demodulation,[status(thm)],[f71,f55]) ).

fof(f199,plain,
    select(a_55,i7) = e_52,
    inference(paramodulation,[status(thm)],[f194,f36]) ).

fof(f205,plain,
    select(a_55,i7) = e_54,
    inference(paramodulation,[status(thm)],[f56,f36]) ).

fof(f206,plain,
    e_52 = e_54,
    inference(forward_demodulation,[status(thm)],[f199,f205]) ).

fof(f208,plain,
    a_55 = store(a_49,i7,e_54),
    inference(backward_demodulation,[status(thm)],[f206,f194]) ).

fof(f209,plain,
    e_54 = select(a_51,i7),
    inference(backward_demodulation,[status(thm)],[f206,f69]) ).

fof(f211,plain,
    store(a_51,i7,e_54) = a_51,
    inference(paramodulation,[status(thm)],[f209,f39]) ).

fof(f212,plain,
    a_55 = a_51,
    inference(forward_demodulation,[status(thm)],[f56,f211]) ).

fof(f215,plain,
    select(a_55,i6) = e_50,
    inference(backward_demodulation,[status(thm)],[f212,f192]) ).

fof(f216,plain,
    a_55 = store(a_47,i6,e_50),
    inference(backward_demodulation,[status(thm)],[f212,f54]) ).

fof(f292,plain,
    select(a_55,i6) = e_48,
    inference(backward_demodulation,[status(thm)],[f295,f186]) ).

fof(f293,plain,
    a_55 = store(a_45,i6,e_48),
    inference(backward_demodulation,[status(thm)],[f295,f53]) ).

fof(f295,plain,
    a_55 = a_49,
    inference(forward_demodulation,[status(thm)],[f208,f92]) ).

fof(f296,plain,
    e_50 = e_48,
    inference(forward_demodulation,[status(thm)],[f215,f292]) ).

fof(f403,plain,
    a_55 = store(a_45,i6,e_50),
    inference(backward_demodulation,[status(thm)],[f296,f293]) ).

fof(f404,plain,
    store(a_47,i6,e_50) = a_47,
    inference(backward_demodulation,[status(thm)],[f296,f77]) ).

fof(f406,plain,
    a_55 = a_45,
    inference(forward_demodulation,[status(thm)],[f76,f403]) ).

fof(f407,plain,
    a_55 = a_47,
    inference(forward_demodulation,[status(thm)],[f216,f404]) ).

fof(f409,plain,
    select(a_55,i5) = e_44,
    inference(backward_demodulation,[status(thm)],[f406,f174]) ).

fof(f410,plain,
    a_55 = store(a_41,i5,e_44),
    inference(backward_demodulation,[status(thm)],[f406,f51]) ).

fof(f414,plain,
    select(a_55,i5) = e_46,
    inference(backward_demodulation,[status(thm)],[f407,f180]) ).

fof(f415,plain,
    a_55 = store(a_43,i5,e_46),
    inference(backward_demodulation,[status(thm)],[f407,f52]) ).

fof(f427,plain,
    a_55 = store(a_41,i5,e_46),
    inference(backward_demodulation,[status(thm)],[f430,f410]) ).

fof(f428,plain,
    store(a_43,i5,e_46) = a_43,
    inference(backward_demodulation,[status(thm)],[f430,f79]) ).

fof(f430,plain,
    e_44 = e_46,
    inference(forward_demodulation,[status(thm)],[f409,f414]) ).

fof(f431,plain,
    a_55 = a_41,
    inference(forward_demodulation,[status(thm)],[f78,f427]) ).

fof(f433,plain,
    select(a_55,i4) = e_40,
    inference(backward_demodulation,[status(thm)],[f431,f112]) ).

fof(f434,plain,
    a_55 = store(a_37,i4,e_40),
    inference(backward_demodulation,[status(thm)],[f431,f49]) ).

fof(f555,definition,
    ( sQ2_spl
  <=> i1 = i2 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f556,plain,
    ( ~ sQ2_spl
    | i1 = i2 ),
    inference(component_clause,[status(thm)],[f555]) ).

fof(f569,plain,
    ( ~ sQ2_spl
    | select(a_31,i2) = e_30 ),
    inference(backward_demodulation,[status(thm)],[f556,f97]) ).

fof(f570,plain,
    ( ~ sQ2_spl
    | a_31 = store(a2,i2,e_30) ),
    inference(backward_demodulation,[status(thm)],[f556,f44]) ).

fof(f571,plain,
    ( ~ sQ2_spl
    | select(a_29,i2) = e_28 ),
    inference(backward_demodulation,[status(thm)],[f556,f94]) ).

fof(f572,plain,
    ( ~ sQ2_spl
    | a_29 = store(a1,i2,e_28) ),
    inference(backward_demodulation,[status(thm)],[f556,f43]) ).

fof(f575,plain,
    ( ~ sQ2_spl
    | e_32 = e_30 ),
    inference(forward_demodulation,[status(thm)],[f59,f569]) ).

fof(f576,plain,
    ( ~ sQ2_spl
    | e_34 = e_28 ),
    inference(forward_demodulation,[status(thm)],[f60,f571]) ).

fof(f583,plain,
    ( ~ sQ2_spl
    | a_31 = store(a2,i2,e_32) ),
    inference(forward_demodulation,[status(thm)],[f575,f570]) ).

fof(f594,plain,
    select(a_55,i4) = e_42,
    inference(backward_demodulation,[status(thm)],[f596,f168]) ).

fof(f595,plain,
    a_55 = store(a_39,i4,e_42),
    inference(backward_demodulation,[status(thm)],[f596,f50]) ).

fof(f596,plain,
    a_55 = a_43,
    inference(forward_demodulation,[status(thm)],[f415,f428]) ).

fof(f598,plain,
    e_40 = e_42,
    inference(forward_demodulation,[status(thm)],[f433,f594]) ).

fof(f599,plain,
    a_55 = store(a_37,i4,e_42),
    inference(backward_demodulation,[status(thm)],[f598,f434]) ).

fof(f602,plain,
    store(a_39,i4,e_42) = a_39,
    inference(backward_demodulation,[status(thm)],[f598,f81]) ).

fof(f604,plain,
    a_55 = a_37,
    inference(forward_demodulation,[status(thm)],[f80,f599]) ).

fof(f607,plain,
    select(a_55,i3) = e_36,
    inference(backward_demodulation,[status(thm)],[f604,f106]) ).

fof(f608,plain,
    a_55 = store(a_33,i3,e_36),
    inference(backward_demodulation,[status(thm)],[f604,f47]) ).

fof(f620,plain,
    ( ~ sQ2_spl
    | a_29 = store(a1,i2,e_34) ),
    inference(forward_demodulation,[status(thm)],[f576,f572]) ).

fof(f664,plain,
    select(a_55,i3) = e_38,
    inference(backward_demodulation,[status(thm)],[f666,f109]) ).

fof(f665,plain,
    a_55 = store(a_35,i3,e_38),
    inference(backward_demodulation,[status(thm)],[f666,f48]) ).

fof(f666,plain,
    a_55 = a_39,
    inference(forward_demodulation,[status(thm)],[f595,f602]) ).

fof(f668,plain,
    e_36 = e_38,
    inference(forward_demodulation,[status(thm)],[f607,f664]) ).

fof(f670,plain,
    store(a_35,i3,e_38) = a_35,
    inference(backward_demodulation,[status(thm)],[f668,f83]) ).

fof(f684,plain,
    a_55 = store(a_33,i3,e_38),
    inference(forward_demodulation,[status(thm)],[f668,f608]) ).

fof(f687,plain,
    select(a_55,i2) = e_32,
    inference(backward_demodulation,[status(thm)],[f690,f100]) ).

fof(f688,plain,
    a_55 = store(a_29,i2,e_32),
    inference(backward_demodulation,[status(thm)],[f690,f45]) ).

fof(f690,plain,
    a_55 = a_33,
    inference(forward_demodulation,[status(thm)],[f82,f684]) ).

fof(f730,plain,
    store(a_31,i1,e_30) = a_31,
    inference(paramodulation,[status(thm)],[f97,f39]) ).

fof(f734,plain,
    store(a1,i1,e_30) = a1,
    inference(paramodulation,[status(thm)],[f58,f39]) ).

fof(f736,plain,
    store(a2,i1,e_28) = a2,
    inference(paramodulation,[status(thm)],[f57,f39]) ).

fof(f740,plain,
    select(a_55,i2) = e_34,
    inference(backward_demodulation,[status(thm)],[f742,f103]) ).

fof(f741,plain,
    a_55 = store(a_31,i2,e_34),
    inference(backward_demodulation,[status(thm)],[f742,f46]) ).

fof(f742,plain,
    a_55 = a_35,
    inference(forward_demodulation,[status(thm)],[f665,f670]) ).

fof(f744,plain,
    e_32 = e_34,
    inference(forward_demodulation,[status(thm)],[f687,f740]) ).

fof(f747,plain,
    a_55 = store(a_29,i2,e_34),
    inference(backward_demodulation,[status(thm)],[f744,f688]) ).

fof(f749,plain,
    e_34 = select(a_31,i2),
    inference(backward_demodulation,[status(thm)],[f744,f59]) ).

fof(f750,plain,
    a_55 = a_29,
    inference(forward_demodulation,[status(thm)],[f84,f747]) ).

fof(f751,plain,
    select(a_55,i1) = e_28,
    inference(backward_demodulation,[status(thm)],[f750,f94]) ).

fof(f762,plain,
    a_55 = store(a1,i1,e_28),
    inference(forward_demodulation,[status(thm)],[f750,f43]) ).

fof(f775,plain,
    store(a_31,i2,e_34) = a_31,
    inference(paramodulation,[status(thm)],[f749,f39]) ).

fof(f834,plain,
    ! [X0] :
      ( select(a_55,X0) = select(a_31,X0)
      | i2 = X0 ),
    inference(forward_demodulation,[status(thm)],[f742,f102]) ).

fof(f836,plain,
    ( select(a_55,i1) = e_30
    | i2 = i1 ),
    inference(paramodulation,[status(thm)],[f97,f834]) ).

fof(f845,definition,
    ( sQ7_spl
  <=> select(a_55,i1) = e_30 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f846,plain,
    ( ~ sQ7_spl
    | select(a_55,i1) = e_30 ),
    inference(component_clause,[status(thm)],[f845]) ).

fof(f848,plain,
    ( sQ7_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f836,f555,f845]) ).

fof(f852,plain,
    ( ~ sQ2_spl
    | e_34 = e_30 ),
    inference(forward_demodulation,[status(thm)],[f744,f575]) ).

fof(f855,plain,
    ( ~ sQ2_spl
    | a_31 = store(a2,i2,e_34) ),
    inference(forward_demodulation,[status(thm)],[f744,f583]) ).

fof(f858,plain,
    ( ~ sQ2_spl
    | a_55 = store(a1,i2,e_34) ),
    inference(forward_demodulation,[status(thm)],[f750,f620]) ).

fof(f886,plain,
    ( ~ sQ2_spl
    | store(a_31,i2,e_30) = a_31 ),
    inference(forward_demodulation,[status(thm)],[f556,f730]) ).

fof(f887,plain,
    ( ~ sQ2_spl
    | store(a_31,i2,e_34) = a_31 ),
    inference(forward_demodulation,[status(thm)],[f852,f886]) ).

fof(f891,plain,
    ( ~ sQ2_spl
    | a_55 = a_31 ),
    inference(forward_demodulation,[status(thm)],[f741,f887]) ).

fof(f896,plain,
    ( ~ sQ2_spl
    | store(a1,i2,e_30) = a1 ),
    inference(forward_demodulation,[status(thm)],[f556,f734]) ).

fof(f897,plain,
    ( ~ sQ2_spl
    | store(a1,i2,e_34) = a1 ),
    inference(forward_demodulation,[status(thm)],[f852,f896]) ).

fof(f905,plain,
    ( ~ sQ2_spl
    | store(a2,i2,e_28) = a2 ),
    inference(forward_demodulation,[status(thm)],[f556,f736]) ).

fof(f906,plain,
    ( ~ sQ2_spl
    | store(a2,i2,e_34) = a2 ),
    inference(forward_demodulation,[status(thm)],[f576,f905]) ).

fof(f916,plain,
    ( ~ sQ2_spl
    | a_55 = store(a2,i2,e_34) ),
    inference(forward_demodulation,[status(thm)],[f891,f855]) ).

fof(f919,plain,
    ( ~ sQ2_spl
    | a1 != a_55 ),
    inference(backward_demodulation,[status(thm)],[f920,f72]) ).

fof(f920,plain,
    ( ~ sQ2_spl
    | a_55 = a2 ),
    inference(forward_demodulation,[status(thm)],[f906,f916]) ).

fof(f926,plain,
    ( ~ sQ2_spl
    | a_55 = a1 ),
    inference(forward_demodulation,[status(thm)],[f897,f858]) ).

fof(f927,plain,
    ( ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f926,f919]) ).

fof(f928,plain,
    ~ sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f927]) ).

fof(f936,plain,
    ( ~ sQ7_spl
    | e_30 = e_28 ),
    inference(forward_demodulation,[status(thm)],[f846,f751]) ).

fof(f966,plain,
    ( ~ sQ7_spl
    | a_55 = store(a1,i1,e_30) ),
    inference(forward_demodulation,[status(thm)],[f936,f762]) ).

fof(f981,plain,
    a_55 = store(a2,i1,e_30),
    inference(backward_demodulation,[status(thm)],[f985,f44]) ).

fof(f985,plain,
    a_55 = a_31,
    inference(forward_demodulation,[status(thm)],[f741,f775]) ).

fof(f988,plain,
    ( ~ sQ7_spl
    | store(a2,i1,e_30) = a2 ),
    inference(forward_demodulation,[status(thm)],[f936,f736]) ).

fof(f1000,plain,
    ( ~ sQ7_spl
    | a_55 != a2 ),
    inference(backward_demodulation,[status(thm)],[f1001,f72]) ).

fof(f1001,plain,
    ( ~ sQ7_spl
    | a_55 = a1 ),
    inference(forward_demodulation,[status(thm)],[f966,f734]) ).

fof(f1003,plain,
    ( ~ sQ7_spl
    | a_55 = a2 ),
    inference(forward_demodulation,[status(thm)],[f988,f981]) ).

fof(f1004,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1003,f1000]) ).

fof(f1005,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f1004]) ).

fof(f1006,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f848,f928,f1005]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV558-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n006.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 09:07:57 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 0.10/0.41  % Refutation found
% 0.10/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44  % Elapsed time: 0.061741 seconds
% 0.10/0.44  % CPU time: 0.224169 seconds
% 0.10/0.44  % Total memory used: 67.306 MB
% 0.10/0.44  % Net memory used: 66.859 MB
%------------------------------------------------------------------------------