%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:58:19 EDT 2024

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1115,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f152,f180,f450,f577,f636,f658,f660,f719,f721,f786,f853,f867,f883,f886,f889,f891,f922,f925,f927,f929,f931,f934,f960,f962,f964,f966,f969,f971,f973,f975,f977,f979,f981,f983,f1043,f1078,f1102,f1104,f1106,f1108,f1110,f1112,f1114]) ).

fof(f1114,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f35,f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174,f38]) ).

fof(f38,plain,
    ( sk_c7 != inverse(sk_c8)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f174,plain,
    ( sk_c8 != inverse(sk_c2)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1100,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26]) ).

fof(f26,axiom,
    ( sk_c8 = inverse(sk_c2)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f1099,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f1098,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f1097,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c4 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f1096,plain,
    ( sk_c8 = inverse(sk_c2)
    | spl0_2 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f1095,plain,
    ( sk_c7 != inverse(sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f30,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31]) ).

fof(f31,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(inverse(X6))
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | inverse(X6) != multiply(X6,sk_c8) ),
    inference(global_subsumption,[],[f4,f23,f5,f17,f11,f6,f24,f18,f12,f27,f9,f26,f8,f21,f28,f10,f7,f25,f15,f20,f14,f22,f19,f16,f13,f30]) ).

fof(f1094,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f1093,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f1092,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | sk_c4 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f1091,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f22,f53,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19]) ).

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f1090,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f22,f19,f53,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f1089,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f22,f19,f53,f21,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20]) ).

fof(f20,axiom,
    ( inverse(sk_c5) = sk_c4
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f295,plain,
    sk_c7 = multiply(inverse(sk_c8),sk_c6),
    inference(superposition,[],[f62,f4]) ).

fof(f1088,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f1087,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c1)
    | inverse(sk_c5) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f1086,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f1085,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f9,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f1084,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f9,f7,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10]) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c4 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f1083,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f9,f7,f10,f12,f13,f1080,f16,f1081,f15,f1082,f14]) ).

fof(f14,axiom,
    ( inverse(sk_c5) = sk_c4
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f1082,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f9,f7,f10,f14,f12,f13,f1080,f16,f1081,f15]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f1081,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f9,f7,f10,f14,f15,f12,f13,f1080,f16]) ).

fof(f16,axiom,
    ( sk_c4 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f1080,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f680,f681,f685,f686,f687,f664,f705,f6,f8,f9,f7,f10,f14,f15,f16,f12,f13]) ).

fof(f13,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f705,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_2 ),
    inference(superposition,[],[f3,f664]) ).

fof(f664,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f11,f38]) ).

fof(f687,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f664,f16,f680,f13,f681,f15,f685,f14,f686,f12]) ).

fof(f686,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f12,f10,f7,f27,f26,f9,f8,f6,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f664,f16,f680,f13,f681,f15,f685,f14]) ).

fof(f685,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f664,f16,f680,f13,f681,f15]) ).

fof(f681,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f28,f25,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f664,f16,f680,f13]) ).

fof(f680,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_2 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f13,f28,f25,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f38,f664,f16]) ).

fof(f53,plain,
    ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0),
    inference(superposition,[],[f3,f4]) ).

fof(f518,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f3,f385]) ).

fof(f511,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[],[f385,f3]) ).

fof(f385,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f288,f62]) ).

fof(f466,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f384]) ).

fof(f482,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f464,f1]) ).

fof(f464,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
    inference(superposition,[],[f3,f384]) ).

fof(f458,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f384,f3]) ).

fof(f384,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f288,f2]) ).

fof(f446,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f401]) ).

fof(f445,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f62,f401]) ).

fof(f401,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f381,f287]) ).

fof(f430,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f415,f381]) ).

fof(f415,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f288,f381]) ).

fof(f412,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f287,f381]) ).

fof(f426,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[],[f404,f381]) ).

fof(f404,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
    inference(superposition,[],[f381,f288]) ).

fof(f381,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f288,f287]) ).

fof(f391,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(superposition,[],[f62,f288]) ).

fof(f390,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f62,f288]) ).

fof(f389,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f288]) ).

fof(f386,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f287,f288]) ).

fof(f288,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f62,f62]) ).

fof(f374,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f366,f1]) ).

fof(f366,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
    inference(superposition,[],[f3,f338]) ).

fof(f365,plain,
    ! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
    inference(superposition,[],[f62,f338]) ).

fof(f338,plain,
    ! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
    inference(superposition,[],[f62,f287]) ).

fof(f346,plain,
    identity = inverse(identity),
    inference(superposition,[],[f332,f2]) ).

fof(f350,plain,
    ! [X0] : multiply(inverse(inverse(inverse(identity))),X0) = X0,
    inference(superposition,[],[f62,f332]) ).

fof(f348,plain,
    identity = inverse(identity),
    inference(superposition,[],[f2,f332]) ).

fof(f332,plain,
    ! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[],[f62,f285]) ).

fof(f345,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f339,f1]) ).

fof(f339,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
    inference(superposition,[],[f3,f287]) ).

fof(f287,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f62,f2]) ).

fof(f285,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f62,f1]) ).

fof(f286,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[],[f62,f3]) ).

fof(f62,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f52,f1]) ).

fof(f52,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f4,axiom,
    multiply(sk_c8,sk_c7) = sk_c6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f30,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(inverse(X6))
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(sk_c8,sk_c7) != sk_c6
      | inverse(X6) != multiply(X6,sk_c8) ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X4)
      | inverse(X6) != X7
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != multiply(X5,sk_c7)
      | multiply(sk_c8,sk_c7) != sk_c6
      | multiply(X6,sk_c8) != X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f35,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1112,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1111]) ).

fof(f1111,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f437,f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174,f38]) ).

fof(f437,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f401,f35]) ).

fof(f1110,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1109,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f598,f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174,f38]) ).

fof(f598,plain,
    ( sk_c7 != sk_c1
    | ~ spl0_1
    | spl0_2 ),
    inference(superposition,[],[f38,f437]) ).

fof(f1108,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1107,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | ~ spl0_7 ),
    inference(global_subsumption,[],[f698,f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174,f38]) ).

fof(f698,plain,
    ( sk_c1 = sk_c3
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f697,f381]) ).

fof(f697,plain,
    ( sk_c3 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f691,f437]) ).

fof(f691,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl0_7 ),
    inference(superposition,[],[f287,f179]) ).

fof(f179,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1106,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f1105]) ).

fof(f1105,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_6
    | spl0_9 ),
    inference(global_subsumption,[],[f639,f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174,f38]) ).

fof(f639,plain,
    ( sk_c8 != sk_c1
    | ~ spl0_1
    | spl0_9 ),
    inference(superposition,[],[f635,f437]) ).

fof(f635,plain,
    ( sk_c8 != inverse(sk_c8)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f633,plain,
    ( spl0_9
  <=> sk_c8 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1104,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1103]) ).

fof(f1103,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174,f38]) ).

fof(f1102,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f1101]) ).

fof(f1101,plain,
    ( $false
    | spl0_2
    | spl0_6 ),
    inference(global_subsumption,[],[f30,f4,f1,f2,f5,f3,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f53,f38,f680,f681,f685,f686,f687,f664,f705,f6,f12,f13,f1080,f16,f1081,f15,f1082,f14,f1083,f10,f1084,f7,f1085,f9,f1086,f8,f1087,f18,f1088,f295,f20,f1089,f21,f1090,f19,f1091,f22,f1092,f17,f1093,f11,f1094,f31,f1095,f23,f1096,f28,f1097,f25,f1098,f27,f1099,f26,f1100,f174]) ).

fof(f1078,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f1077]) ).

fof(f1077,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1076,f401]) ).

fof(f1076,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f1065,f39]) ).

fof(f39,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f1065,plain,
    ( sk_c7 != inverse(sk_c8)
    | sk_c8 != inverse(inverse(sk_c8))
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f148,f1032]) ).

fof(f1032,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1031,f108]) ).

fof(f108,plain,
    ( sk_c7 = sk_c3
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f106,f67]) ).

fof(f67,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | spl0_1 ),
    inference(superposition,[],[f63,f48]) ).

fof(f48,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f7,f34]) ).

fof(f34,plain,
    ( sk_c8 != inverse(sk_c1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f63,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f54,f1]) ).

fof(f54,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f43]) ).

fof(f43,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | spl0_1 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c8 = inverse(sk_c3)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f6,f34]) ).

fof(f106,plain,
    ( sk_c3 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f104]) ).

fof(f104,plain,
    ( sk_c8 = multiply(sk_c3,sk_c3)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f101,f88]) ).

fof(f88,plain,
    ( sk_c3 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f82,f81]) ).

fof(f81,plain,
    ( sk_c3 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f43]) ).

fof(f65,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f56,f1]) ).

fof(f56,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f41]) ).

fof(f41,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f39]) ).

fof(f82,plain,
    ( sk_c4 = multiply(sk_c7,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f47]) ).

fof(f47,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | spl0_1 ),
    inference(superposition,[],[f2,f46]) ).

fof(f46,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f9,f34]) ).

fof(f101,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f100,f49]) ).

fof(f49,plain,
    ( sk_c4 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f10,f34]) ).

fof(f100,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = X0
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f66,f88]) ).

fof(f66,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f59,f1]) ).

fof(f59,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f45,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | spl0_1 ),
    inference(superposition,[],[f2,f44]) ).

fof(f44,plain,
    ( inverse(sk_c5) = sk_c4
    | spl0_1 ),
    inference(subsumption_resolution,[],[f8,f34]) ).

fof(f1031,plain,
    ( sk_c3 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1030,f88]) ).

fof(f1030,plain,
    ( sk_c4 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f988,f1024]) ).

fof(f1024,plain,
    ( sk_c8 = sk_c5
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1023,f381]) ).

fof(f1023,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1017,f435]) ).

fof(f435,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f39]) ).

fof(f1017,plain,
    ( sk_c5 = multiply(inverse(sk_c7),identity)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f287,f1001]) ).

fof(f1001,plain,
    ( sk_c7 = inverse(sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1000,f108]) ).

fof(f1000,plain,
    ( sk_c3 = inverse(sk_c5)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f44,f88]) ).

fof(f988,plain,
    ( sk_c4 = multiply(sk_c5,sk_c8)
    | spl0_1 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f12,f13,f16,f15,f14,f34,f42,f44,f46,f6,f8,f985,f9,f986,f7,f987,f10]) ).

fof(f987,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | spl0_1 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f12,f13,f16,f15,f14,f10,f34,f42,f44,f46,f6,f8,f985,f9,f986,f7]) ).

fof(f986,plain,
    ( sk_c8 = inverse(sk_c4)
    | spl0_1 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f12,f13,f16,f15,f14,f10,f7,f34,f42,f44,f46,f6,f8,f985,f9]) ).

fof(f985,plain,
    ( inverse(sk_c5) = sk_c4
    | spl0_1 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f24,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f19,f53,f21,f20,f17,f12,f13,f16,f15,f14,f10,f7,f9,f34,f42,f44,f46,f6,f8]) ).

fof(f75,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,X0)
    | spl0_1 ),
    inference(forward_demodulation,[],[f74,f1]) ).

fof(f74,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c8,multiply(identity,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f71]) ).

fof(f71,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | spl0_1 ),
    inference(superposition,[],[f64,f45]) ).

fof(f64,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | spl0_1 ),
    inference(forward_demodulation,[],[f55,f1]) ).

fof(f55,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f47]) ).

fof(f70,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f67]) ).

fof(f58,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f49]) ).

fof(f57,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | spl0_1 ),
    inference(superposition,[],[f3,f48]) ).

fof(f148,plain,
    ( ! [X6] :
        ( inverse(X6) != multiply(X6,sk_c8)
        | sk_c8 != inverse(inverse(X6)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl0_4
  <=> ! [X6] :
        ( sk_c8 != inverse(inverse(X6))
        | inverse(X6) != multiply(X6,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1043,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

fof(f1042,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1041,f435]) ).

fof(f1041,plain,
    ( sk_c8 != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f1038]) ).

fof(f1038,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c7)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f145,f1029]) ).

fof(f1029,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f987,f108]) ).

fof(f145,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(X5,sk_c7)
        | sk_c8 != inverse(X5) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl0_3
  <=> ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f983,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f42,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967,f46,f44,f34]) ).

fof(f967,plain,
    ( sk_c8 = inverse(sk_c1)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f6,f178]) ).

fof(f923,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f12,f178]) ).

fof(f178,plain,
    ( sk_c8 != inverse(sk_c3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f597,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f3,f16,f13,f28,f25,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f178,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17]) ).

fof(f198,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f18,f178]) ).

fof(f596,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f17,f11,f30,f31,f4,f1,f2,f5,f3,f16,f13,f28,f25,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f178,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20]) ).

fof(f595,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f17,f11,f30,f31,f4,f1,f2,f5,f3,f16,f13,f28,f25,f20,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f178,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21]) ).

fof(f193,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | spl0_7 ),
    inference(superposition,[],[f3,f189]) ).

fof(f594,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f17,f11,f30,f31,f4,f1,f2,f5,f3,f53,f16,f13,f28,f25,f21,f20,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f178,f189,f193,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19]) ).

fof(f593,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f17,f11,f30,f31,f4,f1,f2,f5,f3,f53,f19,f16,f13,f28,f25,f21,f20,f18,f15,f14,f12,f10,f7,f27,f26,f9,f8,f6,f24,f178,f189,f193,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22]) ).

fof(f189,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f12,f178]) ).

fof(f981,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f980]) ).

fof(f980,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(subsumption_resolution,[],[f42,f178]) ).

fof(f979,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f978]) ).

fof(f978,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f88,f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967,f46,f44]) ).

fof(f977,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967,f46,f44]) ).

fof(f975,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f974]) ).

fof(f974,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f132,f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967,f46]) ).

fof(f132,plain,
    ( sk_c7 = sk_c4
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f67]) ).

fof(f128,plain,
    ( sk_c4 = multiply(sk_c8,sk_c8)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f102,f49]) ).

fof(f102,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,X0)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f63,f100]) ).

fof(f973,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f972,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967,f46]) ).

fof(f971,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f970]) ).

fof(f970,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f108,f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967]) ).

fof(f969,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f968]) ).

fof(f968,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8,f967]) ).

fof(f966,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f965]) ).

fof(f965,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9,f8]) ).

fof(f964,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f963]) ).

fof(f963,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7,f9]) ).

fof(f962,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10,f7]) ).

fof(f960,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f959]) ).

fof(f959,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f7,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14,f10]) ).

fof(f934,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f933,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f178,f923,f13,f16,f15,f14]) ).

fof(f931,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f930]) ).

fof(f930,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f14,f178,f923,f13,f16,f15]) ).

fof(f929,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f928]) ).

fof(f928,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f14,f15,f178,f923,f13,f16]) ).

fof(f927,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f926]) ).

fof(f926,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f12,f14,f15,f16,f178,f923,f13]) ).

fof(f925,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f924]) ).

fof(f924,plain,
    ( $false
    | spl0_1
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f34,f42,f43,f44,f45,f46,f47,f48,f49,f3,f57,f58,f66,f63,f67,f70,f64,f71,f75,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f24,f189,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f295,f22,f593,f19,f594,f193,f53,f21,f595,f20,f596,f198,f17,f597,f13,f12,f14,f15,f16,f178,f923]) ).

fof(f922,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f921]) ).

fof(f921,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f919,f435]) ).

fof(f919,plain,
    ( sk_c8 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f918]) ).

fof(f918,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7 ),
    inference(superposition,[],[f145,f892]) ).

fof(f892,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(global_subsumption,[],[f23,f11,f30,f31,f4,f1,f2,f5,f41,f3,f65,f80,f85,f95,f28,f25,f18,f10,f7,f27,f26,f9,f8,f6,f35,f153,f154,f158,f156,f159,f162,f166,f24,f178,f189,f191,f192,f194,f190,f197,f62,f286,f285,f287,f345,f332,f348,f350,f346,f338,f365,f374,f288,f386,f389,f390,f391,f381,f426,f412,f430,f401,f445,f446,f384,f458,f482,f466,f385,f511,f518,f499,f379,f336,f296,f295,f293,f290,f22,f593,f19,f594,f195,f193,f53,f21,f595,f20,f596,f198,f17,f597,f437,f599,f600,f608,f455,f648,f13,f12,f663,f14,f15,f16,f732,f418,f447,f488,f323,f405,f737,f738,f739,f740,f39,f747,f748,f753,f752,f435,f754,f755,f765,f759,f760,f745,f778,f750,f799,f746,f751,f790,f852]) ).

fof(f852,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | sk_c8 = inverse(sk_c4)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f15,f405]) ).

fof(f790,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | sk_c8 != inverse(inverse(X6))
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | inverse(X6) != multiply(X6,sk_c8) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f789,f323]) ).

fof(f789,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != inverse(inverse(X6))
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | inverse(X6) != multiply(X6,sk_c8) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f31,f39]) ).

fof(f751,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f385,f39]) ).

fof(f746,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f39]) ).

fof(f799,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f796,f1]) ).

fof(f796,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f750]) ).

fof(f750,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f384,f39]) ).

fof(f778,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f775,f1]) ).

fof(f775,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f745]) ).

fof(f745,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f39]) ).

fof(f760,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f385,f435]) ).

fof(f759,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f384,f435]) ).

fof(f765,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f758,f401]) ).

fof(f758,plain,
    ( identity = multiply(inverse(inverse(sk_c8)),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f338,f435]) ).

fof(f755,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f435]) ).

fof(f754,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f435]) ).

fof(f752,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f401,f39]) ).

fof(f753,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f749,f401]) ).

fof(f749,plain,
    ( identity = multiply(inverse(inverse(sk_c7)),sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f338,f39]) ).

fof(f748,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f288,f39]) ).

fof(f747,plain,
    ( sk_c8 = multiply(inverse(sk_c7),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f287,f39]) ).

fof(f740,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f455,f405]) ).

fof(f739,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f156,f405]) ).

fof(f738,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f153,f405]) ).

fof(f737,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f35,f405]) ).

fof(f405,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f381,f154]) ).

fof(f323,plain,
    ( identity = sk_c6
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f304,f2]) ).

fof(f304,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f62,f80]) ).

fof(f488,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f487,f39]) ).

fof(f487,plain,
    ( sk_c1 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f471,f154]) ).

fof(f471,plain,
    ( inverse(sk_c8) = multiply(sk_c7,identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f384]) ).

fof(f447,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f437,f39]) ).

fof(f418,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f154,f381]) ).

fof(f732,plain,
    ( sk_c7 = sk_c1
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f11,f437]) ).

fof(f663,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f295,f437]) ).

fof(f648,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f645,f1]) ).

fof(f645,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f455]) ).

fof(f455,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f384,f35]) ).

fof(f608,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f603,f401]) ).

fof(f603,plain,
    ( identity = multiply(inverse(inverse(sk_c1)),sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f338,f437]) ).

fof(f600,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f437]) ).

fof(f599,plain,
    ( identity = multiply(sk_c1,sk_c8)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f437]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f3,f192]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f156]) ).

fof(f293,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f62,f192]) ).

fof(f296,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f62,f153]) ).

fof(f336,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1 ),
    inference(superposition,[],[f287,f35]) ).

fof(f379,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
    | ~ spl0_1 ),
    inference(superposition,[],[f288,f35]) ).

fof(f499,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | ~ spl0_1 ),
    inference(superposition,[],[f385,f35]) ).

fof(f197,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f3,f190]) ).

fof(f190,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f189,f159]) ).

fof(f194,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f65,f192]) ).

fof(f192,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f156,f189]) ).

fof(f191,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_7 ),
    inference(superposition,[],[f159,f189]) ).

fof(f166,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f162,f41]) ).

fof(f162,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f156,f159]) ).

fof(f159,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f156]) ).

fof(f156,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f155,f1]) ).

fof(f155,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f153]) ).

fof(f158,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f157,f1]) ).

fof(f157,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f154]) ).

fof(f154,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f153]) ).

fof(f153,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f35]) ).

fof(f95,plain,
    ( ! [X3,X6,X4,X5] :
        ( sk_c8 != inverse(inverse(X6))
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c8)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | inverse(X6) != multiply(X6,sk_c8) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f31,f39]) ).

fof(f85,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f80]) ).

fof(f80,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_2 ),
    inference(superposition,[],[f65,f4]) ).

fof(f891,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f878,f35]) ).

fof(f878,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f877]) ).

fof(f877,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f151,f455]) ).

fof(f151,plain,
    ( ! [X4] :
        ( identity != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl0_5
  <=> ! [X4] :
        ( identity != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f889,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f888]) ).

fof(f888,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f879,f435]) ).

fof(f879,plain,
    ( sk_c8 != inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f876]) ).

fof(f876,plain,
    ( identity != identity
    | sk_c8 != inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f151,f745]) ).

fof(f886,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f885]) ).

fof(f885,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f884,f401]) ).

fof(f884,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f880,f401]) ).

fof(f880,plain,
    ( sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f873]) ).

fof(f873,plain,
    ( identity != identity
    | sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
    | ~ spl0_5 ),
    inference(superposition,[],[f151,f338]) ).

fof(f883,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f882]) ).

fof(f882,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f881,f401]) ).

fof(f881,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f870]) ).

fof(f870,plain,
    ( identity != identity
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5 ),
    inference(superposition,[],[f151,f2]) ).

fof(f867,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f866,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f864,f435]) ).

fof(f864,plain,
    ( sk_c8 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f863]) ).

fof(f863,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f145,f766]) ).

fof(f766,plain,
    ( sk_c8 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f725,f405]) ).

fof(f725,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f724]) ).

fof(f724,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f13,f698]) ).

fof(f853,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f790,f37,f150,f147,f144,f144]) ).

fof(f786,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f784,f401]) ).

fof(f784,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f781,f39]) ).

fof(f781,plain,
    ( sk_c7 != inverse(sk_c8)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f148,f772]) ).

fof(f772,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f770,f435]) ).

fof(f770,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f62,f766]) ).

fof(f721,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f715,f598]) ).

fof(f715,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f381,f708]) ).

fof(f708,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f663,f667]) ).

fof(f667,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f666,f455]) ).

fof(f666,plain,
    ( sk_c6 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f665,f609]) ).

fof(f609,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f438,f437]) ).

fof(f438,plain,
    ( inverse(sk_c8) = sk_c2
    | ~ spl0_6 ),
    inference(superposition,[],[f401,f175]) ).

fof(f175,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f665,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f17,f38]) ).

fof(f719,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f718]) ).

fof(f718,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f713,f598]) ).

fof(f713,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f708,f381]) ).

fof(f660,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f659,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f654,f598]) ).

fof(f654,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f381,f651]) ).

fof(f651,plain,
    ( sk_c7 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f650,f437]) ).

fof(f650,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f295,f627]) ).

fof(f627,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f625,f2]) ).

fof(f625,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f62,f624]) ).

fof(f624,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f620,f35]) ).

fof(f620,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f62,f612]) ).

fof(f612,plain,
    ( sk_c6 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f198,f609]) ).

fof(f658,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f657]) ).

fof(f657,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(subsumption_resolution,[],[f652,f598]) ).

fof(f652,plain,
    ( sk_c7 = sk_c1
    | ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f651,f381]) ).

fof(f636,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f623,f177,f173,f147,f33,f633,f629]) ).

fof(f629,plain,
    ( spl0_8
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f623,plain,
    ( sk_c8 != inverse(sk_c8)
    | sk_c8 != sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f622,f35]) ).

fof(f622,plain,
    ( sk_c8 != sk_c6
    | sk_c8 != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f619,f35]) ).

fof(f619,plain,
    ( sk_c6 != inverse(sk_c1)
    | sk_c8 != inverse(inverse(sk_c1))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f148,f612]) ).

fof(f577,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f576]) ).

fof(f576,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f575,f401]) ).

fof(f575,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f549,f39]) ).

fof(f549,plain,
    ( sk_c7 != inverse(sk_c8)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_4
    | spl0_7 ),
    inference(superposition,[],[f148,f192]) ).

fof(f450,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f329,f177,f173,f37,f33,f150,f147,f144,f144]) ).

fof(f329,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | sk_c8 != inverse(inverse(X6))
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | inverse(X6) != multiply(X6,sk_c8) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f95,f204]) ).

fof(f204,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f200,f41]) ).

fof(f200,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(superposition,[],[f199,f159]) ).

fof(f199,plain,
    ( sk_c6 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(forward_demodulation,[],[f198,f184]) ).

fof(f184,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f182,f154]) ).

fof(f182,plain,
    ( sk_c2 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f65,f181]) ).

fof(f181,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f175]) ).

fof(f180,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f24,f177,f173]) ).

fof(f152,plain,
    ( spl0_3
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f123,f37,f33,f150,f147,f144,f144]) ).

fof(f123,plain,
    ( ! [X3,X6,X4,X5] :
        ( identity != multiply(X4,sk_c8)
        | sk_c8 != inverse(inverse(X6))
        | sk_c8 != inverse(X3)
        | sk_c8 != inverse(X5)
        | sk_c8 != inverse(X4)
        | sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != multiply(X5,sk_c7)
        | inverse(X6) != multiply(X6,sk_c8) )
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f95,f117]) ).

fof(f117,plain,
    ( identity = sk_c6
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f110,f4]) ).

fof(f110,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f43,f108]) ).

fof(f40,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f37,f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 04:58:56 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (31924)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (31929)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (31930)WARNING: value z3 for option sas not known
% 0.15/0.38  % (31928)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (31931)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (31932)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (31933)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (31930)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (31934)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [5]
% 0.15/0.40  TRYING [4]
% 0.15/0.41  % (31930)First to succeed.
% 0.22/0.42  % (31930)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42  % (31930)------------------------------
% 0.22/0.42  % (31930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42  % (31930)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (31930)Memory used [KB]: 1135
% 0.22/0.42  % (31930)Time elapsed: 0.042 s
% 0.22/0.42  % (31930)Instructions burned: 74 (million)
% 0.22/0.42  % (31930)------------------------------
% 0.22/0.42  % (31930)------------------------------
% 0.22/0.42  % (31924)Success in time 0.059 s
%------------------------------------------------------------------------------