↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV553-1.007 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 : Tue Sep 29 01:18:00 PM UTC 2026

% Result   : Unsatisfiable 10.85s 3.80s
% Output   : Refutation 22.74s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f2,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f3,negated_conjecture,
    store(store(store(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5)),i6,select(store(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5)),i6)),i7,select(store(store(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5)),i6,select(store(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5)),i6)),i7)) = store(store(store(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5)),i6,select(store(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5)),i6)),i7,select(store(store(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5)),i6,select(store(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i5,select(store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),i5)),i6)),i7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

fof(f4,negated_conjecture,
    select(a1,sk(a1,a2)) != select(a2,sk(a1,a2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f5,definition,
    sF0 = select(a2,i1),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f6,plain,
    select(a2,i1) = sF0,
    inference(reorient_equations,[],[f5]) ).

fof(f7,definition,
    sF1 = store(a1,i1,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f8,plain,
    store(a1,i1,sF0) = sF1,
    inference(reorient_equations,[],[f7]) ).

fof(f9,definition,
    sF2 = select(a1,i1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f10,plain,
    select(a1,i1) = sF2,
    inference(reorient_equations,[],[f9]) ).

fof(f11,definition,
    sF3 = store(a2,i1,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f12,plain,
    store(a2,i1,sF2) = sF3,
    inference(reorient_equations,[],[f11]) ).

fof(f13,definition,
    sF4 = select(sF3,i2),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f14,plain,
    select(sF3,i2) = sF4,
    inference(reorient_equations,[],[f13]) ).

fof(f15,definition,
    sF5 = store(sF1,i2,sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f16,plain,
    store(sF1,i2,sF4) = sF5,
    inference(reorient_equations,[],[f15]) ).

fof(f17,definition,
    sF6 = select(sF1,i2),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f18,plain,
    select(sF1,i2) = sF6,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF7 = store(sF3,i2,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f20,plain,
    store(sF3,i2,sF6) = sF7,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF8 = select(sF7,i3),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f22,plain,
    select(sF7,i3) = sF8,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF9 = store(sF5,i3,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f24,plain,
    store(sF5,i3,sF8) = sF9,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF10 = select(sF5,i3),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f26,plain,
    select(sF5,i3) = sF10,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF11 = store(sF7,i3,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f28,plain,
    store(sF7,i3,sF10) = sF11,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF12 = select(sF11,i4),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f30,plain,
    select(sF11,i4) = sF12,
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF13 = store(sF9,i4,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f32,plain,
    store(sF9,i4,sF12) = sF13,
    inference(reorient_equations,[],[f31]) ).

fof(f33,definition,
    sF14 = select(sF9,i4),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f34,plain,
    select(sF9,i4) = sF14,
    inference(reorient_equations,[],[f33]) ).

fof(f35,definition,
    sF15 = store(sF11,i4,sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f36,plain,
    store(sF11,i4,sF14) = sF15,
    inference(reorient_equations,[],[f35]) ).

fof(f37,definition,
    sF16 = select(sF15,i5),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f38,plain,
    select(sF15,i5) = sF16,
    inference(reorient_equations,[],[f37]) ).

fof(f39,definition,
    sF17 = store(sF13,i5,sF16),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f40,plain,
    store(sF13,i5,sF16) = sF17,
    inference(reorient_equations,[],[f39]) ).

fof(f41,definition,
    sF18 = select(sF13,i5),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f42,plain,
    select(sF13,i5) = sF18,
    inference(reorient_equations,[],[f41]) ).

fof(f43,definition,
    sF19 = store(sF15,i5,sF18),
    introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).

fof(f44,plain,
    store(sF15,i5,sF18) = sF19,
    inference(reorient_equations,[],[f43]) ).

fof(f45,definition,
    sF20 = select(sF19,i6),
    introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).

fof(f46,plain,
    select(sF19,i6) = sF20,
    inference(reorient_equations,[],[f45]) ).

fof(f47,definition,
    sF21 = store(sF17,i6,sF20),
    introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).

fof(f48,plain,
    store(sF17,i6,sF20) = sF21,
    inference(reorient_equations,[],[f47]) ).

fof(f49,definition,
    sF22 = select(sF17,i6),
    introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).

fof(f50,plain,
    select(sF17,i6) = sF22,
    inference(reorient_equations,[],[f49]) ).

fof(f51,definition,
    sF23 = store(sF19,i6,sF22),
    introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).

fof(f52,plain,
    store(sF19,i6,sF22) = sF23,
    inference(reorient_equations,[],[f51]) ).

fof(f53,definition,
    sF24 = select(sF23,i7),
    introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).

fof(f54,plain,
    select(sF23,i7) = sF24,
    inference(reorient_equations,[],[f53]) ).

fof(f55,definition,
    sF25 = store(sF21,i7,sF24),
    introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).

fof(f56,plain,
    store(sF21,i7,sF24) = sF25,
    inference(reorient_equations,[],[f55]) ).

fof(f57,definition,
    sF26 = select(sF21,i7),
    introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).

fof(f58,plain,
    select(sF21,i7) = sF26,
    inference(reorient_equations,[],[f57]) ).

fof(f59,definition,
    sF27 = store(sF23,i7,sF26),
    introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).

fof(f60,plain,
    store(sF23,i7,sF26) = sF27,
    inference(reorient_equations,[],[f59]) ).

fof(f61,plain,
    sF25 = sF27,
    inference(definition_folding,[],[f3,f60,f58,f48,f46,f44,f42,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f40,f38,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f52,f50,f40,f38,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f44,f42,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f56,f54,f52,f50,f40,f38,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f44,f42,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f48,f46,f44,f42,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f40,f38,f36,f34,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f32,f30,f28,f26,f16,f14,f12,f10,f8,f6,f20,f18,f8,f6,f12,f10,f24,f22,f20,f18,f8,f6,f12,f10,f16,f14,f12,f10,f8,f6]) ).

fof(f62,definition,
    sF28 = sk(a1,a2),
    introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).

fof(f63,plain,
    sk(a1,a2) = sF28,
    inference(reorient_equations,[],[f62]) ).

fof(f64,definition,
    sF29 = select(a1,sF28),
    introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).

fof(f65,plain,
    select(a1,sF28) = sF29,
    inference(reorient_equations,[],[f64]) ).

fof(f66,definition,
    sF30 = select(a2,sF28),
    introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).

fof(f67,plain,
    select(a2,sF28) = sF30,
    inference(reorient_equations,[],[f66]) ).

fof(f68,plain,
    sF29 != sF30,
    inference(definition_folding,[],[f4,f67,f63,f65,f63]) ).

fof(f70,definition,
    ( spl31_1
  <=> sF29 = sF30 ),
    introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).

fof(f72,plain,
    ( sF29 != sF30
    | spl31_1 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f73,plain,
    ~ spl31_1,
    inference(avatar_split_clause,[],[f68,f70]) ).

fof(f75,definition,
    ( spl31_2
  <=> sF25 = sF27 ),
    introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).

fof(f77,plain,
    ( sF25 = sF27
    | ~ spl31_2 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f78,plain,
    spl31_2,
    inference(avatar_split_clause,[],[f61,f75]) ).

fof(f80,definition,
    ( spl31_3
  <=> select(a2,i1) = sF0 ),
    introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).

fof(f82,plain,
    ( select(a2,i1) = sF0
    | ~ spl31_3 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f83,plain,
    spl31_3,
    inference(avatar_split_clause,[],[f6,f80]) ).

fof(f85,definition,
    ( spl31_4
  <=> store(a1,i1,sF0) = sF1 ),
    introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).

fof(f87,plain,
    ( store(a1,i1,sF0) = sF1
    | ~ spl31_4 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f88,plain,
    spl31_4,
    inference(avatar_split_clause,[],[f8,f85]) ).

fof(f90,definition,
    ( spl31_5
  <=> select(a1,i1) = sF2 ),
    introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).

fof(f92,plain,
    ( select(a1,i1) = sF2
    | ~ spl31_5 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f93,plain,
    spl31_5,
    inference(avatar_split_clause,[],[f10,f90]) ).

fof(f95,definition,
    ( spl31_6
  <=> store(a2,i1,sF2) = sF3 ),
    introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).

fof(f97,plain,
    ( store(a2,i1,sF2) = sF3
    | ~ spl31_6 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f98,plain,
    spl31_6,
    inference(avatar_split_clause,[],[f12,f95]) ).

fof(f100,definition,
    ( spl31_7
  <=> select(sF3,i2) = sF4 ),
    introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).

fof(f103,plain,
    spl31_7,
    inference(avatar_split_clause,[],[f14,f100]) ).

fof(f105,definition,
    ( spl31_8
  <=> store(sF1,i2,sF4) = sF5 ),
    introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).

fof(f107,plain,
    ( store(sF1,i2,sF4) = sF5
    | ~ spl31_8 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f108,plain,
    spl31_8,
    inference(avatar_split_clause,[],[f16,f105]) ).

fof(f110,definition,
    ( spl31_9
  <=> select(sF1,i2) = sF6 ),
    introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).

fof(f113,plain,
    spl31_9,
    inference(avatar_split_clause,[],[f18,f110]) ).

fof(f115,definition,
    ( spl31_10
  <=> store(sF3,i2,sF6) = sF7 ),
    introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).

fof(f117,plain,
    ( store(sF3,i2,sF6) = sF7
    | ~ spl31_10 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f118,plain,
    spl31_10,
    inference(avatar_split_clause,[],[f20,f115]) ).

fof(f120,definition,
    ( spl31_11
  <=> select(sF7,i3) = sF8 ),
    introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).

fof(f122,plain,
    ( select(sF7,i3) = sF8
    | ~ spl31_11 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f123,plain,
    spl31_11,
    inference(avatar_split_clause,[],[f22,f120]) ).

fof(f125,definition,
    ( spl31_12
  <=> store(sF5,i3,sF8) = sF9 ),
    introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).

fof(f127,plain,
    ( store(sF5,i3,sF8) = sF9
    | ~ spl31_12 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f128,plain,
    spl31_12,
    inference(avatar_split_clause,[],[f24,f125]) ).

fof(f130,definition,
    ( spl31_13
  <=> select(sF5,i3) = sF10 ),
    introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).

fof(f132,plain,
    ( select(sF5,i3) = sF10
    | ~ spl31_13 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f133,plain,
    spl31_13,
    inference(avatar_split_clause,[],[f26,f130]) ).

fof(f135,definition,
    ( spl31_14
  <=> store(sF7,i3,sF10) = sF11 ),
    introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).

fof(f137,plain,
    ( store(sF7,i3,sF10) = sF11
    | ~ spl31_14 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f138,plain,
    spl31_14,
    inference(avatar_split_clause,[],[f28,f135]) ).

fof(f140,definition,
    ( spl31_15
  <=> select(sF11,i4) = sF12 ),
    introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition]) ).

fof(f142,plain,
    ( select(sF11,i4) = sF12
    | ~ spl31_15 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f143,plain,
    spl31_15,
    inference(avatar_split_clause,[],[f30,f140]) ).

fof(f145,definition,
    ( spl31_16
  <=> store(sF9,i4,sF12) = sF13 ),
    introduced(definition,[new_symbols(definition,[spl31_16])],[avatar_definition]) ).

fof(f147,plain,
    ( store(sF9,i4,sF12) = sF13
    | ~ spl31_16 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f148,plain,
    spl31_16,
    inference(avatar_split_clause,[],[f32,f145]) ).

fof(f150,definition,
    ( spl31_17
  <=> select(sF9,i4) = sF14 ),
    introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).

fof(f152,plain,
    ( select(sF9,i4) = sF14
    | ~ spl31_17 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f153,plain,
    spl31_17,
    inference(avatar_split_clause,[],[f34,f150]) ).

fof(f155,definition,
    ( spl31_18
  <=> store(sF11,i4,sF14) = sF15 ),
    introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition]) ).

fof(f157,plain,
    ( store(sF11,i4,sF14) = sF15
    | ~ spl31_18 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f158,plain,
    spl31_18,
    inference(avatar_split_clause,[],[f36,f155]) ).

fof(f160,definition,
    ( spl31_19
  <=> select(sF15,i5) = sF16 ),
    introduced(definition,[new_symbols(definition,[spl31_19])],[avatar_definition]) ).

fof(f162,plain,
    ( select(sF15,i5) = sF16
    | ~ spl31_19 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f163,plain,
    spl31_19,
    inference(avatar_split_clause,[],[f38,f160]) ).

fof(f165,definition,
    ( spl31_20
  <=> store(sF13,i5,sF16) = sF17 ),
    introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition]) ).

fof(f167,plain,
    ( store(sF13,i5,sF16) = sF17
    | ~ spl31_20 ),
    inference(avatar_component_clause,[],[f165]) ).

fof(f168,plain,
    spl31_20,
    inference(avatar_split_clause,[],[f40,f165]) ).

fof(f170,definition,
    ( spl31_21
  <=> select(sF13,i5) = sF18 ),
    introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition]) ).

fof(f172,plain,
    ( select(sF13,i5) = sF18
    | ~ spl31_21 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f173,plain,
    spl31_21,
    inference(avatar_split_clause,[],[f42,f170]) ).

fof(f175,definition,
    ( spl31_22
  <=> store(sF15,i5,sF18) = sF19 ),
    introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition]) ).

fof(f177,plain,
    ( store(sF15,i5,sF18) = sF19
    | ~ spl31_22 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f178,plain,
    spl31_22,
    inference(avatar_split_clause,[],[f44,f175]) ).

fof(f180,definition,
    ( spl31_23
  <=> select(sF19,i6) = sF20 ),
    introduced(definition,[new_symbols(definition,[spl31_23])],[avatar_definition]) ).

fof(f182,plain,
    ( select(sF19,i6) = sF20
    | ~ spl31_23 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f183,plain,
    spl31_23,
    inference(avatar_split_clause,[],[f46,f180]) ).

fof(f185,definition,
    ( spl31_24
  <=> store(sF17,i6,sF20) = sF21 ),
    introduced(definition,[new_symbols(definition,[spl31_24])],[avatar_definition]) ).

fof(f187,plain,
    ( store(sF17,i6,sF20) = sF21
    | ~ spl31_24 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f188,plain,
    spl31_24,
    inference(avatar_split_clause,[],[f48,f185]) ).

fof(f190,definition,
    ( spl31_25
  <=> select(sF17,i6) = sF22 ),
    introduced(definition,[new_symbols(definition,[spl31_25])],[avatar_definition]) ).

fof(f192,plain,
    ( select(sF17,i6) = sF22
    | ~ spl31_25 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f193,plain,
    spl31_25,
    inference(avatar_split_clause,[],[f50,f190]) ).

fof(f195,definition,
    ( spl31_26
  <=> store(sF19,i6,sF22) = sF23 ),
    introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition]) ).

fof(f197,plain,
    ( store(sF19,i6,sF22) = sF23
    | ~ spl31_26 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f198,plain,
    spl31_26,
    inference(avatar_split_clause,[],[f52,f195]) ).

fof(f200,definition,
    ( spl31_27
  <=> select(sF23,i7) = sF24 ),
    introduced(definition,[new_symbols(definition,[spl31_27])],[avatar_definition]) ).

fof(f202,plain,
    ( select(sF23,i7) = sF24
    | ~ spl31_27 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f203,plain,
    spl31_27,
    inference(avatar_split_clause,[],[f54,f200]) ).

fof(f205,definition,
    ( spl31_28
  <=> store(sF21,i7,sF24) = sF25 ),
    introduced(definition,[new_symbols(definition,[spl31_28])],[avatar_definition]) ).

fof(f207,plain,
    ( store(sF21,i7,sF24) = sF25
    | ~ spl31_28 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f208,plain,
    spl31_28,
    inference(avatar_split_clause,[],[f56,f205]) ).

fof(f210,definition,
    ( spl31_29
  <=> select(sF21,i7) = sF26 ),
    introduced(definition,[new_symbols(definition,[spl31_29])],[avatar_definition]) ).

fof(f212,plain,
    ( select(sF21,i7) = sF26
    | ~ spl31_29 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f213,plain,
    spl31_29,
    inference(avatar_split_clause,[],[f58,f210]) ).

fof(f215,definition,
    ( spl31_30
  <=> store(sF23,i7,sF26) = sF27 ),
    introduced(definition,[new_symbols(definition,[spl31_30])],[avatar_definition]) ).

fof(f217,plain,
    ( store(sF23,i7,sF26) = sF27
    | ~ spl31_30 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f218,plain,
    spl31_30,
    inference(avatar_split_clause,[],[f60,f215]) ).

fof(f225,definition,
    ( spl31_32
  <=> select(a1,sF28) = sF29 ),
    introduced(definition,[new_symbols(definition,[spl31_32])],[avatar_definition]) ).

fof(f227,plain,
    ( select(a1,sF28) = sF29
    | ~ spl31_32 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f228,plain,
    spl31_32,
    inference(avatar_split_clause,[],[f65,f225]) ).

fof(f230,definition,
    ( spl31_33
  <=> select(a2,sF28) = sF30 ),
    introduced(definition,[new_symbols(definition,[spl31_33])],[avatar_definition]) ).

fof(f232,plain,
    ( select(a2,sF28) = sF30
    | ~ spl31_33 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f233,plain,
    spl31_33,
    inference(avatar_split_clause,[],[f67,f230]) ).

fof(f234,plain,
    ( sF25 = store(sF23,i7,sF26)
    | ~ spl31_2
    | ~ spl31_30 ),
    inference(forward_demodulation,[],[f217,f77]) ).

fof(f236,definition,
    ( spl31_34
  <=> sF25 = store(sF23,i7,sF26) ),
    introduced(definition,[new_symbols(definition,[spl31_34])],[avatar_definition]) ).

fof(f238,plain,
    ( sF25 = store(sF23,i7,sF26)
    | ~ spl31_34 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,plain,
    ( spl31_34
    | ~ spl31_2
    | ~ spl31_30 ),
    inference(avatar_split_clause,[],[f234,f215,f75,f236]) ).

fof(f240,plain,
    ( ! [X0] :
        ( select(sF23,X0) = select(sF25,X0)
        | i7 = X0 )
    | ~ spl31_34 ),
    inference(superposition,[],[f2,f238]) ).

fof(f241,plain,
    ( ! [X0] :
        ( select(a1,X0) = select(sF1,X0)
        | i1 = X0 )
    | ~ spl31_4 ),
    inference(superposition,[],[f2,f87]) ).

fof(f242,plain,
    ( sF29 = select(sF1,sF28)
    | i1 = sF28
    | ~ spl31_4
    | ~ spl31_32 ),
    inference(superposition,[],[f241,f227]) ).

fof(f245,definition,
    ( spl31_35
  <=> i1 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_35])],[avatar_definition]) ).

fof(f246,plain,
    ( i1 != sF28
    | spl31_35 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f247,plain,
    ( i1 = sF28
    | ~ spl31_35 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f249,definition,
    ( spl31_36
  <=> sF29 = select(sF1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_36])],[avatar_definition]) ).

fof(f251,plain,
    ( sF29 = select(sF1,sF28)
    | ~ spl31_36 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f253,plain,
    ( spl31_35
    | spl31_36
    | ~ spl31_4
    | ~ spl31_32 ),
    inference(avatar_split_clause,[],[f242,f225,f85,f249,f245]) ).

fof(f255,plain,
    ( sF2 = select(a1,sF28)
    | ~ spl31_5
    | ~ spl31_35 ),
    inference(superposition,[],[f92,f247]) ).

fof(f256,plain,
    ( sF0 = select(a2,sF28)
    | ~ spl31_3
    | ~ spl31_35 ),
    inference(superposition,[],[f82,f247]) ).

fof(f258,definition,
    ( spl31_37
  <=> sF0 = select(a2,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_37])],[avatar_definition]) ).

fof(f260,plain,
    ( sF0 = select(a2,sF28)
    | ~ spl31_37 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,plain,
    ( spl31_37
    | ~ spl31_3
    | ~ spl31_35 ),
    inference(avatar_split_clause,[],[f256,f245,f80,f258]) ).

fof(f263,definition,
    ( spl31_38
  <=> sF2 = select(a1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_38])],[avatar_definition]) ).

fof(f265,plain,
    ( sF2 = select(a1,sF28)
    | ~ spl31_38 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f266,plain,
    ( spl31_38
    | ~ spl31_5
    | ~ spl31_35 ),
    inference(avatar_split_clause,[],[f255,f245,f90,f263]) ).

fof(f273,plain,
    ( sF0 = sF30
    | ~ spl31_33
    | ~ spl31_37 ),
    inference(superposition,[],[f232,f260]) ).

fof(f275,definition,
    ( spl31_40
  <=> sF0 = sF30 ),
    introduced(definition,[new_symbols(definition,[spl31_40])],[avatar_definition]) ).

fof(f277,plain,
    ( sF0 = sF30
    | ~ spl31_40 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f278,plain,
    ( spl31_40
    | ~ spl31_33
    | ~ spl31_37 ),
    inference(avatar_split_clause,[],[f273,f258,f230,f275]) ).

fof(f279,plain,
    ( sF0 != sF29
    | spl31_1
    | ~ spl31_40 ),
    inference(superposition,[],[f72,f277]) ).

fof(f281,definition,
    ( spl31_41
  <=> sF0 = sF29 ),
    introduced(definition,[new_symbols(definition,[spl31_41])],[avatar_definition]) ).

fof(f283,plain,
    ( sF0 != sF29
    | spl31_41 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f284,plain,
    ( ~ spl31_41
    | spl31_1
    | ~ spl31_40 ),
    inference(avatar_split_clause,[],[f279,f275,f70,f281]) ).

fof(f287,plain,
    ( sF2 = sF29
    | ~ spl31_32
    | ~ spl31_38 ),
    inference(superposition,[],[f227,f265]) ).

fof(f290,definition,
    ( spl31_42
  <=> sF2 = sF29 ),
    introduced(definition,[new_symbols(definition,[spl31_42])],[avatar_definition]) ).

fof(f292,plain,
    ( sF2 = sF29
    | ~ spl31_42 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f293,plain,
    ( spl31_42
    | ~ spl31_32
    | ~ spl31_38 ),
    inference(avatar_split_clause,[],[f287,f263,f225,f290]) ).

fof(f294,plain,
    ( sF0 != sF2
    | spl31_41
    | ~ spl31_42 ),
    inference(superposition,[],[f283,f292]) ).

fof(f296,definition,
    ( spl31_43
  <=> sF0 = sF2 ),
    introduced(definition,[new_symbols(definition,[spl31_43])],[avatar_definition]) ).

fof(f298,plain,
    ( sF0 != sF2
    | spl31_43 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f299,plain,
    ( ~ spl31_43
    | spl31_41
    | ~ spl31_42 ),
    inference(avatar_split_clause,[],[f294,f290,f281,f296]) ).

fof(f304,plain,
    ( ! [X0] :
        ( select(a2,X0) = select(sF3,X0)
        | i1 = X0 )
    | ~ spl31_6 ),
    inference(superposition,[],[f2,f97]) ).

fof(f314,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF5,X0)
        | i2 = X0 )
    | ~ spl31_8 ),
    inference(superposition,[],[f2,f107]) ).

fof(f315,plain,
    ( sF10 = select(sF1,i3)
    | i2 = i3
    | ~ spl31_8
    | ~ spl31_13 ),
    inference(superposition,[],[f314,f132]) ).

fof(f318,definition,
    ( spl31_45
  <=> i2 = i3 ),
    introduced(definition,[new_symbols(definition,[spl31_45])],[avatar_definition]) ).

fof(f319,plain,
    ( i2 != i3
    | spl31_45 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f320,plain,
    ( i2 = i3
    | ~ spl31_45 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f322,definition,
    ( spl31_46
  <=> sF10 = select(sF1,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_46])],[avatar_definition]) ).

fof(f326,plain,
    ( spl31_45
    | spl31_46
    | ~ spl31_8
    | ~ spl31_13 ),
    inference(avatar_split_clause,[],[f315,f130,f105,f322,f318]) ).

fof(f328,plain,
    ( sF8 = select(sF7,i2)
    | ~ spl31_11
    | ~ spl31_45 ),
    inference(superposition,[],[f122,f320]) ).

fof(f330,definition,
    ( spl31_47
  <=> sF8 = select(sF7,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_47])],[avatar_definition]) ).

fof(f332,plain,
    ( sF8 = select(sF7,i2)
    | ~ spl31_47 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f333,plain,
    ( spl31_47
    | ~ spl31_11
    | ~ spl31_45 ),
    inference(avatar_split_clause,[],[f328,f318,f120,f330]) ).

fof(f339,plain,
    ( ! [X0] :
        ( select(sF3,X0) = select(sF7,X0)
        | i2 = X0 )
    | ~ spl31_10 ),
    inference(superposition,[],[f2,f117]) ).

fof(f341,plain,
    ( sF8 = select(sF3,i3)
    | i2 = i3
    | ~ spl31_10
    | ~ spl31_11 ),
    inference(superposition,[],[f122,f339]) ).

fof(f343,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF9,X0)
        | i3 = X0 )
    | ~ spl31_12 ),
    inference(superposition,[],[f2,f127]) ).

fof(f353,definition,
    ( spl31_50
  <=> i2 = i4 ),
    introduced(definition,[new_symbols(definition,[spl31_50])],[avatar_definition]) ).

fof(f354,plain,
    ( i2 != i4
    | spl31_50 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f355,plain,
    ( i2 = i4
    | ~ spl31_50 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f357,definition,
    ( spl31_51
  <=> sF14 = select(sF5,i4) ),
    introduced(definition,[new_symbols(definition,[spl31_51])],[avatar_definition]) ).

fof(f359,plain,
    ( sF14 = select(sF5,i4)
    | ~ spl31_51 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f362,plain,
    ( sF14 = select(sF9,i2)
    | ~ spl31_17
    | ~ spl31_50 ),
    inference(superposition,[],[f152,f355]) ).

fof(f370,definition,
    ( spl31_53
  <=> sF14 = select(sF9,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_53])],[avatar_definition]) ).

fof(f372,plain,
    ( sF14 = select(sF9,i2)
    | ~ spl31_53 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f373,plain,
    ( spl31_53
    | ~ spl31_17
    | ~ spl31_50 ),
    inference(avatar_split_clause,[],[f362,f353,f150,f370]) ).

fof(f376,plain,
    ( ! [X0] :
        ( select(sF7,X0) = select(sF11,X0)
        | i3 = X0 )
    | ~ spl31_14 ),
    inference(superposition,[],[f2,f137]) ).

fof(f387,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF13,X0)
        | i4 = X0 )
    | ~ spl31_16 ),
    inference(superposition,[],[f2,f147]) ).

fof(f397,definition,
    ( spl31_56
  <=> i2 = i5 ),
    introduced(definition,[new_symbols(definition,[spl31_56])],[avatar_definition]) ).

fof(f398,plain,
    ( i2 != i5
    | spl31_56 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f401,definition,
    ( spl31_57
  <=> sF18 = select(sF9,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_57])],[avatar_definition]) ).

fof(f403,plain,
    ( sF18 = select(sF9,i5)
    | ~ spl31_57 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f420,plain,
    ( ! [X0] :
        ( select(sF11,X0) = select(sF15,X0)
        | i4 = X0 )
    | ~ spl31_18 ),
    inference(superposition,[],[f2,f157]) ).

fof(f431,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF17,X0)
        | i5 = X0 )
    | ~ spl31_20 ),
    inference(superposition,[],[f2,f167]) ).

fof(f441,definition,
    ( spl31_62
  <=> i2 = i6 ),
    introduced(definition,[new_symbols(definition,[spl31_62])],[avatar_definition]) ).

fof(f442,plain,
    ( i2 != i6
    | spl31_62 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f445,definition,
    ( spl31_63
  <=> sF22 = select(sF13,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_63])],[avatar_definition]) ).

fof(f447,plain,
    ( sF22 = select(sF13,i6)
    | ~ spl31_63 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f464,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF19,X0)
        | i5 = X0 )
    | ~ spl31_22 ),
    inference(superposition,[],[f2,f177]) ).

fof(f475,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF21,X0)
        | i6 = X0 )
    | ~ spl31_24 ),
    inference(superposition,[],[f2,f187]) ).

fof(f485,definition,
    ( spl31_68
  <=> i2 = i7 ),
    introduced(definition,[new_symbols(definition,[spl31_68])],[avatar_definition]) ).

fof(f486,plain,
    ( i2 != i7
    | spl31_68 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f487,plain,
    ( i2 = i7
    | ~ spl31_68 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f515,plain,
    ( ! [X0] :
        ( select(sF23,X0) = select(sF19,X0)
        | i6 = X0 )
    | ~ spl31_26 ),
    inference(superposition,[],[f2,f197]) ).

fof(f526,plain,
    ( ! [X0] :
        ( select(sF25,X0) = select(sF21,X0)
        | i7 = X0 )
    | ~ spl31_28 ),
    inference(superposition,[],[f2,f207]) ).

fof(f602,plain,
    ( sF0 = select(sF1,i1)
    | ~ spl31_4 ),
    inference(superposition,[],[f1,f87]) ).

fof(f604,plain,
    ( sF2 = select(sF3,i1)
    | ~ spl31_6 ),
    inference(superposition,[],[f1,f97]) ).

fof(f606,plain,
    ( sF4 = select(sF5,i2)
    | ~ spl31_8 ),
    inference(superposition,[],[f1,f107]) ).

fof(f607,plain,
    ( sF6 = select(sF7,i2)
    | ~ spl31_10 ),
    inference(superposition,[],[f1,f117]) ).

fof(f608,plain,
    ( sF8 = select(sF9,i3)
    | ~ spl31_12 ),
    inference(superposition,[],[f1,f127]) ).

fof(f610,plain,
    ( sF10 = select(sF11,i3)
    | ~ spl31_14 ),
    inference(superposition,[],[f1,f137]) ).

fof(f612,plain,
    ( sF12 = select(sF13,i4)
    | ~ spl31_16 ),
    inference(superposition,[],[f1,f147]) ).

fof(f614,plain,
    ( sF14 = select(sF15,i4)
    | ~ spl31_18 ),
    inference(superposition,[],[f1,f157]) ).

fof(f616,plain,
    ( sF16 = select(sF17,i5)
    | ~ spl31_20 ),
    inference(superposition,[],[f1,f167]) ).

fof(f618,plain,
    ( sF18 = select(sF19,i5)
    | ~ spl31_22 ),
    inference(superposition,[],[f1,f177]) ).

fof(f620,plain,
    ( sF20 = select(sF21,i6)
    | ~ spl31_24 ),
    inference(superposition,[],[f1,f187]) ).

fof(f622,plain,
    ( sF22 = select(sF23,i6)
    | ~ spl31_26 ),
    inference(superposition,[],[f1,f197]) ).

fof(f624,plain,
    ( sF24 = select(sF25,i7)
    | ~ spl31_28 ),
    inference(superposition,[],[f1,f207]) ).

fof(f626,plain,
    ( sF26 = select(sF25,i7)
    | ~ spl31_34 ),
    inference(superposition,[],[f1,f238]) ).

fof(f677,definition,
    ( spl31_83
  <=> sF10 = select(sF11,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_83])],[avatar_definition]) ).

fof(f681,plain,
    ( sF10 = select(sF11,i2)
    | ~ spl31_14
    | ~ spl31_45 ),
    inference(forward_demodulation,[],[f610,f320]) ).

fof(f683,definition,
    ( spl31_84
  <=> sF8 = select(sF9,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_84])],[avatar_definition]) ).

fof(f685,plain,
    ( sF8 = select(sF9,i2)
    | ~ spl31_84 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f687,plain,
    ( sF8 = select(sF9,i2)
    | ~ spl31_12
    | ~ spl31_45 ),
    inference(forward_demodulation,[],[f608,f320]) ).

fof(f689,definition,
    ( spl31_85
  <=> sF6 = select(sF7,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_85])],[avatar_definition]) ).

fof(f691,plain,
    ( sF6 = select(sF7,i2)
    | ~ spl31_85 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( spl31_85
    | ~ spl31_10 ),
    inference(avatar_split_clause,[],[f607,f115,f689]) ).

fof(f694,definition,
    ( spl31_86
  <=> sF4 = select(sF5,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_86])],[avatar_definition]) ).

fof(f696,plain,
    ( sF4 = select(sF5,i2)
    | ~ spl31_86 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( spl31_86
    | ~ spl31_8 ),
    inference(avatar_split_clause,[],[f606,f105,f694]) ).

fof(f699,definition,
    ( spl31_87
  <=> sF2 = select(sF3,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_87])],[avatar_definition]) ).

fof(f703,plain,
    ( sF2 = select(sF3,sF28)
    | ~ spl31_6
    | ~ spl31_35 ),
    inference(forward_demodulation,[],[f604,f247]) ).

fof(f705,definition,
    ( spl31_88
  <=> sF0 = select(sF1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_88])],[avatar_definition]) ).

fof(f709,plain,
    ( sF0 = select(sF1,sF28)
    | ~ spl31_4
    | ~ spl31_35 ),
    inference(forward_demodulation,[],[f602,f247]) ).

fof(f718,plain,
    ( spl31_83
    | ~ spl31_14
    | ~ spl31_45 ),
    inference(avatar_split_clause,[],[f681,f318,f135,f677]) ).

fof(f719,plain,
    ( spl31_84
    | ~ spl31_12
    | ~ spl31_45 ),
    inference(avatar_split_clause,[],[f687,f318,f125,f683]) ).

fof(f720,plain,
    ( spl31_87
    | ~ spl31_6
    | ~ spl31_35 ),
    inference(avatar_split_clause,[],[f703,f245,f95,f699]) ).

fof(f721,plain,
    ( spl31_88
    | ~ spl31_4
    | ~ spl31_35 ),
    inference(avatar_split_clause,[],[f709,f245,f85,f705]) ).

fof(f723,plain,
    ( sF6 = sF8
    | ~ spl31_47
    | ~ spl31_85 ),
    inference(superposition,[],[f332,f691]) ).

fof(f725,definition,
    ( spl31_89
  <=> sF6 = sF8 ),
    introduced(definition,[new_symbols(definition,[spl31_89])],[avatar_definition]) ).

fof(f727,plain,
    ( sF6 = sF8
    | ~ spl31_89 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( spl31_89
    | ~ spl31_47
    | ~ spl31_85 ),
    inference(avatar_split_clause,[],[f723,f689,f330,f725]) ).

fof(f761,definition,
    ( spl31_93
  <=> sF24 = sF26 ),
    introduced(definition,[new_symbols(definition,[spl31_93])],[avatar_definition]) ).

fof(f763,plain,
    ( sF24 = sF26
    | ~ spl31_93 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f824,definition,
    ( spl31_101
  <=> sF20 = sF22 ),
    introduced(definition,[new_symbols(definition,[spl31_101])],[avatar_definition]) ).

fof(f825,plain,
    ( sF20 != sF22
    | spl31_101 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f826,plain,
    ( sF20 = sF22
    | ~ spl31_101 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f888,definition,
    ( spl31_109
  <=> sF16 = sF18 ),
    introduced(definition,[new_symbols(definition,[spl31_109])],[avatar_definition]) ).

fof(f889,plain,
    ( sF16 != sF18
    | spl31_109 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f890,plain,
    ( sF16 = sF18
    | ~ spl31_109 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f952,definition,
    ( spl31_117
  <=> sF12 = sF14 ),
    introduced(definition,[new_symbols(definition,[spl31_117])],[avatar_definition]) ).

fof(f953,plain,
    ( sF12 != sF14
    | spl31_117 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f954,plain,
    ( sF12 = sF14
    | ~ spl31_117 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f971,definition,
    ( spl31_119
  <=> sF4 = sF12 ),
    introduced(definition,[new_symbols(definition,[spl31_119])],[avatar_definition]) ).

fof(f973,plain,
    ( sF4 = sF12
    | ~ spl31_119 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f985,plain,
    ( sF8 = sF14
    | ~ spl31_53
    | ~ spl31_84 ),
    inference(superposition,[],[f372,f685]) ).

fof(f986,plain,
    ( sF6 = sF14
    | ~ spl31_53
    | ~ spl31_84
    | ~ spl31_89 ),
    inference(forward_demodulation,[],[f985,f727]) ).

fof(f989,definition,
    ( spl31_121
  <=> sF6 = sF14 ),
    introduced(definition,[new_symbols(definition,[spl31_121])],[avatar_definition]) ).

fof(f991,plain,
    ( sF6 = sF14
    | ~ spl31_121 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f992,plain,
    ( spl31_121
    | ~ spl31_53
    | ~ spl31_84
    | ~ spl31_89 ),
    inference(avatar_split_clause,[],[f986,f725,f683,f370,f989]) ).

fof(f994,plain,
    ( sF6 = sF12
    | ~ spl31_117
    | ~ spl31_121 ),
    inference(superposition,[],[f954,f991]) ).

fof(f1003,plain,
    ( sF4 = sF6
    | ~ spl31_117
    | ~ spl31_119
    | ~ spl31_121 ),
    inference(forward_demodulation,[],[f994,f973]) ).

fof(f1007,definition,
    ( spl31_123
  <=> sF4 = sF6 ),
    introduced(definition,[new_symbols(definition,[spl31_123])],[avatar_definition]) ).

fof(f1008,plain,
    ( sF4 != sF6
    | spl31_123 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1010,plain,
    ( spl31_123
    | ~ spl31_117
    | ~ spl31_119
    | ~ spl31_121 ),
    inference(avatar_split_clause,[],[f1003,f989,f971,f952,f1007]) ).

fof(f1024,definition,
    ( spl31_125
  <=> i2 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_125])],[avatar_definition]) ).

fof(f1025,plain,
    ( i2 != sF28
    | spl31_125 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1036,definition,
    ( spl31_126
  <=> sF26 = select(sF25,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_126])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl31_126
    | ~ spl31_34 ),
    inference(avatar_split_clause,[],[f626,f236,f1036]) ).

fof(f1041,definition,
    ( spl31_127
  <=> sF24 = select(sF25,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_127])],[avatar_definition]) ).

fof(f1044,plain,
    ( spl31_127
    | ~ spl31_28 ),
    inference(avatar_split_clause,[],[f624,f205,f1041]) ).

fof(f1046,definition,
    ( spl31_128
  <=> sF22 = select(sF23,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_128])],[avatar_definition]) ).

fof(f1048,plain,
    ( sF22 = select(sF23,i6)
    | ~ spl31_128 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1049,plain,
    ( spl31_128
    | ~ spl31_26 ),
    inference(avatar_split_clause,[],[f622,f195,f1046]) ).

fof(f1051,definition,
    ( spl31_129
  <=> sF20 = select(sF21,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_129])],[avatar_definition]) ).

fof(f1053,plain,
    ( sF20 = select(sF21,i6)
    | ~ spl31_129 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1054,plain,
    ( spl31_129
    | ~ spl31_24 ),
    inference(avatar_split_clause,[],[f620,f185,f1051]) ).

fof(f1056,definition,
    ( spl31_130
  <=> sF18 = select(sF19,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_130])],[avatar_definition]) ).

fof(f1058,plain,
    ( sF18 = select(sF19,i5)
    | ~ spl31_130 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1059,plain,
    ( spl31_130
    | ~ spl31_22 ),
    inference(avatar_split_clause,[],[f618,f175,f1056]) ).

fof(f1061,definition,
    ( spl31_131
  <=> sF16 = select(sF17,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_131])],[avatar_definition]) ).

fof(f1063,plain,
    ( sF16 = select(sF17,i5)
    | ~ spl31_131 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( spl31_131
    | ~ spl31_20 ),
    inference(avatar_split_clause,[],[f616,f165,f1061]) ).

fof(f1066,definition,
    ( spl31_132
  <=> sF14 = select(sF15,i4) ),
    introduced(definition,[new_symbols(definition,[spl31_132])],[avatar_definition]) ).

fof(f1068,plain,
    ( sF14 = select(sF15,i4)
    | ~ spl31_132 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f1069,plain,
    ( spl31_132
    | ~ spl31_18 ),
    inference(avatar_split_clause,[],[f614,f155,f1066]) ).

fof(f1071,definition,
    ( spl31_133
  <=> sF12 = select(sF13,i4) ),
    introduced(definition,[new_symbols(definition,[spl31_133])],[avatar_definition]) ).

fof(f1073,plain,
    ( sF12 = select(sF13,i4)
    | ~ spl31_133 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1074,plain,
    ( spl31_133
    | ~ spl31_16 ),
    inference(avatar_split_clause,[],[f612,f145,f1071]) ).

fof(f1075,plain,
    ( sF8 = select(sF3,i3)
    | ~ spl31_10
    | ~ spl31_11
    | spl31_45 ),
    inference(forward_subsumption_resolution,[],[f341,f319]) ).

fof(f1078,definition,
    ( spl31_134
  <=> sF10 = select(sF11,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_134])],[avatar_definition]) ).

fof(f1080,plain,
    ( sF10 = select(sF11,i3)
    | ~ spl31_134 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1081,plain,
    ( spl31_134
    | ~ spl31_14 ),
    inference(avatar_split_clause,[],[f610,f135,f1078]) ).

fof(f1083,definition,
    ( spl31_135
  <=> sF8 = select(sF9,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_135])],[avatar_definition]) ).

fof(f1085,plain,
    ( sF8 = select(sF9,i3)
    | ~ spl31_135 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( spl31_135
    | ~ spl31_12 ),
    inference(avatar_split_clause,[],[f608,f125,f1083]) ).

fof(f1088,definition,
    ( spl31_136
  <=> sF2 = select(sF3,i1) ),
    introduced(definition,[new_symbols(definition,[spl31_136])],[avatar_definition]) ).

fof(f1090,plain,
    ( sF2 = select(sF3,i1)
    | ~ spl31_136 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1091,plain,
    ( spl31_136
    | ~ spl31_6 ),
    inference(avatar_split_clause,[],[f604,f95,f1088]) ).

fof(f1093,definition,
    ( spl31_137
  <=> sF0 = select(sF1,i1) ),
    introduced(definition,[new_symbols(definition,[spl31_137])],[avatar_definition]) ).

fof(f1095,plain,
    ( sF0 = select(sF1,i1)
    | ~ spl31_137 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f1096,plain,
    ( spl31_137
    | ~ spl31_4 ),
    inference(avatar_split_clause,[],[f602,f85,f1093]) ).

fof(f1100,definition,
    ( spl31_138
  <=> sF8 = select(sF3,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_138])],[avatar_definition]) ).

fof(f1103,plain,
    ( spl31_138
    | ~ spl31_10
    | ~ spl31_11
    | spl31_45 ),
    inference(avatar_split_clause,[],[f1075,f318,f120,f115,f1100]) ).

fof(f1104,plain,
    ( sF24 != select(sF25,i7)
    | sF26 != select(sF25,i7)
    | sF24 = sF26 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f1114,plain,
    ( sF30 = select(sF3,sF28)
    | i1 = sF28
    | ~ spl31_6
    | ~ spl31_33 ),
    inference(superposition,[],[f232,f304]) ).

fof(f1115,plain,
    ( sF30 = select(sF3,sF28)
    | ~ spl31_6
    | ~ spl31_33
    | spl31_35 ),
    inference(forward_subsumption_resolution,[],[f1114,f246]) ).

fof(f1118,definition,
    ( spl31_140
  <=> sF30 = select(sF3,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_140])],[avatar_definition]) ).

fof(f1120,plain,
    ( sF30 = select(sF3,sF28)
    | ~ spl31_140 ),
    inference(avatar_component_clause,[],[f1118]) ).

fof(f1121,plain,
    ( spl31_140
    | ~ spl31_6
    | ~ spl31_33
    | spl31_35 ),
    inference(avatar_split_clause,[],[f1115,f245,f230,f95,f1118]) ).

fof(f1122,plain,
    ( sF14 = select(sF5,i4)
    | i3 = i4
    | ~ spl31_12
    | ~ spl31_17 ),
    inference(superposition,[],[f343,f152]) ).

fof(f1125,definition,
    ( spl31_141
  <=> i3 = i4 ),
    introduced(definition,[new_symbols(definition,[spl31_141])],[avatar_definition]) ).

fof(f1126,plain,
    ( i3 != i4
    | spl31_141 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1127,plain,
    ( i3 = i4
    | ~ spl31_141 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1129,plain,
    ( spl31_141
    | spl31_51
    | ~ spl31_12
    | ~ spl31_17 ),
    inference(avatar_split_clause,[],[f1122,f150,f125,f357,f1125]) ).

fof(f1131,plain,
    ( sF12 = select(sF7,i4)
    | i3 = i4
    | ~ spl31_14
    | ~ spl31_15 ),
    inference(superposition,[],[f142,f376]) ).

fof(f1132,plain,
    ( sF18 = select(sF9,i5)
    | i4 = i5
    | ~ spl31_16
    | ~ spl31_21 ),
    inference(superposition,[],[f387,f172]) ).

fof(f1135,plain,
    ( i3 = i5
    | sF18 = select(sF9,i5)
    | ~ spl31_16
    | ~ spl31_21
    | ~ spl31_141 ),
    inference(forward_demodulation,[],[f1132,f1127]) ).

fof(f1137,definition,
    ( spl31_142
  <=> i3 = i5 ),
    introduced(definition,[new_symbols(definition,[spl31_142])],[avatar_definition]) ).

fof(f1138,plain,
    ( i3 != i5
    | spl31_142 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1139,plain,
    ( i3 = i5
    | ~ spl31_142 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1141,plain,
    ( spl31_57
    | spl31_142
    | ~ spl31_16
    | ~ spl31_21
    | ~ spl31_141 ),
    inference(avatar_split_clause,[],[f1135,f1125,f170,f145,f1137,f401]) ).

fof(f1142,plain,
    ( sF16 = select(sF11,i5)
    | i4 = i5
    | ~ spl31_18
    | ~ spl31_19 ),
    inference(superposition,[],[f420,f162]) ).

fof(f1150,plain,
    ( sF22 = select(sF13,i6)
    | i5 = i6
    | ~ spl31_20
    | ~ spl31_25 ),
    inference(superposition,[],[f431,f192]) ).

fof(f1153,plain,
    ( i3 = i6
    | sF22 = select(sF13,i6)
    | ~ spl31_20
    | ~ spl31_25
    | ~ spl31_142 ),
    inference(forward_demodulation,[],[f1150,f1139]) ).

fof(f1155,definition,
    ( spl31_143
  <=> i3 = i6 ),
    introduced(definition,[new_symbols(definition,[spl31_143])],[avatar_definition]) ).

fof(f1156,plain,
    ( i3 != i6
    | spl31_143 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1157,plain,
    ( i3 = i6
    | ~ spl31_143 ),
    inference(avatar_component_clause,[],[f1155]) ).

fof(f1159,plain,
    ( spl31_63
    | spl31_143
    | ~ spl31_20
    | ~ spl31_25
    | ~ spl31_142 ),
    inference(avatar_split_clause,[],[f1153,f1137,f190,f165,f1155,f445]) ).

fof(f1160,plain,
    ( sF20 = select(sF15,i6)
    | i5 = i6
    | ~ spl31_22
    | ~ spl31_23 ),
    inference(superposition,[],[f464,f182]) ).

fof(f1166,plain,
    ( sF26 = select(sF17,i7)
    | i6 = i7
    | ~ spl31_24
    | ~ spl31_29 ),
    inference(superposition,[],[f475,f212]) ).

fof(f1169,plain,
    ( sF24 = select(sF17,i7)
    | i6 = i7
    | ~ spl31_24
    | ~ spl31_29
    | ~ spl31_93 ),
    inference(forward_demodulation,[],[f1166,f763]) ).

fof(f1173,definition,
    ( spl31_144
  <=> sF24 = select(sF17,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_144])],[avatar_definition]) ).

fof(f1175,plain,
    ( sF24 = select(sF17,i7)
    | ~ spl31_144 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f1177,definition,
    ( spl31_145
  <=> i3 = i7 ),
    introduced(definition,[new_symbols(definition,[spl31_145])],[avatar_definition]) ).

fof(f1178,plain,
    ( i3 != i7
    | spl31_145 ),
    inference(avatar_component_clause,[],[f1177]) ).

fof(f1188,plain,
    ( sF24 = select(sF19,i7)
    | i6 = i7
    | ~ spl31_26
    | ~ spl31_27 ),
    inference(superposition,[],[f515,f202]) ).

fof(f1195,definition,
    ( spl31_146
  <=> sF24 = select(sF19,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_146])],[avatar_definition]) ).

fof(f1197,plain,
    ( sF24 = select(sF19,i7)
    | ~ spl31_146 ),
    inference(avatar_component_clause,[],[f1195]) ).

fof(f1200,plain,
    ( ! [X0] :
        ( select(sF23,X0) = select(sF21,X0)
        | i7 = X0
        | i7 = X0 )
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f240,f526]) ).

fof(f1201,plain,
    ( ! [X0] :
        ( select(sF23,X0) = select(sF21,X0)
        | i7 = X0 )
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(duplicate_literal_removal,[],[f1200]) ).

fof(f1204,plain,
    ( ! [X0] :
        ( select(sF19,X0) = select(sF21,X0)
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f515,f1201]) ).

fof(f1205,plain,
    ( ! [X0] :
        ( select(sF19,X0) = select(sF21,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1204,f1157]) ).

fof(f1208,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF19,X0)
        | i6 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(superposition,[],[f475,f1205]) ).

fof(f1209,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF17,X0) = select(sF19,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1208,f1157]) ).

fof(f1210,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF19,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1209]) ).

fof(f1216,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i5 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(superposition,[],[f464,f1210]) ).

fof(f1217,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF15,X0) = select(sF17,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1216,f1139]) ).

fof(f1218,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1217]) ).

fof(f1224,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i5 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f431,f1218]) ).

fof(f1225,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF13,X0) = select(sF15,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1224,f1139]) ).

fof(f1226,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1225]) ).

fof(f1232,plain,
    ( ! [X0] :
        ( select(sF11,X0) = select(sF13,X0)
        | i4 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f420,f1226]) ).

fof(f1233,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF11,X0) = select(sF13,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1232,f1127]) ).

fof(f1234,plain,
    ( ! [X0] :
        ( select(sF11,X0) = select(sF13,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1233]) ).

fof(f1240,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF11,X0)
        | i4 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f387,f1234]) ).

fof(f1241,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF9,X0) = select(sF11,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1240,f1127]) ).

fof(f1242,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF11,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1241]) ).

fof(f1248,plain,
    ( ! [X0] :
        ( select(sF7,X0) = select(sF9,X0)
        | i3 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f376,f1242]) ).

fof(f1249,plain,
    ( ! [X0] :
        ( select(sF7,X0) = select(sF9,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1248]) ).

fof(f1254,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f343,f1249]) ).

fof(f1255,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f1254]) ).

fof(f1259,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i3
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_85
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f691,f1255]) ).

fof(f1261,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | ~ spl31_85
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_subsumption_resolution,[],[f1259,f319]) ).

fof(f1263,plain,
    ( sF6 = select(sF5,i2)
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_68
    | ~ spl31_85
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_subsumption_resolution,[],[f1261,f486]) ).

fof(f1265,plain,
    ( sF4 = sF6
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f1263,f696]) ).

fof(f1278,plain,
    ( sF14 = select(sF9,i3)
    | ~ spl31_17
    | ~ spl31_141 ),
    inference(superposition,[],[f152,f1127]) ).

fof(f1279,plain,
    ( sF12 = select(sF11,i3)
    | ~ spl31_15
    | ~ spl31_141 ),
    inference(superposition,[],[f142,f1127]) ).

fof(f1280,plain,
    ( sF10 = sF12
    | ~ spl31_15
    | ~ spl31_134
    | ~ spl31_141 ),
    inference(forward_demodulation,[],[f1279,f1080]) ).

fof(f1281,plain,
    ( sF8 = sF14
    | ~ spl31_17
    | ~ spl31_135
    | ~ spl31_141 ),
    inference(forward_demodulation,[],[f1278,f1085]) ).

fof(f1293,definition,
    ( spl31_149
  <=> sF10 = sF12 ),
    introduced(definition,[new_symbols(definition,[spl31_149])],[avatar_definition]) ).

fof(f1295,plain,
    ( sF10 = sF12
    | ~ spl31_149 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1296,plain,
    ( spl31_149
    | ~ spl31_15
    | ~ spl31_134
    | ~ spl31_141 ),
    inference(avatar_split_clause,[],[f1280,f1125,f1078,f140,f1293]) ).

fof(f1298,definition,
    ( spl31_150
  <=> sF8 = sF14 ),
    introduced(definition,[new_symbols(definition,[spl31_150])],[avatar_definition]) ).

fof(f1300,plain,
    ( sF8 = sF14
    | ~ spl31_150 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1301,plain,
    ( spl31_150
    | ~ spl31_17
    | ~ spl31_135
    | ~ spl31_141 ),
    inference(avatar_split_clause,[],[f1281,f1125,f1083,f150,f1298]) ).

fof(f1371,plain,
    ( sF22 = select(sF21,i6)
    | i6 = i7
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_128 ),
    inference(superposition,[],[f1201,f1048]) ).

fof(f1372,plain,
    ( sF20 = sF22
    | i6 = i7
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_128
    | ~ spl31_129 ),
    inference(forward_demodulation,[],[f1371,f1053]) ).

fof(f1379,plain,
    ( i6 = i7
    | ~ spl31_28
    | ~ spl31_34
    | spl31_101
    | ~ spl31_128
    | ~ spl31_129 ),
    inference(forward_subsumption_resolution,[],[f1372,f825]) ).

fof(f1389,plain,
    ( i3 != i6
    | i3 != i5
    | sF18 != select(sF19,i5)
    | select(sF19,i6) != sF20
    | sF20 != sF22
    | select(sF17,i6) != sF22
    | sF16 != select(sF17,i5)
    | sF16 = sF18 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f1407,plain,
    ( sF8 = sF12
    | ~ spl31_117
    | ~ spl31_150 ),
    inference(forward_demodulation,[],[f954,f1300]) ).

fof(f1438,definition,
    ( spl31_167
  <=> sF8 = sF12 ),
    introduced(definition,[new_symbols(definition,[spl31_167])],[avatar_definition]) ).

fof(f1440,plain,
    ( sF8 = sF12
    | ~ spl31_167 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1450,plain,
    ( spl31_167
    | ~ spl31_117
    | ~ spl31_150 ),
    inference(avatar_split_clause,[],[f1407,f1298,f952,f1438]) ).

fof(f1521,definition,
    ( spl31_177
  <=> sF8 = sF10 ),
    introduced(definition,[new_symbols(definition,[spl31_177])],[avatar_definition]) ).

fof(f1522,plain,
    ( sF8 != sF10
    | spl31_177 ),
    inference(avatar_component_clause,[],[f1521]) ).

fof(f1525,plain,
    ( sF8 = sF10
    | ~ spl31_149
    | ~ spl31_167 ),
    inference(superposition,[],[f1440,f1295]) ).

fof(f1568,plain,
    ( sF16 = select(sF17,i3)
    | ~ spl31_131
    | ~ spl31_142 ),
    inference(superposition,[],[f1063,f1139]) ).

fof(f1574,definition,
    ( spl31_183
  <=> sF8 = select(sF17,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_183])],[avatar_definition]) ).

fof(f1575,plain,
    ( sF8 != select(sF17,i3)
    | spl31_183 ),
    inference(avatar_component_clause,[],[f1574]) ).

fof(f1578,plain,
    ( sF14 = select(sF15,i3)
    | ~ spl31_132
    | ~ spl31_141 ),
    inference(superposition,[],[f1068,f1127]) ).

fof(f1581,plain,
    ( sF8 = select(sF15,i3)
    | ~ spl31_132
    | ~ spl31_141
    | ~ spl31_150 ),
    inference(forward_demodulation,[],[f1578,f1300]) ).

fof(f1583,definition,
    ( spl31_184
  <=> sF8 = select(sF15,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_184])],[avatar_definition]) ).

fof(f1585,plain,
    ( sF8 = select(sF15,i3)
    | ~ spl31_184 ),
    inference(avatar_component_clause,[],[f1583]) ).

fof(f1586,plain,
    ( spl31_184
    | ~ spl31_132
    | ~ spl31_141
    | ~ spl31_150 ),
    inference(avatar_split_clause,[],[f1581,f1298,f1125,f1066,f1583]) ).

fof(f1593,definition,
    ( spl31_185
  <=> sF8 = select(sF13,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_185])],[avatar_definition]) ).

fof(f1594,plain,
    ( sF8 != select(sF13,i3)
    | spl31_185 ),
    inference(avatar_component_clause,[],[f1593]) ).

fof(f1595,plain,
    ( sF8 = select(sF13,i3)
    | ~ spl31_185 ),
    inference(avatar_component_clause,[],[f1593]) ).

fof(f1604,definition,
    ( spl31_186
  <=> i1 = i7 ),
    introduced(definition,[new_symbols(definition,[spl31_186])],[avatar_definition]) ).

fof(f1605,plain,
    ( i1 != i7
    | spl31_186 ),
    inference(avatar_component_clause,[],[f1604]) ).

fof(f1608,definition,
    ( spl31_187
  <=> i1 = i3 ),
    introduced(definition,[new_symbols(definition,[spl31_187])],[avatar_definition]) ).

fof(f1609,plain,
    ( i1 != i3
    | spl31_187 ),
    inference(avatar_component_clause,[],[f1608]) ).

fof(f1612,definition,
    ( spl31_188
  <=> i1 = i2 ),
    introduced(definition,[new_symbols(definition,[spl31_188])],[avatar_definition]) ).

fof(f1613,plain,
    ( i1 != i2
    | spl31_188 ),
    inference(avatar_component_clause,[],[f1612]) ).

fof(f1617,plain,
    ( i1 != i2
    | sF2 != select(sF3,i1)
    | sF0 != select(sF1,i1)
    | select(sF3,i2) != sF4
    | sF4 != sF6
    | select(sF1,i2) != sF6
    | sF0 = sF2 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f1664,definition,
    ( spl31_194
  <=> i3 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_194])],[avatar_definition]) ).

fof(f1665,plain,
    ( i3 != sF28
    | spl31_194 ),
    inference(avatar_component_clause,[],[f1664]) ).

fof(f1669,plain,
    ( i3 != i4
    | i3 != sF28
    | sF29 != select(sF1,sF28)
    | sF30 != select(sF3,sF28)
    | sF10 != select(sF1,i3)
    | sF10 != select(sF11,i3)
    | sF8 != select(sF3,i3)
    | sF8 != select(sF9,i3)
    | select(sF11,i4) != sF12
    | sF12 != sF18
    | select(sF9,i4) != sF14
    | sF16 != sF18
    | sF14 != sF16
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f1670,plain,
    ( i2 != sF28
    | sF30 != select(sF3,sF28)
    | sF29 != select(sF1,sF28)
    | select(sF3,i2) != sF4
    | sF4 != sF6
    | select(sF1,i2) != sF6
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f1678,definition,
    ( spl31_195
  <=> i6 = i7 ),
    introduced(definition,[new_symbols(definition,[spl31_195])],[avatar_definition]) ).

fof(f1681,plain,
    ( spl31_195
    | ~ spl31_28
    | ~ spl31_34
    | spl31_101
    | ~ spl31_128
    | ~ spl31_129 ),
    inference(avatar_split_clause,[],[f1379,f1051,f1046,f824,f236,f205,f1678]) ).

fof(f1690,plain,
    ( i2 != sF28
    | ~ spl31_45
    | spl31_194 ),
    inference(forward_demodulation,[],[f1665,f320]) ).

fof(f1692,definition,
    ( spl31_196
  <=> i5 = i6 ),
    introduced(definition,[new_symbols(definition,[spl31_196])],[avatar_definition]) ).

fof(f1693,plain,
    ( i5 != i6
    | spl31_196 ),
    inference(avatar_component_clause,[],[f1692]) ).

fof(f1694,plain,
    ( i5 = i6
    | ~ spl31_196 ),
    inference(avatar_component_clause,[],[f1692]) ).

fof(f1696,definition,
    ( spl31_197
  <=> sF20 = select(sF15,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_197])],[avatar_definition]) ).

fof(f1698,plain,
    ( sF20 = select(sF15,i6)
    | ~ spl31_197 ),
    inference(avatar_component_clause,[],[f1696]) ).

fof(f1700,plain,
    ( spl31_196
    | spl31_197
    | ~ spl31_22
    | ~ spl31_23 ),
    inference(avatar_split_clause,[],[f1160,f180,f175,f1696,f1692]) ).

fof(f1702,plain,
    ( spl31_195
    | spl31_144
    | ~ spl31_24
    | ~ spl31_29
    | ~ spl31_93 ),
    inference(avatar_split_clause,[],[f1169,f761,f210,f185,f1173,f1678]) ).

fof(f1704,plain,
    ( spl31_195
    | spl31_146
    | ~ spl31_26
    | ~ spl31_27 ),
    inference(avatar_split_clause,[],[f1188,f200,f195,f1195,f1678]) ).

fof(f1706,definition,
    ( spl31_198
  <=> i4 = i5 ),
    introduced(definition,[new_symbols(definition,[spl31_198])],[avatar_definition]) ).

fof(f1707,plain,
    ( i4 != i5
    | spl31_198 ),
    inference(avatar_component_clause,[],[f1706]) ).

fof(f1710,definition,
    ( spl31_199
  <=> sF16 = select(sF11,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_199])],[avatar_definition]) ).

fof(f1712,plain,
    ( sF16 = select(sF11,i5)
    | ~ spl31_199 ),
    inference(avatar_component_clause,[],[f1710]) ).

fof(f1714,plain,
    ( spl31_198
    | spl31_199
    | ~ spl31_18
    | ~ spl31_19 ),
    inference(avatar_split_clause,[],[f1142,f160,f155,f1710,f1706]) ).

fof(f1716,plain,
    ( spl31_196
    | spl31_63
    | ~ spl31_20
    | ~ spl31_25 ),
    inference(avatar_split_clause,[],[f1150,f190,f165,f445,f1692]) ).

fof(f1717,plain,
    ( i2 = i4
    | sF12 = select(sF7,i4)
    | ~ spl31_14
    | ~ spl31_15
    | ~ spl31_45 ),
    inference(forward_demodulation,[],[f1131,f320]) ).

fof(f1720,plain,
    ( spl31_198
    | spl31_57
    | ~ spl31_16
    | ~ spl31_21 ),
    inference(avatar_split_clause,[],[f1132,f170,f145,f401,f1706]) ).

fof(f1730,definition,
    ( spl31_201
  <=> i7 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_201])],[avatar_definition]) ).

fof(f1731,plain,
    ( i7 = sF28
    | ~ spl31_201 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1732,plain,
    ( i7 != sF28
    | spl31_201 ),
    inference(avatar_component_clause,[],[f1730]) ).

fof(f1734,plain,
    ( ~ spl31_125
    | ~ spl31_45
    | spl31_194 ),
    inference(avatar_split_clause,[],[f1690,f1664,f318,f1024]) ).

fof(f1735,plain,
    ( sF12 = select(sF7,i4)
    | ~ spl31_14
    | ~ spl31_15
    | ~ spl31_45
    | spl31_50 ),
    inference(forward_subsumption_resolution,[],[f1717,f354]) ).

fof(f1738,definition,
    ( spl31_202
  <=> sF12 = select(sF7,i4) ),
    introduced(definition,[new_symbols(definition,[spl31_202])],[avatar_definition]) ).

fof(f1740,plain,
    ( sF12 = select(sF7,i4)
    | ~ spl31_202 ),
    inference(avatar_component_clause,[],[f1738]) ).

fof(f1741,plain,
    ( spl31_202
    | ~ spl31_14
    | ~ spl31_15
    | ~ spl31_45
    | spl31_50 ),
    inference(avatar_split_clause,[],[f1735,f353,f318,f140,f135,f1738]) ).

fof(f1747,plain,
    ( spl31_123
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(avatar_split_clause,[],[f1265,f1155,f1137,f1125,f694,f689,f485,f318,f236,f205,f195,f185,f175,f165,f155,f145,f135,f125,f1007]) ).

fof(f1813,definition,
    ( spl31_214
  <=> sF16 = select(sF19,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_214])],[avatar_definition]) ).

fof(f1814,plain,
    ( sF16 != select(sF19,i3)
    | spl31_214 ),
    inference(avatar_component_clause,[],[f1813]) ).

fof(f1858,plain,
    ( sF12 = select(sF15,i3)
    | ~ spl31_117
    | ~ spl31_132
    | ~ spl31_141 ),
    inference(forward_demodulation,[],[f1578,f954]) ).

fof(f1894,plain,
    ( spl31_177
    | ~ spl31_149
    | ~ spl31_167 ),
    inference(avatar_split_clause,[],[f1525,f1438,f1293,f1521]) ).

fof(f1922,plain,
    ( sF8 = sF12
    | ~ spl31_117
    | ~ spl31_132
    | ~ spl31_141
    | ~ spl31_184 ),
    inference(forward_demodulation,[],[f1858,f1585]) ).

fof(f2060,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF19,X0)
        | i6 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f475,f1204]) ).

fof(f2061,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF19,X0)
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(duplicate_literal_removal,[],[f2060]) ).

fof(f2063,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF19,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f2061,f1157]) ).

fof(f2069,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i5 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_143 ),
    inference(superposition,[],[f464,f2063]) ).

fof(f2071,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF15,X0) = select(sF17,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f2069,f1139]) ).

fof(f2072,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2071]) ).

fof(f2079,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i5 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f431,f2072]) ).

fof(f2081,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF13,X0) = select(sF15,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f2079,f1139]) ).

fof(f2082,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2081]) ).

fof(f2089,plain,
    ( ! [X0] :
        ( select(sF11,X0) = select(sF13,X0)
        | i4 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f420,f2082]) ).

fof(f2091,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF11,X0) = select(sF13,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f2089,f1127]) ).

fof(f2092,plain,
    ( ! [X0] :
        ( select(sF11,X0) = select(sF13,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2091]) ).

fof(f2099,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF11,X0)
        | i4 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f387,f2092]) ).

fof(f2101,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF9,X0) = select(sF11,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_demodulation,[],[f2099,f1127]) ).

fof(f2102,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF11,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2101]) ).

fof(f2108,plain,
    ( ! [X0] :
        ( select(sF7,X0) = select(sF9,X0)
        | i3 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f376,f2102]) ).

fof(f2109,plain,
    ( ! [X0] :
        ( select(sF7,X0) = select(sF9,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2108]) ).

fof(f2114,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f343,f2109]) ).

fof(f2115,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2114]) ).

fof(f2120,plain,
    ( ! [X0] :
        ( select(sF3,X0) = select(sF5,X0)
        | i2 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f339,f2115]) ).

fof(f2128,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF3,X0)
        | i2 = X0
        | i2 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f314,f2120]) ).

fof(f2129,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF3,X0)
        | i2 = X0
        | i3 = X0
        | i7 = X0 )
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(duplicate_literal_removal,[],[f2128]) ).

fof(f2322,plain,
    ( sF30 = select(sF1,sF28)
    | i2 = sF28
    | i3 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(superposition,[],[f2129,f1120]) ).

fof(f2323,plain,
    ( sF30 = select(sF1,sF28)
    | i3 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(forward_subsumption_resolution,[],[f2322,f1025]) ).

fof(f2325,plain,
    ( sF30 = select(sF1,sF28)
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143
    | spl31_194 ),
    inference(forward_subsumption_resolution,[],[f2323,f1665]) ).

fof(f2327,plain,
    ( sF29 = sF30
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143
    | spl31_194 ),
    inference(forward_demodulation,[],[f2325,f251]) ).

fof(f2329,plain,
    ( i7 = sF28
    | spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143
    | spl31_194 ),
    inference(forward_subsumption_resolution,[],[f2327,f72]) ).

fof(f2331,plain,
    ( spl31_201
    | spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143
    | spl31_194 ),
    inference(avatar_split_clause,[],[f2329,f1664,f1155,f1137,f1125,f1118,f1024,f249,f236,f205,f195,f185,f175,f165,f155,f145,f135,f125,f115,f105,f70,f1730]) ).

fof(f2338,plain,
    ( i3 != sF28
    | spl31_145
    | ~ spl31_201 ),
    inference(superposition,[],[f1178,f1731]) ).

fof(f2368,plain,
    ( sF24 = select(sF13,i7)
    | i5 = i7
    | ~ spl31_20
    | ~ spl31_144 ),
    inference(superposition,[],[f1175,f431]) ).

fof(f2369,plain,
    ( sF24 = select(sF13,i7)
    | i5 = i7
    | ~ spl31_20
    | ~ spl31_144 ),
    inference(superposition,[],[f431,f1175]) ).

fof(f2370,plain,
    ( sF24 = select(sF13,sF28)
    | i5 = i7
    | ~ spl31_20
    | ~ spl31_144
    | ~ spl31_201 ),
    inference(forward_demodulation,[],[f2369,f1731]) ).

fof(f2377,plain,
    ( i5 = sF28
    | sF24 = select(sF13,sF28)
    | ~ spl31_20
    | ~ spl31_144
    | ~ spl31_201 ),
    inference(forward_demodulation,[],[f2370,f1731]) ).

fof(f2379,plain,
    ( i3 = sF28
    | sF24 = select(sF13,sF28)
    | ~ spl31_20
    | ~ spl31_142
    | ~ spl31_144
    | ~ spl31_201 ),
    inference(forward_demodulation,[],[f2377,f1139]) ).

fof(f2381,plain,
    ( sF24 = select(sF13,sF28)
    | ~ spl31_20
    | ~ spl31_142
    | ~ spl31_144
    | spl31_194
    | ~ spl31_201 ),
    inference(forward_subsumption_resolution,[],[f2379,f1665]) ).

fof(f2384,definition,
    ( spl31_240
  <=> sF24 = select(sF13,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_240])],[avatar_definition]) ).

fof(f2385,plain,
    ( sF24 != select(sF13,sF28)
    | spl31_240 ),
    inference(avatar_component_clause,[],[f2384]) ).

fof(f2386,plain,
    ( sF24 = select(sF13,sF28)
    | ~ spl31_240 ),
    inference(avatar_component_clause,[],[f2384]) ).

fof(f2387,plain,
    ( spl31_240
    | ~ spl31_20
    | ~ spl31_142
    | ~ spl31_144
    | spl31_194
    | ~ spl31_201 ),
    inference(avatar_split_clause,[],[f2381,f1730,f1664,f1173,f1137,f165,f2384]) ).

fof(f2389,plain,
    ( sF24 = select(sF15,i7)
    | i5 = i7
    | ~ spl31_22
    | ~ spl31_146 ),
    inference(superposition,[],[f1197,f464]) ).

fof(f2390,plain,
    ( sF24 = select(sF15,i7)
    | i5 = i7
    | ~ spl31_22
    | ~ spl31_146 ),
    inference(superposition,[],[f464,f1197]) ).

fof(f2391,plain,
    ( sF24 = select(sF15,sF28)
    | i5 = i7
    | ~ spl31_22
    | ~ spl31_146
    | ~ spl31_201 ),
    inference(forward_demodulation,[],[f2390,f1731]) ).

fof(f2398,plain,
    ( i5 = sF28
    | sF24 = select(sF15,sF28)
    | ~ spl31_22
    | ~ spl31_146
    | ~ spl31_201 ),
    inference(forward_demodulation,[],[f2391,f1731]) ).

fof(f2400,plain,
    ( i3 = sF28
    | sF24 = select(sF15,sF28)
    | ~ spl31_22
    | ~ spl31_142
    | ~ spl31_146
    | ~ spl31_201 ),
    inference(forward_demodulation,[],[f2398,f1139]) ).

fof(f2402,plain,
    ( sF24 = select(sF15,sF28)
    | ~ spl31_22
    | ~ spl31_142
    | ~ spl31_146
    | spl31_194
    | ~ spl31_201 ),
    inference(forward_subsumption_resolution,[],[f2400,f1665]) ).

fof(f2405,definition,
    ( spl31_242
  <=> sF24 = select(sF15,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_242])],[avatar_definition]) ).

fof(f2406,plain,
    ( sF24 != select(sF15,sF28)
    | spl31_242 ),
    inference(avatar_component_clause,[],[f2405]) ).

fof(f2407,plain,
    ( sF24 = select(sF15,sF28)
    | ~ spl31_242 ),
    inference(avatar_component_clause,[],[f2405]) ).

fof(f2408,plain,
    ( spl31_242
    | ~ spl31_22
    | ~ spl31_142
    | ~ spl31_146
    | spl31_194
    | ~ spl31_201 ),
    inference(avatar_split_clause,[],[f2402,f1730,f1664,f1195,f1137,f175,f2405]) ).

fof(f2488,plain,
    ( sF24 = select(sF9,sF28)
    | i4 = sF28
    | ~ spl31_16
    | ~ spl31_240 ),
    inference(superposition,[],[f387,f2386]) ).

fof(f2489,plain,
    ( i3 = sF28
    | sF24 = select(sF9,sF28)
    | ~ spl31_16
    | ~ spl31_141
    | ~ spl31_240 ),
    inference(forward_demodulation,[],[f2488,f1127]) ).

fof(f2491,plain,
    ( sF24 = select(sF9,sF28)
    | ~ spl31_16
    | ~ spl31_141
    | spl31_194
    | ~ spl31_240 ),
    inference(forward_subsumption_resolution,[],[f2489,f1665]) ).

fof(f2494,definition,
    ( spl31_245
  <=> sF24 = select(sF9,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_245])],[avatar_definition]) ).

fof(f2496,plain,
    ( sF24 = select(sF9,sF28)
    | ~ spl31_245 ),
    inference(avatar_component_clause,[],[f2494]) ).

fof(f2497,plain,
    ( spl31_245
    | ~ spl31_16
    | ~ spl31_141
    | spl31_194
    | ~ spl31_240 ),
    inference(avatar_split_clause,[],[f2491,f2384,f1664,f1125,f145,f2494]) ).

fof(f2501,plain,
    ( sF24 = select(sF11,sF28)
    | i4 = sF28
    | ~ spl31_18
    | ~ spl31_242 ),
    inference(superposition,[],[f420,f2407]) ).

fof(f2502,plain,
    ( i3 = sF28
    | sF24 = select(sF11,sF28)
    | ~ spl31_18
    | ~ spl31_141
    | ~ spl31_242 ),
    inference(forward_demodulation,[],[f2501,f1127]) ).

fof(f2504,plain,
    ( sF24 = select(sF11,sF28)
    | ~ spl31_18
    | ~ spl31_141
    | spl31_194
    | ~ spl31_242 ),
    inference(forward_subsumption_resolution,[],[f2502,f1665]) ).

fof(f2507,definition,
    ( spl31_246
  <=> sF24 = select(sF11,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_246])],[avatar_definition]) ).

fof(f2509,plain,
    ( sF24 = select(sF11,sF28)
    | ~ spl31_246 ),
    inference(avatar_component_clause,[],[f2507]) ).

fof(f2510,plain,
    ( spl31_246
    | ~ spl31_18
    | ~ spl31_141
    | spl31_194
    | ~ spl31_242 ),
    inference(avatar_split_clause,[],[f2504,f2405,f1664,f1125,f155,f2507]) ).

fof(f2591,plain,
    ( sF24 = select(sF5,sF28)
    | i3 = sF28
    | ~ spl31_12
    | ~ spl31_245 ),
    inference(superposition,[],[f343,f2496]) ).

fof(f2592,plain,
    ( sF24 = select(sF5,sF28)
    | ~ spl31_12
    | spl31_194
    | ~ spl31_245 ),
    inference(forward_subsumption_resolution,[],[f2591,f1665]) ).

fof(f2595,definition,
    ( spl31_252
  <=> sF24 = select(sF5,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_252])],[avatar_definition]) ).

fof(f2597,plain,
    ( sF24 = select(sF5,sF28)
    | ~ spl31_252 ),
    inference(avatar_component_clause,[],[f2595]) ).

fof(f2598,plain,
    ( spl31_252
    | ~ spl31_12
    | spl31_194
    | ~ spl31_245 ),
    inference(avatar_split_clause,[],[f2592,f2494,f1664,f125,f2595]) ).

fof(f2602,plain,
    ( sF24 = select(sF7,sF28)
    | i3 = sF28
    | ~ spl31_14
    | ~ spl31_246 ),
    inference(superposition,[],[f376,f2509]) ).

fof(f2603,plain,
    ( sF24 = select(sF7,sF28)
    | ~ spl31_14
    | spl31_194
    | ~ spl31_246 ),
    inference(forward_subsumption_resolution,[],[f2602,f1665]) ).

fof(f2606,definition,
    ( spl31_253
  <=> sF24 = select(sF7,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_253])],[avatar_definition]) ).

fof(f2608,plain,
    ( sF24 = select(sF7,sF28)
    | ~ spl31_253 ),
    inference(avatar_component_clause,[],[f2606]) ).

fof(f2609,plain,
    ( spl31_253
    | ~ spl31_14
    | spl31_194
    | ~ spl31_246 ),
    inference(avatar_split_clause,[],[f2603,f2507,f1664,f135,f2606]) ).

fof(f2647,definition,
    ( spl31_258
  <=> sF24 = select(sF11,i2) ),
    introduced(definition,[new_symbols(definition,[spl31_258])],[avatar_definition]) ).

fof(f2654,plain,
    ( sF24 = select(sF1,sF28)
    | i2 = sF28
    | ~ spl31_8
    | ~ spl31_252 ),
    inference(superposition,[],[f314,f2597]) ).

fof(f2655,plain,
    ( sF24 = select(sF1,sF28)
    | ~ spl31_8
    | spl31_125
    | ~ spl31_252 ),
    inference(forward_subsumption_resolution,[],[f2654,f1025]) ).

fof(f2658,definition,
    ( spl31_259
  <=> sF24 = select(sF1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_259])],[avatar_definition]) ).

fof(f2661,plain,
    ( spl31_259
    | ~ spl31_8
    | spl31_125
    | ~ spl31_252 ),
    inference(avatar_split_clause,[],[f2655,f2595,f1024,f105,f2658]) ).

fof(f2665,plain,
    ( sF24 = select(sF3,sF28)
    | i2 = sF28
    | ~ spl31_10
    | ~ spl31_253 ),
    inference(superposition,[],[f339,f2608]) ).

fof(f2666,plain,
    ( sF24 = select(sF3,sF28)
    | ~ spl31_10
    | spl31_125
    | ~ spl31_253 ),
    inference(forward_subsumption_resolution,[],[f2665,f1025]) ).

fof(f2669,definition,
    ( spl31_260
  <=> sF24 = select(sF3,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_260])],[avatar_definition]) ).

fof(f2672,plain,
    ( spl31_260
    | ~ spl31_10
    | spl31_125
    | ~ spl31_253 ),
    inference(avatar_split_clause,[],[f2666,f2606,f1024,f115,f2669]) ).

fof(f2673,plain,
    ( sF29 != select(sF1,sF28)
    | sF30 != select(sF3,sF28)
    | sF24 != select(sF1,sF28)
    | sF24 != select(sF3,sF28)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2674,plain,
    ( i1 != sF28
    | select(a1,sF28) != sF29
    | select(a1,i1) != sF2
    | sF2 != select(sF3,sF28)
    | sF30 != select(sF3,sF28)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2678,plain,
    ( i2 != i3
    | i3 != i4
    | i2 = i4 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2680,plain,
    ( i7 != sF28
    | i3 != i7
    | i3 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2681,plain,
    ( i2 != sF28
    | sF4 != select(sF5,i2)
    | sF6 != select(sF7,i2)
    | sF24 != select(sF5,sF28)
    | sF24 != select(sF7,sF28)
    | sF4 = sF6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2694,plain,
    ( i2 != i7
    | i2 != sF28
    | i7 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2699,plain,
    ( i2 != i3
    | i3 != sF28
    | i2 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2701,plain,
    ( i2 != sF28
    | i3 != sF28
    | i2 = i3 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2707,plain,
    ( i3 != i5
    | i3 != sF28
    | i2 != sF28
    | i2 = i5 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2717,plain,
    ( i1 != sF28
    | i3 != sF28
    | i1 = i3 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2721,plain,
    ( i6 != i7
    | sF22 != select(sF23,i6)
    | sF20 != select(sF21,i6)
    | select(sF23,i7) != sF24
    | sF24 != sF26
    | select(sF21,i7) != sF26
    | sF20 = sF22 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2725,plain,
    ( i6 != i7
    | select(sF17,i6) != sF22
    | sF22 != select(sF23,i6)
    | select(sF23,i7) != sF24
    | sF24 = select(sF17,i7) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2726,plain,
    ( i6 != i7
    | select(sF19,i6) != sF20
    | sF20 != select(sF21,i6)
    | select(sF21,i7) != sF26
    | sF24 != sF26
    | sF24 = select(sF19,i7) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2727,plain,
    ( i5 != i6
    | sF16 != select(sF17,i5)
    | select(sF17,i6) != sF22
    | sF16 = sF22 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2729,plain,
    ( i5 != i6
    | sF18 != select(sF19,i5)
    | sF16 != select(sF17,i5)
    | select(sF19,i6) != sF20
    | sF20 != sF22
    | select(sF17,i6) != sF22
    | sF16 = sF18 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2730,plain,
    ( sF16 = select(sF9,i5)
    | ~ spl31_57
    | ~ spl31_109 ),
    inference(forward_demodulation,[],[f403,f890]) ).

fof(f2745,plain,
    ( ~ spl31_194
    | spl31_145
    | ~ spl31_201 ),
    inference(avatar_split_clause,[],[f2338,f1730,f1177,f1664]) ).

fof(f2749,plain,
    ( ! [X0] :
        ( select(sF17,X0) = select(sF19,X0)
        | i5 = X0
        | i7 = X0 )
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_196 ),
    inference(forward_demodulation,[],[f2061,f1694]) ).

fof(f2751,plain,
    ( i5 = sF28
    | ~ spl31_20
    | ~ spl31_144
    | ~ spl31_201
    | spl31_240 ),
    inference(forward_subsumption_resolution,[],[f2377,f2385]) ).

fof(f2753,plain,
    ( i5 = sF28
    | ~ spl31_22
    | ~ spl31_146
    | ~ spl31_201
    | spl31_242 ),
    inference(forward_subsumption_resolution,[],[f2398,f2406]) ).

fof(f2774,definition,
    ( spl31_262
  <=> sF16 = select(sF9,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_262])],[avatar_definition]) ).

fof(f2776,plain,
    ( sF16 = select(sF9,i5)
    | ~ spl31_262 ),
    inference(avatar_component_clause,[],[f2774]) ).

fof(f2777,plain,
    ( spl31_262
    | ~ spl31_57
    | ~ spl31_109 ),
    inference(avatar_split_clause,[],[f2730,f888,f401,f2774]) ).

fof(f2803,definition,
    ( spl31_266
  <=> i5 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_266])],[avatar_definition]) ).

fof(f2804,plain,
    ( i5 != sF28
    | spl31_266 ),
    inference(avatar_component_clause,[],[f2803]) ).

fof(f2805,plain,
    ( i5 = sF28
    | ~ spl31_266 ),
    inference(avatar_component_clause,[],[f2803]) ).

fof(f2806,plain,
    ( spl31_266
    | ~ spl31_20
    | ~ spl31_144
    | ~ spl31_201
    | spl31_240 ),
    inference(avatar_split_clause,[],[f2751,f2384,f1730,f1173,f165,f2803]) ).

fof(f2807,plain,
    ( spl31_266
    | ~ spl31_22
    | ~ spl31_146
    | ~ spl31_201
    | spl31_242 ),
    inference(avatar_split_clause,[],[f2753,f2405,f1730,f1195,f175,f2803]) ).

fof(f2832,definition,
    ( spl31_269
  <=> i5 = i7 ),
    introduced(definition,[new_symbols(definition,[spl31_269])],[avatar_definition]) ).

fof(f2833,plain,
    ( i5 != i7
    | spl31_269 ),
    inference(avatar_component_clause,[],[f2832]) ).

fof(f2836,definition,
    ( spl31_270
  <=> sF24 = select(sF13,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_270])],[avatar_definition]) ).

fof(f2838,plain,
    ( sF24 = select(sF13,i7)
    | ~ spl31_270 ),
    inference(avatar_component_clause,[],[f2836]) ).

fof(f2840,plain,
    ( spl31_269
    | spl31_270
    | ~ spl31_20
    | ~ spl31_144 ),
    inference(avatar_split_clause,[],[f2368,f1173,f165,f2836,f2832]) ).

fof(f2842,definition,
    ( spl31_271
  <=> sF24 = select(sF15,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_271])],[avatar_definition]) ).

fof(f2844,plain,
    ( sF24 = select(sF15,i7)
    | ~ spl31_271 ),
    inference(avatar_component_clause,[],[f2842]) ).

fof(f2846,plain,
    ( spl31_269
    | spl31_271
    | ~ spl31_22
    | ~ spl31_146 ),
    inference(avatar_split_clause,[],[f2389,f1195,f175,f2842,f2832]) ).

fof(f2851,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i5 = X0
        | i5 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_196 ),
    inference(superposition,[],[f464,f2749]) ).

fof(f2854,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i5 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_196 ),
    inference(duplicate_literal_removal,[],[f2851]) ).

fof(f2858,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i5 = X0
        | i5 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_196 ),
    inference(superposition,[],[f431,f2854]) ).

fof(f2862,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i5 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_196 ),
    inference(duplicate_literal_removal,[],[f2858]) ).

fof(f2869,plain,
    ( sF14 = select(sF13,i4)
    | i4 = i5
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_196 ),
    inference(superposition,[],[f2862,f1068]) ).

fof(f2878,plain,
    ( sF12 = sF14
    | i4 = i5
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_196 ),
    inference(forward_demodulation,[],[f2869,f1073]) ).

fof(f2884,plain,
    ( sF8 = sF12
    | i4 = i5
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_150
    | ~ spl31_196 ),
    inference(forward_demodulation,[],[f2878,f1300]) ).

fof(f2889,plain,
    ( sF8 = sF10
    | i4 = i5
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_149
    | ~ spl31_150
    | ~ spl31_196 ),
    inference(forward_demodulation,[],[f2884,f1295]) ).

fof(f2892,plain,
    ( i4 = i5
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(forward_subsumption_resolution,[],[f2889,f1522]) ).

fof(f2894,plain,
    ( i3 = i5
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_141
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(forward_demodulation,[],[f2892,f1127]) ).

fof(f2896,plain,
    ( i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_141
    | spl31_142
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(forward_subsumption_resolution,[],[f2894,f1138]) ).

fof(f2898,plain,
    ( i3 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_141
    | spl31_142
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(forward_demodulation,[],[f2896,f1127]) ).

fof(f2901,plain,
    ( $false
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_141
    | spl31_142
    | spl31_145
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(forward_subsumption_resolution,[],[f2898,f1178]) ).

fof(f2902,plain,
    ( ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_141
    | spl31_142
    | spl31_145
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(avatar_contradiction_clause,[],[f2901]) ).

fof(f2903,plain,
    ( i3 != i4
    | select(sF9,i4) != sF14
    | select(sF11,i4) != sF12
    | sF8 != select(sF9,i3)
    | sF8 != sF10
    | sF10 != select(sF11,i3)
    | sF12 = sF14 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f2911,plain,
    ( spl31_167
    | ~ spl31_117
    | ~ spl31_132
    | ~ spl31_141
    | ~ spl31_184 ),
    inference(avatar_split_clause,[],[f1922,f1583,f1125,f1066,f952,f1438]) ).

fof(f3161,definition,
    ( spl31_277
  <=> i1 = i5 ),
    introduced(definition,[new_symbols(definition,[spl31_277])],[avatar_definition]) ).

fof(f3162,plain,
    ( i1 != i5
    | spl31_277 ),
    inference(avatar_component_clause,[],[f3161]) ).

fof(f3163,plain,
    ( i1 = i5
    | ~ spl31_277 ),
    inference(avatar_component_clause,[],[f3161]) ).

fof(f3259,plain,
    ( sF16 = select(sF7,i5)
    | i3 = i5
    | ~ spl31_14
    | ~ spl31_199 ),
    inference(superposition,[],[f376,f1712]) ).

fof(f3260,plain,
    ( sF16 = select(sF7,i5)
    | ~ spl31_14
    | spl31_142
    | ~ spl31_199 ),
    inference(forward_subsumption_resolution,[],[f3259,f1138]) ).

fof(f3267,plain,
    ( sF16 = select(sF7,sF28)
    | ~ spl31_14
    | spl31_142
    | ~ spl31_199
    | ~ spl31_266 ),
    inference(forward_demodulation,[],[f3260,f2805]) ).

fof(f3270,definition,
    ( spl31_287
  <=> sF16 = select(sF7,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_287])],[avatar_definition]) ).

fof(f3272,plain,
    ( sF16 = select(sF7,sF28)
    | ~ spl31_287 ),
    inference(avatar_component_clause,[],[f3270]) ).

fof(f3273,plain,
    ( spl31_287
    | ~ spl31_14
    | spl31_142
    | ~ spl31_199
    | ~ spl31_266 ),
    inference(avatar_split_clause,[],[f3267,f2803,f1710,f1137,f135,f3270]) ).

fof(f3276,plain,
    ( sF16 = select(sF5,i5)
    | i3 = i5
    | ~ spl31_12
    | ~ spl31_262 ),
    inference(superposition,[],[f343,f2776]) ).

fof(f3277,plain,
    ( sF16 = select(sF5,i5)
    | ~ spl31_12
    | spl31_142
    | ~ spl31_262 ),
    inference(forward_subsumption_resolution,[],[f3276,f1138]) ).

fof(f3284,plain,
    ( sF16 = select(sF5,sF28)
    | ~ spl31_12
    | spl31_142
    | ~ spl31_262
    | ~ spl31_266 ),
    inference(forward_demodulation,[],[f3277,f2805]) ).

fof(f3287,definition,
    ( spl31_289
  <=> sF16 = select(sF5,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_289])],[avatar_definition]) ).

fof(f3289,plain,
    ( sF16 = select(sF5,sF28)
    | ~ spl31_289 ),
    inference(avatar_component_clause,[],[f3287]) ).

fof(f3290,plain,
    ( spl31_289
    | ~ spl31_12
    | spl31_142
    | ~ spl31_262
    | ~ spl31_266 ),
    inference(avatar_split_clause,[],[f3284,f2803,f2774,f1137,f125,f3287]) ).

fof(f3310,plain,
    ( sF8 != select(sF13,i3)
    | i3 = i5
    | ~ spl31_20
    | spl31_183 ),
    inference(superposition,[],[f1575,f431]) ).

fof(f3311,plain,
    ( i3 = i5
    | ~ spl31_20
    | spl31_183
    | ~ spl31_185 ),
    inference(forward_subsumption_resolution,[],[f3310,f1595]) ).

fof(f3313,plain,
    ( $false
    | ~ spl31_20
    | spl31_142
    | spl31_183
    | ~ spl31_185 ),
    inference(forward_subsumption_resolution,[],[f3311,f1138]) ).

fof(f3314,plain,
    ( ~ spl31_20
    | spl31_142
    | spl31_183
    | ~ spl31_185 ),
    inference(avatar_contradiction_clause,[],[f3313]) ).

fof(f3347,plain,
    ( sF24 = select(sF9,i7)
    | i4 = i7
    | ~ spl31_16
    | ~ spl31_270 ),
    inference(superposition,[],[f2838,f387]) ).

fof(f3348,plain,
    ( sF24 = select(sF9,i7)
    | i4 = i7
    | ~ spl31_16
    | ~ spl31_270 ),
    inference(superposition,[],[f387,f2838]) ).

fof(f3357,plain,
    ( sF24 = select(sF11,i7)
    | i4 = i7
    | ~ spl31_18
    | ~ spl31_271 ),
    inference(superposition,[],[f2844,f420]) ).

fof(f3358,plain,
    ( sF24 = select(sF11,i7)
    | i4 = i7
    | ~ spl31_18
    | ~ spl31_271 ),
    inference(superposition,[],[f420,f2844]) ).

fof(f3359,plain,
    ( sF24 = select(sF11,i2)
    | i4 = i7
    | ~ spl31_18
    | ~ spl31_68
    | ~ spl31_271 ),
    inference(forward_demodulation,[],[f3358,f487]) ).

fof(f3362,plain,
    ( i2 = i4
    | sF24 = select(sF11,i2)
    | ~ spl31_18
    | ~ spl31_68
    | ~ spl31_271 ),
    inference(forward_demodulation,[],[f3359,f487]) ).

fof(f3364,plain,
    ( sF24 = select(sF11,i2)
    | ~ spl31_18
    | spl31_50
    | ~ spl31_68
    | ~ spl31_271 ),
    inference(forward_subsumption_resolution,[],[f3362,f354]) ).

fof(f3366,plain,
    ( spl31_258
    | ~ spl31_18
    | spl31_50
    | ~ spl31_68
    | ~ spl31_271 ),
    inference(avatar_split_clause,[],[f3364,f2842,f485,f353,f155,f2647]) ).

fof(f3378,plain,
    ( sF16 = select(sF3,sF28)
    | i2 = sF28
    | ~ spl31_10
    | ~ spl31_287 ),
    inference(superposition,[],[f339,f3272]) ).

fof(f3379,plain,
    ( sF16 = select(sF3,sF28)
    | ~ spl31_10
    | spl31_125
    | ~ spl31_287 ),
    inference(forward_subsumption_resolution,[],[f3378,f1025]) ).

fof(f3382,definition,
    ( spl31_291
  <=> sF16 = select(sF3,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_291])],[avatar_definition]) ).

fof(f3385,plain,
    ( spl31_291
    | ~ spl31_10
    | spl31_125
    | ~ spl31_287 ),
    inference(avatar_split_clause,[],[f3379,f3270,f1024,f115,f3382]) ).

fof(f3389,plain,
    ( sF16 = select(sF1,sF28)
    | i2 = sF28
    | ~ spl31_8
    | ~ spl31_289 ),
    inference(superposition,[],[f314,f3289]) ).

fof(f3390,plain,
    ( sF16 = select(sF1,sF28)
    | ~ spl31_8
    | spl31_125
    | ~ spl31_289 ),
    inference(forward_subsumption_resolution,[],[f3389,f1025]) ).

fof(f3393,definition,
    ( spl31_292
  <=> sF16 = select(sF1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_292])],[avatar_definition]) ).

fof(f3396,plain,
    ( spl31_292
    | ~ spl31_8
    | spl31_125
    | ~ spl31_289 ),
    inference(avatar_split_clause,[],[f3390,f3287,f1024,f105,f3393]) ).

fof(f3397,plain,
    ( sF29 != select(sF1,sF28)
    | sF30 != select(sF3,sF28)
    | sF16 != select(sF1,sF28)
    | sF16 != select(sF3,sF28)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3400,plain,
    ( i3 != i4
    | i4 != i5
    | i3 = i5 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3401,plain,
    ( i3 != i4
    | i4 != i5
    | i5 != i6
    | i3 = i6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3403,plain,
    ( i3 != i4
    | i4 != i5
    | i5 != sF28
    | i3 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3421,definition,
    ( spl31_293
  <=> sF16 = select(sF7,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_293])],[avatar_definition]) ).

fof(f3423,plain,
    ( sF16 = select(sF7,i5)
    | ~ spl31_293 ),
    inference(avatar_component_clause,[],[f3421]) ).

fof(f3424,plain,
    ( spl31_293
    | ~ spl31_14
    | spl31_142
    | ~ spl31_199 ),
    inference(avatar_split_clause,[],[f3260,f1710,f1137,f135,f3421]) ).

fof(f3426,definition,
    ( spl31_294
  <=> sF16 = select(sF5,i5) ),
    introduced(definition,[new_symbols(definition,[spl31_294])],[avatar_definition]) ).

fof(f3428,plain,
    ( sF16 = select(sF5,i5)
    | ~ spl31_294 ),
    inference(avatar_component_clause,[],[f3426]) ).

fof(f3429,plain,
    ( spl31_294
    | ~ spl31_12
    | spl31_142
    | ~ spl31_262 ),
    inference(avatar_split_clause,[],[f3277,f2774,f1137,f125,f3426]) ).

fof(f3436,plain,
    ( i3 = i7
    | sF24 = select(sF9,i7)
    | ~ spl31_16
    | ~ spl31_141
    | ~ spl31_270 ),
    inference(forward_demodulation,[],[f3348,f1127]) ).

fof(f3438,plain,
    ( i3 = i7
    | sF24 = select(sF11,i7)
    | ~ spl31_18
    | ~ spl31_141
    | ~ spl31_271 ),
    inference(forward_demodulation,[],[f3358,f1127]) ).

fof(f3458,plain,
    ( sF24 = select(sF9,i7)
    | ~ spl31_16
    | ~ spl31_141
    | spl31_145
    | ~ spl31_270 ),
    inference(forward_subsumption_resolution,[],[f3436,f1178]) ).

fof(f3460,plain,
    ( sF24 = select(sF11,i7)
    | ~ spl31_18
    | ~ spl31_141
    | spl31_145
    | ~ spl31_271 ),
    inference(forward_subsumption_resolution,[],[f3438,f1178]) ).

fof(f3473,definition,
    ( spl31_298
  <=> sF24 = select(sF9,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_298])],[avatar_definition]) ).

fof(f3475,plain,
    ( sF24 = select(sF9,i7)
    | ~ spl31_298 ),
    inference(avatar_component_clause,[],[f3473]) ).

fof(f3476,plain,
    ( spl31_298
    | ~ spl31_16
    | ~ spl31_141
    | spl31_145
    | ~ spl31_270 ),
    inference(avatar_split_clause,[],[f3458,f2836,f1177,f1125,f145,f3473]) ).

fof(f3478,definition,
    ( spl31_299
  <=> sF24 = select(sF11,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_299])],[avatar_definition]) ).

fof(f3480,plain,
    ( sF24 = select(sF11,i7)
    | ~ spl31_299 ),
    inference(avatar_component_clause,[],[f3478]) ).

fof(f3481,plain,
    ( spl31_299
    | ~ spl31_18
    | ~ spl31_141
    | spl31_145
    | ~ spl31_271 ),
    inference(avatar_split_clause,[],[f3460,f2842,f1177,f1125,f155,f3478]) ).

fof(f3482,plain,
    ( i4 != i5
    | select(sF9,i4) != sF14
    | sF14 != select(sF15,i4)
    | select(sF15,i5) != sF16
    | sF16 != sF18
    | sF18 = select(sF9,i5) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3483,plain,
    ( i4 != i5
    | sF14 != select(sF15,i4)
    | select(sF15,i5) != sF16
    | sF14 = sF16 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3484,plain,
    ( i4 != i5
    | sF12 != select(sF13,i4)
    | select(sF13,i5) != sF18
    | sF12 = sF18 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3486,plain,
    ( i4 != i5
    | sF12 != select(sF13,i4)
    | sF14 != select(sF15,i4)
    | select(sF13,i5) != sF18
    | sF16 != sF18
    | select(sF15,i5) != sF16
    | sF12 = sF14 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3487,plain,
    ( i4 != i5
    | select(sF11,i4) != sF12
    | sF12 != select(sF13,i4)
    | select(sF13,i5) != sF18
    | sF16 != sF18
    | sF16 = select(sF11,i5) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3488,plain,
    ( i4 != i5
    | select(sF9,i4) != sF14
    | sF14 != select(sF15,i4)
    | select(sF15,i5) != sF16
    | sF16 = select(sF9,i5) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3490,plain,
    ( sF20 = select(sF13,i6)
    | ~ spl31_63
    | ~ spl31_101 ),
    inference(forward_demodulation,[],[f447,f826]) ).

fof(f3516,definition,
    ( spl31_301
  <=> sF16 = select(sF17,i3) ),
    introduced(definition,[new_symbols(definition,[spl31_301])],[avatar_definition]) ).

fof(f3519,plain,
    ( spl31_301
    | ~ spl31_131
    | ~ spl31_142 ),
    inference(avatar_split_clause,[],[f1568,f1137,f1061,f3516]) ).

fof(f3569,definition,
    ( spl31_305
  <=> sF20 = select(sF13,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_305])],[avatar_definition]) ).

fof(f3571,plain,
    ( sF20 = select(sF13,i6)
    | ~ spl31_305 ),
    inference(avatar_component_clause,[],[f3569]) ).

fof(f3572,plain,
    ( spl31_305
    | ~ spl31_63
    | ~ spl31_101 ),
    inference(avatar_split_clause,[],[f3490,f824,f445,f3569]) ).

fof(f3631,plain,
    ( sF18 = select(sF17,i5)
    | i5 = i6
    | i5 = i7
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_130 ),
    inference(superposition,[],[f2061,f1058]) ).

fof(f3632,plain,
    ( ! [X0] :
        ( select(sF15,X0) = select(sF17,X0)
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f464,f2061]) ).

fof(f3633,plain,
    ( sF16 != select(sF17,i3)
    | i3 = i6
    | i3 = i7
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_214 ),
    inference(superposition,[],[f1814,f2061]) ).

fof(f3636,plain,
    ( sF16 != select(sF17,i3)
    | i3 = i7
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_143
    | spl31_214 ),
    inference(forward_subsumption_resolution,[],[f3633,f1156]) ).

fof(f3638,plain,
    ( sF18 = select(sF17,i5)
    | i5 = i6
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_130
    | spl31_269 ),
    inference(forward_subsumption_resolution,[],[f3631,f2833]) ).

fof(f3641,plain,
    ( sF16 != select(sF17,i3)
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_143
    | spl31_145
    | spl31_214 ),
    inference(forward_subsumption_resolution,[],[f3636,f1178]) ).

fof(f3642,plain,
    ( sF16 = sF18
    | i5 = i6
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_130
    | ~ spl31_131
    | spl31_269 ),
    inference(forward_demodulation,[],[f3638,f1063]) ).

fof(f3645,plain,
    ( i5 = i6
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | spl31_269 ),
    inference(forward_subsumption_resolution,[],[f3642,f889]) ).

fof(f3654,plain,
    ( i3 != i5
    | sF18 != select(sF19,i5)
    | sF16 != select(sF19,i3)
    | sF16 = sF18 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3661,plain,
    ( i3 != i5
    | i3 != i7
    | sF24 != select(sF19,i7)
    | sF24 != select(sF17,i7)
    | sF16 != select(sF17,i5)
    | sF16 = select(sF19,i3) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3662,plain,
    ( i5 != i6
    | select(sF13,i5) != sF18
    | sF16 != sF18
    | sF16 != sF22
    | sF22 = select(sF13,i6) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3669,plain,
    ( ~ spl31_301
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_143
    | spl31_145
    | spl31_214 ),
    inference(avatar_split_clause,[],[f3641,f1813,f1177,f1155,f236,f205,f195,f185,f3516]) ).

fof(f3688,plain,
    ( $false
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | spl31_196
    | spl31_269 ),
    inference(forward_subsumption_resolution,[],[f3645,f1693]) ).

fof(f3689,plain,
    ( ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | spl31_196
    | spl31_269 ),
    inference(avatar_contradiction_clause,[],[f3688]) ).

fof(f3690,plain,
    ( sF12 = select(sF7,i4)
    | ~ spl31_14
    | ~ spl31_15
    | spl31_141 ),
    inference(forward_subsumption_resolution,[],[f1131,f1126]) ).

fof(f3693,definition,
    ( spl31_315
  <=> i4 = i7 ),
    introduced(definition,[new_symbols(definition,[spl31_315])],[avatar_definition]) ).

fof(f3694,plain,
    ( i4 != i7
    | spl31_315 ),
    inference(avatar_component_clause,[],[f3693]) ).

fof(f3697,plain,
    ( spl31_315
    | spl31_298
    | ~ spl31_16
    | ~ spl31_270 ),
    inference(avatar_split_clause,[],[f3347,f2836,f145,f3473,f3693]) ).

fof(f3699,plain,
    ( spl31_315
    | spl31_299
    | ~ spl31_18
    | ~ spl31_271 ),
    inference(avatar_split_clause,[],[f3357,f2842,f155,f3478,f3693]) ).

fof(f3702,plain,
    ( spl31_202
    | ~ spl31_14
    | ~ spl31_15
    | spl31_141 ),
    inference(avatar_split_clause,[],[f3690,f1125,f140,f135,f1738]) ).

fof(f3709,plain,
    ( i5 != i7
    | sF16 != select(sF17,i5)
    | sF18 != select(sF19,i5)
    | sF24 != select(sF17,i7)
    | sF24 != select(sF19,i7)
    | sF16 = sF18 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3711,plain,
    ( i5 != i7
    | select(sF13,i5) != sF18
    | sF18 != select(sF19,i5)
    | sF24 != select(sF19,i7)
    | sF24 = select(sF13,i7) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3712,plain,
    ( i5 != i7
    | select(sF15,i5) != sF16
    | sF16 != select(sF17,i5)
    | sF24 != select(sF17,i7)
    | sF24 = select(sF15,i7) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3713,plain,
    ( i4 != i7
    | sF12 != select(sF13,i4)
    | sF14 != select(sF15,i4)
    | sF24 != select(sF13,i7)
    | sF24 != select(sF15,i7)
    | sF12 = sF14 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3765,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i5 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f431,f3632]) ).

fof(f3766,plain,
    ( ! [X0] :
        ( select(sF13,X0) = select(sF15,X0)
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(duplicate_literal_removal,[],[f3765]) ).

fof(f3770,plain,
    ( ! [X0] :
        ( select(sF11,X0) = select(sF13,X0)
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f420,f3766]) ).

fof(f3773,plain,
    ( sF14 = select(sF13,i4)
    | i4 = i5
    | i4 = i6
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132 ),
    inference(superposition,[],[f1068,f3766]) ).

fof(f3774,plain,
    ( sF12 = sF14
    | i4 = i5
    | i4 = i6
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133 ),
    inference(forward_demodulation,[],[f3773,f1073]) ).

fof(f3779,plain,
    ( i4 = i5
    | i4 = i6
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133 ),
    inference(forward_subsumption_resolution,[],[f3774,f953]) ).

fof(f3800,plain,
    ( i3 != i7
    | i3 != i4
    | i4 = i7 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3806,plain,
    ( i4 = i6
    | i4 = i7
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | spl31_198 ),
    inference(forward_subsumption_resolution,[],[f3779,f1707]) ).

fof(f3808,plain,
    ( i4 = i6
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | spl31_198
    | spl31_315 ),
    inference(forward_subsumption_resolution,[],[f3806,f3694]) ).

fof(f3811,definition,
    ( spl31_321
  <=> i4 = i6 ),
    introduced(definition,[new_symbols(definition,[spl31_321])],[avatar_definition]) ).

fof(f3814,plain,
    ( spl31_321
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | spl31_198
    | spl31_315 ),
    inference(avatar_split_clause,[],[f3808,f3693,f1706,f1071,f1066,f952,f236,f205,f195,f185,f175,f165,f3811]) ).

fof(f3815,plain,
    ( i4 != i6
    | sF14 != select(sF15,i4)
    | sF12 != select(sF13,i4)
    | sF20 != select(sF15,i6)
    | sF20 != sF22
    | sF22 != select(sF13,i6)
    | sF12 = sF14 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f3818,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF11,X0)
        | i4 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f387,f3770]) ).

fof(f3819,plain,
    ( ! [X0] :
        ( select(sF9,X0) = select(sF11,X0)
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(duplicate_literal_removal,[],[f3818]) ).

fof(f3822,plain,
    ( sF10 = select(sF9,i3)
    | i3 = i4
    | i3 = i5
    | i3 = i6
    | i3 = i7
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134 ),
    inference(superposition,[],[f3819,f1080]) ).

fof(f3823,plain,
    ( ! [X0] :
        ( select(sF7,X0) = select(sF9,X0)
        | i3 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f376,f3819]) ).

fof(f3826,plain,
    ( sF10 = select(sF9,i3)
    | i3 = i5
    | i3 = i6
    | i3 = i7
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3822,f1126]) ).

fof(f3828,plain,
    ( sF10 = select(sF9,i3)
    | i3 = i6
    | i3 = i7
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | spl31_141
    | spl31_142 ),
    inference(forward_subsumption_resolution,[],[f3826,f1138]) ).

fof(f3830,plain,
    ( sF10 = select(sF9,i3)
    | i3 = i7
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | spl31_141
    | spl31_142
    | spl31_143 ),
    inference(forward_subsumption_resolution,[],[f3828,f1156]) ).

fof(f3832,plain,
    ( sF10 = select(sF9,i3)
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | spl31_141
    | spl31_142
    | spl31_143
    | spl31_145 ),
    inference(forward_subsumption_resolution,[],[f3830,f1178]) ).

fof(f3834,plain,
    ( sF8 = sF10
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | ~ spl31_135
    | spl31_141
    | spl31_142
    | spl31_143
    | spl31_145 ),
    inference(forward_demodulation,[],[f3832,f1085]) ).

fof(f3837,plain,
    ( $false
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | ~ spl31_135
    | spl31_141
    | spl31_142
    | spl31_143
    | spl31_145
    | spl31_177 ),
    inference(forward_subsumption_resolution,[],[f3834,f1522]) ).

fof(f3838,plain,
    ( ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | ~ spl31_135
    | spl31_141
    | spl31_142
    | spl31_143
    | spl31_145
    | spl31_177 ),
    inference(avatar_contradiction_clause,[],[f3837]) ).

fof(f3901,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i3 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f343,f3823]) ).

fof(f3902,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(duplicate_literal_removal,[],[f3901]) ).

fof(f3904,plain,
    ( ! [X0] :
        ( i3 = X0
        | select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141 ),
    inference(forward_demodulation,[],[f3902,f1127]) ).

fof(f3905,plain,
    ( ! [X0] :
        ( select(sF5,X0) = select(sF7,X0)
        | i3 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141 ),
    inference(duplicate_literal_removal,[],[f3904]) ).

fof(f3909,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i3
    | i2 = i5
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_85
    | ~ spl31_141 ),
    inference(superposition,[],[f3905,f691]) ).

fof(f3910,plain,
    ( ! [X0] :
        ( select(sF3,X0) = select(sF5,X0)
        | i2 = X0
        | i3 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141 ),
    inference(superposition,[],[f339,f3905]) ).

fof(f3913,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i5
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | ~ spl31_85
    | ~ spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3909,f319]) ).

fof(f3915,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | ~ spl31_85
    | ~ spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3913,f398]) ).

fof(f3917,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | spl31_62
    | ~ spl31_85
    | ~ spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3915,f442]) ).

fof(f3919,plain,
    ( sF6 = select(sF5,i2)
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3917,f486]) ).

fof(f3921,plain,
    ( sF4 = sF6
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | ~ spl31_141 ),
    inference(forward_demodulation,[],[f3919,f696]) ).

fof(f3924,plain,
    ( $false
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3921,f1008]) ).

fof(f3925,plain,
    ( ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_141 ),
    inference(avatar_contradiction_clause,[],[f3924]) ).

fof(f3927,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF3,X0)
        | i2 = X0
        | i2 = X0
        | i3 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141 ),
    inference(superposition,[],[f314,f3910]) ).

fof(f3928,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF3,X0)
        | i2 = X0
        | i3 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_141 ),
    inference(duplicate_literal_removal,[],[f3927]) ).

fof(f3930,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i2
    | i1 = i3
    | i1 = i5
    | i1 = i6
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | ~ spl31_141 ),
    inference(superposition,[],[f3928,f1090]) ).

fof(f3933,plain,
    ( sF30 = select(sF1,sF28)
    | i2 = sF28
    | i3 = sF28
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_140
    | ~ spl31_141 ),
    inference(superposition,[],[f1120,f3928]) ).

fof(f3934,plain,
    ( sF30 = select(sF1,sF28)
    | i3 = sF28
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141 ),
    inference(forward_subsumption_resolution,[],[f3933,f1025]) ).

fof(f3937,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i3
    | i1 = i5
    | i1 = i6
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | ~ spl31_141
    | spl31_188 ),
    inference(forward_subsumption_resolution,[],[f3930,f1613]) ).

fof(f3938,plain,
    ( sF30 = select(sF1,sF28)
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194 ),
    inference(forward_subsumption_resolution,[],[f3934,f1665]) ).

fof(f3941,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i5
    | i1 = i6
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | ~ spl31_141
    | spl31_187
    | spl31_188 ),
    inference(forward_subsumption_resolution,[],[f3937,f1609]) ).

fof(f3942,plain,
    ( sF30 = select(sF1,sF28)
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194
    | spl31_266 ),
    inference(forward_subsumption_resolution,[],[f3938,f2804]) ).

fof(f3945,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i5
    | i1 = i6
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | ~ spl31_141
    | spl31_186
    | spl31_187
    | spl31_188 ),
    inference(forward_subsumption_resolution,[],[f3941,f1605]) ).

fof(f3946,plain,
    ( sF30 = select(sF1,sF28)
    | i6 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194
    | spl31_201
    | spl31_266 ),
    inference(forward_subsumption_resolution,[],[f3942,f1732]) ).

fof(f3949,plain,
    ( sF0 = sF2
    | i1 = i5
    | i1 = i6
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | ~ spl31_137
    | ~ spl31_141
    | spl31_186
    | spl31_187
    | spl31_188 ),
    inference(forward_demodulation,[],[f3945,f1095]) ).

fof(f3950,plain,
    ( sF29 = sF30
    | i6 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194
    | spl31_201
    | spl31_266 ),
    inference(forward_demodulation,[],[f3946,f251]) ).

fof(f3953,plain,
    ( i1 = i5
    | i1 = i6
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | ~ spl31_141
    | spl31_186
    | spl31_187
    | spl31_188 ),
    inference(forward_subsumption_resolution,[],[f3949,f298]) ).

fof(f3954,plain,
    ( i6 = sF28
    | spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194
    | spl31_201
    | spl31_266 ),
    inference(forward_subsumption_resolution,[],[f3950,f72]) ).

fof(f3956,definition,
    ( spl31_324
  <=> i1 = i6 ),
    introduced(definition,[new_symbols(definition,[spl31_324])],[avatar_definition]) ).

fof(f3957,plain,
    ( i1 != i6
    | spl31_324 ),
    inference(avatar_component_clause,[],[f3956]) ).

fof(f3961,plain,
    ( spl31_324
    | spl31_277
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | ~ spl31_141
    | spl31_186
    | spl31_187
    | spl31_188 ),
    inference(avatar_split_clause,[],[f3953,f1612,f1608,f1604,f1125,f1093,f1088,f296,f236,f205,f195,f185,f175,f165,f155,f145,f135,f125,f115,f105,f3161,f3956]) ).

fof(f3963,definition,
    ( spl31_325
  <=> i6 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_325])],[avatar_definition]) ).

fof(f3964,plain,
    ( i6 != sF28
    | spl31_325 ),
    inference(avatar_component_clause,[],[f3963]) ).

fof(f3965,plain,
    ( i6 = sF28
    | ~ spl31_325 ),
    inference(avatar_component_clause,[],[f3963]) ).

fof(f3966,plain,
    ( spl31_325
    | spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194
    | spl31_201
    | spl31_266 ),
    inference(avatar_split_clause,[],[f3954,f2803,f1730,f1664,f1125,f1118,f1024,f249,f236,f205,f195,f185,f175,f165,f155,f145,f135,f125,f115,f105,f70,f3963]) ).

fof(f3967,plain,
    ( i1 != i6
    | i6 != sF28
    | sF29 != select(sF1,sF28)
    | select(a2,sF28) != sF30
    | sF0 != select(sF1,i1)
    | select(a2,i1) != sF0
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4111,plain,
    ( sF20 = select(sF11,i6)
    | i4 = i6
    | ~ spl31_18
    | ~ spl31_197 ),
    inference(superposition,[],[f1698,f420]) ).

fof(f4127,definition,
    ( spl31_340
  <=> sF20 = select(sF11,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_340])],[avatar_definition]) ).

fof(f4140,plain,
    ( sF20 = select(sF9,i6)
    | i4 = i6
    | ~ spl31_16
    | ~ spl31_305 ),
    inference(superposition,[],[f3571,f387]) ).

fof(f4262,plain,
    ( sF16 = select(sF3,i5)
    | i2 = i5
    | ~ spl31_10
    | ~ spl31_293 ),
    inference(superposition,[],[f339,f3423]) ).

fof(f4263,plain,
    ( sF16 = select(sF3,i5)
    | ~ spl31_10
    | spl31_56
    | ~ spl31_293 ),
    inference(forward_subsumption_resolution,[],[f4262,f398]) ).

fof(f4270,plain,
    ( sF16 = select(sF3,i1)
    | ~ spl31_10
    | spl31_56
    | ~ spl31_277
    | ~ spl31_293 ),
    inference(forward_demodulation,[],[f4263,f3163]) ).

fof(f4272,plain,
    ( sF2 = sF16
    | ~ spl31_10
    | spl31_56
    | ~ spl31_136
    | ~ spl31_277
    | ~ spl31_293 ),
    inference(forward_demodulation,[],[f4270,f1090]) ).

fof(f4275,definition,
    ( spl31_347
  <=> sF2 = sF16 ),
    introduced(definition,[new_symbols(definition,[spl31_347])],[avatar_definition]) ).

fof(f4278,plain,
    ( spl31_347
    | ~ spl31_10
    | spl31_56
    | ~ spl31_136
    | ~ spl31_277
    | ~ spl31_293 ),
    inference(avatar_split_clause,[],[f4272,f3421,f3161,f1088,f397,f115,f4275]) ).

fof(f4306,plain,
    ( sF16 = select(sF1,i5)
    | i2 = i5
    | ~ spl31_8
    | ~ spl31_294 ),
    inference(superposition,[],[f314,f3428]) ).

fof(f4307,plain,
    ( sF16 = select(sF1,i5)
    | ~ spl31_8
    | spl31_56
    | ~ spl31_294 ),
    inference(forward_subsumption_resolution,[],[f4306,f398]) ).

fof(f4310,plain,
    ( sF16 = select(sF1,i1)
    | ~ spl31_8
    | spl31_56
    | ~ spl31_277
    | ~ spl31_294 ),
    inference(forward_demodulation,[],[f4307,f3163]) ).

fof(f4317,plain,
    ( sF0 = sF16
    | ~ spl31_8
    | spl31_56
    | ~ spl31_137
    | ~ spl31_277
    | ~ spl31_294 ),
    inference(forward_demodulation,[],[f4310,f1095]) ).

fof(f4320,definition,
    ( spl31_351
  <=> sF0 = sF16 ),
    introduced(definition,[new_symbols(definition,[spl31_351])],[avatar_definition]) ).

fof(f4323,plain,
    ( spl31_351
    | ~ spl31_8
    | spl31_56
    | ~ spl31_137
    | ~ spl31_277
    | ~ spl31_294 ),
    inference(avatar_split_clause,[],[f4317,f3426,f3161,f1093,f397,f105,f4320]) ).

fof(f4324,plain,
    ( sF0 != sF16
    | sF2 != sF16
    | sF0 = sF2 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4330,plain,
    ( i5 != i6
    | select(sF15,i5) != sF16
    | sF16 != sF22
    | sF20 != sF22
    | sF20 = select(sF15,i6) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4332,plain,
    ( sF12 = select(sF5,i4)
    | ~ spl31_51
    | ~ spl31_117 ),
    inference(forward_demodulation,[],[f359,f954]) ).

fof(f4340,definition,
    ( spl31_352
  <=> sF20 = select(sF11,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_352])],[avatar_definition]) ).

fof(f4342,plain,
    ( sF20 = select(sF11,i6)
    | ~ spl31_352 ),
    inference(avatar_component_clause,[],[f4340]) ).

fof(f4344,plain,
    ( spl31_321
    | spl31_352
    | ~ spl31_18
    | ~ spl31_197 ),
    inference(avatar_split_clause,[],[f4111,f1696,f155,f4340,f3811]) ).

fof(f4346,definition,
    ( spl31_353
  <=> sF20 = select(sF9,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_353])],[avatar_definition]) ).

fof(f4348,plain,
    ( sF20 = select(sF9,i6)
    | ~ spl31_353 ),
    inference(avatar_component_clause,[],[f4346]) ).

fof(f4350,plain,
    ( spl31_321
    | spl31_353
    | ~ spl31_16
    | ~ spl31_305 ),
    inference(avatar_split_clause,[],[f4140,f3569,f145,f4346,f3811]) ).

fof(f4377,definition,
    ( spl31_358
  <=> sF12 = select(sF5,i4) ),
    introduced(definition,[new_symbols(definition,[spl31_358])],[avatar_definition]) ).

fof(f4379,plain,
    ( sF12 = select(sF5,i4)
    | ~ spl31_358 ),
    inference(avatar_component_clause,[],[f4377]) ).

fof(f4380,plain,
    ( spl31_358
    | ~ spl31_51
    | ~ spl31_117 ),
    inference(avatar_split_clause,[],[f4332,f952,f357,f4377]) ).

fof(f4397,plain,
    ( ! [X0] :
        ( select(sF3,X0) = select(sF5,X0)
        | i2 = X0
        | i3 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f339,f3902]) ).

fof(f4398,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i3
    | i2 = i4
    | i2 = i5
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_85 ),
    inference(superposition,[],[f691,f3902]) ).

fof(f4400,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i4
    | i2 = i5
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | ~ spl31_85 ),
    inference(forward_subsumption_resolution,[],[f4398,f319]) ).

fof(f4402,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i5
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | ~ spl31_85 ),
    inference(forward_subsumption_resolution,[],[f4400,f354]) ).

fof(f4404,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i6
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | spl31_56
    | ~ spl31_85 ),
    inference(forward_subsumption_resolution,[],[f4402,f398]) ).

fof(f4406,plain,
    ( sF6 = select(sF5,i2)
    | i2 = i7
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | spl31_56
    | spl31_62
    | ~ spl31_85 ),
    inference(forward_subsumption_resolution,[],[f4404,f442]) ).

fof(f4408,plain,
    ( sF6 = select(sF5,i2)
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85 ),
    inference(forward_subsumption_resolution,[],[f4406,f486]) ).

fof(f4410,plain,
    ( sF4 = sF6
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86 ),
    inference(forward_demodulation,[],[f4408,f696]) ).

fof(f4452,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF3,X0)
        | i2 = X0
        | i2 = X0
        | i3 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(superposition,[],[f314,f4397]) ).

fof(f4454,plain,
    ( ! [X0] :
        ( select(sF1,X0) = select(sF3,X0)
        | i2 = X0
        | i3 = X0
        | i4 = X0
        | i5 = X0
        | i6 = X0
        | i7 = X0 )
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34 ),
    inference(duplicate_literal_removal,[],[f4452]) ).

fof(f4490,definition,
    ( spl31_359
  <=> i4 = sF28 ),
    introduced(definition,[new_symbols(definition,[spl31_359])],[avatar_definition]) ).

fof(f4491,plain,
    ( i4 != sF28
    | spl31_359 ),
    inference(avatar_component_clause,[],[f4490]) ).

fof(f4492,plain,
    ( i4 = sF28
    | ~ spl31_359 ),
    inference(avatar_component_clause,[],[f4490]) ).

fof(f4501,plain,
    ( i7 != sF28
    | sF24 != select(sF9,i7)
    | sF24 = select(sF9,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4502,plain,
    ( i7 != sF28
    | sF24 != select(sF11,i7)
    | sF24 = select(sF11,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4504,plain,
    ( i4 != i7
    | i7 != sF28
    | select(sF11,i4) != sF12
    | sF12 != select(sF13,i4)
    | sF24 != select(sF13,sF28)
    | sF24 = select(sF11,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4505,plain,
    ( i4 != i7
    | i7 != sF28
    | sF14 != select(sF5,i4)
    | sF12 != sF14
    | sF12 != select(sF13,i4)
    | sF24 != select(sF13,sF28)
    | sF24 = select(sF5,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4506,plain,
    ( i4 != i7
    | i7 != sF28
    | sF12 != select(sF7,i4)
    | sF12 != select(sF13,i4)
    | sF24 != select(sF13,sF28)
    | sF24 = select(sF7,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4509,plain,
    ( i3 != i4
    | select(sF5,i3) != sF10
    | sF10 != select(sF11,i3)
    | select(sF11,i4) != sF12
    | sF12 != sF14
    | sF14 = select(sF5,i4) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4510,plain,
    ( i4 != i6
    | i3 != i4
    | i3 = i6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4588,plain,
    ( sF12 = select(sF3,i4)
    | i2 = i4
    | ~ spl31_10
    | ~ spl31_202 ),
    inference(superposition,[],[f339,f1740]) ).

fof(f4589,plain,
    ( sF12 = select(sF3,i4)
    | ~ spl31_10
    | spl31_50
    | ~ spl31_202 ),
    inference(forward_subsumption_resolution,[],[f4588,f354]) ).

fof(f4596,plain,
    ( sF12 = select(sF3,sF28)
    | ~ spl31_10
    | spl31_50
    | ~ spl31_202
    | ~ spl31_359 ),
    inference(forward_demodulation,[],[f4589,f4492]) ).

fof(f4599,definition,
    ( spl31_369
  <=> sF12 = select(sF3,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_369])],[avatar_definition]) ).

fof(f4602,plain,
    ( spl31_369
    | ~ spl31_10
    | spl31_50
    | ~ spl31_202
    | ~ spl31_359 ),
    inference(avatar_split_clause,[],[f4596,f4490,f1738,f353,f115,f4599]) ).

fof(f4605,plain,
    ( sF12 = select(sF1,i4)
    | i2 = i4
    | ~ spl31_8
    | ~ spl31_358 ),
    inference(superposition,[],[f314,f4379]) ).

fof(f4606,plain,
    ( sF12 = select(sF1,i4)
    | ~ spl31_8
    | spl31_50
    | ~ spl31_358 ),
    inference(forward_subsumption_resolution,[],[f4605,f354]) ).

fof(f4613,plain,
    ( sF12 = select(sF1,sF28)
    | ~ spl31_8
    | spl31_50
    | ~ spl31_358
    | ~ spl31_359 ),
    inference(forward_demodulation,[],[f4606,f4492]) ).

fof(f4616,definition,
    ( spl31_371
  <=> sF12 = select(sF1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_371])],[avatar_definition]) ).

fof(f4619,plain,
    ( spl31_371
    | ~ spl31_8
    | spl31_50
    | ~ spl31_358
    | ~ spl31_359 ),
    inference(avatar_split_clause,[],[f4613,f4490,f4377,f353,f105,f4616]) ).

fof(f4620,plain,
    ( sF29 != select(sF1,sF28)
    | sF30 != select(sF3,sF28)
    | sF12 != select(sF1,sF28)
    | sF12 != select(sF3,sF28)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4621,plain,
    ( i2 != i4
    | sF4 != select(sF5,i2)
    | sF14 != select(sF5,i4)
    | sF12 != sF14
    | sF4 = sF12 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4623,plain,
    ( i2 != i4
    | sF6 != select(sF7,i2)
    | sF4 != select(sF5,i2)
    | sF12 != select(sF7,i4)
    | sF12 != sF14
    | sF14 != select(sF5,i4)
    | sF4 = sF6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4626,plain,
    ( i2 != i5
    | sF4 != select(sF5,i2)
    | sF6 != select(sF7,i2)
    | sF16 != select(sF5,i5)
    | sF16 != select(sF7,i5)
    | sF4 = sF6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4783,plain,
    ( sF8 != select(sF9,i3)
    | i3 = i4
    | ~ spl31_16
    | spl31_185 ),
    inference(superposition,[],[f1594,f387]) ).

fof(f4784,plain,
    ( i3 = i4
    | ~ spl31_16
    | ~ spl31_135
    | spl31_185 ),
    inference(forward_subsumption_resolution,[],[f4783,f1085]) ).

fof(f4786,plain,
    ( $false
    | ~ spl31_16
    | ~ spl31_135
    | spl31_141
    | spl31_185 ),
    inference(forward_subsumption_resolution,[],[f4784,f1126]) ).

fof(f4787,plain,
    ( ~ spl31_16
    | ~ spl31_135
    | spl31_141
    | spl31_185 ),
    inference(avatar_contradiction_clause,[],[f4786]) ).

fof(f4845,plain,
    ( sF20 = select(sF11,sF28)
    | ~ spl31_325
    | ~ spl31_352 ),
    inference(superposition,[],[f4342,f3965]) ).

fof(f4847,plain,
    ( sF20 = select(sF7,i6)
    | i3 = i6
    | ~ spl31_14
    | ~ spl31_352 ),
    inference(superposition,[],[f376,f4342]) ).

fof(f4848,plain,
    ( sF20 = select(sF7,i6)
    | ~ spl31_14
    | spl31_143
    | ~ spl31_352 ),
    inference(forward_subsumption_resolution,[],[f4847,f1156]) ).

fof(f4850,plain,
    ( spl31_340
    | ~ spl31_325
    | ~ spl31_352 ),
    inference(avatar_split_clause,[],[f4845,f4340,f3963,f4127]) ).

fof(f4851,plain,
    ( sF20 = select(sF7,sF28)
    | ~ spl31_14
    | spl31_143
    | ~ spl31_325
    | ~ spl31_352 ),
    inference(forward_demodulation,[],[f4848,f3965]) ).

fof(f4854,definition,
    ( spl31_378
  <=> sF20 = select(sF7,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_378])],[avatar_definition]) ).

fof(f4856,plain,
    ( sF20 = select(sF7,sF28)
    | ~ spl31_378 ),
    inference(avatar_component_clause,[],[f4854]) ).

fof(f4857,plain,
    ( spl31_378
    | ~ spl31_14
    | spl31_143
    | ~ spl31_325
    | ~ spl31_352 ),
    inference(avatar_split_clause,[],[f4851,f4340,f3963,f1155,f135,f4854]) ).

fof(f4864,plain,
    ( sF20 = select(sF5,i6)
    | i3 = i6
    | ~ spl31_12
    | ~ spl31_353 ),
    inference(superposition,[],[f343,f4348]) ).

fof(f4865,plain,
    ( sF20 = select(sF5,i6)
    | ~ spl31_12
    | spl31_143
    | ~ spl31_353 ),
    inference(forward_subsumption_resolution,[],[f4864,f1156]) ).

fof(f4868,plain,
    ( sF20 = select(sF5,sF28)
    | ~ spl31_12
    | spl31_143
    | ~ spl31_325
    | ~ spl31_353 ),
    inference(forward_demodulation,[],[f4865,f3965]) ).

fof(f4871,definition,
    ( spl31_379
  <=> sF20 = select(sF5,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_379])],[avatar_definition]) ).

fof(f4873,plain,
    ( sF20 = select(sF5,sF28)
    | ~ spl31_379 ),
    inference(avatar_component_clause,[],[f4871]) ).

fof(f4874,plain,
    ( spl31_379
    | ~ spl31_12
    | spl31_143
    | ~ spl31_325
    | ~ spl31_353 ),
    inference(avatar_split_clause,[],[f4868,f4346,f3963,f1155,f125,f4871]) ).

fof(f4941,plain,
    ( sF24 = select(sF5,i7)
    | i3 = i7
    | ~ spl31_12
    | ~ spl31_298 ),
    inference(superposition,[],[f343,f3475]) ).

fof(f4942,plain,
    ( sF24 = select(sF5,i7)
    | ~ spl31_12
    | spl31_145
    | ~ spl31_298 ),
    inference(forward_subsumption_resolution,[],[f4941,f1178]) ).

fof(f4944,plain,
    ( sF24 = select(sF5,i2)
    | ~ spl31_12
    | ~ spl31_68
    | spl31_145
    | ~ spl31_298 ),
    inference(forward_demodulation,[],[f4942,f487]) ).

fof(f4946,plain,
    ( sF4 = sF24
    | ~ spl31_12
    | ~ spl31_68
    | ~ spl31_86
    | spl31_145
    | ~ spl31_298 ),
    inference(forward_demodulation,[],[f4944,f696]) ).

fof(f4949,definition,
    ( spl31_381
  <=> sF4 = sF24 ),
    introduced(definition,[new_symbols(definition,[spl31_381])],[avatar_definition]) ).

fof(f4951,plain,
    ( sF4 = sF24
    | ~ spl31_381 ),
    inference(avatar_component_clause,[],[f4949]) ).

fof(f4952,plain,
    ( spl31_381
    | ~ spl31_12
    | ~ spl31_68
    | ~ spl31_86
    | spl31_145
    | ~ spl31_298 ),
    inference(avatar_split_clause,[],[f4946,f3473,f1177,f694,f485,f125,f4949]) ).

fof(f4970,plain,
    ( sF24 = select(sF7,i7)
    | i3 = i7
    | ~ spl31_14
    | ~ spl31_299 ),
    inference(superposition,[],[f3480,f376]) ).

fof(f4971,plain,
    ( sF24 = select(sF7,i7)
    | i3 = i7
    | ~ spl31_14
    | ~ spl31_299 ),
    inference(superposition,[],[f376,f3480]) ).

fof(f4972,plain,
    ( sF24 = select(sF7,i7)
    | ~ spl31_14
    | spl31_145
    | ~ spl31_299 ),
    inference(forward_subsumption_resolution,[],[f4971,f1178]) ).

fof(f4973,plain,
    ( sF24 = select(sF7,i7)
    | ~ spl31_14
    | spl31_145
    | ~ spl31_299 ),
    inference(forward_subsumption_resolution,[],[f4970,f1178]) ).

fof(f4975,plain,
    ( sF24 = select(sF7,i2)
    | ~ spl31_14
    | ~ spl31_68
    | spl31_145
    | ~ spl31_299 ),
    inference(forward_demodulation,[],[f4973,f487]) ).

fof(f4977,plain,
    ( sF6 = sF24
    | ~ spl31_14
    | ~ spl31_68
    | ~ spl31_85
    | spl31_145
    | ~ spl31_299 ),
    inference(forward_demodulation,[],[f4975,f691]) ).

fof(f4979,plain,
    ( sF4 = sF6
    | ~ spl31_14
    | ~ spl31_68
    | ~ spl31_85
    | spl31_145
    | ~ spl31_299
    | ~ spl31_381 ),
    inference(forward_demodulation,[],[f4977,f4951]) ).

fof(f4982,plain,
    ( $false
    | ~ spl31_14
    | ~ spl31_68
    | ~ spl31_85
    | spl31_123
    | spl31_145
    | ~ spl31_299
    | ~ spl31_381 ),
    inference(forward_subsumption_resolution,[],[f4979,f1008]) ).

fof(f4983,plain,
    ( ~ spl31_14
    | ~ spl31_68
    | ~ spl31_85
    | spl31_123
    | spl31_145
    | ~ spl31_299
    | ~ spl31_381 ),
    inference(avatar_contradiction_clause,[],[f4982]) ).

fof(f4984,plain,
    ( i2 != i7
    | i3 != i7
    | i2 = i3 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4995,plain,
    ( i3 != i7
    | sF24 != select(sF19,i7)
    | sF24 != select(sF17,i7)
    | sF8 != select(sF17,i3)
    | sF8 = select(sF19,i3) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4997,plain,
    ( i3 != i7
    | sF24 != select(sF17,i7)
    | sF8 != select(sF17,i3)
    | sF8 = sF24 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f4998,plain,
    ( i2 != i3
    | sF6 != select(sF7,i2)
    | sF4 != select(sF5,i2)
    | select(sF7,i3) != sF8
    | sF8 != sF10
    | select(sF5,i3) != sF10
    | sF4 = sF6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5001,plain,
    ( i2 != i3
    | i3 != i6
    | i2 = i6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5009,plain,
    ( i3 != i6
    | sF8 != select(sF17,i3)
    | select(sF19,i6) != sF20
    | select(sF17,i6) != sF22
    | sF20 != sF22
    | sF8 = select(sF19,i3) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5014,plain,
    ( i2 != i3
    | i3 != i7
    | i2 = i7 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5026,plain,
    ( i2 != i7
    | i4 != i7
    | i2 = i4 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5037,plain,
    ( i2 != i3
    | sF4 != select(sF5,i2)
    | select(sF5,i3) != sF10
    | sF6 != select(sF7,i2)
    | sF10 != select(sF11,i2)
    | sF8 != select(sF11,i2)
    | select(sF7,i3) != sF8
    | sF4 = sF6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5043,plain,
    ( sF24 != select(sF11,i2)
    | sF8 != sF24
    | sF8 = select(sF11,i2) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5058,plain,
    ( spl31_123
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86 ),
    inference(avatar_split_clause,[],[f4410,f694,f689,f485,f441,f397,f353,f318,f236,f205,f195,f185,f175,f165,f155,f145,f135,f125,f1007]) ).

fof(f5067,definition,
    ( spl31_384
  <=> sF20 = select(sF7,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_384])],[avatar_definition]) ).

fof(f5070,plain,
    ( spl31_384
    | ~ spl31_14
    | spl31_143
    | ~ spl31_352 ),
    inference(avatar_split_clause,[],[f4848,f4340,f1155,f135,f5067]) ).

fof(f5072,definition,
    ( spl31_385
  <=> sF20 = select(sF5,i6) ),
    introduced(definition,[new_symbols(definition,[spl31_385])],[avatar_definition]) ).

fof(f5075,plain,
    ( spl31_385
    | ~ spl31_12
    | spl31_143
    | ~ spl31_353 ),
    inference(avatar_split_clause,[],[f4865,f4346,f1155,f125,f5072]) ).

fof(f5095,definition,
    ( spl31_386
  <=> sF24 = select(sF5,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_386])],[avatar_definition]) ).

fof(f5098,plain,
    ( spl31_386
    | ~ spl31_12
    | spl31_145
    | ~ spl31_298 ),
    inference(avatar_split_clause,[],[f4942,f3473,f1177,f125,f5095]) ).

fof(f5100,definition,
    ( spl31_387
  <=> sF24 = select(sF7,i7) ),
    introduced(definition,[new_symbols(definition,[spl31_387])],[avatar_definition]) ).

fof(f5103,plain,
    ( spl31_387
    | ~ spl31_14
    | spl31_145
    | ~ spl31_299 ),
    inference(avatar_split_clause,[],[f4972,f3478,f1177,f135,f5100]) ).

fof(f5144,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i2
    | i1 = i3
    | i1 = i4
    | i1 = i5
    | i1 = i6
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136 ),
    inference(superposition,[],[f4454,f1090]) ).

fof(f5145,plain,
    ( sF30 = select(sF1,sF28)
    | i2 = sF28
    | i3 = sF28
    | i4 = sF28
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_140 ),
    inference(superposition,[],[f4454,f1120]) ).

fof(f5150,plain,
    ( sF30 = select(sF1,sF28)
    | i3 = sF28
    | i4 = sF28
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140 ),
    inference(forward_subsumption_resolution,[],[f5145,f1025]) ).

fof(f5151,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i3
    | i1 = i4
    | i1 = i5
    | i1 = i6
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | spl31_188 ),
    inference(forward_subsumption_resolution,[],[f5144,f1613]) ).

fof(f5154,plain,
    ( sF30 = select(sF1,sF28)
    | i4 = sF28
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | spl31_194 ),
    inference(forward_subsumption_resolution,[],[f5150,f1665]) ).

fof(f5155,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i3
    | i1 = i4
    | i1 = i6
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | spl31_188
    | spl31_277 ),
    inference(forward_subsumption_resolution,[],[f5151,f3162]) ).

fof(f5158,plain,
    ( sF30 = select(sF1,sF28)
    | i5 = sF28
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_359 ),
    inference(forward_subsumption_resolution,[],[f5154,f4491]) ).

fof(f5159,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i3
    | i1 = i4
    | i1 = i7
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | spl31_188
    | spl31_277
    | spl31_324 ),
    inference(forward_subsumption_resolution,[],[f5155,f3957]) ).

fof(f5162,plain,
    ( sF30 = select(sF1,sF28)
    | i6 = sF28
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_266
    | spl31_359 ),
    inference(forward_subsumption_resolution,[],[f5158,f2804]) ).

fof(f5163,plain,
    ( sF2 = select(sF1,i1)
    | i1 = i3
    | i1 = i4
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | spl31_186
    | spl31_188
    | spl31_277
    | spl31_324 ),
    inference(forward_subsumption_resolution,[],[f5159,f1605]) ).

fof(f5166,plain,
    ( sF30 = select(sF1,sF28)
    | i7 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_266
    | spl31_325
    | spl31_359 ),
    inference(forward_subsumption_resolution,[],[f5162,f3964]) ).

fof(f5167,plain,
    ( sF0 = sF2
    | i1 = i3
    | i1 = i4
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_277
    | spl31_324 ),
    inference(forward_demodulation,[],[f5163,f1095]) ).

fof(f5169,plain,
    ( sF30 = select(sF1,sF28)
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_201
    | spl31_266
    | spl31_325
    | spl31_359 ),
    inference(forward_subsumption_resolution,[],[f5166,f1732]) ).

fof(f5171,plain,
    ( sF29 = sF30
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_201
    | spl31_266
    | spl31_325
    | spl31_359 ),
    inference(forward_demodulation,[],[f5169,f251]) ).

fof(f5174,plain,
    ( $false
    | spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_201
    | spl31_266
    | spl31_325
    | spl31_359 ),
    inference(forward_subsumption_resolution,[],[f5171,f72]) ).

fof(f5175,plain,
    ( spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_201
    | spl31_266
    | spl31_325
    | spl31_359 ),
    inference(avatar_contradiction_clause,[],[f5174]) ).

fof(f5253,plain,
    ( sF20 = select(sF3,sF28)
    | i2 = sF28
    | ~ spl31_10
    | ~ spl31_378 ),
    inference(superposition,[],[f339,f4856]) ).

fof(f5254,plain,
    ( sF20 = select(sF3,sF28)
    | ~ spl31_10
    | spl31_125
    | ~ spl31_378 ),
    inference(forward_subsumption_resolution,[],[f5253,f1025]) ).

fof(f5257,definition,
    ( spl31_389
  <=> sF20 = select(sF3,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_389])],[avatar_definition]) ).

fof(f5260,plain,
    ( spl31_389
    | ~ spl31_10
    | spl31_125
    | ~ spl31_378 ),
    inference(avatar_split_clause,[],[f5254,f4854,f1024,f115,f5257]) ).

fof(f5265,plain,
    ( sF20 = select(sF1,sF28)
    | i2 = sF28
    | ~ spl31_8
    | ~ spl31_379 ),
    inference(superposition,[],[f314,f4873]) ).

fof(f5266,plain,
    ( sF20 = select(sF1,sF28)
    | ~ spl31_8
    | spl31_125
    | ~ spl31_379 ),
    inference(forward_subsumption_resolution,[],[f5265,f1025]) ).

fof(f5269,definition,
    ( spl31_390
  <=> sF20 = select(sF1,sF28) ),
    introduced(definition,[new_symbols(definition,[spl31_390])],[avatar_definition]) ).

fof(f5272,plain,
    ( spl31_390
    | ~ spl31_8
    | spl31_125
    | ~ spl31_379 ),
    inference(avatar_split_clause,[],[f5266,f4871,f1024,f105,f5269]) ).

fof(f5273,plain,
    ( sF29 != select(sF1,sF28)
    | sF30 != select(sF3,sF28)
    | sF20 != select(sF1,sF28)
    | sF20 != select(sF3,sF28)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5274,plain,
    ( i4 != i6
    | sF20 != sF22
    | sF22 != select(sF13,i6)
    | sF12 != select(sF13,i4)
    | select(sF11,i4) != sF12
    | sF20 = select(sF11,i6) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5275,plain,
    ( i4 != i6
    | sF20 != sF22
    | sF22 != select(sF13,i6)
    | sF12 != select(sF13,i4)
    | sF12 != sF14
    | select(sF9,i4) != sF14
    | sF20 = select(sF9,i6) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5276,plain,
    ( i4 != i6
    | i6 != sF28
    | i4 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5279,plain,
    ( i3 != i6
    | i6 != sF28
    | i3 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5282,plain,
    ( i3 != i6
    | i6 != sF28
    | select(sF5,i3) != sF10
    | sF10 != select(sF11,i3)
    | sF20 != select(sF11,sF28)
    | sF20 = select(sF5,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5288,plain,
    ( i2 != i4
    | i4 != sF28
    | i2 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5305,plain,
    ( i3 != i5
    | sF10 != select(sF11,i3)
    | sF16 != select(sF11,i5)
    | sF16 != sF18
    | sF18 != select(sF9,i5)
    | sF8 != select(sF9,i3)
    | sF8 = sF10 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5308,plain,
    ( i3 != i5
    | i5 != sF28
    | i3 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5315,plain,
    ( i3 != i5
    | sF16 != sF18
    | sF18 != select(sF9,i5)
    | sF8 != select(sF9,i3)
    | select(sF7,i3) != sF8
    | sF16 = select(sF7,i5) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5316,plain,
    ( i3 != i5
    | select(sF5,i3) != sF10
    | sF10 != select(sF11,i3)
    | sF16 != select(sF11,i5)
    | sF16 = select(sF5,i5) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5322,plain,
    ( i2 != i6
    | sF4 != select(sF5,i2)
    | sF6 != select(sF7,i2)
    | sF20 != select(sF5,i6)
    | sF20 != select(sF7,i6)
    | sF4 = sF6 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5324,plain,
    ( i3 != sF28
    | i3 != i7
    | sF10 != select(sF11,i3)
    | sF8 != select(sF19,i3)
    | sF24 != select(sF11,sF28)
    | sF24 != select(sF19,i7)
    | sF8 = sF10 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5331,plain,
    ( i2 != i6
    | i3 != i6
    | i2 = i3 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5342,plain,
    ( i3 != sF28
    | i3 != i6
    | i6 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5343,plain,
    ( i3 != sF28
    | i3 != i6
    | select(sF19,i6) != sF20
    | sF8 != select(sF19,i3)
    | select(sF7,i3) != sF8
    | sF20 = select(sF7,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5345,plain,
    ( i1 != sF28
    | select(a1,sF28) != sF29
    | select(a2,sF28) != sF30
    | select(a1,i1) != sF2
    | select(a2,i1) != sF0
    | sF2 != select(sF3,sF28)
    | sF0 != select(sF1,sF28)
    | sF24 != select(sF3,sF28)
    | sF24 != select(sF1,sF28)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5348,plain,
    ( i1 != sF28
    | select(a2,sF28) != sF30
    | select(a2,i1) != sF0
    | sF0 != select(sF1,sF28)
    | sF24 != select(sF1,sF28)
    | sF24 != select(sF3,sF28)
    | sF30 = select(sF3,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5350,plain,
    ( i2 != i6
    | i2 != i3
    | sF8 != select(sF19,i3)
    | select(sF19,i6) != sF20
    | sF20 != select(sF11,i6)
    | sF8 = select(sF11,i2) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5358,plain,
    ( i1 != sF28
    | i5 != sF28
    | i1 = i5 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5362,plain,
    ( i4 != i7
    | i1 != i7
    | i1 != sF28
    | i4 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5383,plain,
    ( i1 = i3
    | i1 = i4
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_277
    | spl31_324 ),
    inference(forward_subsumption_resolution,[],[f5167,f298]) ).

fof(f5403,plain,
    ( i3 = sF28
    | i1 = i4
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_35
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_277
    | spl31_324 ),
    inference(forward_demodulation,[],[f5383,f247]) ).

fof(f5407,plain,
    ( i1 = i4
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_35
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_194
    | spl31_277
    | spl31_324 ),
    inference(forward_subsumption_resolution,[],[f5403,f1665]) ).

fof(f5409,plain,
    ( i4 = sF28
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_35
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_194
    | spl31_277
    | spl31_324 ),
    inference(forward_demodulation,[],[f5407,f247]) ).

fof(f5412,plain,
    ( $false
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_35
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_194
    | spl31_277
    | spl31_324
    | spl31_359 ),
    inference(forward_subsumption_resolution,[],[f5409,f4491]) ).

fof(f5413,plain,
    ( ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_35
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_194
    | spl31_277
    | spl31_324
    | spl31_359 ),
    inference(avatar_contradiction_clause,[],[f5412]) ).

fof(f5414,plain,
    ( i1 != i6
    | i1 != sF28
    | i6 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5418,plain,
    ( i1 != sF28
    | select(a1,sF28) != sF29
    | select(a1,i1) != sF2
    | sF2 != select(sF3,sF28)
    | sF20 != select(sF3,sF28)
    | sF20 != select(sF1,sF28)
    | sF29 = select(sF1,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5421,plain,
    ( i1 != sF28
    | select(a2,sF28) != sF30
    | select(a2,i1) != sF0
    | sF0 != select(sF1,sF28)
    | sF20 != select(sF1,sF28)
    | sF20 != select(sF3,sF28)
    | sF30 = select(sF3,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5424,plain,
    ( i1 != sF28
    | select(a1,sF28) != sF29
    | select(a1,i1) != sF2
    | sF2 != select(sF3,sF28)
    | sF0 != select(sF1,sF28)
    | sF12 != select(sF3,sF28)
    | sF12 != select(sF1,sF28)
    | sF0 = sF29 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5427,plain,
    ( i1 != i7
    | i1 != sF28
    | i7 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5428,plain,
    ( i1 != i7
    | i1 != sF28
    | sF24 != select(sF13,i7)
    | sF24 = select(sF13,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5431,plain,
    ( i1 != i7
    | i1 != sF28
    | sF24 != select(sF5,i7)
    | sF24 = select(sF5,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5432,plain,
    ( i1 != i7
    | i1 != sF28
    | sF24 != select(sF7,i7)
    | sF24 = select(sF7,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5441,plain,
    ( i2 != i5
    | i1 != i5
    | i1 = i2 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5442,plain,
    ( i1 != i5
    | i1 != sF28
    | i5 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5459,plain,
    ( i2 != sF28
    | i1 != sF28
    | select(a2,sF28) != sF30
    | select(a2,i1) != sF0
    | sF0 != select(sF1,sF28)
    | select(sF1,i2) != sF6
    | sF4 != sF6
    | select(sF3,i2) != sF4
    | sF30 = select(sF3,sF28) ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5469,plain,
    ( i3 != sF28
    | sF30 != select(sF3,sF28)
    | sF29 != select(sF1,sF28)
    | sF8 != select(sF3,i3)
    | sF8 != sF10
    | sF10 != select(sF1,i3)
    | sF29 = sF30 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5470,plain,
    ( i3 != i7
    | sF8 != select(sF19,i3)
    | sF10 != select(sF11,i3)
    | sF24 != select(sF19,i7)
    | sF24 != select(sF11,i7)
    | sF8 = sF10 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5471,plain,
    ( i3 != i7
    | i3 != sF28
    | i7 = sF28 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5476,plain,
    ( i1 != i3
    | i1 != sF28
    | select(a1,sF28) != sF29
    | select(a1,i1) != sF2
    | sF2 != select(sF3,sF28)
    | sF0 != select(sF1,sF28)
    | sF8 != select(sF3,i3)
    | sF8 != sF10
    | sF10 != select(sF1,i3)
    | sF0 = sF29 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

fof(f5477,plain,
    ( i1 != i3
    | i1 != sF28
    | sF2 != select(sF3,sF28)
    | sF0 != select(sF1,sF28)
    | sF8 != select(sF3,i3)
    | sF8 != sF10
    | sF10 != select(sF1,i3)
    | sF0 = sF2 ),
    introduced(definition,[],[theory_tautology_sat_conflict]) ).

cnf(s1,plain,
    ~ spl31_1,
    inference(sat_conversion,[],[f73]) ).

cnf(s2,plain,
    spl31_2,
    inference(sat_conversion,[],[f78]) ).

cnf(s3,plain,
    spl31_3,
    inference(sat_conversion,[],[f83]) ).

cnf(s4,plain,
    spl31_4,
    inference(sat_conversion,[],[f88]) ).

cnf(s5,plain,
    spl31_5,
    inference(sat_conversion,[],[f93]) ).

cnf(s6,plain,
    spl31_6,
    inference(sat_conversion,[],[f98]) ).

cnf(s7,plain,
    spl31_7,
    inference(sat_conversion,[],[f103]) ).

cnf(s8,plain,
    spl31_8,
    inference(sat_conversion,[],[f108]) ).

cnf(s9,plain,
    spl31_9,
    inference(sat_conversion,[],[f113]) ).

cnf(s10,plain,
    spl31_10,
    inference(sat_conversion,[],[f118]) ).

cnf(s11,plain,
    spl31_11,
    inference(sat_conversion,[],[f123]) ).

cnf(s12,plain,
    spl31_12,
    inference(sat_conversion,[],[f128]) ).

cnf(s13,plain,
    spl31_13,
    inference(sat_conversion,[],[f133]) ).

cnf(s14,plain,
    spl31_14,
    inference(sat_conversion,[],[f138]) ).

cnf(s15,plain,
    spl31_15,
    inference(sat_conversion,[],[f143]) ).

cnf(s16,plain,
    spl31_16,
    inference(sat_conversion,[],[f148]) ).

cnf(s17,plain,
    spl31_17,
    inference(sat_conversion,[],[f153]) ).

cnf(s18,plain,
    spl31_18,
    inference(sat_conversion,[],[f158]) ).

cnf(s19,plain,
    spl31_19,
    inference(sat_conversion,[],[f163]) ).

cnf(s20,plain,
    spl31_20,
    inference(sat_conversion,[],[f168]) ).

cnf(s21,plain,
    spl31_21,
    inference(sat_conversion,[],[f173]) ).

cnf(s22,plain,
    spl31_22,
    inference(sat_conversion,[],[f178]) ).

cnf(s23,plain,
    spl31_23,
    inference(sat_conversion,[],[f183]) ).

cnf(s24,plain,
    spl31_24,
    inference(sat_conversion,[],[f188]) ).

cnf(s25,plain,
    spl31_25,
    inference(sat_conversion,[],[f193]) ).

cnf(s26,plain,
    spl31_26,
    inference(sat_conversion,[],[f198]) ).

cnf(s27,plain,
    spl31_27,
    inference(sat_conversion,[],[f203]) ).

cnf(s28,plain,
    spl31_28,
    inference(sat_conversion,[],[f208]) ).

cnf(s29,plain,
    spl31_29,
    inference(sat_conversion,[],[f213]) ).

cnf(s30,plain,
    spl31_30,
    inference(sat_conversion,[],[f218]) ).

cnf(s32,plain,
    spl31_32,
    inference(sat_conversion,[],[f228]) ).

cnf(s33,plain,
    spl31_33,
    inference(sat_conversion,[],[f233]) ).

cnf(s34,plain,
    ( ~ spl31_2
    | ~ spl31_30
    | spl31_34 ),
    inference(sat_conversion,[],[f239]) ).

cnf(s36,plain,
    ( ~ spl31_4
    | ~ spl31_32
    | spl31_35
    | spl31_36 ),
    inference(sat_conversion,[],[f253]) ).

cnf(s37,plain,
    ( ~ spl31_3
    | ~ spl31_35
    | spl31_37 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s38,plain,
    ( ~ spl31_5
    | ~ spl31_35
    | spl31_38 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s40,plain,
    ( ~ spl31_33
    | ~ spl31_37
    | spl31_40 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s42,plain,
    ( spl31_1
    | ~ spl31_40
    | ~ spl31_41 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s43,plain,
    ( ~ spl31_32
    | ~ spl31_38
    | spl31_42 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s45,plain,
    ( spl31_41
    | ~ spl31_42
    | ~ spl31_43 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s48,plain,
    ( ~ spl31_8
    | ~ spl31_13
    | spl31_45
    | spl31_46 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s49,plain,
    ( ~ spl31_11
    | ~ spl31_45
    | spl31_47 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s55,plain,
    ( ~ spl31_17
    | ~ spl31_50
    | spl31_53 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s87,plain,
    ( ~ spl31_10
    | spl31_85 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s88,plain,
    ( ~ spl31_8
    | spl31_86 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s99,plain,
    ( ~ spl31_14
    | ~ spl31_45
    | spl31_83 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s100,plain,
    ( ~ spl31_12
    | ~ spl31_45
    | spl31_84 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s101,plain,
    ( ~ spl31_6
    | ~ spl31_35
    | spl31_87 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s102,plain,
    ( ~ spl31_4
    | ~ spl31_35
    | spl31_88 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s103,plain,
    ( ~ spl31_47
    | ~ spl31_85
    | spl31_89 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s167,plain,
    ( ~ spl31_53
    | ~ spl31_84
    | ~ spl31_89
    | spl31_121 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s171,plain,
    ( ~ spl31_117
    | ~ spl31_119
    | ~ spl31_121
    | spl31_123 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s179,plain,
    ( ~ spl31_34
    | spl31_126 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s180,plain,
    ( ~ spl31_28
    | spl31_127 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s181,plain,
    ( ~ spl31_26
    | spl31_128 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s182,plain,
    ( ~ spl31_24
    | spl31_129 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s183,plain,
    ( ~ spl31_22
    | spl31_130 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s184,plain,
    ( ~ spl31_20
    | spl31_131 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s185,plain,
    ( ~ spl31_18
    | spl31_132 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s186,plain,
    ( ~ spl31_16
    | spl31_133 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s187,plain,
    ( ~ spl31_14
    | spl31_134 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s188,plain,
    ( ~ spl31_12
    | spl31_135 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s189,plain,
    ( ~ spl31_6
    | spl31_136 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s190,plain,
    ( ~ spl31_4
    | spl31_137 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s193,plain,
    ( ~ spl31_10
    | ~ spl31_11
    | spl31_45
    | spl31_138 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s195,plain,
    ( spl31_93
    | ~ spl31_126
    | ~ spl31_127 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s198,plain,
    ( ~ spl31_6
    | ~ spl31_33
    | spl31_35
    | spl31_140 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s201,plain,
    ( ~ spl31_12
    | ~ spl31_17
    | spl31_51
    | spl31_141 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s203,plain,
    ( ~ spl31_16
    | ~ spl31_21
    | spl31_57
    | ~ spl31_141
    | spl31_142 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s205,plain,
    ( ~ spl31_20
    | ~ spl31_25
    | spl31_63
    | ~ spl31_142
    | spl31_143 ),
    inference(sat_conversion,[],[f1159]) ).

cnf(s221,plain,
    ( ~ spl31_15
    | ~ spl31_134
    | ~ spl31_141
    | spl31_149 ),
    inference(sat_conversion,[],[f1296]) ).

cnf(s222,plain,
    ( ~ spl31_17
    | ~ spl31_135
    | ~ spl31_141
    | spl31_150 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s238,plain,
    ( ~ spl31_23
    | ~ spl31_25
    | ~ spl31_101
    | spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s254,plain,
    ( ~ spl31_117
    | ~ spl31_150
    | spl31_167 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s272,plain,
    ( ~ spl31_132
    | ~ spl31_141
    | ~ spl31_150
    | spl31_184 ),
    inference(sat_conversion,[],[f1586]) ).

cnf(s276,plain,
    ( ~ spl31_7
    | ~ spl31_9
    | spl31_43
    | ~ spl31_123
    | ~ spl31_136
    | ~ spl31_137
    | ~ spl31_188 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s285,plain,
    ( spl31_1
    | ~ spl31_15
    | ~ spl31_17
    | ~ spl31_36
    | ~ spl31_46
    | ~ spl31_109
    | ~ spl31_111
    | ~ spl31_113
    | ~ spl31_134
    | ~ spl31_135
    | ~ spl31_138
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_194 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s286,plain,
    ( spl31_1
    | ~ spl31_7
    | ~ spl31_9
    | ~ spl31_36
    | ~ spl31_123
    | ~ spl31_125
    | ~ spl31_140 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s313,plain,
    ( ~ spl31_28
    | ~ spl31_34
    | spl31_101
    | ~ spl31_128
    | ~ spl31_129
    | spl31_195 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s316,plain,
    ( ~ spl31_22
    | ~ spl31_23
    | spl31_196
    | spl31_197 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s318,plain,
    ( ~ spl31_24
    | ~ spl31_29
    | ~ spl31_93
    | spl31_144
    | spl31_195 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s320,plain,
    ( ~ spl31_26
    | ~ spl31_27
    | spl31_146
    | spl31_195 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s322,plain,
    ( ~ spl31_18
    | ~ spl31_19
    | spl31_198
    | spl31_199 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s324,plain,
    ( ~ spl31_20
    | ~ spl31_25
    | spl31_63
    | spl31_196 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s326,plain,
    ( ~ spl31_16
    | ~ spl31_21
    | spl31_57
    | spl31_198 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s330,plain,
    ( ~ spl31_45
    | ~ spl31_125
    | spl31_194 ),
    inference(sat_conversion,[],[f1734]) ).

cnf(s333,plain,
    ( ~ spl31_14
    | ~ spl31_15
    | ~ spl31_45
    | spl31_50
    | spl31_202 ),
    inference(sat_conversion,[],[f1741]) ).

cnf(s341,plain,
    ( ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s424,plain,
    ( ~ spl31_149
    | ~ spl31_167
    | spl31_177 ),
    inference(sat_conversion,[],[f1894]) ).

cnf(s448,plain,
    ( spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | ~ spl31_142
    | ~ spl31_143
    | spl31_194
    | spl31_201 ),
    inference(sat_conversion,[],[f2331]) ).

cnf(s456,plain,
    ( ~ spl31_20
    | ~ spl31_142
    | ~ spl31_144
    | spl31_194
    | ~ spl31_201
    | spl31_240 ),
    inference(sat_conversion,[],[f2387]) ).

cnf(s459,plain,
    ( ~ spl31_22
    | ~ spl31_142
    | ~ spl31_146
    | spl31_194
    | ~ spl31_201
    | spl31_242 ),
    inference(sat_conversion,[],[f2408]) ).

cnf(s464,plain,
    ( ~ spl31_16
    | ~ spl31_141
    | spl31_194
    | ~ spl31_240
    | spl31_245 ),
    inference(sat_conversion,[],[f2497]) ).

cnf(s466,plain,
    ( ~ spl31_18
    | ~ spl31_141
    | spl31_194
    | ~ spl31_242
    | spl31_246 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s474,plain,
    ( ~ spl31_12
    | spl31_194
    | ~ spl31_245
    | spl31_252 ),
    inference(sat_conversion,[],[f2598]) ).

cnf(s476,plain,
    ( ~ spl31_14
    | spl31_194
    | ~ spl31_246
    | spl31_253 ),
    inference(sat_conversion,[],[f2609]) ).

cnf(s483,plain,
    ( ~ spl31_8
    | spl31_125
    | ~ spl31_252
    | spl31_259 ),
    inference(sat_conversion,[],[f2661]) ).

cnf(s485,plain,
    ( ~ spl31_10
    | spl31_125
    | ~ spl31_253
    | spl31_260 ),
    inference(sat_conversion,[],[f2672]) ).

cnf(s487,plain,
    ( spl31_1
    | ~ spl31_36
    | ~ spl31_140
    | ~ spl31_259
    | ~ spl31_260 ),
    inference(sat_conversion,[],[f2673]) ).

cnf(s488,plain,
    ( spl31_1
    | ~ spl31_5
    | ~ spl31_32
    | ~ spl31_35
    | ~ spl31_87
    | ~ spl31_140 ),
    inference(sat_conversion,[],[f2674]) ).

cnf(s492,plain,
    ( ~ spl31_45
    | spl31_50
    | ~ spl31_141 ),
    inference(sat_conversion,[],[f2678]) ).

cnf(s494,plain,
    ( ~ spl31_145
    | spl31_194
    | ~ spl31_201 ),
    inference(sat_conversion,[],[f2680]) ).

cnf(s495,plain,
    ( ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_125
    | ~ spl31_252
    | ~ spl31_253 ),
    inference(sat_conversion,[],[f2681]) ).

cnf(s508,plain,
    ( ~ spl31_68
    | ~ spl31_125
    | spl31_201 ),
    inference(sat_conversion,[],[f2694]) ).

cnf(s513,plain,
    ( ~ spl31_45
    | spl31_125
    | ~ spl31_194 ),
    inference(sat_conversion,[],[f2699]) ).

cnf(s515,plain,
    ( spl31_45
    | ~ spl31_125
    | ~ spl31_194 ),
    inference(sat_conversion,[],[f2701]) ).

cnf(s521,plain,
    ( spl31_56
    | ~ spl31_125
    | ~ spl31_142
    | ~ spl31_194 ),
    inference(sat_conversion,[],[f2707]) ).

cnf(s531,plain,
    ( ~ spl31_35
    | spl31_187
    | ~ spl31_194 ),
    inference(sat_conversion,[],[f2717]) ).

cnf(s535,plain,
    ( ~ spl31_27
    | ~ spl31_29
    | ~ spl31_93
    | spl31_101
    | ~ spl31_128
    | ~ spl31_129
    | ~ spl31_195 ),
    inference(sat_conversion,[],[f2721]) ).

cnf(s539,plain,
    ( ~ spl31_25
    | ~ spl31_27
    | ~ spl31_128
    | spl31_144
    | ~ spl31_195 ),
    inference(sat_conversion,[],[f2725]) ).

cnf(s540,plain,
    ( ~ spl31_23
    | ~ spl31_29
    | ~ spl31_93
    | ~ spl31_129
    | spl31_146
    | ~ spl31_195 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s541,plain,
    ( ~ spl31_25
    | spl31_105
    | ~ spl31_131
    | ~ spl31_196 ),
    inference(sat_conversion,[],[f2727]) ).

cnf(s543,plain,
    ( ~ spl31_23
    | ~ spl31_25
    | ~ spl31_101
    | spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | ~ spl31_196 ),
    inference(sat_conversion,[],[f2729]) ).

cnf(s544,plain,
    ( spl31_145
    | ~ spl31_194
    | ~ spl31_201 ),
    inference(sat_conversion,[],[f2745]) ).

cnf(s547,plain,
    ( ~ spl31_57
    | ~ spl31_109
    | spl31_262 ),
    inference(sat_conversion,[],[f2777]) ).

cnf(s553,plain,
    ( ~ spl31_20
    | ~ spl31_144
    | ~ spl31_201
    | spl31_240
    | spl31_266 ),
    inference(sat_conversion,[],[f2806]) ).

cnf(s555,plain,
    ( ~ spl31_22
    | ~ spl31_146
    | ~ spl31_201
    | spl31_242
    | spl31_266 ),
    inference(sat_conversion,[],[f2807]) ).

cnf(s573,plain,
    ( ~ spl31_20
    | ~ spl31_144
    | spl31_269
    | spl31_270 ),
    inference(sat_conversion,[],[f2840]) ).

cnf(s575,plain,
    ( ~ spl31_22
    | ~ spl31_146
    | spl31_269
    | spl31_271 ),
    inference(sat_conversion,[],[f2846]) ).

cnf(s582,plain,
    ( ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_141
    | spl31_142
    | spl31_145
    | ~ spl31_149
    | ~ spl31_150
    | spl31_177
    | ~ spl31_196 ),
    inference(sat_conversion,[],[f2902]) ).

cnf(s583,plain,
    ( ~ spl31_15
    | ~ spl31_17
    | spl31_117
    | ~ spl31_134
    | ~ spl31_135
    | ~ spl31_141
    | ~ spl31_177 ),
    inference(sat_conversion,[],[f2903]) ).

cnf(s587,plain,
    ( ~ spl31_117
    | ~ spl31_132
    | ~ spl31_141
    | spl31_167
    | ~ spl31_184 ),
    inference(sat_conversion,[],[f2911]) ).

cnf(s685,plain,
    ( ~ spl31_14
    | spl31_142
    | ~ spl31_199
    | ~ spl31_266
    | spl31_287 ),
    inference(sat_conversion,[],[f3273]) ).

cnf(s688,plain,
    ( ~ spl31_12
    | spl31_142
    | ~ spl31_262
    | ~ spl31_266
    | spl31_289 ),
    inference(sat_conversion,[],[f3290]) ).

cnf(s693,plain,
    ( ~ spl31_20
    | spl31_142
    | spl31_183
    | ~ spl31_185 ),
    inference(sat_conversion,[],[f3314]) ).

cnf(s698,plain,
    ( ~ spl31_18
    | spl31_50
    | ~ spl31_68
    | spl31_258
    | ~ spl31_271 ),
    inference(sat_conversion,[],[f3366]) ).

cnf(s700,plain,
    ( ~ spl31_10
    | spl31_125
    | ~ spl31_287
    | spl31_291 ),
    inference(sat_conversion,[],[f3385]) ).

cnf(s702,plain,
    ( ~ spl31_8
    | spl31_125
    | ~ spl31_289
    | spl31_292 ),
    inference(sat_conversion,[],[f3396]) ).

cnf(s704,plain,
    ( spl31_1
    | ~ spl31_36
    | ~ spl31_140
    | ~ spl31_291
    | ~ spl31_292 ),
    inference(sat_conversion,[],[f3397]) ).

cnf(s707,plain,
    ( ~ spl31_141
    | spl31_142
    | ~ spl31_198 ),
    inference(sat_conversion,[],[f3400]) ).

cnf(s708,plain,
    ( ~ spl31_141
    | spl31_143
    | ~ spl31_196
    | ~ spl31_198 ),
    inference(sat_conversion,[],[f3401]) ).

cnf(s710,plain,
    ( ~ spl31_141
    | spl31_194
    | ~ spl31_198
    | ~ spl31_266 ),
    inference(sat_conversion,[],[f3403]) ).

cnf(s725,plain,
    ( ~ spl31_14
    | spl31_142
    | ~ spl31_199
    | spl31_293 ),
    inference(sat_conversion,[],[f3424]) ).

cnf(s727,plain,
    ( ~ spl31_12
    | spl31_142
    | ~ spl31_262
    | spl31_294 ),
    inference(sat_conversion,[],[f3429]) ).

cnf(s734,plain,
    ( ~ spl31_16
    | ~ spl31_141
    | spl31_145
    | ~ spl31_270
    | spl31_298 ),
    inference(sat_conversion,[],[f3476]) ).

cnf(s736,plain,
    ( ~ spl31_18
    | ~ spl31_141
    | spl31_145
    | ~ spl31_271
    | spl31_299 ),
    inference(sat_conversion,[],[f3481]) ).

cnf(s738,plain,
    ( ~ spl31_17
    | ~ spl31_19
    | spl31_57
    | ~ spl31_109
    | ~ spl31_132
    | ~ spl31_198 ),
    inference(sat_conversion,[],[f3482]) ).

cnf(s739,plain,
    ( ~ spl31_19
    | spl31_111
    | ~ spl31_132
    | ~ spl31_198 ),
    inference(sat_conversion,[],[f3483]) ).

cnf(s740,plain,
    ( ~ spl31_21
    | spl31_113
    | ~ spl31_133
    | ~ spl31_198 ),
    inference(sat_conversion,[],[f3484]) ).

cnf(s742,plain,
    ( ~ spl31_19
    | ~ spl31_21
    | ~ spl31_109
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_198 ),
    inference(sat_conversion,[],[f3486]) ).

cnf(s743,plain,
    ( ~ spl31_15
    | ~ spl31_21
    | ~ spl31_109
    | ~ spl31_133
    | ~ spl31_198
    | spl31_199 ),
    inference(sat_conversion,[],[f3487]) ).

cnf(s744,plain,
    ( ~ spl31_17
    | ~ spl31_19
    | ~ spl31_132
    | ~ spl31_198
    | spl31_262 ),
    inference(sat_conversion,[],[f3488]) ).

cnf(s758,plain,
    ( ~ spl31_131
    | ~ spl31_142
    | spl31_301 ),
    inference(sat_conversion,[],[f3519]) ).

cnf(s776,plain,
    ( ~ spl31_63
    | ~ spl31_101
    | spl31_305 ),
    inference(sat_conversion,[],[f3572]) ).

cnf(s795,plain,
    ( spl31_109
    | ~ spl31_130
    | ~ spl31_142
    | ~ spl31_214 ),
    inference(sat_conversion,[],[f3654]) ).

cnf(s802,plain,
    ( ~ spl31_131
    | ~ spl31_142
    | ~ spl31_144
    | ~ spl31_145
    | ~ spl31_146
    | spl31_214 ),
    inference(sat_conversion,[],[f3661]) ).

cnf(s803,plain,
    ( ~ spl31_21
    | spl31_63
    | ~ spl31_105
    | ~ spl31_109
    | ~ spl31_196 ),
    inference(sat_conversion,[],[f3662]) ).

cnf(s813,plain,
    ( ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_143
    | spl31_145
    | spl31_214
    | ~ spl31_301 ),
    inference(sat_conversion,[],[f3669]) ).

cnf(s821,plain,
    ( ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | spl31_196
    | spl31_269 ),
    inference(sat_conversion,[],[f3689]) ).

cnf(s823,plain,
    ( ~ spl31_16
    | ~ spl31_270
    | spl31_298
    | spl31_315 ),
    inference(sat_conversion,[],[f3697]) ).

cnf(s825,plain,
    ( ~ spl31_18
    | ~ spl31_271
    | spl31_299
    | spl31_315 ),
    inference(sat_conversion,[],[f3699]) ).

cnf(s826,plain,
    ( ~ spl31_14
    | ~ spl31_15
    | spl31_141
    | spl31_202 ),
    inference(sat_conversion,[],[f3702]) ).

cnf(s829,plain,
    ( spl31_109
    | ~ spl31_130
    | ~ spl31_131
    | ~ spl31_144
    | ~ spl31_146
    | ~ spl31_269 ),
    inference(sat_conversion,[],[f3709]) ).

cnf(s831,plain,
    ( ~ spl31_21
    | ~ spl31_130
    | ~ spl31_146
    | ~ spl31_269
    | spl31_270 ),
    inference(sat_conversion,[],[f3711]) ).

cnf(s832,plain,
    ( ~ spl31_19
    | ~ spl31_131
    | ~ spl31_144
    | ~ spl31_269
    | spl31_271 ),
    inference(sat_conversion,[],[f3712]) ).

cnf(s833,plain,
    ( spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_270
    | ~ spl31_271
    | ~ spl31_315 ),
    inference(sat_conversion,[],[f3713]) ).

cnf(s888,plain,
    ( ~ spl31_141
    | ~ spl31_145
    | spl31_315 ),
    inference(sat_conversion,[],[f3800]) ).

cnf(s894,plain,
    ( ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | spl31_198
    | spl31_315
    | spl31_321 ),
    inference(sat_conversion,[],[f3814]) ).

cnf(s896,plain,
    ( ~ spl31_63
    | ~ spl31_101
    | spl31_117
    | ~ spl31_132
    | ~ spl31_133
    | ~ spl31_197
    | ~ spl31_321 ),
    inference(sat_conversion,[],[f3815]) ).

cnf(s900,plain,
    ( ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_134
    | ~ spl31_135
    | spl31_141
    | spl31_142
    | spl31_143
    | spl31_145
    | spl31_177 ),
    inference(sat_conversion,[],[f3838]) ).

cnf(s999,plain,
    ( ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_141 ),
    inference(sat_conversion,[],[f3925]) ).

cnf(s1004,plain,
    ( ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | ~ spl31_141
    | spl31_186
    | spl31_187
    | spl31_188
    | spl31_277
    | spl31_324 ),
    inference(sat_conversion,[],[f3961]) ).

cnf(s1005,plain,
    ( spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | ~ spl31_141
    | spl31_194
    | spl31_201
    | spl31_266
    | spl31_325 ),
    inference(sat_conversion,[],[f3966]) ).

cnf(s1007,plain,
    ( spl31_1
    | ~ spl31_3
    | ~ spl31_33
    | ~ spl31_36
    | ~ spl31_137
    | ~ spl31_324
    | ~ spl31_325 ),
    inference(sat_conversion,[],[f3967]) ).

cnf(s1042,plain,
    ( ~ spl31_10
    | spl31_56
    | ~ spl31_136
    | ~ spl31_277
    | ~ spl31_293
    | spl31_347 ),
    inference(sat_conversion,[],[f4278]) ).

cnf(s1050,plain,
    ( ~ spl31_8
    | spl31_56
    | ~ spl31_137
    | ~ spl31_277
    | ~ spl31_294
    | spl31_351 ),
    inference(sat_conversion,[],[f4323]) ).

cnf(s1052,plain,
    ( spl31_43
    | ~ spl31_347
    | ~ spl31_351 ),
    inference(sat_conversion,[],[f4324]) ).

cnf(s1058,plain,
    ( ~ spl31_19
    | ~ spl31_101
    | ~ spl31_105
    | ~ spl31_196
    | spl31_197 ),
    inference(sat_conversion,[],[f4330]) ).

cnf(s1063,plain,
    ( ~ spl31_18
    | ~ spl31_197
    | spl31_321
    | spl31_352 ),
    inference(sat_conversion,[],[f4344]) ).

cnf(s1065,plain,
    ( ~ spl31_16
    | ~ spl31_305
    | spl31_321
    | spl31_353 ),
    inference(sat_conversion,[],[f4350]) ).

cnf(s1074,plain,
    ( ~ spl31_51
    | ~ spl31_117
    | spl31_358 ),
    inference(sat_conversion,[],[f4380]) ).

cnf(s1123,plain,
    ( ~ spl31_201
    | spl31_245
    | ~ spl31_298 ),
    inference(sat_conversion,[],[f4501]) ).

cnf(s1124,plain,
    ( ~ spl31_201
    | spl31_246
    | ~ spl31_299 ),
    inference(sat_conversion,[],[f4502]) ).

cnf(s1126,plain,
    ( ~ spl31_15
    | ~ spl31_133
    | ~ spl31_201
    | ~ spl31_240
    | spl31_246
    | ~ spl31_315 ),
    inference(sat_conversion,[],[f4504]) ).

cnf(s1127,plain,
    ( ~ spl31_51
    | ~ spl31_117
    | ~ spl31_133
    | ~ spl31_201
    | ~ spl31_240
    | spl31_252
    | ~ spl31_315 ),
    inference(sat_conversion,[],[f4505]) ).

cnf(s1128,plain,
    ( ~ spl31_133
    | ~ spl31_201
    | ~ spl31_202
    | ~ spl31_240
    | spl31_253
    | ~ spl31_315 ),
    inference(sat_conversion,[],[f4506]) ).

cnf(s1131,plain,
    ( ~ spl31_13
    | ~ spl31_15
    | spl31_51
    | ~ spl31_117
    | ~ spl31_134
    | ~ spl31_141 ),
    inference(sat_conversion,[],[f4509]) ).

cnf(s1132,plain,
    ( ~ spl31_141
    | spl31_143
    | ~ spl31_321 ),
    inference(sat_conversion,[],[f4510]) ).

cnf(s1146,plain,
    ( ~ spl31_10
    | spl31_50
    | ~ spl31_202
    | ~ spl31_359
    | spl31_369 ),
    inference(sat_conversion,[],[f4602]) ).

cnf(s1149,plain,
    ( ~ spl31_8
    | spl31_50
    | ~ spl31_358
    | ~ spl31_359
    | spl31_371 ),
    inference(sat_conversion,[],[f4619]) ).

cnf(s1151,plain,
    ( spl31_1
    | ~ spl31_36
    | ~ spl31_140
    | ~ spl31_369
    | ~ spl31_371 ),
    inference(sat_conversion,[],[f4620]) ).

cnf(s1152,plain,
    ( ~ spl31_50
    | ~ spl31_51
    | ~ spl31_86
    | ~ spl31_117
    | spl31_119 ),
    inference(sat_conversion,[],[f4621]) ).

cnf(s1154,plain,
    ( ~ spl31_50
    | ~ spl31_51
    | ~ spl31_85
    | ~ spl31_86
    | ~ spl31_117
    | spl31_123
    | ~ spl31_202 ),
    inference(sat_conversion,[],[f4623]) ).

cnf(s1157,plain,
    ( ~ spl31_56
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_293
    | ~ spl31_294 ),
    inference(sat_conversion,[],[f4626]) ).

cnf(s1221,plain,
    ( ~ spl31_16
    | ~ spl31_135
    | spl31_141
    | spl31_185 ),
    inference(sat_conversion,[],[f4787]) ).

cnf(s1230,plain,
    ( ~ spl31_325
    | spl31_340
    | ~ spl31_352 ),
    inference(sat_conversion,[],[f4850]) ).

cnf(s1231,plain,
    ( ~ spl31_14
    | spl31_143
    | ~ spl31_325
    | ~ spl31_352
    | spl31_378 ),
    inference(sat_conversion,[],[f4857]) ).

cnf(s1234,plain,
    ( ~ spl31_12
    | spl31_143
    | ~ spl31_325
    | ~ spl31_353
    | spl31_379 ),
    inference(sat_conversion,[],[f4874]) ).

cnf(s1238,plain,
    ( ~ spl31_12
    | ~ spl31_68
    | ~ spl31_86
    | spl31_145
    | ~ spl31_298
    | spl31_381 ),
    inference(sat_conversion,[],[f4952]) ).

cnf(s1243,plain,
    ( ~ spl31_14
    | ~ spl31_68
    | ~ spl31_85
    | spl31_123
    | spl31_145
    | ~ spl31_299
    | ~ spl31_381 ),
    inference(sat_conversion,[],[f4983]) ).

cnf(s1244,plain,
    ( spl31_45
    | ~ spl31_68
    | ~ spl31_145 ),
    inference(sat_conversion,[],[f4984]) ).

cnf(s1255,plain,
    ( ~ spl31_144
    | ~ spl31_145
    | ~ spl31_146
    | spl31_182
    | ~ spl31_183 ),
    inference(sat_conversion,[],[f4995]) ).

cnf(s1257,plain,
    ( ~ spl31_144
    | ~ spl31_145
    | ~ spl31_183
    | spl31_275 ),
    inference(sat_conversion,[],[f4997]) ).

cnf(s1258,plain,
    ( ~ spl31_11
    | ~ spl31_13
    | ~ spl31_45
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_177 ),
    inference(sat_conversion,[],[f4998]) ).

cnf(s1261,plain,
    ( ~ spl31_45
    | spl31_62
    | ~ spl31_143 ),
    inference(sat_conversion,[],[f5001]) ).

cnf(s1269,plain,
    ( ~ spl31_23
    | ~ spl31_25
    | ~ spl31_101
    | ~ spl31_143
    | spl31_182
    | ~ spl31_183 ),
    inference(sat_conversion,[],[f5009]) ).

cnf(s1274,plain,
    ( ~ spl31_45
    | spl31_68
    | ~ spl31_145 ),
    inference(sat_conversion,[],[f5014]) ).

cnf(s1286,plain,
    ( spl31_50
    | ~ spl31_68
    | ~ spl31_315 ),
    inference(sat_conversion,[],[f5026]) ).

cnf(s1297,plain,
    ( ~ spl31_11
    | ~ spl31_13
    | ~ spl31_45
    | ~ spl31_83
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_256 ),
    inference(sat_conversion,[],[f5037]) ).

cnf(s1303,plain,
    ( spl31_256
    | ~ spl31_258
    | ~ spl31_275 ),
    inference(sat_conversion,[],[f5043]) ).

cnf(s1307,plain,
    ( ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | spl31_45
    | spl31_50
    | spl31_56
    | spl31_62
    | spl31_68
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123 ),
    inference(sat_conversion,[],[f5058]) ).

cnf(s1322,plain,
    ( ~ spl31_14
    | spl31_143
    | ~ spl31_352
    | spl31_384 ),
    inference(sat_conversion,[],[f5070]) ).

cnf(s1324,plain,
    ( ~ spl31_12
    | spl31_143
    | ~ spl31_353
    | spl31_385 ),
    inference(sat_conversion,[],[f5075]) ).

cnf(s1328,plain,
    ( ~ spl31_12
    | spl31_145
    | ~ spl31_298
    | spl31_386 ),
    inference(sat_conversion,[],[f5098]) ).

cnf(s1330,plain,
    ( ~ spl31_14
    | spl31_145
    | ~ spl31_299
    | spl31_387 ),
    inference(sat_conversion,[],[f5103]) ).

cnf(s1338,plain,
    ( spl31_1
    | ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_36
    | spl31_125
    | ~ spl31_140
    | spl31_194
    | spl31_201
    | spl31_266
    | spl31_325
    | spl31_359 ),
    inference(sat_conversion,[],[f5175]) ).

cnf(s1364,plain,
    ( ~ spl31_10
    | spl31_125
    | ~ spl31_378
    | spl31_389 ),
    inference(sat_conversion,[],[f5260]) ).

cnf(s1366,plain,
    ( ~ spl31_8
    | spl31_125
    | ~ spl31_379
    | spl31_390 ),
    inference(sat_conversion,[],[f5272]) ).

cnf(s1368,plain,
    ( spl31_1
    | ~ spl31_36
    | ~ spl31_140
    | ~ spl31_389
    | ~ spl31_390 ),
    inference(sat_conversion,[],[f5273]) ).

cnf(s1369,plain,
    ( ~ spl31_15
    | ~ spl31_63
    | ~ spl31_101
    | ~ spl31_133
    | ~ spl31_321
    | spl31_352 ),
    inference(sat_conversion,[],[f5274]) ).

cnf(s1370,plain,
    ( ~ spl31_17
    | ~ spl31_63
    | ~ spl31_101
    | ~ spl31_117
    | ~ spl31_133
    | ~ spl31_321
    | spl31_353 ),
    inference(sat_conversion,[],[f5275]) ).

cnf(s1371,plain,
    ( ~ spl31_321
    | ~ spl31_325
    | spl31_359 ),
    inference(sat_conversion,[],[f5276]) ).

cnf(s1374,plain,
    ( ~ spl31_143
    | spl31_194
    | ~ spl31_325 ),
    inference(sat_conversion,[],[f5279]) ).

cnf(s1377,plain,
    ( ~ spl31_13
    | ~ spl31_134
    | ~ spl31_143
    | ~ spl31_325
    | ~ spl31_340
    | spl31_379 ),
    inference(sat_conversion,[],[f5282]) ).

cnf(s1383,plain,
    ( ~ spl31_50
    | spl31_125
    | ~ spl31_359 ),
    inference(sat_conversion,[],[f5288]) ).

cnf(s1400,plain,
    ( ~ spl31_57
    | ~ spl31_109
    | ~ spl31_134
    | ~ spl31_135
    | ~ spl31_142
    | spl31_177
    | ~ spl31_199 ),
    inference(sat_conversion,[],[f5305]) ).

cnf(s1403,plain,
    ( ~ spl31_142
    | spl31_194
    | ~ spl31_266 ),
    inference(sat_conversion,[],[f5308]) ).

cnf(s1410,plain,
    ( ~ spl31_11
    | ~ spl31_57
    | ~ spl31_109
    | ~ spl31_135
    | ~ spl31_142
    | spl31_293 ),
    inference(sat_conversion,[],[f5315]) ).

cnf(s1411,plain,
    ( ~ spl31_13
    | ~ spl31_134
    | ~ spl31_142
    | ~ spl31_199
    | spl31_294 ),
    inference(sat_conversion,[],[f5316]) ).

cnf(s1417,plain,
    ( ~ spl31_62
    | ~ spl31_85
    | ~ spl31_86
    | spl31_123
    | ~ spl31_384
    | ~ spl31_385 ),
    inference(sat_conversion,[],[f5322]) ).

cnf(s1419,plain,
    ( ~ spl31_134
    | ~ spl31_145
    | ~ spl31_146
    | spl31_177
    | ~ spl31_182
    | ~ spl31_194
    | ~ spl31_246 ),
    inference(sat_conversion,[],[f5324]) ).

cnf(s1426,plain,
    ( spl31_45
    | ~ spl31_62
    | ~ spl31_143 ),
    inference(sat_conversion,[],[f5331]) ).

cnf(s1437,plain,
    ( ~ spl31_143
    | ~ spl31_194
    | spl31_325 ),
    inference(sat_conversion,[],[f5342]) ).

cnf(s1438,plain,
    ( ~ spl31_11
    | ~ spl31_23
    | ~ spl31_143
    | ~ spl31_182
    | ~ spl31_194
    | spl31_378 ),
    inference(sat_conversion,[],[f5343]) ).

cnf(s1440,plain,
    ( spl31_1
    | ~ spl31_3
    | ~ spl31_5
    | ~ spl31_32
    | ~ spl31_33
    | ~ spl31_35
    | ~ spl31_87
    | ~ spl31_88
    | ~ spl31_259
    | ~ spl31_260 ),
    inference(sat_conversion,[],[f5345]) ).

cnf(s1443,plain,
    ( ~ spl31_3
    | ~ spl31_33
    | ~ spl31_35
    | ~ spl31_88
    | spl31_140
    | ~ spl31_259
    | ~ spl31_260 ),
    inference(sat_conversion,[],[f5348]) ).

cnf(s1445,plain,
    ( ~ spl31_23
    | ~ spl31_45
    | ~ spl31_62
    | ~ spl31_182
    | spl31_256
    | ~ spl31_352 ),
    inference(sat_conversion,[],[f5350]) ).

cnf(s1453,plain,
    ( ~ spl31_35
    | ~ spl31_266
    | spl31_277 ),
    inference(sat_conversion,[],[f5358]) ).

cnf(s1457,plain,
    ( ~ spl31_35
    | ~ spl31_186
    | ~ spl31_315
    | spl31_359 ),
    inference(sat_conversion,[],[f5362]) ).

cnf(s1481,plain,
    ( ~ spl31_8
    | ~ spl31_10
    | ~ spl31_12
    | ~ spl31_14
    | ~ spl31_16
    | ~ spl31_18
    | ~ spl31_20
    | ~ spl31_22
    | ~ spl31_24
    | ~ spl31_26
    | ~ spl31_28
    | ~ spl31_34
    | ~ spl31_35
    | spl31_43
    | ~ spl31_136
    | ~ spl31_137
    | spl31_186
    | spl31_188
    | spl31_194
    | spl31_277
    | spl31_324
    | spl31_359 ),
    inference(sat_conversion,[],[f5413]) ).

cnf(s1482,plain,
    ( ~ spl31_35
    | ~ spl31_324
    | spl31_325 ),
    inference(sat_conversion,[],[f5414]) ).

cnf(s1486,plain,
    ( ~ spl31_5
    | ~ spl31_32
    | ~ spl31_35
    | spl31_36
    | ~ spl31_87
    | ~ spl31_389
    | ~ spl31_390 ),
    inference(sat_conversion,[],[f5418]) ).

cnf(s1489,plain,
    ( ~ spl31_3
    | ~ spl31_33
    | ~ spl31_35
    | ~ spl31_88
    | spl31_140
    | ~ spl31_389
    | ~ spl31_390 ),
    inference(sat_conversion,[],[f5421]) ).

cnf(s1492,plain,
    ( ~ spl31_5
    | ~ spl31_32
    | ~ spl31_35
    | spl31_41
    | ~ spl31_87
    | ~ spl31_88
    | ~ spl31_369
    | ~ spl31_371 ),
    inference(sat_conversion,[],[f5424]) ).

cnf(s1495,plain,
    ( ~ spl31_35
    | ~ spl31_186
    | spl31_201 ),
    inference(sat_conversion,[],[f5427]) ).

cnf(s1496,plain,
    ( ~ spl31_35
    | ~ spl31_186
    | spl31_240
    | ~ spl31_270 ),
    inference(sat_conversion,[],[f5428]) ).

cnf(s1499,plain,
    ( ~ spl31_35
    | ~ spl31_186
    | spl31_252
    | ~ spl31_386 ),
    inference(sat_conversion,[],[f5431]) ).

cnf(s1500,plain,
    ( ~ spl31_35
    | ~ spl31_186
    | spl31_253
    | ~ spl31_387 ),
    inference(sat_conversion,[],[f5432]) ).

cnf(s1509,plain,
    ( ~ spl31_56
    | spl31_188
    | ~ spl31_277 ),
    inference(sat_conversion,[],[f5441]) ).

cnf(s1510,plain,
    ( ~ spl31_35
    | spl31_266
    | ~ spl31_277 ),
    inference(sat_conversion,[],[f5442]) ).

cnf(s1527,plain,
    ( ~ spl31_3
    | ~ spl31_7
    | ~ spl31_9
    | ~ spl31_33
    | ~ spl31_35
    | ~ spl31_88
    | ~ spl31_123
    | ~ spl31_125
    | spl31_140 ),
    inference(sat_conversion,[],[f5459]) ).

cnf(s1537,plain,
    ( spl31_1
    | ~ spl31_36
    | ~ spl31_46
    | ~ spl31_138
    | ~ spl31_140
    | ~ spl31_177
    | ~ spl31_194 ),
    inference(sat_conversion,[],[f5469]) ).

cnf(s1538,plain,
    ( ~ spl31_134
    | ~ spl31_145
    | ~ spl31_146
    | spl31_177
    | ~ spl31_182
    | ~ spl31_299 ),
    inference(sat_conversion,[],[f5470]) ).

cnf(s1539,plain,
    ( ~ spl31_145
    | ~ spl31_194
    | spl31_201 ),
    inference(sat_conversion,[],[f5471]) ).

cnf(s1544,plain,
    ( ~ spl31_5
    | ~ spl31_32
    | ~ spl31_35
    | spl31_41
    | ~ spl31_46
    | ~ spl31_87
    | ~ spl31_88
    | ~ spl31_138
    | ~ spl31_177
    | ~ spl31_187 ),
    inference(sat_conversion,[],[f5476]) ).

cnf(s1545,plain,
    ( ~ spl31_35
    | spl31_43
    | ~ spl31_46
    | ~ spl31_87
    | ~ spl31_88
    | ~ spl31_138
    | ~ spl31_177
    | ~ spl31_187 ),
    inference(sat_conversion,[],[f5477]) ).

cnf(s1547,plain,
    spl31_127,
    inference(rat,[],[s180,s28]) ).

cnf(s1548,plain,
    spl31_128,
    inference(rat,[],[s181,s26]) ).

cnf(s1549,plain,
    spl31_129,
    inference(rat,[],[s182,s24]) ).

cnf(s1550,plain,
    spl31_130,
    inference(rat,[],[s183,s22]) ).

cnf(s1551,plain,
    spl31_131,
    inference(rat,[],[s184,s20]) ).

cnf(s1552,plain,
    spl31_132,
    inference(rat,[],[s185,s18]) ).

cnf(s1553,plain,
    spl31_133,
    inference(rat,[],[s186,s16]) ).

cnf(s1554,plain,
    spl31_134,
    inference(rat,[],[s187,s14]) ).

cnf(s1555,plain,
    spl31_135,
    inference(rat,[],[s188,s12]) ).

cnf(s1556,plain,
    spl31_85,
    inference(rat,[],[s87,s10]) ).

cnf(s1557,plain,
    spl31_86,
    inference(rat,[],[s88,s8]) ).

cnf(s1558,plain,
    spl31_136,
    inference(rat,[],[s189,s6]) ).

cnf(s1559,plain,
    spl31_137,
    inference(rat,[],[s190,s4]) ).

cnf(s1560,plain,
    spl31_34,
    inference(rat,[],[s34,s30,s2]) ).

cnf(s1561,plain,
    spl31_126,
    inference(rat,[],[s179,s1560]) ).

cnf(s1562,plain,
    spl31_93,
    inference(rat,[],[s195,s1547,s1561]) ).

cnf(s1565,plain,
    spl31_101,
    inference(rat,[],[s535,s313,s29,s27,s1548,s1549,s1562,s28,s1560]) ).

cnf(s1567,plain,
    ( spl31_195
    | spl31_109 ),
    inference(rat,[],[s829,s318,s320,s821,s543,s1550,s1551,s29,s24,s1562,s27,s26,s1560,s28,s1565,s23,s25]) ).

cnf(s1568,plain,
    ( spl31_57
    | ~ spl31_141 ),
    inference(rat,[],[s802,s540,s539,s1567,s813,s238,s795,s758,s738,s203,s326,s1551,s29,s1549,s23,s1562,s27,s1548,s25,s28,s26,s24,s1560,s1550,s1565,s19,s17,s1552,s21,s16]) ).

cnf(s1569,plain,
    spl31_109,
    inference(rat,[],[s829,s540,s539,s821,s1567,s543,s1550,s1551,s29,s1549,s23,s1562,s27,s1548,s25,s28,s26,s24,s1560,s1565]) ).

cnf(s1571,plain,
    ( ~ spl31_269
    | ~ spl31_315
    | ~ spl31_146
    | ~ spl31_144
    | spl31_117 ),
    inference(rat,[],[s833,s831,s832,s1552,s1553,s1550,s21,s1551,s19]) ).

cnf(s1572,plain,
    ( ~ spl31_315
    | ~ spl31_146
    | spl31_117
    | ~ spl31_144 ),
    inference(rat,[],[s833,s573,s575,s1571,s22,s20,s1553,s1552]) ).

cnf(s1573,plain,
    ( spl31_315
    | spl31_51 ),
    inference(rat,[],[s896,s324,s316,s582,s894,s888,s222,s221,s1400,s322,s742,s1568,s583,s1131,s201,s1552,s1553,s1565,s25,s20,s23,s22,s24,s26,s28,s1560,s1569,s12,s17,s1555,s1554,s15,s13,s18,s19,s21]) ).

cnf(s1574,plain,
    spl31_146,
    inference(rat,[],[s540,s320,s29,s1549,s23,s1562,s27,s26]) ).

cnf(s1575,plain,
    spl31_144,
    inference(rat,[],[s318,s539,s29,s24,s1562,s27,s1548,s25]) ).

cnf(s1576,plain,
    ( spl31_51
    | ~ spl31_141 ),
    inference(rat,[],[s1572,s1573,s1131,s1554,s13,s15,s1574,s1575]) ).

cnf(s1577,plain,
    spl31_51,
    inference(rat,[],[s1576,s201,s17,s12]) ).

cnf(s1578,plain,
    ( spl31_125
    | ~ spl31_353
    | ~ spl31_352
    | spl31_143
    | spl31_201
    | spl31_266
    | spl31_194
    | ~ spl31_141
    | spl31_35 ),
    inference(rat,[],[s1368,s1366,s1364,s1234,s1231,s1005,s198,s36,s1,s8,s10,s12,s14,s16,s18,s20,s22,s24,s26,s28,s1560,s4,s32,s6,s33]) ).

cnf(s1579,plain,
    ( spl31_143
    | spl31_201
    | spl31_68
    | ~ spl31_198
    | ~ spl31_141
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s999,s1157,s1417,s286,s1578,s1324,s1322,s1065,s1063,s776,s316,s205,s708,s1132,s1410,s1568,s1411,s707,s743,s710,s285,s739,s36,s48,s740,s193,s198,s16,s18,s20,s22,s24,s26,s28,s14,s12,s1560,s1556,s1557,s9,s7,s1,s1565,s23,s25,s1569,s6,s33,s10,s11,s1555,s1554,s1553,s21,s8,s13,s4,s32,s15,s17,s1552,s19]) ).

cnf(s1580,plain,
    ( spl31_201
    | spl31_68
    | ~ spl31_198
    | ~ spl31_141
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s286,s448,s341,s1579,s707,s285,s739,s36,s48,s740,s193,s198,s9,s7,s1,s10,s12,s14,s16,s18,s20,s22,s24,s26,s28,s8,s1560,s1556,s1557,s1569,s6,s33,s11,s1555,s1554,s1553,s21,s13,s4,s32,s15,s17,s1552,s19]) ).

cnf(s1581,plain,
    ( spl31_125
    | ~ spl31_253
    | ~ spl31_252
    | spl31_35 ),
    inference(rat,[],[s487,s485,s483,s198,s36,s1,s10,s8,s4,s32,s6,s33]) ).

cnf(s1585,plain,
    ( spl31_201
    | ~ spl31_125
    | ~ spl31_198
    | ~ spl31_141
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s1580,s508]) ).

cnf(s1587,plain,
    spl31_197,
    inference(rat,[],[s1058,s541,s316,s19,s1565,s25,s1551,s23,s22]) ).

cnf(s1588,plain,
    ( ~ spl31_142
    | spl31_201
    | spl31_125
    | spl31_194
    | ~ spl31_141
    | spl31_35 ),
    inference(rat,[],[s1065,s1578,s776,s1063,s205,s1132,s448,s1403,s198,s36,s16,s1565,s18,s1587,s25,s20,s10,s12,s14,s22,s24,s26,s28,s8,s1560,s1,s4,s32,s6,s33]) ).

cnf(s1589,plain,
    spl31_63,
    inference(rat,[],[s803,s541,s324,s21,s1569,s25,s1551,s20]) ).

cnf(s1590,plain,
    spl31_305,
    inference(rat,[],[s776,s1565,s1589]) ).

cnf(s1591,plain,
    ( ~ spl31_266
    | spl31_142
    | spl31_125
    | ~ spl31_199
    | ~ spl31_262
    | spl31_35 ),
    inference(rat,[],[s704,s700,s702,s685,s688,s198,s36,s1,s10,s8,s14,s12,s4,s32,s6,s33]) ).

cnf(s1592,plain,
    ( spl31_194
    | spl31_201
    | spl31_125
    | ~ spl31_199
    | ~ spl31_141
    | spl31_35 ),
    inference(rat,[],[s1578,s1065,s1063,s1132,s1374,s1005,s1591,s1588,s198,s36,s547,s1568,s16,s1590,s18,s1587,s10,s12,s14,s20,s22,s24,s26,s28,s8,s1560,s1,s1569,s4,s32,s6,s33]) ).

cnf(s1593,plain,
    ( spl31_117
    | spl31_198 ),
    inference(rat,[],[s894,s896,s1572,s24,s26,s28,s22,s20,s1552,s1553,s1560,s1589,s1565,s1587,s1575,s1574]) ).

cnf(s1596,plain,
    ( ~ spl31_142
    | ~ spl31_201
    | spl31_125
    | spl31_194
    | ~ spl31_141
    | spl31_35 ),
    inference(rat,[],[s1581,s474,s476,s464,s466,s456,s459,s12,s14,s16,s18,s20,s1575,s22,s1574]) ).

cnf(s1597,plain,
    ( spl31_125
    | spl31_194
    | ~ spl31_199
    | ~ spl31_141
    | spl31_35 ),
    inference(rat,[],[s1581,s474,s476,s464,s466,s553,s555,s1591,s1596,s1592,s547,s1568,s12,s14,s16,s18,s20,s1575,s22,s1574,s1569]) ).

cnf(s1598,plain,
    ( ~ spl31_142
    | spl31_68
    | spl31_123
    | ~ spl31_199
    | ~ spl31_141
    | spl31_45 ),
    inference(rat,[],[s1417,s1324,s1322,s1065,s1063,s999,s1132,s1157,s341,s1411,s1410,s1568,s1556,s1557,s12,s14,s16,s1590,s18,s1587,s20,s22,s24,s26,s28,s1560,s1554,s13,s11,s1555,s1569]) ).

cnf(s1600,plain,
    ( spl31_68
    | spl31_62
    | spl31_123
    | ~ spl31_199
    | ~ spl31_141
    | spl31_45 ),
    inference(rat,[],[s1157,s725,s727,s999,s1598,s547,s1568,s1556,s1557,s14,s12,s16,s18,s20,s22,s24,s26,s28,s1560,s1569]) ).

cnf(s1601,plain,
    ( ~ spl31_142
    | ~ spl31_201
    | spl31_123
    | ~ spl31_125
    | spl31_194
    | ~ spl31_141 ),
    inference(rat,[],[s495,s474,s476,s464,s466,s456,s459,s1556,s1557,s12,s14,s16,s18,s20,s1575,s22,s1574]) ).

cnf(s1602,plain,
    spl31_271,
    inference(rat,[],[s575,s832,s22,s1574,s1551,s19,s1575]) ).

cnf(s1603,plain,
    spl31_270,
    inference(rat,[],[s573,s831,s20,s1575,s1550,s21,s1574]) ).

cnf(s1605,plain,
    ( ~ spl31_359
    | ~ spl31_358
    | ~ spl31_202
    | spl31_50
    | spl31_35 ),
    inference(rat,[],[s1151,s1149,s1146,s198,s36,s1,s8,s10,s4,s32,s6,s33]) ).

cnf(s1606,plain,
    ( ~ spl31_325
    | spl31_194
    | spl31_359
    | spl31_125
    | spl31_35 ),
    inference(rat,[],[s1368,s1366,s1364,s1234,s1231,s1065,s1063,s1371,s1374,s198,s36,s1,s8,s10,s12,s14,s16,s1590,s18,s1587,s4,s32,s6,s33]) ).

cnf(s1607,plain,
    ( spl31_194
    | spl31_201
    | spl31_359
    | ~ spl31_199
    | ~ spl31_262
    | spl31_125
    | spl31_35 ),
    inference(rat,[],[s1591,s1403,s1338,s1606,s198,s36,s10,s12,s14,s16,s18,s20,s22,s24,s26,s28,s8,s1560,s1,s4,s32,s6,s33]) ).

cnf(s1608,plain,
    ( spl31_201
    | spl31_359
    | ~ spl31_57
    | ~ spl31_199
    | ~ spl31_262
    | spl31_125
    | spl31_141
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s1377,s1366,s1230,s1368,s1063,s1364,s1371,s1438,s1437,s1269,s900,s693,s1400,s1537,s1539,s1607,s198,s36,s48,s193,s1221,s1554,s13,s8,s1,s18,s1587,s10,s23,s11,s25,s1565,s20,s22,s24,s26,s28,s16,s1555,s1560,s1569,s4,s32,s6,s33]) ).

cnf(s1609,plain,
    ( ~ spl31_315
    | ~ spl31_240
    | ~ spl31_201
    | ~ spl31_117
    | spl31_125
    | ~ spl31_202
    | spl31_35 ),
    inference(rat,[],[s1581,s1128,s1127,s1553,s1577]) ).

cnf(s1610,plain,
    ( spl31_315
    | spl31_194
    | ~ spl31_201
    | spl31_125
    | spl31_35 ),
    inference(rat,[],[s1581,s474,s476,s1123,s1124,s823,s825,s12,s14,s16,s1603,s18,s1602]) ).

cnf(s1611,plain,
    ( spl31_194
    | ~ spl31_201
    | ~ spl31_117
    | ~ spl31_199
    | ~ spl31_262
    | spl31_125
    | ~ spl31_202
    | spl31_35 ),
    inference(rat,[],[s1591,s456,s553,s1609,s1610,s20,s1575]) ).

cnf(s1612,plain,
    ( ~ spl31_198
    | spl31_125
    | spl31_141
    | spl31_50
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s825,s1609,s1538,s553,s1255,s1591,s693,s1400,s1537,s544,s1611,s1608,s1605,s1074,s738,s742,s743,s744,s198,s36,s48,s193,s1221,s826,s18,s1602,s1554,s1574,s20,s1575,s1555,s1569,s1,s1577,s19,s17,s1552,s21,s1553,s15,s14,s16,s10,s11,s8,s13,s4,s32,s6,s33]) ).

cnf(s1613,plain,
    ( spl31_125
    | spl31_141
    | spl31_50
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s825,s1609,s1538,s553,s1255,s1591,s693,s1400,s1537,s544,s1611,s1608,s1605,s1074,s547,s1593,s326,s322,s1612,s198,s36,s48,s193,s1221,s826,s18,s1602,s1554,s1574,s20,s1575,s1555,s1569,s1,s1577,s21,s16,s19,s14,s15,s10,s11,s8,s13,s4,s32,s6,s33]) ).

cnf(s1614,plain,
    ( spl31_321
    | spl31_143
    | ~ spl31_62
    | spl31_123 ),
    inference(rat,[],[s1417,s1324,s1322,s1065,s1063,s1556,s1557,s12,s14,s16,s1590,s18,s1587]) ).

cnf(s1616,plain,
    ( ~ spl31_142
    | ~ spl31_56
    | ~ spl31_57
    | ~ spl31_199
    | spl31_123 ),
    inference(rat,[],[s1157,s1411,s1410,s1556,s1557,s1554,s13,s11,s1555,s1569]) ).

cnf(s1621,plain,
    ( spl31_198
    | ~ spl31_141
    | spl31_125
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s424,s1537,s587,s1597,s1593,s322,s198,s36,s48,s193,s221,s272,s222,s1,s1552,s19,s18,s1555,s17,s1554,s15,s10,s11,s8,s13,s4,s32,s6,s33]) ).

cnf(s1622,plain,
    ( ~ spl31_141
    | spl31_125
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s1597,s285,s743,s740,s739,s1621,s198,s36,s48,s193,s17,s15,s1,s1554,s1555,s1569,s21,s1553,s19,s1552,s10,s11,s8,s13,s4,s32,s6,s33]) ).

cnf(s1623,plain,
    ( ~ spl31_198
    | spl31_359
    | spl31_125
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s825,s1609,s1538,s553,s1255,s1591,s693,s1400,s1537,s544,s1611,s1608,s738,s742,s743,s744,s198,s36,s48,s193,s1221,s826,s1622,s18,s1602,s1554,s1574,s20,s1575,s1555,s1569,s1,s19,s17,s1552,s21,s1553,s15,s14,s16,s10,s11,s8,s13,s4,s32,s6,s33]) ).

cnf(s1624,plain,
    ( spl31_125
    | ~ spl31_50
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s825,s1609,s1538,s553,s1255,s1591,s693,s1400,s1537,s544,s1611,s1608,s547,s1593,s326,s322,s1623,s826,s1221,s1622,s1383,s198,s36,s48,s193,s18,s1602,s1554,s1574,s20,s1575,s1555,s1569,s1,s21,s16,s19,s15,s14,s10,s11,s8,s13,s4,s32,s6,s33]) ).

cnf(s1625,plain,
    ( ~ spl31_198
    | ~ spl31_141
    | ~ spl31_125
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s1601,s1585,s707,s515,s286,s36,s198,s6,s33,s4,s32,s1,s7,s9]) ).

cnf(s1627,plain,
    spl31_117,
    inference(rat,[],[s1593,s742,s21,s19,s1552,s1553,s1569]) ).

cnf(s1628,plain,
    spl31_358,
    inference(rat,[],[s1074,s1577,s1627]) ).

cnf(s1630,plain,
    ( spl31_125
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s1613,s1624,s1622]) ).

cnf(s1631,plain,
    ( ~ spl31_62
    | ~ spl31_141
    | spl31_123
    | spl31_45 ),
    inference(rat,[],[s1614,s1132,s1426]) ).

cnf(s1632,plain,
    ( spl31_315
    | spl31_145
    | ~ spl31_68
    | spl31_123 ),
    inference(rat,[],[s1238,s1243,s823,s825,s12,s1557,s14,s1556,s16,s1603,s18,s1602]) ).

cnf(s1633,plain,
    ( spl31_62
    | ~ spl31_199
    | spl31_123
    | spl31_45
    | ~ spl31_141 ),
    inference(rat,[],[s1238,s1243,s734,s736,s1244,s1600,s1602,s18,s1603,s16,s1556,s14,s1557,s12]) ).

cnf(s1634,plain,
    ( ~ spl31_141
    | spl31_45
    | spl31_35 ),
    inference(rat,[],[s1633,s1631,s322,s1625,s286,s1630,s36,s198,s19,s18,s6,s33,s4,s32,s1,s7,s9]) ).

cnf(s1635,plain,
    ( spl31_143
    | ~ spl31_62
    | spl31_123 ),
    inference(rat,[],[s1417,s1322,s1324,s1369,s1370,s1614,s1627,s17,s1589,s1565,s1553,s15,s12,s14,s1557,s1556]) ).

cnf(s1636,plain,
    ( ~ spl31_62
    | spl31_123
    | spl31_45 ),
    inference(rat,[],[s1635,s1426]) ).

cnf(s1637,plain,
    ( ~ spl31_56
    | ~ spl31_198
    | spl31_123 ),
    inference(rat,[],[s1157,s725,s727,s1616,s744,s743,s738,s1556,s1557,s14,s12,s1569,s1552,s17,s19,s15,s1553,s21]) ).

cnf(s1638,plain,
    ( ~ spl31_68
    | spl31_50
    | spl31_123
    | spl31_45 ),
    inference(rat,[],[s1632,s1286,s1244]) ).

cnf(s1639,plain,
    ( ~ spl31_56
    | spl31_123 ),
    inference(rat,[],[s1157,s725,s727,s1616,s547,s326,s322,s1637,s18,s19,s16,s21,s1569,s12,s14,s1557,s1556]) ).

cnf(s1640,plain,
    ( spl31_68
    | spl31_62
    | spl31_45
    | spl31_50
    | spl31_123 ),
    inference(rat,[],[s1639,s1307,s1557,s1556,s1560,s12,s14,s28,s26,s24,s22,s20,s18,s16]) ).

cnf(s1641,plain,
    ( spl31_45
    | spl31_35 ),
    inference(rat,[],[s1640,s1638,s1636,s1154,s826,s1634,s286,s1630,s198,s36,s1556,s1557,s1577,s1627,s15,s14,s9,s7,s1,s4,s32,s6,s33]) ).

cnf(s1642,plain,
    spl31_199,
    inference(rat,[],[s743,s322,s21,s1553,s15,s1569,s19,s18]) ).

cnf(s1643,plain,
    ( ~ spl31_262
    | spl31_359
    | spl31_125
    | spl31_35 ),
    inference(rat,[],[s1607,s1611,s826,s1597,s513,s1641,s1642,s1627,s14,s15]) ).

cnf(s1644,plain,
    spl31_262,
    inference(rat,[],[s326,s547,s744,s21,s16,s1569,s19,s1552,s17]) ).

cnf(s1645,plain,
    ( spl31_125
    | spl31_194
    | spl31_35 ),
    inference(rat,[],[s1605,s1383,s826,s1643,s1597,s1642,s1644,s14,s15,s1628]) ).

cnf(s1646,plain,
    ( spl31_125
    | spl31_35 ),
    inference(rat,[],[s1645,s513,s1641]) ).

cnf(s1647,plain,
    ( ~ spl31_145
    | spl31_50
    | spl31_35 ),
    inference(rat,[],[s1303,s698,s1257,s1274,s1297,s99,s693,s1221,s492,s521,s1639,s286,s36,s198,s330,s1641,s1646,s18,s1602,s1575,s6,s33,s4,s32,s1,s7,s9,s20,s1555,s16,s14,s1557,s1556,s11,s13]) ).

cnf(s1648,plain,
    ( spl31_50
    | spl31_35 ),
    inference(rat,[],[s1063,s1371,s1445,s1437,s1261,s1269,s900,s1647,s693,s1221,s1605,s333,s492,s1258,s1297,s99,s521,s1639,s286,s36,s198,s330,s1641,s1646,s18,s1587,s23,s25,s1565,s20,s22,s24,s26,s28,s16,s1554,s1555,s1560,s1628,s15,s14,s6,s33,s4,s32,s1,s7,s9,s1557,s1556,s11,s13]) ).

cnf(s1649,plain,
    spl31_35,
    inference(rat,[],[s171,s167,s1152,s55,s1648,s286,s1646,s103,s49,s100,s1641,s36,s198,s1627,s1557,s1577,s17,s9,s7,s1,s1556,s11,s12,s32,s4,s33,s6]) ).

cnf(s1650,plain,
    spl31_88,
    inference(rat,[],[s102,s4,s1649]) ).

cnf(s1651,plain,
    spl31_87,
    inference(rat,[],[s101,s6,s1649]) ).

cnf(s1654,plain,
    spl31_38,
    inference(rat,[],[s38,s5,s1649]) ).

cnf(s1655,plain,
    spl31_37,
    inference(rat,[],[s37,s3,s1649]) ).

cnf(s1656,plain,
    ~ spl31_140,
    inference(rat,[],[s488,s1649,s1,s5,s32,s1651]) ).

cnf(s1657,plain,
    spl31_42,
    inference(rat,[],[s43,s32,s1654]) ).

cnf(s1658,plain,
    spl31_40,
    inference(rat,[],[s40,s33,s1655]) ).

cnf(s1659,plain,
    ~ spl31_41,
    inference(rat,[],[s42,s1,s1658]) ).

cnf(s1660,plain,
    ~ spl31_43,
    inference(rat,[],[s45,s1657,s1659]) ).

cnf(s1661,plain,
    ( ~ spl31_324
    | ~ spl31_36 ),
    inference(rat,[],[s1007,s1482,s33,s3,s1559,s1,s1649]) ).

cnf(s1662,plain,
    ( ~ spl31_186
    | ~ spl31_142
    | spl31_194
    | ~ spl31_141
    | spl31_125 ),
    inference(rat,[],[s485,s1440,s476,s483,s466,s474,s459,s464,s1495,s1496,s10,s5,s32,s33,s3,s1,s1650,s1649,s1651,s14,s8,s18,s12,s22,s1574,s16,s1603]) ).

cnf(s1664,plain,
    ( ~ spl31_142
    | spl31_324
    | spl31_188
    | spl31_187
    | ~ spl31_141
    | spl31_125 ),
    inference(rat,[],[s1004,s1510,s1662,s1403,s531,s12,s14,s16,s18,s20,s22,s24,s26,s28,s10,s8,s1558,s1559,s1560,s1660,s1649]) ).

cnf(s1665,plain,
    ( ~ spl31_277
    | spl31_142
    | spl31_188 ),
    inference(rat,[],[s1052,s1050,s1042,s1509,s727,s725,s1660,s8,s1559,s10,s1558,s1642,s14,s1644,s12]) ).

cnf(s1666,plain,
    ( spl31_324
    | spl31_188
    | spl31_187
    | ~ spl31_141
    | spl31_125 ),
    inference(rat,[],[s485,s1440,s476,s483,s466,s474,s555,s464,s1495,s1496,s1004,s1453,s1665,s1664,s531,s10,s5,s32,s33,s3,s1,s1650,s1649,s1651,s14,s8,s18,s12,s22,s1574,s16,s1603,s20,s24,s26,s28,s1558,s1559,s1560,s1660]) ).

cnf(s1667,plain,
    ( ~ spl31_324
    | spl31_194
    | ~ spl31_141
    | spl31_125 ),
    inference(rat,[],[s1486,s1366,s1364,s1234,s1231,s1065,s1063,s1132,s1374,s1661,s1482,s32,s5,s1651,s1649,s8,s10,s12,s14,s16,s1590,s18,s1587]) ).

cnf(s1668,plain,
    ( ~ spl31_141
    | spl31_125
    | spl31_45 ),
    inference(rat,[],[s1633,s1636,s276,s1666,s1667,s531,s1545,s424,s254,s221,s222,s48,s193,s1642,s9,s7,s1558,s1559,s1660,s1649,s1651,s1650,s1627,s15,s1554,s17,s1555,s10,s11,s8,s13]) ).

cnf(s1669,plain,
    spl31_57,
    inference(rat,[],[s738,s326,s19,s17,s1552,s1569,s21,s16]) ).

cnf(s1670,plain,
    ( ~ spl31_359
    | spl31_50
    | ~ spl31_202 ),
    inference(rat,[],[s1492,s1149,s1146,s10,s1628,s8,s1659,s1649,s1650,s1651,s5,s32]) ).

cnf(s1671,plain,
    ( spl31_359
    | spl31_277
    | spl31_194
    | spl31_324
    | spl31_188
    | spl31_125 ),
    inference(rat,[],[s1443,s483,s485,s1499,s1500,s1328,s1330,s494,s823,s825,s1495,s1457,s1481,s33,s3,s1649,s1650,s1656,s8,s10,s12,s14,s16,s1603,s18,s1602,s20,s22,s24,s26,s28,s1560,s1558,s1559,s1660]) ).

cnf(s1672,plain,
    ( ~ spl31_359
    | ~ spl31_202
    | spl31_125 ),
    inference(rat,[],[s1670,s1383]) ).

cnf(s1673,plain,
    ( spl31_194
    | spl31_324
    | spl31_359
    | spl31_125
    | spl31_188 ),
    inference(rat,[],[s1403,s1665,s1510,s1671,s1649]) ).

cnf(s1674,plain,
    ( ~ spl31_143
    | ~ spl31_183
    | ~ spl31_194
    | spl31_359
    | spl31_125 ),
    inference(rat,[],[s1377,s1366,s1230,s1489,s1063,s1364,s1371,s1438,s1437,s1269,s1554,s13,s8,s33,s3,s1649,s1650,s1656,s18,s1587,s10,s23,s11,s25,s1565]) ).

cnf(s1675,plain,
    ( ~ spl31_194
    | spl31_188
    | spl31_125
    | spl31_45 ),
    inference(rat,[],[s825,s1126,s553,s1538,s1419,s1255,s1539,s900,s1674,s1453,s1665,s693,s1400,s1544,s531,s48,s193,s1221,s1672,s826,s1668,s18,s1602,s1553,s15,s20,s1575,s1554,s1574,s22,s24,s26,s28,s16,s1555,s1560,s1649,s1669,s1642,s1569,s32,s5,s1651,s1650,s1659,s14,s10,s11,s8,s13]) ).

cnf(s1676,plain,
    ( spl31_194
    | spl31_188
    | spl31_359
    | spl31_125 ),
    inference(rat,[],[s1486,s1366,s1364,s1234,s1231,s1065,s1063,s1371,s1374,s1661,s1482,s1673,s1587,s18,s1590,s16,s14,s12,s10,s8,s1649,s1651,s5,s32]) ).

cnf(s1677,plain,
    ( spl31_188
    | spl31_125
    | spl31_45 ),
    inference(rat,[],[s1676,s1675,s1672,s826,s1668,s14,s15]) ).

cnf(s1678,plain,
    ( spl31_62
    | spl31_123
    | spl31_45
    | spl31_50 ),
    inference(rat,[],[s1638,s1640]) ).

cnf(s1679,plain,
    ( spl31_125
    | spl31_45 ),
    inference(rat,[],[s1678,s1154,s1636,s276,s1677,s826,s1668,s14,s15,s1660,s1559,s1558,s7,s9,s1627,s1577,s1557,s1556]) ).

cnf(s1680,plain,
    ( spl31_62
    | spl31_45
    | spl31_123 ),
    inference(rat,[],[s1154,s826,s1678,s1633,s1642,s14,s15,s1627,s1577,s1557,s1556]) ).

cnf(s1681,plain,
    ( spl31_123
    | spl31_45 ),
    inference(rat,[],[s1680,s1636]) ).

cnf(s1682,plain,
    spl31_45,
    inference(rat,[],[s1681,s1527,s1679,s9,s33,s7,s3,s1649,s1650,s1656]) ).

cnf(s1684,plain,
    spl31_83,
    inference(rat,[],[s99,s14,s1682]) ).

cnf(s1693,plain,
    ( ~ spl31_359
    | spl31_125 ),
    inference(rat,[],[s333,s1672,s1383,s1682,s14,s15]) ).

cnf(s1694,plain,
    ( spl31_194
    | spl31_125
    | spl31_188 ),
    inference(rat,[],[s1693,s1676]) ).

cnf(s1695,plain,
    ~ spl31_123,
    inference(rat,[],[s1694,s513,s276,s1527,s1682,s9,s7,s1558,s1559,s1660,s33,s3,s1649,s1650,s1656]) ).

cnf(s1696,plain,
    ~ spl31_177,
    inference(rat,[],[s1258,s1682,s1557,s1556,s11,s13,s1695]) ).

cnf(s1699,plain,
    ~ spl31_256,
    inference(rat,[],[s1297,s1684,s1682,s1557,s1556,s11,s13,s1695]) ).

cnf(s1700,plain,
    ~ spl31_142,
    inference(rat,[],[s1400,s1569,s1642,s1669,s1555,s1554,s1696]) ).

cnf(s1705,plain,
    ~ spl31_141,
    inference(rat,[],[s424,s254,s221,s222,s1696,s1627,s15,s1554,s17,s1555]) ).

cnf(s1706,plain,
    spl31_185,
    inference(rat,[],[s1221,s1555,s16,s1705]) ).

cnf(s1707,plain,
    spl31_202,
    inference(rat,[],[s826,s14,s15,s1705]) ).

cnf(s1708,plain,
    spl31_183,
    inference(rat,[],[s693,s1700,s20,s1706]) ).

cnf(s1709,plain,
    ~ spl31_50,
    inference(rat,[],[s1154,s1627,s1577,s1695,s1557,s1556,s1707]) ).

cnf(s1713,plain,
    spl31_352,
    inference(rat,[],[s1063,s1369,s18,s1587,s15,s1553,s1565,s1589]) ).

cnf(s1715,plain,
    ~ spl31_143,
    inference(rat,[],[s1445,s1261,s1269,s23,s1682,s1699,s1713,s25,s1565,s1708]) ).

cnf(s1717,plain,
    spl31_145,
    inference(rat,[],[s900,s1696,s1700,s1705,s1560,s1555,s1554,s16,s18,s28,s26,s24,s22,s20,s1715]) ).

cnf(s1726,plain,
    spl31_68,
    inference(rat,[],[s1274,s1682,s1717]) ).

cnf(s1729,plain,
    spl31_275,
    inference(rat,[],[s1257,s1575,s1708,s1717]) ).

cnf(s1739,plain,
    spl31_258,
    inference(rat,[],[s698,s1602,s1709,s18,s1726]) ).

cnf(s1741,plain,
    $false,
    inference(rat,[],[s1303,s1699,s1729,s1739]) ).

fof(f5479,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1741]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV553-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.17  % Computer : n008.cluster.edu
% 0.13/0.17  % Model    : x86_64 x86_64
% 0.13/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17  % Memory   : 8046.5625MB
% 0.13/0.17  % OS       : Linux 6.8.0-71-generic
% 0.13/0.18  % CPULimit : 300
% 0.13/0.18  % WCLimit  : 300
% 0.13/0.18  % DateTime : Mon Sep 28 11:45:39 UTC 2026
% 0.13/0.18  % CPUTime  : 
% 0.13/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.21  Running first-order theorem proving
% 0.13/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.25/2.13  % (2193757)Input is clausal, will run a generic CNF schedule.
% 10.25/2.13  % (2193762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1014509678:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.25/2.13  % (2193767)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3855862080:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.25/2.13  % (2193766)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1801359952:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.25/2.13  % (2193765)lrs+10_1_sil=8000:sp=occurrence:random_seed=4182812782:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.25/2.13  % (2193763)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1353634346:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.25/2.13  % (2193768)dis-21_1_sil=8000:lcm=predicate:random_seed=1410524087:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.25/2.13  % (2193764)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3702857197:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.25/2.13  % (2193768)Refutation not found, incomplete strategy
% 10.25/2.13  % (2193768)------------------------------
% 10.25/2.13  % (2193768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13  % (2193768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13  % (2193768)CaDiCaL version: 2.1.3
% 10.25/2.13  % (2193768)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.13  % (2193768)Time elapsed: 0.002 s
% 10.25/2.13  % (2193768)Peak memory usage: 88 MB
% 10.25/2.13  % (2193768)Instructions burned: 3 (million)
% 10.25/2.13  % (2193765)Instruction limit reached! 
% 10.25/2.13  % (2193765)------------------------------
% 10.25/2.13  % (2193765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13  % (2193765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13  % (2193765)CaDiCaL version: 2.1.3
% 10.25/2.13  % (2193765)Termination reason: Instruction limit
% 10.25/2.13  % (2193765)Termination phase: Saturation
% 10.25/2.13  % (2193765)Time elapsed: 0.046 s
% 10.25/2.13  % (2193765)Peak memory usage: 88 MB
% 10.25/2.13  % (2193765)Instructions burned: 108 (million)
% 10.25/2.13  % (2193766)Instruction limit reached! 
% 10.25/2.13  % (2193766)------------------------------
% 10.25/2.13  % (2193766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13  % (2193766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13  % (2193766)CaDiCaL version: 2.1.3
% 10.25/2.13  % (2193766)Termination reason: Instruction limit
% 10.25/2.13  % (2193766)Termination phase: Saturation
% 10.25/2.13  % (2193766)Time elapsed: 0.048 s
% 10.25/2.13  % (2193766)Peak memory usage: 88 MB
% 10.25/2.13  % (2193766)Instructions burned: 114 (million)
% 10.25/2.13  % (2193767)Instruction limit reached! 
% 10.25/2.13  % (2193767)------------------------------
% 10.25/2.13  % (2193767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13  % (2193767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13  % (2193767)CaDiCaL version: 2.1.3
% 10.25/2.13  % (2193767)Termination reason: Instruction limit
% 10.25/2.13  % (2193767)Termination phase: Saturation
% 10.25/2.13  % (2193767)Time elapsed: 0.081 s
% 10.25/2.13  % (2193767)Peak memory usage: 89 MB
% 10.25/2.13  % (2193767)Instructions burned: 180 (million)
% 10.25/2.13  % (2193777)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=406389618:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.25/2.13  % (2193776)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3094495825:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.25/2.13  % (2193778)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3279113870:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.25/2.13  % (2193768)------------------------------
% 10.25/2.13  % (2193768)------------------------------
% 10.25/2.13  % (2193776)Instruction limit reached! 
% 10.25/2.13  % (2193776)------------------------------
% 10.85/3.80  % (2193776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193776)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193776)Termination reason: Instruction limit
% 10.85/3.80  % (2193776)Termination phase: Saturation
% 10.85/3.80  % (2193776)Time elapsed: 0.065 s
% 10.85/3.80  % (2193776)Peak memory usage: 89 MB
% 10.85/3.80  % (2193776)Instructions burned: 144 (million)
% 10.85/3.80  % (2193777)Instruction limit reached! 
% 10.85/3.80  % (2193777)------------------------------
% 10.85/3.80  % (2193777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193777)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193777)Termination reason: Instruction limit
% 10.85/3.80  % (2193777)Termination phase: Saturation
% 10.85/3.80  % (2193777)Time elapsed: 0.075 s
% 10.85/3.80  % (2193777)Peak memory usage: 88 MB
% 10.85/3.80  % (2193777)Instructions burned: 191 (million)
% 10.85/3.80  % (2193778)Instruction limit reached! 
% 10.85/3.80  % (2193778)------------------------------
% 10.85/3.80  % (2193778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193778)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193778)Termination reason: Instruction limit
% 10.85/3.80  % (2193778)Termination phase: Saturation
% 10.85/3.80  % (2193778)Time elapsed: 0.093 s
% 10.85/3.80  % (2193778)Peak memory usage: 89 MB
% 10.85/3.80  % (2193778)Instructions burned: 221 (million)
% 10.85/3.80  % (2193782)lrs+10_64_to=lpo:sil=8000:random_seed=4281558967:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.85/3.80  % (2193783)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3556943660:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.85/3.80  % (2193784)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2314478385:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.85/3.80  % (2193782)Instruction limit reached! 
% 10.85/3.80  % (2193782)------------------------------
% 10.85/3.80  % (2193782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193782)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193782)Termination reason: Instruction limit
% 10.85/3.80  % (2193782)Termination phase: Saturation
% 10.85/3.80  % (2193782)Time elapsed: 0.051 s
% 10.85/3.80  % (2193782)Peak memory usage: 88 MB
% 10.85/3.80  % (2193782)Instructions burned: 128 (million)
% 10.85/3.80  % (2193785)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1590560944:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.85/3.80  % (2193783)Instruction limit reached! 
% 10.85/3.80  % (2193783)------------------------------
% 10.85/3.80  % (2193783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193783)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193783)Termination reason: Instruction limit
% 10.85/3.80  % (2193783)Termination phase: Saturation
% 10.85/3.80  % (2193783)Time elapsed: 0.084 s
% 10.85/3.80  % (2193783)Peak memory usage: 88 MB
% 10.85/3.80  % (2193783)Instructions burned: 194 (million)
% 10.85/3.80  % (2193784)Instruction limit reached! 
% 10.85/3.80  % (2193784)------------------------------
% 10.85/3.80  % (2193784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193784)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193784)Termination reason: Instruction limit
% 10.85/3.80  % (2193784)Termination phase: Saturation
% 10.85/3.80  % (2193784)Time elapsed: 0.100 s
% 10.85/3.80  % (2193784)Peak memory usage: 90 MB
% 10.85/3.80  % (2193784)Instructions burned: 158 (million)
% 10.85/3.80  % (2193789)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3370484115:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 10.85/3.80  % (2193789)Instruction limit reached! 
% 10.85/3.80  % (2193789)------------------------------
% 10.85/3.80  % (2193789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193789)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193789)Termination reason: Instruction limit
% 10.85/3.80  % (2193789)Termination phase: Saturation
% 10.85/3.80  % (2193789)Time elapsed: 0.047 s
% 10.85/3.80  % (2193789)Peak memory usage: 89 MB
% 10.85/3.80  % (2193789)Instructions burned: 106 (million)
% 10.85/3.80  % (2193791)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3441618748:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.85/3.80  % (2193792)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=618969477:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.85/3.80  % (2193791)Instruction limit reached! 
% 10.85/3.80  % (2193791)------------------------------
% 10.85/3.80  % (2193791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193791)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193791)Termination reason: Instruction limit
% 10.85/3.80  % (2193791)Termination phase: Saturation
% 10.85/3.80  % (2193791)Time elapsed: 0.050 s
% 10.85/3.80  % (2193791)Peak memory usage: 88 MB
% 10.85/3.80  % (2193791)Instructions burned: 109 (million)
% 10.85/3.80  % (2193792)Instruction limit reached! 
% 10.85/3.80  % (2193792)------------------------------
% 10.85/3.80  % (2193792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193792)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193792)Termination reason: Instruction limit
% 10.85/3.80  % (2193792)Termination phase: Saturation
% 10.85/3.80  % (2193792)Time elapsed: 0.098 s
% 10.85/3.80  % (2193792)Peak memory usage: 88 MB
% 10.85/3.80  % (2193792)Instructions burned: 244 (million)
% 10.85/3.80  % (2193795)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2457825924:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 10.85/3.80  % (2193797)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=859403302:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 10.85/3.80  % (2193797)Instruction limit reached! 
% 10.85/3.80  % (2193797)------------------------------
% 10.85/3.80  % (2193797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193797)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193797)Termination reason: Instruction limit
% 10.85/3.80  % (2193797)Termination phase: Saturation
% 10.85/3.80  % (2193797)Time elapsed: 0.062 s
% 10.85/3.80  % (2193797)Peak memory usage: 89 MB
% 10.85/3.80  % (2193797)Instructions burned: 136 (million)
% 10.85/3.80  % (2193798)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3507251794:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 10.85/3.80  % (2193801)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4147952716:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 10.85/3.80  % (2193798)Instruction limit reached! 
% 10.85/3.80  % (2193798)------------------------------
% 10.85/3.80  % (2193798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193798)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193798)Termination reason: Instruction limit
% 10.85/3.80  % (2193798)Termination phase: Saturation
% 10.85/3.80  % (2193798)Time elapsed: 0.200 s
% 10.85/3.80  % (2193798)Peak memory usage: 90 MB
% 10.85/3.80  % (2193798)Instructions burned: 499 (million)
% 10.85/3.80  % (2193801)Instruction limit reached! 
% 10.85/3.80  % (2193801)------------------------------
% 10.85/3.80  % (2193801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193801)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193801)Termination reason: Instruction limit
% 10.85/3.80  % (2193801)Termination phase: Saturation
% 10.85/3.80  % (2193801)Time elapsed: 0.081 s
% 10.85/3.80  % (2193801)Peak memory usage: 88 MB
% 10.85/3.80  % (2193801)Instructions burned: 191 (million)
% 10.85/3.80  % (2193804)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1531296002:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 10.85/3.80  % (2193805)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3526781293:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 10.85/3.80  % (2193805)Instruction limit reached! 
% 10.85/3.80  % (2193805)------------------------------
% 10.85/3.80  % (2193805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193805)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193805)Termination reason: Instruction limit
% 10.85/3.80  % (2193805)Termination phase: Saturation
% 10.85/3.80  % (2193805)Time elapsed: 0.074 s
% 10.85/3.80  % (2193805)Peak memory usage: 89 MB
% 10.85/3.80  % (2193805)Instructions burned: 156 (million)
% 10.85/3.80  % (2193804)Instruction limit reached! 
% 10.85/3.80  % (2193804)------------------------------
% 10.85/3.80  % (2193804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193804)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193804)Termination reason: Instruction limit
% 10.85/3.80  % (2193804)Termination phase: Saturation
% 10.85/3.80  % (2193804)Time elapsed: 0.106 s
% 10.85/3.80  % (2193804)Peak memory usage: 89 MB
% 10.85/3.80  % (2193804)Instructions burned: 267 (million)
% 10.85/3.80  % (2193808)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=581555732:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 10.85/3.80  % (2193809)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2905466542:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 10.85/3.80  % (2193809)Instruction limit reached! 
% 10.85/3.80  % (2193809)------------------------------
% 10.85/3.80  % (2193809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193809)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193809)Termination reason: Instruction limit
% 10.85/3.80  % (2193809)Termination phase: Saturation
% 10.85/3.80  % (2193809)Time elapsed: 0.215 s
% 10.85/3.80  % (2193809)Peak memory usage: 89 MB
% 10.85/3.80  % (2193809)Instructions burned: 539 (million)
% 10.85/3.80  % (2193812)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=843893325:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 10.85/3.80  % (2193812)Instruction limit reached! 
% 10.85/3.80  % (2193812)------------------------------
% 10.85/3.80  % (2193812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193812)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193812)Termination reason: Instruction limit
% 10.85/3.80  % (2193812)Termination phase: Saturation
% 10.85/3.80  % (2193812)Time elapsed: 0.074 s
% 10.85/3.80  % (2193812)Peak memory usage: 89 MB
% 10.85/3.80  % (2193812)Instructions burned: 181 (million)
% 10.85/3.80  % (2193814)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3189573757:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 10.85/3.80  % (2193785)Instruction limit reached! 
% 10.85/3.80  % (2193785)------------------------------
% 10.85/3.80  % (2193785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/3.80  % (2193785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/3.80  % (2193785)CaDiCaL version: 2.1.3
% 10.85/3.80  % (2193785)Termination reason: Instruction limit
% 10.85/3.80  % (2193785)Termination phase: Saturation
% 10.85/3.80  % (2193785)Time elapsed: 1.879 s
% 10.85/3.80  % (2193785)Peak memory usage: 147 MB
% 10.85/3.80  % (2193785)Instructions burned: 3394 (million)
% 10.85/3.80  % (2193816)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2405119825:i=412:gtgl=4:gtg=exists_all_2974 on theBenchmark for (2974ds/412Mi)
% 10.85/3.80  % (2193816)First to succeed.
% 10.85/3.80  % (2193816)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2193757"
% 10.85/3.80  % (2193816)Refutation found. Thanks to Tanya!
% 10.85/3.80  % SZS status Unsatisfiable for theBenchmark
% 10.85/3.80  % SZS output start Proof for theBenchmark
% See solution above
% 22.74/4.00  % (2193816)------------------------------
% 22.74/4.00  % (2193816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.74/4.00  % (2193816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.74/4.00  % (2193816)CaDiCaL version: 2.1.3
% 22.74/4.00  % (2193816)Termination reason: Refutation
% 22.74/4.00  % (2193816)Time elapsed: 0.175 s
% 22.74/4.00  % (2193816)Peak memory usage: 92 MB
% 22.74/4.00  % (2193816)Instructions burned: 296 (million)
% 22.74/4.00  % (2193816)------------------------------
% 22.74/4.00  % (2193816)------------------------------
% 22.74/4.00  % (2193757)Success in time 3.142 s
% 22.74/4.00  % Vampire exiting
%------------------------------------------------------------------------------