TSTP Solution File: SYO499_8 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO499_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:11:33 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 39
% Syntax : Number of formulae : 292 ( 8 unt; 18 typ; 0 def)
% Number of atoms : 1210 ( 250 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 796 ( 349 ~; 412 |; 17 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 500 ( 489 fml; 11 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 21 usr; 23 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-1 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $o > $i ).
tff(func_def_1,type,
f1: $o > $i ).
tff(func_def_2,type,
f2: $o > $i ).
tff(func_def_3,type,
g: $o > $i ).
tff(func_def_4,type,
g1: $o > $i ).
tff(func_def_5,type,
g2: $o > $i ).
tff(func_def_8,type,
bG0: $o ).
tff(func_def_9,type,
bG1: $o ).
tff(func_def_10,type,
bG2: $o ).
tff(func_def_11,type,
bG3: $o ).
tff(func_def_12,type,
bG4: $o ).
tff(func_def_13,type,
bG5: $o ).
tff(func_def_14,type,
bG6: $o ).
tff(func_def_15,type,
bG7: $o ).
tff(func_def_16,type,
bG8: $o ).
tff(func_def_17,type,
bG9: $o ).
tff(func_def_18,type,
bG10: $o ).
tff(func_def_19,type,
bG11: $o ).
tff(f375,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f78,f89,f181,f190,f194,f219,f223,f226,f228,f230,f232,f234,f236,f238,f240,f242,f244,f246,f248,f250,f252,f254,f297,f299,f301,f303,f305,f307,f310,f312,f346,f349,f352,f354,f356,f374]) ).
tff(f374,plain,
( ~ spl12_1
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f373]) ).
tff(f373,plain,
( $false
| ~ spl12_1
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f372]) ).
tff(f372,plain,
( ( f($true) != f($true) )
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f371,f366]) ).
tff(f366,plain,
( ( $true = bG2 )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f49,f63]) ).
tff(f63,plain,
( b
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f62,plain,
( spl12_1
<=> b ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
tff(f49,plain,
( ( $true = bG2 )
| ~ b ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
( ( b
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ b ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f7,plain,
( b
<=> ( $true = bG2 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG2])]) ).
tff(f371,plain,
( ( f(bG2) != f($true) )
| ~ spl12_1
| ~ spl12_6 ),
inference(superposition,[],[f369,f276]) ).
tff(f276,plain,
( ( f(bG2) = g($true) )
| ~ spl12_6 ),
inference(superposition,[],[f56,f257]) ).
tff(f257,plain,
( ( $true = bG3 )
| ~ spl12_6 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f113,f44,f43,f42,f41,f36,f35,f34,f107,f40,f101,f104,f54,f53,f48,f88,f110,f45,f255,f46,f256,f47]) ).
tff(f47,plain,
( ( $true = bG3 )
| ~ a ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ( a
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ a ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
( a
<=> ( $true = bG3 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG3])]) ).
tff(f256,plain,
( a
| ~ spl12_6 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f113,f44,f43,f42,f41,f36,f35,f34,f107,f40,f101,f104,f54,f53,f48,f47,f88,f110,f45,f255,f46]) ).
tff(f46,plain,
( a
| ( $true != bG4 ) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
( ( a
| ( $true != bG4 ) )
& ( ( $true = bG4 )
| ~ a ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f9,plain,
( a
<=> ( $true = bG4 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG4])]) ).
tff(f255,plain,
( ( $true = bG4 )
| ~ spl12_6 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f113,f44,f43,f42,f41,f36,f35,f34,f107,f40,f101,f104,f54,f53,f48,f47,f46,f88,f110,f45]) ).
tff(f45,plain,
( ( $true = bG4 )
| ~ a ),
inference(cnf_transformation,[],[f26]) ).
tff(f110,plain,
( ( f1(bG6) = g1($true) )
| ( $false = bG7 ) ),
inference(superposition,[],[f58,f4]) ).
tff(f88,plain,
( ( $true = bG7 )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f86,plain,
( spl12_6
<=> ( $true = bG7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
tff(f48,plain,
( a
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f53,plain,
( ( $true = bG0 )
| ~ a ),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ( a
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ a ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f5,plain,
( a
<=> ( $true = bG0 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG0])]) ).
tff(f54,plain,
( a
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f104,plain,
( ( f(bG2) = g($true) )
| ( $false = bG3 ) ),
inference(superposition,[],[f56,f4]) ).
tff(f101,plain,
( ( f(bG0) != g($true) )
| ( $false = bG1 ) ),
inference(superposition,[],[f55,f4]) ).
tff(f40,plain,
( a
| ( $true != bG7 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ( a
| ( $true != bG7 ) )
& ( ( $true = bG7 )
| ~ a ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f12,plain,
( a
<=> ( $true = bG7 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG7])]) ).
tff(f107,plain,
( ( f1(bG4) != g1($true) )
| ( $false = bG5 ) ),
inference(superposition,[],[f57,f4]) ).
tff(f34,plain,
( c
| ( $true != bG10 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( c
| ( $true != bG10 ) )
& ( ( $true = bG10 )
| ~ c ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f15,plain,
( c
<=> ( $true = bG10 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG10])]) ).
tff(f35,plain,
( ( $true = bG9 )
| ~ c ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
( ( c
| ( $true != bG9 ) )
& ( ( $true = bG9 )
| ~ c ) ),
inference(nnf_transformation,[],[f14]) ).
tff(f14,plain,
( c
<=> ( $true = bG9 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG9])]) ).
tff(f36,plain,
( c
| ( $true != bG9 ) ),
inference(cnf_transformation,[],[f21]) ).
tff(f41,plain,
( ( $true = bG6 )
| ~ c ),
inference(cnf_transformation,[],[f24]) ).
tff(f24,plain,
( ( c
| ( $true != bG6 ) )
& ( ( $true = bG6 )
| ~ c ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f11,plain,
( c
<=> ( $true = bG6 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG6])]) ).
tff(f42,plain,
( c
| ( $true != bG6 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f43,plain,
( ( $true = bG5 )
| ~ c ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ( c
| ( $true != bG5 ) )
& ( ( $true = bG5 )
| ~ c ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,plain,
( c
<=> ( $true = bG5 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG5])]) ).
tff(f44,plain,
( c
| ( $true != bG5 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f113,plain,
( ( f2(bG8) != g2($true) )
| ( $false = bG9 ) ),
inference(superposition,[],[f59,f4]) ).
tff(f32,plain,
( b
| ( $true != bG11 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( b
| ( $true != bG11 ) )
& ( ( $true = bG11 )
| ~ b ) ),
inference(nnf_transformation,[],[f16]) ).
tff(f16,plain,
( b
<=> ( $true = bG11 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG11])]) ).
tff(f37,plain,
( ( $true = bG8 )
| ~ b ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( b
| ( $true != bG8 ) )
& ( ( $true = bG8 )
| ~ b ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
( b
<=> ( $true = bG8 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG8])]) ).
tff(f38,plain,
( b
| ( $true != bG8 ) ),
inference(cnf_transformation,[],[f22]) ).
tff(f50,plain,
( b
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f28]) ).
tff(f51,plain,
( ( $true = bG1 )
| ~ b ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
( ( b
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ b ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( b
<=> ( $true = bG1 ) ),
introduced(fool_formula_definition,[new_symbols(definition,[bG1])]) ).
tff(f52,plain,
( b
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f29]) ).
tff(f116,plain,
( ( f2(bG10) = g2($true) )
| ( $false = bG11 ) ),
inference(superposition,[],[f60,f4]) ).
tff(f97,plain,
! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ),
inference(superposition,[],[f4,f4]) ).
tff(f4,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f39,plain,
( ( $true = bG7 )
| ~ a ),
inference(cnf_transformation,[],[f23]) ).
tff(f33,plain,
( ( $true = bG10 )
| ~ c ),
inference(cnf_transformation,[],[f20]) ).
tff(f31,plain,
( ( $true = bG11 )
| ~ b ),
inference(cnf_transformation,[],[f19]) ).
tff(f60,plain,
f2(bG10) = g2(bG11),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( f2(bG10) = g2(bG11) )
& ( f2(bG8) != g2(bG9) )
& ( f1(bG6) = g1(bG7) )
& ( f1(bG4) != g1(bG5) )
& ( f(bG2) = g(bG3) )
& ( f(bG0) != g(bG1) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ( ( f2(bG10) != g2(bG11) )
| ( f2(bG8) = g2(bG9) )
| ( f1(bG6) != g1(bG7) )
| ( f1(bG4) = g1(bG5) )
| ( f(bG2) != g(bG3) )
| ( f(bG0) = g(bG1) ) ),
inference(fool_elimination,[],[f2,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5]) ).
tff(f2,negated_conjecture,
~ ( ( f2(c) != g2(b) )
| ( f2(b) = g2(c) )
| ( f1(c) != g1(a) )
| ( f1(a) = g1(c) )
| ( f(b) != g(a) )
| ( f(a) = g(b) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( f2(c) != g2(b) )
| ( f2(b) = g2(c) )
| ( f1(c) != g1(a) )
| ( f1(a) = g1(c) )
| ( f(b) != g(a) )
| ( f(a) = g(b) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f59,plain,
f2(bG8) != g2(bG9),
inference(cnf_transformation,[],[f18]) ).
tff(f58,plain,
f1(bG6) = g1(bG7),
inference(cnf_transformation,[],[f18]) ).
tff(f57,plain,
f1(bG4) != g1(bG5),
inference(cnf_transformation,[],[f18]) ).
tff(f55,plain,
f(bG0) != g(bG1),
inference(cnf_transformation,[],[f18]) ).
tff(f3,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f56,plain,
f(bG2) = g(bG3),
inference(cnf_transformation,[],[f18]) ).
tff(f369,plain,
( ( g($true) != f($true) )
| ~ spl12_1
| ~ spl12_6 ),
inference(forward_demodulation,[],[f368,f259]) ).
tff(f259,plain,
( ( $true = bG0 )
| ~ spl12_6 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f113,f44,f43,f42,f41,f36,f35,f34,f107,f40,f101,f104,f54,f88,f110,f45,f255,f46,f256,f47,f257,f48,f258,f53]) ).
tff(f258,plain,
( a
| ~ spl12_6 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f113,f44,f43,f42,f41,f36,f35,f34,f107,f40,f101,f104,f54,f53,f88,f110,f45,f255,f46,f256,f47,f257,f48]) ).
tff(f368,plain,
( ( f(bG0) != g($true) )
| ~ spl12_1 ),
inference(superposition,[],[f55,f367]) ).
tff(f367,plain,
( ( $true = bG1 )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f51,f63]) ).
tff(f356,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f355]) ).
tff(f355,plain,
( $false
| spl12_1
| ~ spl12_2 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f80,f39,f94,f95,f4,f97,f128,f116,f130,f138,f121,f127,f52,f51,f50,f49,f38,f113,f44,f184,f198,f224,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f64,f261,f272,f278,f280,f34,f35,f36,f41,f42,f43,f350,f68]) ).
tff(f68,plain,
( ( $true = bG11 )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f66,plain,
( spl12_2
<=> ( $true = bG11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
tff(f350,plain,
( ( $true != bG11 )
| spl12_1 ),
inference(subsumption_resolution,[],[f32,f64]) ).
tff(f280,plain,
( ( $false = bG8 )
| spl12_1 ),
inference(trivial_inequality_removal,[],[f279]) ).
tff(f279,plain,
( ( $true != $true )
| ( $false = bG8 )
| spl12_1 ),
inference(superposition,[],[f278,f4]) ).
tff(f278,plain,
( ( $true != bG8 )
| spl12_1 ),
inference(subsumption_resolution,[],[f38,f64]) ).
tff(f272,plain,
( ( f(bG0) != g($false) )
| spl12_1 ),
inference(superposition,[],[f55,f261]) ).
tff(f261,plain,
( ( $false = bG1 )
| spl12_1 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f80,f39,f94,f95,f4,f97,f128,f116,f130,f138,f121,f127,f52,f51,f50,f49,f38,f37,f32,f113,f44,f43,f42,f41,f36,f35,f34,f107,f40,f64,f110,f45,f46,f47,f48,f53,f54,f104,f101]) ).
tff(f64,plain,
( ~ b
| spl12_1 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f224,plain,
( b
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f32,f68]) ).
tff(f198,plain,
( ( f2(bG10) = g2($true) )
| ~ spl12_2 ),
inference(trivial_inequality_removal,[],[f197]) ).
tff(f197,plain,
( ( $true = $false )
| ( f2(bG10) = g2($true) )
| ~ spl12_2 ),
inference(forward_demodulation,[],[f116,f68]) ).
tff(f184,plain,
( ( f2(bG10) = g2($true) )
| ~ spl12_2 ),
inference(superposition,[],[f60,f68]) ).
tff(f127,plain,
( ( $false = bG2 )
| spl12_1 ),
inference(trivial_inequality_removal,[],[f102]) ).
tff(f102,plain,
( ( $true != $true )
| ( $false = bG2 )
| spl12_1 ),
inference(superposition,[],[f94,f4]) ).
tff(f121,plain,
( ( $false = bG8 )
| spl12_1 ),
inference(trivial_inequality_removal,[],[f111]) ).
tff(f111,plain,
( ( $true != $true )
| ( $false = bG8 )
| spl12_1 ),
inference(superposition,[],[f80,f4]) ).
tff(f138,plain,
( ( f(bG0) != g($false) )
| spl12_1 ),
inference(superposition,[],[f55,f130]) ).
tff(f130,plain,
( ( $false = bG1 )
| spl12_1 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f64,f33,f80,f39,f94,f95,f4,f97,f128,f101]) ).
tff(f128,plain,
( ( $false = bG1 )
| spl12_1 ),
inference(trivial_inequality_removal,[],[f100]) ).
tff(f100,plain,
( ( $true != $true )
| ( $false = bG1 )
| spl12_1 ),
inference(superposition,[],[f95,f4]) ).
tff(f95,plain,
( ( $true != bG1 )
| spl12_1 ),
inference(subsumption_resolution,[],[f52,f64]) ).
tff(f94,plain,
( ( $true != bG2 )
| spl12_1 ),
inference(subsumption_resolution,[],[f50,f64]) ).
tff(f80,plain,
( ( $true != bG8 )
| spl12_1 ),
inference(subsumption_resolution,[],[f38,f64]) ).
tff(f354,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f353]) ).
tff(f353,plain,
( $false
| spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f224,f64]) ).
tff(f352,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_contradiction_clause,[],[f351]) ).
tff(f351,plain,
( $false
| spl12_1
| ~ spl12_2 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f80,f39,f94,f95,f4,f97,f128,f116,f130,f138,f121,f127,f52,f51,f50,f49,f38,f68,f113,f44,f184,f198,f224,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f64,f261,f272,f278,f280,f34,f35,f36,f41,f42,f43,f350]) ).
tff(f349,plain,
( spl12_1
| ~ spl12_2
| spl12_4 ),
inference(avatar_contradiction_clause,[],[f348]) ).
tff(f348,plain,
( $false
| spl12_1
| ~ spl12_2
| spl12_4 ),
inference(global_subsumption,[],[f347,f3,f55,f56,f57,f58,f59,f60,f31,f33,f80,f39,f94,f95,f4,f97,f128,f116,f130,f138,f121,f127,f52,f51,f50,f49,f38,f68,f113,f44,f184,f198,f224,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f64,f261,f272,f278,f280,f34,f35,f36,f41,f42,f43]) ).
tff(f347,plain,
( ( g2($true) = f2($false) )
| ( $false = bG11 )
| spl12_4 ),
inference(forward_demodulation,[],[f116,f119]) ).
tff(f119,plain,
( ( $false = bG10 )
| spl12_4 ),
inference(trivial_inequality_removal,[],[f114]) ).
tff(f114,plain,
( ( $true != $true )
| ( $false = bG10 )
| spl12_4 ),
inference(superposition,[],[f76,f4]) ).
tff(f76,plain,
( ( $true != bG10 )
| spl12_4 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f75,plain,
( spl12_4
<=> ( $true = bG10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
tff(f346,plain,
( spl12_1
| spl12_2
| spl12_4 ),
inference(avatar_contradiction_clause,[],[f345]) ).
tff(f345,plain,
( $false
| spl12_1
| spl12_2
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f80,f39,f94,f95,f4,f97,f128,f118,f116,f130,f138,f158,f121,f127,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f263,f37,f264,f67,f64,f135,f261,f272,f278,f280,f34,f313,f35,f314,f36,f41,f316,f42,f43,f318,f268,f76,f320,f315,f317,f119,f322,f335,f324,f344]) ).
tff(f344,plain,
( ( g2($false) = f2($false) )
| spl12_2
| spl12_4 ),
inference(forward_demodulation,[],[f268,f119]) ).
tff(f324,plain,
( ( $false = bG6 )
| spl12_4 ),
inference(trivial_inequality_removal,[],[f323]) ).
tff(f323,plain,
( ( $true != $true )
| ( $false = bG6 )
| spl12_4 ),
inference(superposition,[],[f317,f4]) ).
tff(f335,plain,
( ( g2($false) != f2($false) )
| spl12_1
| spl12_4 ),
inference(forward_demodulation,[],[f333,f280]) ).
tff(f333,plain,
( ( f2(bG8) != g2($false) )
| spl12_4 ),
inference(superposition,[],[f59,f322]) ).
tff(f322,plain,
( ( $false = bG9 )
| spl12_4 ),
inference(trivial_inequality_removal,[],[f321]) ).
tff(f321,plain,
( ( $true != $true )
| ( $false = bG9 )
| spl12_4 ),
inference(superposition,[],[f315,f4]) ).
tff(f317,plain,
( ( $true != bG6 )
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f76,f39,f4,f97,f116,f119,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f43,f34,f313,f35,f314,f36,f315,f41,f316,f42]) ).
tff(f315,plain,
( ( $true != bG9 )
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f76,f39,f4,f97,f116,f119,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f43,f42,f41,f34,f313,f35,f314,f36]) ).
tff(f320,plain,
( ( $false = bG10 )
| spl12_4 ),
inference(trivial_inequality_removal,[],[f319]) ).
tff(f319,plain,
( ( $true != $true )
| ( $false = bG10 )
| spl12_4 ),
inference(superposition,[],[f76,f4]) ).
tff(f268,plain,
( ( f2(bG10) = g2($false) )
| spl12_2 ),
inference(superposition,[],[f60,f135]) ).
tff(f318,plain,
( ~ c
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f76,f39,f4,f97,f116,f119,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f34,f313,f35,f314,f36,f315,f41,f316,f42,f317,f43]) ).
tff(f316,plain,
( ~ c
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f76,f39,f4,f97,f116,f119,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f43,f42,f34,f313,f35,f314,f36,f315,f41]) ).
tff(f314,plain,
( ~ c
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f76,f39,f4,f97,f116,f119,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f43,f42,f41,f36,f34,f313,f35]) ).
tff(f313,plain,
( ( $true != bG10 )
| spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f76,f39,f4,f97,f116,f119,f52,f51,f50,f49,f38,f183,f113,f44,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f43,f42,f41,f36,f35,f34]) ).
tff(f135,plain,
( ( $false = bG11 )
| spl12_2 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f67,f33,f39,f4,f97,f101,f104,f107,f110,f113,f118,f116]) ).
tff(f67,plain,
( ( $true != bG11 )
| spl12_2 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f264,plain,
( ~ b
| spl12_2 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f67,f33,f39,f4,f97,f118,f116,f135,f158,f52,f51,f50,f49,f38,f113,f44,f43,f42,f41,f36,f35,f34,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f263,f37]) ).
tff(f263,plain,
( ( $true != bG11 )
| spl12_2 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f67,f33,f39,f4,f97,f118,f116,f135,f158,f52,f51,f50,f49,f38,f37,f113,f44,f43,f42,f41,f36,f35,f34,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32]) ).
tff(f183,plain,
( ( g2($true) = f2($false) )
| ( $false = bG11 )
| spl12_4 ),
inference(forward_demodulation,[],[f116,f119]) ).
tff(f158,plain,
( ( f2(bG10) = g2($false) )
| spl12_2 ),
inference(superposition,[],[f60,f135]) ).
tff(f118,plain,
( ( $false = bG11 )
| spl12_2 ),
inference(trivial_inequality_removal,[],[f115]) ).
tff(f115,plain,
( ( $true != $true )
| ( $false = bG11 )
| spl12_2 ),
inference(superposition,[],[f67,f4]) ).
tff(f312,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f311]) ).
tff(f311,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43,f42,f41,f36,f35,f308,f73]) ).
tff(f73,plain,
( ~ c
| spl12_3 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f71,plain,
( spl12_3
<=> c ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
tff(f308,plain,
( c
| ~ spl12_4 ),
inference(subsumption_resolution,[],[f34,f77]) ).
tff(f265,plain,
( ( g2($true) = f2($true) )
| ( $false = bG11 )
| ~ spl12_4 ),
inference(forward_demodulation,[],[f116,f77]) ).
tff(f77,plain,
( ( $true = bG10 )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f75]) ).
tff(f191,plain,
( ( g1($true) = f1($false) )
| ( $false = bG7 )
| spl12_3 ),
inference(forward_demodulation,[],[f110,f123]) ).
tff(f123,plain,
( ( $false = bG6 )
| spl12_3 ),
inference(trivial_inequality_removal,[],[f108]) ).
tff(f108,plain,
( ( $true != $true )
| ( $false = bG6 )
| spl12_3 ),
inference(superposition,[],[f90,f4]) ).
tff(f154,plain,
( ( f2(bG8) != g2($false) )
| spl12_3 ),
inference(superposition,[],[f59,f134]) ).
tff(f134,plain,
( ( $false = bG9 )
| spl12_3 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f101,f104,f124,f107,f132,f123,f110,f120,f113]) ).
tff(f146,plain,
( ( f1(bG4) != g1($false) )
| spl12_3 ),
inference(superposition,[],[f57,f132]) ).
tff(f132,plain,
( ( $false = bG5 )
| spl12_3 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f101,f104,f124,f107]) ).
tff(f120,plain,
( ( $false = bG9 )
| spl12_3 ),
inference(trivial_inequality_removal,[],[f112]) ).
tff(f112,plain,
( ( $true != $true )
| ( $false = bG9 )
| spl12_3 ),
inference(superposition,[],[f79,f4]) ).
tff(f124,plain,
( ( $false = bG5 )
| spl12_3 ),
inference(trivial_inequality_removal,[],[f106]) ).
tff(f106,plain,
( ( $true != $true )
| ( $false = bG5 )
| spl12_3 ),
inference(superposition,[],[f91,f4]) ).
tff(f91,plain,
( ( $true != bG5 )
| spl12_3 ),
inference(subsumption_resolution,[],[f44,f73]) ).
tff(f90,plain,
( ( $true != bG6 )
| spl12_3 ),
inference(subsumption_resolution,[],[f42,f73]) ).
tff(f79,plain,
( ( $true != bG9 )
| spl12_3 ),
inference(subsumption_resolution,[],[f36,f73]) ).
tff(f310,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f309]) ).
tff(f309,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43,f42,f41,f36,f35,f308]) ).
tff(f307,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f306]) ).
tff(f306,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43,f42,f41,f36,f35]) ).
tff(f305,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f304]) ).
tff(f304,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f35,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43,f42,f41,f36]) ).
tff(f303,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f302]) ).
tff(f302,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f36,f35,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43,f42,f41]) ).
tff(f301,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f300]) ).
tff(f300,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f41,f36,f35,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43,f42]) ).
tff(f299,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f298]) ).
tff(f298,plain,
( $false
| spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f90,f91,f4,f97,f124,f120,f116,f132,f146,f134,f154,f123,f52,f51,f50,f49,f38,f191,f113,f44,f42,f41,f36,f35,f34,f77,f110,f45,f46,f47,f48,f53,f54,f104,f101,f40,f107,f32,f37,f265,f43]) ).
tff(f297,plain,
( ~ spl12_3
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f296]) ).
tff(f296,plain,
( $false
| ~ spl12_3
| ~ spl12_6 ),
inference(trivial_inequality_removal,[],[f295]) ).
tff(f295,plain,
( ( f1($true) != f1($true) )
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f294,f289]) ).
tff(f289,plain,
( ( $true = bG6 )
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f41,f72]) ).
tff(f72,plain,
( c
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f294,plain,
( ( f1(bG6) != f1($true) )
| ~ spl12_3
| ~ spl12_6 ),
inference(superposition,[],[f292,f275]) ).
tff(f275,plain,
( ( f1(bG6) = g1($true) )
| ~ spl12_6 ),
inference(superposition,[],[f58,f88]) ).
tff(f292,plain,
( ( g1($true) != f1($true) )
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f291,f255]) ).
tff(f291,plain,
( ( f1(bG4) != g1($true) )
| ~ spl12_3 ),
inference(superposition,[],[f57,f290]) ).
tff(f290,plain,
( ( $true = bG5 )
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f43,f72]) ).
tff(f254,plain,
( spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f253]) ).
tff(f253,plain,
( $false
| spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f64,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47,f46,f45,f110]) ).
tff(f221,plain,
( ~ b
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f220]) ).
tff(f220,plain,
( ( $true = $false )
| ~ b
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_demodulation,[],[f37,f211]) ).
tff(f215,plain,
( ! [X0: $o] :
( ( f2($false) != f2((X0)) )
| ( $false = (X0) ) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(superposition,[],[f213,f4]) ).
tff(f213,plain,
( ( f2($false) != f2($true) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(superposition,[],[f209,f211]) ).
tff(f211,plain,
( ( $false = bG8 )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f210]) ).
tff(f210,plain,
( ( f2($true) != f2($true) )
| ( $false = bG8 )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(superposition,[],[f209,f4]) ).
tff(f209,plain,
( ( f2(bG8) != f2($true) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_demodulation,[],[f208,f204]) ).
tff(f208,plain,
( ( f2(bG8) != g2($true) )
| ~ spl12_3 ),
inference(superposition,[],[f59,f207]) ).
tff(f207,plain,
( ( $true = bG9 )
| ~ spl12_3 ),
inference(subsumption_resolution,[],[f35,f72]) ).
tff(f206,plain,
( ! [X0: $o] :
( ( g2((X0)) = f2((X0)) )
| ( $false = (X0) ) )
| ~ spl12_2
| ~ spl12_4 ),
inference(superposition,[],[f204,f4]) ).
tff(f204,plain,
( ( g2($true) = f2($true) )
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_demodulation,[],[f184,f77]) ).
tff(f205,plain,
( ( g2($true) = f2($true) )
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_demodulation,[],[f198,f77]) ).
tff(f252,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(avatar_contradiction_clause,[],[f251]) ).
tff(f251,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(global_subsumption,[],[f83,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47,f46,f45,f110]) ).
tff(f83,plain,
( a
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f82,plain,
( spl12_5
<=> a ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
tff(f250,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f249]) ).
tff(f249,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_6 ),
inference(global_subsumption,[],[f88,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47,f46,f45,f110]) ).
tff(f248,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f247]) ).
tff(f247,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47,f46,f45,f110]) ).
tff(f246,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f245]) ).
tff(f245,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47,f46,f45]) ).
tff(f244,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f243]) ).
tff(f243,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f45,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47,f46]) ).
tff(f242,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f241]) ).
tff(f241,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48,f47]) ).
tff(f240,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f239]) ).
tff(f239,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f47,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53,f48]) ).
tff(f238,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f237]) ).
tff(f237,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f48,f47,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54,f53]) ).
tff(f236,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f235]) ).
tff(f235,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f48,f47,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104,f54]) ).
tff(f234,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f233]) ).
tff(f233,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101,f104]) ).
tff(f232,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f231]) ).
tff(f231,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f104,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40,f101]) ).
tff(f230,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f229]) ).
tff(f229,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f101,f104,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107,f40]) ).
tff(f228,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f227]) ).
tff(f227,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f40,f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f101,f104,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224,f107]) ).
tff(f226,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f225]) ).
tff(f225,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f40,f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f101,f104,f107,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221,f224]) ).
tff(f223,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f222]) ).
tff(f222,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(global_subsumption,[],[f40,f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f4,f97,f101,f104,f107,f116,f52,f51,f50,f49,f38,f37,f32,f68,f110,f113,f44,f43,f42,f41,f36,f35,f184,f198,f34,f72,f77,f205,f204,f206,f207,f209,f211,f213,f215,f221]) ).
tff(f219,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f218]) ).
tff(f218,plain,
( $false
| ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f217]) ).
tff(f217,plain,
( ( $true = $false )
| ~ spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_demodulation,[],[f216,f211]) ).
tff(f216,plain,
( ( $true = bG8 )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f37,f63]) ).
tff(f194,plain,
( spl12_5
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f193]) ).
tff(f193,plain,
( $false
| spl12_5
| ~ spl12_6 ),
inference(global_subsumption,[],[f34,f36,f35,f40,f42,f41,f44,f43,f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f84,f92,f93,f96,f4,f97,f101,f126,f104,f107,f110,f113,f116,f131,f125,f129,f182,f52,f51,f50,f49,f38,f37,f32,f142,f192,f88]) ).
tff(f192,plain,
( ( $true != bG7 )
| spl12_5 ),
inference(subsumption_resolution,[],[f40,f84]) ).
tff(f142,plain,
( ( f(bG2) = g($false) )
| spl12_5 ),
inference(superposition,[],[f56,f131]) ).
tff(f182,plain,
( ( g($true) != f($false) )
| ( $false = bG1 )
| spl12_5 ),
inference(forward_demodulation,[],[f101,f129]) ).
tff(f129,plain,
( ( $false = bG0 )
| spl12_5 ),
inference(trivial_inequality_removal,[],[f99]) ).
tff(f99,plain,
( ( $true != $true )
| ( $false = bG0 )
| spl12_5 ),
inference(superposition,[],[f96,f4]) ).
tff(f125,plain,
( ( $false = bG4 )
| spl12_5 ),
inference(trivial_inequality_removal,[],[f105]) ).
tff(f105,plain,
( ( $true != $true )
| ( $false = bG4 )
| spl12_5 ),
inference(superposition,[],[f92,f4]) ).
tff(f131,plain,
( ( $false = bG3 )
| spl12_5 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f84,f92,f93,f96,f4,f97,f129,f101,f126,f104]) ).
tff(f126,plain,
( ( $false = bG3 )
| spl12_5 ),
inference(trivial_inequality_removal,[],[f103]) ).
tff(f103,plain,
( ( $true != $true )
| ( $false = bG3 )
| spl12_5 ),
inference(superposition,[],[f93,f4]) ).
tff(f96,plain,
( ( $true != bG0 )
| spl12_5 ),
inference(subsumption_resolution,[],[f54,f84]) ).
tff(f93,plain,
( ( $true != bG3 )
| spl12_5 ),
inference(subsumption_resolution,[],[f48,f84]) ).
tff(f92,plain,
( ( $true != bG4 )
| spl12_5 ),
inference(subsumption_resolution,[],[f46,f84]) ).
tff(f84,plain,
( ~ a
| spl12_5 ),
inference(avatar_component_clause,[],[f82]) ).
tff(f190,plain,
( spl12_3
| spl12_5
| spl12_6 ),
inference(avatar_contradiction_clause,[],[f189]) ).
tff(f189,plain,
( $false
| spl12_3
| spl12_5
| spl12_6 ),
inference(global_subsumption,[],[f34,f36,f35,f40,f42,f41,f44,f43,f46,f45,f48,f47,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f73,f79,f39,f84,f87,f90,f91,f92,f93,f96,f4,f97,f101,f126,f104,f124,f107,f122,f110,f120,f113,f116,f131,f132,f146,f133,f150,f134,f154,f123,f125,f129,f182,f52,f51,f50,f49,f38,f37,f32,f142,f187,f188]) ).
tff(f188,plain,
( ( g1($false) = f1($false) )
| spl12_3
| spl12_6 ),
inference(forward_demodulation,[],[f150,f123]) ).
tff(f187,plain,
( ( g1($false) != f1($false) )
| spl12_3
| spl12_5 ),
inference(forward_demodulation,[],[f146,f125]) ).
tff(f150,plain,
( ( f1(bG6) = g1($false) )
| spl12_6 ),
inference(superposition,[],[f58,f133]) ).
tff(f133,plain,
( ( $false = bG7 )
| spl12_6 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f33,f39,f87,f4,f97,f101,f104,f107,f122,f110]) ).
tff(f122,plain,
( ( $false = bG7 )
| spl12_6 ),
inference(trivial_inequality_removal,[],[f109]) ).
tff(f109,plain,
( ( $true != $true )
| ( $false = bG7 )
| spl12_6 ),
inference(superposition,[],[f87,f4]) ).
tff(f87,plain,
( ( $true != bG7 )
| spl12_6 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f181,plain,
( spl12_1
| spl12_5 ),
inference(avatar_contradiction_clause,[],[f180]) ).
tff(f180,plain,
( $false
| spl12_1
| spl12_5 ),
inference(global_subsumption,[],[f32,f34,f36,f35,f38,f37,f40,f42,f41,f44,f43,f46,f45,f48,f47,f50,f49,f52,f51,f54,f53,f3,f55,f56,f57,f58,f59,f60,f31,f64,f33,f80,f39,f84,f92,f93,f94,f95,f96,f4,f97,f128,f101,f126,f104,f107,f110,f113,f116,f130,f138,f131,f142,f121,f125,f127,f129,f178,f179]) ).
tff(f179,plain,
( ( g($false) = f($false) )
| spl12_1
| spl12_5 ),
inference(forward_demodulation,[],[f142,f127]) ).
tff(f178,plain,
( ( g($false) != f($false) )
| spl12_1
| spl12_5 ),
inference(forward_demodulation,[],[f138,f129]) ).
tff(f89,plain,
( ~ spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f39,f86,f82]) ).
tff(f78,plain,
( ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f33,f75,f71]) ).
tff(f69,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f31,f66,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO499_8 : TPTP v8.2.0. Released v8.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.38 % Computer : n017.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon May 20 10:15:08 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % (31194)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (31197)WARNING: value z3 for option sas not known
% 0.15/0.40 % (31195)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (31196)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (31198)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (31197)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40 % (31199)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40 % (31200)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40 % (31201)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40 Detected minimum model sizes of [1,1]
% 0.15/0.40 Detected maximum model sizes of [max,14]
% 0.15/0.40 TRYING [1,1]
% 0.15/0.40 TRYING [1,2]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2,2]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3,2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [2,3]
% 0.15/0.40 TRYING [3,3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [2,4]
% 0.15/0.40 TRYING [3,4]
% 0.15/0.41 TRYING [2,5]
% 0.15/0.41 TRYING [3,5]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [2,6]
% 0.15/0.41 % (31197)First to succeed.
% 0.15/0.41 TRYING [3,6]
% 0.15/0.41 TRYING [2,7]
% 0.15/0.41 TRYING [3,7]
% 0.15/0.41 % (31199)Also succeeded, but the first one will report.
% 0.15/0.41 % (31197)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31194"
% 0.15/0.41 TRYING [2,8]
% 0.15/0.41 % (31197)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42 % (31197)------------------------------
% 0.15/0.42 % (31197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.42 % (31197)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (31197)Memory used [KB]: 881
% 0.15/0.42 % (31197)Time elapsed: 0.018 s
% 0.15/0.42 % (31197)Instructions burned: 27 (million)
% 0.15/0.42 % (31194)Success in time 0.035 s
%------------------------------------------------------------------------------