TSTP Solution File: ALG066+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 15:39:20 EDT 2022
% Result : Theorem 2.54s 0.79s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 190
% Syntax : Number of formulae : 396 ( 35 unt; 0 def)
% Number of atoms : 3028 (2282 equ)
% Maximal formula atoms : 425 ( 7 avg)
% Number of connectives : 4241 (1609 ~;1204 |;1374 &)
% ( 54 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 186 ( 184 usr; 185 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3950,plain,
$false,
inference(avatar_sat_refutation,[],[f2001,f2034,f2055,f2092,f2099,f2110,f2119,f2126,f2132,f2137,f2150,f2209,f2259,f2268,f2286,f2288,f2306,f2320,f2353,f2354,f2357,f2579,f2594,f2621,f2690,f2736,f2741,f2808,f2891,f2995,f3046,f3065,f3180,f3248,f3255,f3293,f3310,f3336,f3416,f3421,f3433,f3442,f3470,f3497,f3601,f3637,f3659,f3665,f3683,f3693,f3752,f3789,f3820,f3866,f3872]) ).
fof(f3872,plain,
( ~ spl130_160
| ~ spl130_188 ),
inference(avatar_split_clause,[],[f3871,f1740,f1597]) ).
fof(f1597,plain,
( spl130_160
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_160])]) ).
fof(f1740,plain,
( spl130_188
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_188])]) ).
fof(f3871,plain,
( e2 != op(e0,e2)
| ~ spl130_188 ),
inference(forward_demodulation,[],[f762,f1741]) ).
fof(f1741,plain,
( e2 = op(e3,e2)
| ~ spl130_188 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f762,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e0) != op(e4,e3)
& op(e3,e1) != op(e3,e4)
& op(e0,e4) != op(e3,e4)
& op(e1,e1) != op(e2,e1)
& op(e1,e0) != op(e4,e0)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e2,e3)
& op(e1,e0) != op(e1,e3)
& op(e4,e3) != op(e4,e4)
& op(e1,e1) != op(e3,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e4) != op(e3,e4)
& op(e0,e3) != op(e1,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e1,e4)
& op(e3,e2) != op(e4,e2)
& op(e1,e4) != op(e4,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e4) != op(e3,e4)
& op(e0,e2) != op(e4,e2)
& op(e0,e1) != op(e0,e3)
& op(e3,e0) != op(e4,e0)
& op(e1,e3) != op(e3,e3)
& op(e1,e0) != op(e1,e4)
& op(e2,e1) != op(e3,e1)
& op(e0,e4) != op(e2,e4)
& op(e1,e1) != op(e4,e1)
& op(e2,e3) != op(e4,e3)
& op(e0,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e4)
& op(e3,e0) != op(e3,e3)
& op(e0,e1) != op(e4,e1)
& op(e1,e2) != op(e1,e3)
& op(e0,e3) != op(e3,e3)
& op(e4,e1) != op(e4,e4)
& op(e0,e3) != op(e4,e3)
& op(e4,e1) != op(e4,e3)
& op(e0,e1) != op(e0,e2)
& op(e4,e2) != op(e4,e4)
& op(e2,e1) != op(e2,e4)
& op(e3,e1) != op(e4,e1)
& op(e0,e0) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e0) != op(e1,e0)
& op(e3,e0) != op(e3,e1)
& op(e1,e3) != op(e4,e3)
& op(e2,e2) != op(e2,e4)
& op(e4,e1) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e3,e4) != op(e4,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e1) != op(e3,e3)
& op(e0,e0) != op(e0,e2)
& op(e1,e1) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e3,e0) != op(e3,e2)
& op(e0,e4) != op(e4,e4)
& op(e2,e1) != op(e4,e1)
& op(e2,e0) != op(e2,e4)
& op(e0,e2) != op(e2,e2)
& op(e3,e3) != op(e3,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e4,e2)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e3,e2) != op(e3,e3)
& op(e2,e2) != op(e3,e2)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e2) != op(e3,e4)
& op(e4,e0) != op(e4,e4)
& op(e1,e0) != op(e2,e0)
& op(e2,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e2,e3) != op(e2,e4)
& op(e0,e0) != op(e0,e4)
& op(e3,e0) != op(e3,e4)
& op(e1,e0) != op(e3,e0)
& op(e1,e3) != op(e1,e4)
& op(e3,e1) != op(e3,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e1,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e3) != op(e3,e3)
& op(e1,e4) != op(e2,e4)
& op(e0,e1) != op(e2,e1)
& op(e2,e1) != op(e2,e2)
& op(e0,e0) != op(e2,e0)
& op(e0,e2) != op(e1,e2)
& op(e4,e0) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e1) != op(e2,e3)
& op(e4,e2) != op(e4,e3)
& op(e2,e0) != op(e2,e3)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f3866,plain,
( spl130_6
| ~ spl130_70 ),
inference(avatar_contradiction_clause,[],[f3865]) ).
fof(f3865,plain,
( $false
| spl130_6
| ~ spl130_70 ),
inference(subsumption_resolution,[],[f3864,f894]) ).
fof(f894,plain,
( e1 != op(e1,e3)
| spl130_6 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl130_6
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_6])]) ).
fof(f3864,plain,
( e1 = op(e1,e3)
| ~ spl130_70 ),
inference(forward_demodulation,[],[f274,f1175]) ).
fof(f1175,plain,
( e3 = unit
| ~ spl130_70 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1174,plain,
( spl130_70
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_70])]) ).
fof(f274,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(unit,e1)
& e3 = op(unit,e3)
& e2 = op(unit,e2)
& e0 = op(unit,e0)
& e4 = op(unit,e4)
& ( e3 = unit
| e1 = unit
| e4 = unit
| e2 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e1 = op(e1,unit)
& e2 = op(e2,unit)
& e4 = op(e4,unit)
& e0 = op(e0,unit) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3820,plain,
( ~ spl130_48
| ~ spl130_236 ),
inference(avatar_contradiction_clause,[],[f3819]) ).
fof(f3819,plain,
( $false
| ~ spl130_48
| ~ spl130_236 ),
inference(subsumption_resolution,[],[f3818,f334]) ).
fof(f334,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e2 != e3
& e0 != e4
& e1 != e4
& e0 != e2
& e0 != e3
& e0 != e1
& e2 != e4
& e1 != e2
& e3 != e4
& e1 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3818,plain,
( e1 = e2
| ~ spl130_48
| ~ spl130_236 ),
inference(forward_demodulation,[],[f1079,f2008]) ).
fof(f2008,plain,
( e1 = op(e3,e4)
| ~ spl130_236 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2007,plain,
( spl130_236
<=> e1 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_236])]) ).
fof(f1079,plain,
( e2 = op(e3,e4)
| ~ spl130_48 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1077,plain,
( spl130_48
<=> e2 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_48])]) ).
fof(f3789,plain,
( ~ spl130_113
| ~ spl130_72 ),
inference(avatar_split_clause,[],[f3788,f1183,f1368]) ).
fof(f1368,plain,
( spl130_113
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_113])]) ).
fof(f1183,plain,
( spl130_72
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_72])]) ).
fof(f3788,plain,
( e4 != op(e1,e4)
| ~ spl130_72 ),
inference(forward_demodulation,[],[f794,f1185]) ).
fof(f1185,plain,
( e4 = op(e0,e4)
| ~ spl130_72 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f794,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3752,plain,
( ~ spl130_169
| ~ spl130_212 ),
inference(avatar_contradiction_clause,[],[f3751]) ).
fof(f3751,plain,
( $false
| ~ spl130_169
| ~ spl130_212 ),
inference(subsumption_resolution,[],[f3750,f1871]) ).
fof(f1871,plain,
( e3 = op(e0,e3)
| ~ spl130_212 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1869,plain,
( spl130_212
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_212])]) ).
fof(f3750,plain,
( e3 != op(e0,e3)
| ~ spl130_169 ),
inference(forward_demodulation,[],[f833,f1641]) ).
fof(f1641,plain,
( e3 = op(e1,e3)
| ~ spl130_169 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1640,plain,
( spl130_169
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_169])]) ).
fof(f833,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3693,plain,
( ~ spl130_209
| ~ spl130_236 ),
inference(avatar_split_clause,[],[f3692,f2007,f1849]) ).
fof(f1849,plain,
( spl130_209
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_209])]) ).
fof(f3692,plain,
( e1 != op(e3,e3)
| ~ spl130_236 ),
inference(forward_demodulation,[],[f784,f2008]) ).
fof(f784,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3683,plain,
( ~ spl130_228
| ~ spl130_86 ),
inference(avatar_split_clause,[],[f3038,f1244,f1954]) ).
fof(f1954,plain,
( spl130_228
<=> e3 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_228])]) ).
fof(f1244,plain,
( spl130_86
<=> e3 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_86])]) ).
fof(f3038,plain,
( e3 != op(e1,e4)
| ~ spl130_86 ),
inference(forward_demodulation,[],[f758,f1246]) ).
fof(f1246,plain,
( e3 = op(e2,e4)
| ~ spl130_86 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f758,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3665,plain,
( ~ spl130_27
| ~ spl130_126 ),
inference(avatar_split_clause,[],[f3664,f1429,f984]) ).
fof(f984,plain,
( spl130_27
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_27])]) ).
fof(f1429,plain,
( spl130_126
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_126])]) ).
fof(f3664,plain,
( e3 != op(e3,e2)
| ~ spl130_126 ),
inference(forward_demodulation,[],[f789,f1431]) ).
fof(f1431,plain,
( e3 = op(e3,e0)
| ~ spl130_126 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f789,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3659,plain,
( ~ spl130_233
| ~ spl130_234 ),
inference(avatar_split_clause,[],[f3658,f1998,f1990]) ).
fof(f1990,plain,
( spl130_233
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_233])]) ).
fof(f1998,plain,
( spl130_234
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_234])]) ).
fof(f3658,plain,
( e1 != op(e1,e4)
| ~ spl130_234 ),
inference(forward_demodulation,[],[f821,f2000]) ).
fof(f2000,plain,
( e1 = op(e1,e0)
| ~ spl130_234 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f821,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3637,plain,
( ~ spl130_98
| ~ spl130_242 ),
inference(avatar_contradiction_clause,[],[f3636]) ).
fof(f3636,plain,
( $false
| ~ spl130_98
| ~ spl130_242 ),
inference(subsumption_resolution,[],[f3635,f335]) ).
fof(f335,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3635,plain,
( e2 = e4
| ~ spl130_98
| ~ spl130_242 ),
inference(forward_demodulation,[],[f2049,f1301]) ).
fof(f1301,plain,
( e2 = op(e1,e3)
| ~ spl130_98 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1299,plain,
( spl130_98
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_98])]) ).
fof(f2049,plain,
( e4 = op(e1,e3)
| ~ spl130_242 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f2048,plain,
( spl130_242
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_242])]) ).
fof(f3601,plain,
( ~ spl130_213
| ~ spl130_244 ),
inference(avatar_contradiction_clause,[],[f3600]) ).
fof(f3600,plain,
( $false
| ~ spl130_213
| ~ spl130_244 ),
inference(subsumption_resolution,[],[f3599,f2070]) ).
fof(f2070,plain,
( e1 = op(e0,e1)
| ~ spl130_244 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f2068,plain,
( spl130_244
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_244])]) ).
fof(f3599,plain,
( e1 != op(e0,e1)
| ~ spl130_213 ),
inference(forward_demodulation,[],[f824,f1875]) ).
fof(f1875,plain,
( e1 = op(e0,e3)
| ~ spl130_213 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f1873,plain,
( spl130_213
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_213])]) ).
fof(f824,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3497,plain,
( spl130_72
| ~ spl130_22 ),
inference(avatar_split_clause,[],[f3413,f963,f1183]) ).
fof(f963,plain,
( spl130_22
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_22])]) ).
fof(f3413,plain,
( e4 = op(e0,e4)
| ~ spl130_22 ),
inference(forward_demodulation,[],[f277,f964]) ).
fof(f964,plain,
( e0 = unit
| ~ spl130_22 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f277,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3470,plain,
( spl130_244
| ~ spl130_22 ),
inference(avatar_split_clause,[],[f3315,f963,f2068]) ).
fof(f3315,plain,
( e1 = op(e0,e1)
| ~ spl130_22 ),
inference(forward_demodulation,[],[f281,f964]) ).
fof(f281,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3442,plain,
( ~ spl130_28
| ~ spl130_191 ),
inference(avatar_contradiction_clause,[],[f3441]) ).
fof(f3441,plain,
( $false
| ~ spl130_28
| ~ spl130_191 ),
inference(subsumption_resolution,[],[f3440,f333]) ).
fof(f333,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3440,plain,
( e3 = e4
| ~ spl130_28
| ~ spl130_191 ),
inference(backward_demodulation,[],[f1759,f990]) ).
fof(f990,plain,
( e3 = op(e1,e2)
| ~ spl130_28 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl130_28
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_28])]) ).
fof(f1759,plain,
( e4 = op(e1,e2)
| ~ spl130_191 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1758,plain,
( spl130_191
<=> e4 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_191])]) ).
fof(f3433,plain,
( ~ spl130_22
| ~ spl130_223 ),
inference(avatar_contradiction_clause,[],[f3432]) ).
fof(f3432,plain,
( $false
| ~ spl130_22
| ~ spl130_223 ),
inference(subsumption_resolution,[],[f3431,f341]) ).
fof(f341,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3431,plain,
( e2 = e3
| ~ spl130_22
| ~ spl130_223 ),
inference(forward_demodulation,[],[f3253,f1928]) ).
fof(f1928,plain,
( e2 = op(e3,e0)
| ~ spl130_223 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f1926,plain,
( spl130_223
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_223])]) ).
fof(f3253,plain,
( e3 = op(e3,e0)
| ~ spl130_22 ),
inference(forward_demodulation,[],[f275,f964]) ).
fof(f275,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3421,plain,
( ~ spl130_136
| ~ spl130_220 ),
inference(avatar_contradiction_clause,[],[f3420]) ).
fof(f3420,plain,
( $false
| ~ spl130_136
| ~ spl130_220 ),
inference(subsumption_resolution,[],[f3419,f340]) ).
fof(f340,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3419,plain,
( e0 = e4
| ~ spl130_136
| ~ spl130_220 ),
inference(forward_demodulation,[],[f1476,f1912]) ).
fof(f1912,plain,
( e0 = op(e1,e1)
| ~ spl130_220 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1910,plain,
( spl130_220
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_220])]) ).
fof(f1476,plain,
( e4 = op(e1,e1)
| ~ spl130_136 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1474,plain,
( spl130_136
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_136])]) ).
fof(f3416,plain,
( ~ spl130_22
| ~ spl130_154 ),
inference(avatar_contradiction_clause,[],[f3415]) ).
fof(f3415,plain,
( $false
| ~ spl130_22
| ~ spl130_154 ),
inference(subsumption_resolution,[],[f3414,f339]) ).
fof(f339,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3414,plain,
( e1 = e4
| ~ spl130_22
| ~ spl130_154 ),
inference(forward_demodulation,[],[f3413,f1569]) ).
fof(f1569,plain,
( e1 = op(e0,e4)
| ~ spl130_154 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1567,plain,
( spl130_154
<=> e1 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_154])]) ).
fof(f3336,plain,
( ~ spl130_3
| ~ spl130_162 ),
inference(avatar_contradiction_clause,[],[f3335]) ).
fof(f3335,plain,
( $false
| ~ spl130_3
| ~ spl130_162 ),
inference(subsumption_resolution,[],[f3334,f1608]) ).
fof(f1608,plain,
( e1 = op(e4,e2)
| ~ spl130_162 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f1606,plain,
( spl130_162
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_162])]) ).
fof(f3334,plain,
( e1 != op(e4,e2)
| ~ spl130_3 ),
inference(forward_demodulation,[],[f749,f882]) ).
fof(f882,plain,
( e1 = op(e4,e3)
| ~ spl130_3 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl130_3
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_3])]) ).
fof(f749,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3310,plain,
( spl130_160
| ~ spl130_22 ),
inference(avatar_split_clause,[],[f3309,f963,f1597]) ).
fof(f3309,plain,
( e2 = op(e0,e2)
| ~ spl130_22 ),
inference(forward_demodulation,[],[f279,f964]) ).
fof(f279,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f3293,plain,
( ~ spl130_6
| ~ spl130_234 ),
inference(avatar_split_clause,[],[f3292,f1998,f893]) ).
fof(f3292,plain,
( e1 != op(e1,e3)
| ~ spl130_234 ),
inference(forward_demodulation,[],[f838,f2000]) ).
fof(f838,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3255,plain,
( ~ spl130_22
| spl130_126 ),
inference(avatar_contradiction_clause,[],[f3254]) ).
fof(f3254,plain,
( $false
| ~ spl130_22
| spl130_126 ),
inference(subsumption_resolution,[],[f3253,f1430]) ).
fof(f1430,plain,
( e3 != op(e3,e0)
| spl130_126 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f3248,plain,
( spl130_212
| ~ spl130_22 ),
inference(avatar_split_clause,[],[f3247,f963,f1869]) ).
fof(f3247,plain,
( e3 = op(e0,e3)
| ~ spl130_22 ),
inference(forward_demodulation,[],[f280,f964]) ).
fof(f280,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3180,plain,
( ~ spl130_32
| ~ spl130_234 ),
inference(avatar_contradiction_clause,[],[f3179]) ).
fof(f3179,plain,
( $false
| ~ spl130_32
| ~ spl130_234 ),
inference(subsumption_resolution,[],[f3178,f332]) ).
fof(f332,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3178,plain,
( e1 = e3
| ~ spl130_32
| ~ spl130_234 ),
inference(forward_demodulation,[],[f1008,f2000]) ).
fof(f1008,plain,
( e3 = op(e1,e0)
| ~ spl130_32 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl130_32
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_32])]) ).
fof(f3065,plain,
( ~ spl130_92
| ~ spl130_234 ),
inference(avatar_contradiction_clause,[],[f3064]) ).
fof(f3064,plain,
( $false
| ~ spl130_92
| ~ spl130_234 ),
inference(subsumption_resolution,[],[f3063,f339]) ).
fof(f3063,plain,
( e1 = e4
| ~ spl130_92
| ~ spl130_234 ),
inference(forward_demodulation,[],[f1273,f2000]) ).
fof(f1273,plain,
( e4 = op(e1,e0)
| ~ spl130_92 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1272,plain,
( spl130_92
<=> e4 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_92])]) ).
fof(f3046,plain,
( ~ spl130_186
| ~ spl130_86 ),
inference(avatar_split_clause,[],[f3045,f1244,f1731]) ).
fof(f1731,plain,
( spl130_186
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_186])]) ).
fof(f3045,plain,
( e3 != op(e2,e1)
| ~ spl130_86 ),
inference(forward_demodulation,[],[f805,f1246]) ).
fof(f805,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2995,plain,
( ~ spl130_63
| ~ spl130_86 ),
inference(avatar_contradiction_clause,[],[f2994]) ).
fof(f2994,plain,
( $false
| ~ spl130_63
| ~ spl130_86 ),
inference(subsumption_resolution,[],[f2993,f333]) ).
fof(f2993,plain,
( e3 = e4
| ~ spl130_63
| ~ spl130_86 ),
inference(forward_demodulation,[],[f2992,f1246]) ).
fof(f2992,plain,
( e4 = op(e2,e4)
| ~ spl130_63 ),
inference(forward_demodulation,[],[f277,f1143]) ).
fof(f1143,plain,
( e2 = unit
| ~ spl130_63 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1142,plain,
( spl130_63
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_63])]) ).
fof(f2891,plain,
( ~ spl130_9
| ~ spl130_162 ),
inference(avatar_split_clause,[],[f2647,f1606,f906]) ).
fof(f906,plain,
( spl130_9
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_9])]) ).
fof(f2647,plain,
( e1 != op(e3,e2)
| ~ spl130_162 ),
inference(forward_demodulation,[],[f829,f1608]) ).
fof(f829,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2808,plain,
( ~ spl130_45
| ~ spl130_220 ),
inference(avatar_contradiction_clause,[],[f2807]) ).
fof(f2807,plain,
( $false
| ~ spl130_45
| ~ spl130_220 ),
inference(subsumption_resolution,[],[f2806,f336]) ).
fof(f336,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f2806,plain,
( e0 = e1
| ~ spl130_45
| ~ spl130_220 ),
inference(forward_demodulation,[],[f2789,f1912]) ).
fof(f2789,plain,
( e1 = op(e1,e1)
| ~ spl130_45 ),
inference(backward_demodulation,[],[f281,f1065]) ).
fof(f1065,plain,
( e1 = unit
| ~ spl130_45 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1064,plain,
( spl130_45
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_45])]) ).
fof(f2741,plain,
( ~ spl130_7
| ~ spl130_220 ),
inference(avatar_contradiction_clause,[],[f2740]) ).
fof(f2740,plain,
( $false
| ~ spl130_7
| ~ spl130_220 ),
inference(subsumption_resolution,[],[f2739,f337]) ).
fof(f337,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2739,plain,
( e0 = e3
| ~ spl130_7
| ~ spl130_220 ),
inference(backward_demodulation,[],[f898,f1912]) ).
fof(f898,plain,
( e3 = op(e1,e1)
| ~ spl130_7 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f897,plain,
( spl130_7
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_7])]) ).
fof(f2736,plain,
( spl130_220
| ~ spl130_162 ),
inference(avatar_split_clause,[],[f2614,f1606,f1910]) ).
fof(f2614,plain,
( e0 = op(e1,e1)
| ~ spl130_162 ),
inference(backward_demodulation,[],[f745,f1608]) ).
fof(f745,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f2690,plain,
( ~ spl130_86
| ~ spl130_96 ),
inference(avatar_split_clause,[],[f2689,f1290,f1244]) ).
fof(f1290,plain,
( spl130_96
<=> e3 = op(e3,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_96])]) ).
fof(f2689,plain,
( e3 != op(e2,e4)
| ~ spl130_96 ),
inference(forward_demodulation,[],[f834,f1292]) ).
fof(f1292,plain,
( e3 = op(e3,e4)
| ~ spl130_96 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f834,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2621,plain,
( ~ spl130_163
| ~ spl130_162 ),
inference(avatar_split_clause,[],[f2617,f1606,f1610]) ).
fof(f1610,plain,
( spl130_163
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_163])]) ).
fof(f2617,plain,
( e1 != op(e4,e4)
| ~ spl130_162 ),
inference(backward_demodulation,[],[f806,f1608]) ).
fof(f806,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2594,plain,
( ~ spl130_86
| ~ spl130_117 ),
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f2593,plain,
( $false
| ~ spl130_86
| ~ spl130_117 ),
inference(subsumption_resolution,[],[f2592,f332]) ).
fof(f2592,plain,
( e1 = e3
| ~ spl130_86
| ~ spl130_117 ),
inference(forward_demodulation,[],[f1246,f1387]) ).
fof(f1387,plain,
( e1 = op(e2,e4)
| ~ spl130_117 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl130_117
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_117])]) ).
fof(f2579,plain,
( spl130_96
| ~ spl130_40 ),
inference(avatar_split_clause,[],[f2563,f1042,f1290]) ).
fof(f1042,plain,
( spl130_40
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl130_40])]) ).
fof(f2563,plain,
( e3 = op(e3,e4)
| ~ spl130_40 ),
inference(backward_demodulation,[],[f275,f1043]) ).
fof(f1043,plain,
( e4 = unit
| ~ spl130_40 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f2357,plain,
( spl130_186
| ~ spl130_165
| ~ spl130_253 ),
inference(avatar_split_clause,[],[f543,f2171,f1620,f1731]) ).
fof(f1620,plain,
( spl130_165
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_165])]) ).
fof(f2171,plain,
( spl130_253
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_253])]) ).
fof(f543,plain,
( ~ sP86
| e1 != op(e2,e3)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP86 ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3)
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f2354,plain,
spl130_86,
inference(avatar_split_clause,[],[f743,f1244]) ).
fof(f743,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f2353,plain,
( spl130_40
| spl130_45
| spl130_22
| spl130_70
| spl130_63 ),
inference(avatar_split_clause,[],[f276,f1142,f1174,f963,f1064,f1042]) ).
fof(f276,plain,
( e2 = unit
| e3 = unit
| e0 = unit
| e1 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f2320,plain,
( ~ spl130_21
| spl130_253 ),
inference(avatar_split_clause,[],[f378,f2171,f958]) ).
fof(f958,plain,
( spl130_21
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_21])]) ).
fof(f378,plain,
( sP86
| ~ sP128 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f2306,plain,
( ~ spl130_22
| ~ spl130_247
| ~ spl130_220 ),
inference(avatar_split_clause,[],[f579,f1910,f2107,f963]) ).
fof(f2107,plain,
( spl130_247
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_247])]) ).
fof(f579,plain,
( e0 != op(e1,e1)
| ~ sP68
| e0 != unit ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e1 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e1)
| ~ sP68 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e1 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e1)
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f2288,plain,
( spl130_154
| spl130_163
| spl130_236
| spl130_233
| spl130_117 ),
inference(avatar_split_clause,[],[f286,f1385,f1990,f2007,f1610,f1567]) ).
fof(f286,plain,
( e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e4,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e4,e0)
| e3 = op(e1,e0) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0) )
& ( e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4)
| e2 = op(e3,e4)
| e2 = op(e4,e4) )
& ( e0 = op(e0,e3)
| e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e0,e1)
| e3 = op(e0,e2)
| op(e0,e0) = e3
| e3 = op(e0,e4)
| e3 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e4)
| e1 = op(e3,e0) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e4) )
& ( e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4)
| e4 = op(e4,e4) )
& ( e4 = op(e4,e1)
| e4 = op(e4,e2)
| e4 = op(e4,e3)
| e4 = op(e4,e4)
| e4 = op(e4,e0) )
& ( op(e0,e0) = e2
| e2 = op(e3,e0)
| e2 = op(e4,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0) )
& ( e4 = op(e3,e0)
| e4 = op(e3,e1)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e4) )
& ( e0 = op(e0,e0)
| e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e4)
| e0 = op(e0,e3) )
& ( e1 = op(e1,e0)
| e1 = op(e2,e0)
| op(e0,e0) = e1
| e1 = op(e4,e0)
| e1 = op(e3,e0) )
& ( e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e4,e0) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e2)
| e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1) )
& ( e1 = op(e0,e4)
| op(e0,e0) = e1
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| e1 = op(e0,e2) )
& ( e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e3)
| e2 = op(e4,e0)
| e2 = op(e4,e4) )
& ( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e3)
| e3 = op(e1,e4)
| e3 = op(e1,e2) )
& ( op(e0,e0) = e4
| e4 = op(e0,e4)
| e4 = op(e0,e2)
| e4 = op(e0,e3)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e3)
| e4 = op(e1,e1)
| e4 = op(e1,e2)
| e4 = op(e1,e4)
| e4 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e4) )
& ( e1 = op(e4,e2)
| e1 = op(e4,e3)
| e1 = op(e4,e4)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e1,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e0) )
& ( e4 = op(e1,e0)
| e4 = op(e3,e0)
| op(e0,e0) = e4
| e4 = op(e4,e0)
| e4 = op(e2,e0) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e3)
| e4 = op(e2,e0) )
& ( e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e0,e4)
| e3 = op(e1,e4)
| e3 = op(e4,e4) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e2) )
& ( e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e4)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| e0 = op(e1,e2) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& ( e1 = op(e2,e2)
| e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e4,e2) )
& ( e1 = op(e4,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3) )
& ( e3 = op(e4,e2)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e4)
| e3 = op(e4,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e1,e4)
| e0 = op(e2,e4)
| e0 = op(e4,e4)
| e0 = op(e3,e4) )
& ( e0 = op(e4,e0)
| e0 = op(e4,e1)
| e0 = op(e4,e2)
| e0 = op(e4,e3)
| e0 = op(e4,e4) )
& ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e4,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) )
& ( e0 = op(e1,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e4,e2)
| e0 = op(e0,e2) )
& ( e1 = op(e1,e1)
| e1 = op(e3,e1)
| e1 = op(e4,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1) )
& ( e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e4,e3)
| e4 = op(e0,e3)
| e4 = op(e1,e3) )
& ( e0 = op(e2,e0)
| e0 = op(e2,e2)
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e4) )
& ( e3 = op(e2,e3)
| e3 = op(e4,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e4 = op(e0,e2)
| e4 = op(e1,e2)
| e4 = op(e2,e2)
| e4 = op(e4,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e0,e4)
| e1 = op(e3,e4)
| e1 = op(e4,e4)
| e1 = op(e1,e4) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1) )
& ( e3 = op(e4,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e4,e1)
| e2 = op(e1,e1) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e3)
| op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2286,plain,
( spl130_100
| spl130_188
| spl130_10
| spl130_223
| spl130_48 ),
inference(avatar_split_clause,[],[f285,f1077,f1926,f910,f1740,f1307]) ).
fof(f1307,plain,
( spl130_100
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_100])]) ).
fof(f910,plain,
( spl130_10
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl130_10])]) ).
fof(f285,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2268,plain,
( ~ spl130_28
| spl130_98
| ~ spl130_241 ),
inference(avatar_split_clause,[],[f472,f2043,f1299,f988]) ).
fof(f2043,plain,
( spl130_241
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_241])]) ).
fof(f472,plain,
( ~ sP122
| e2 = op(e1,e3)
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2)
| ~ sP122 ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2)
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f2259,plain,
( ~ spl130_64
| spl130_9
| ~ spl130_10 ),
inference(avatar_split_clause,[],[f669,f910,f906,f1146]) ).
fof(f1146,plain,
( spl130_64
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_64])]) ).
fof(f669,plain,
( e2 != op(e3,e1)
| e1 = op(e3,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1)
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2209,plain,
( spl130_113
| spl130_242
| spl130_92
| spl130_136
| spl130_191 ),
inference(avatar_split_clause,[],[f311,f1758,f1474,f1272,f2048,f1368]) ).
fof(f311,plain,
( e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0)
| e4 = op(e1,e3)
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2150,plain,
( spl130_228
| spl130_32
| spl130_169
| spl130_28
| spl130_7 ),
inference(avatar_split_clause,[],[f313,f897,f988,f1640,f1006,f1954]) ).
fof(f313,plain,
( e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2137,plain,
( spl130_27
| ~ spl130_100 ),
inference(avatar_split_clause,[],[f726,f1307,f984]) ).
fof(f726,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( sP129
| sP128
| sP127
| sP126
| sP125 )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) ),
inference(definition_folding,[],[f9,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0)
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1)
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( e2 != op(e3,e3)
| ( e3 = op(e3,e2)
& e2 != unit )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( e2 != op(e4,e3)
| ( e2 != unit
& e3 = op(e4,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e3 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e3)
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( e2 != op(e1,e2)
| ( e2 != unit
& e2 = op(e1,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( e2 != op(e2,e2)
| ( e2 = op(e2,e2)
& e2 != unit )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( e2 != op(e0,e1)
| ( e2 != unit
& e1 = op(e0,e2) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( e2 != op(e1,e1)
| ( e2 != unit
& e1 = op(e1,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4)
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e4 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e4)
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4)
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2)
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e0 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e0)
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e1 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e1)
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0)
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2)
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0)
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0)
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e1 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e1)
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3)
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3)
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( e4 != op(e0,e4)
| ( e4 = op(e0,e4)
& e4 != unit )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( e4 != op(e1,e1)
| ( e4 != unit
& e1 = op(e1,e4) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( e1 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e1)
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( e4 != op(e4,e4)
| ( e4 != unit
& e4 = op(e4,e4) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3)
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( e4 != op(e1,e3)
| ( e3 = op(e1,e4)
& e4 != unit )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( e4 != op(e2,e2)
| ( e4 != unit
& e2 = op(e2,e4) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3)
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e4 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e4)
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( e4 != op(e2,e0)
| ( e4 != unit
& e0 = op(e2,e4) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( ( e0 = op(e0,e4)
& e4 != unit )
| op(e0,e0) != e4
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f56,plain,
( e4 != op(e3,e0)
| ( e4 != unit
& e0 = op(e3,e4) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0)
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f58,plain,
( ( e2 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e2)
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f59,plain,
( ( e2 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e2)
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f60,plain,
( ( e3 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e3)
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( e0 != op(e2,e0)
| ( e0 = op(e2,e0)
& e0 != unit )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f62,plain,
( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1)
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f63,plain,
( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f64,plain,
( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0)
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( e0 != op(e4,e4)
| ( e0 != unit
& e4 = op(e4,e0) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f66,plain,
( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f67,plain,
( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f68,plain,
( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3)
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f69,plain,
( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f71,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f72,plain,
( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f75,plain,
( e0 != op(e0,e2)
| ( op(e0,e0) = e2
& e0 != unit )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f76,plain,
( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0)
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f77,plain,
( e0 != op(e4,e0)
| ( e0 != unit
& e0 = op(e4,e0) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f79,plain,
( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3)
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f80,plain,
( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2)
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f82,plain,
( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4)
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f83,plain,
( e0 != op(e0,e1)
| ( e0 != unit
& op(e0,e0) = e1 )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f84,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f85,plain,
( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2)
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f86,plain,
( op(e0,e0) != e1
| ( e0 = op(e0,e1)
& e1 != unit )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f87,plain,
( e1 != op(e1,e4)
| ( e1 != unit
& e4 = op(e1,e1) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( e1 != op(e0,e2)
| ( e2 = op(e0,e1)
& e1 != unit )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f89,plain,
( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f90,plain,
( e1 != op(e2,e0)
| ( e0 = op(e2,e1)
& e1 != unit )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f91,plain,
( e1 != op(e2,e1)
| ( e1 != unit
& e1 = op(e2,e1) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f92,plain,
( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f93,plain,
( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0)
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f94,plain,
( e1 != op(e4,e0)
| ( e1 != unit
& e0 = op(e4,e1) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f95,plain,
( e1 != op(e3,e2)
| ( e2 = op(e3,e1)
& e1 != unit )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f97,plain,
( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f99,plain,
( e1 != op(e1,e1)
| ( e1 = op(e1,e1)
& e1 != unit )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f100,plain,
( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1)
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f101,plain,
( ( e4 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e4)
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f102,plain,
( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1)
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f103,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f105,plain,
( ( e4 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e4)
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f106,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f107,plain,
( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2)
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3)
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f110,plain,
( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4)
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f111,plain,
( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2)
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f112,plain,
( ( e1 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e1)
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f113,plain,
( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2)
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f114,plain,
( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f115,plain,
( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f116,plain,
( ( e3 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e3)
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f117,plain,
( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3)
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f118,plain,
( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1)
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f119,plain,
( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f120,plain,
( e3 != op(e3,e3)
| ( e3 = op(e3,e3)
& e3 != unit )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f121,plain,
( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2)
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f122,plain,
( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f123,plain,
( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1)
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f124,plain,
( e3 != op(e1,e4)
| ( e3 != unit
& e4 = op(e1,e3) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f125,plain,
( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3)
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f126,plain,
( ( e4 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e4)
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f127,plain,
( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f128,plain,
( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1)
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f129,plain,
( e3 != op(e4,e4)
| ( e3 != unit
& e4 = op(e4,e3) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f130,plain,
( e3 != op(e0,e2)
| ( e3 != unit
& e2 = op(e0,e3) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f131,plain,
( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0)
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f133,plain,
( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0)
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f134,plain,
( e3 != op(e1,e3)
| ( e3 = op(e1,e3)
& e3 != unit )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f135,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f136,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f137,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f139,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f9,plain,
( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( ( e3 != op(e1,e3)
| ( e3 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0) )
& ( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( e3 != op(e0,e2)
| ( e3 != unit
& e2 = op(e0,e3) ) )
& ( e3 != op(e4,e4)
| ( e3 != unit
& e4 = op(e4,e3) ) )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit ) )
& ( ( e4 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( e3 != op(e1,e4)
| ( e3 != unit
& e4 = op(e1,e3) ) )
& ( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( e3 != op(e3,e3)
| ( e3 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e3 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 )
& ( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit ) )
& ( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2) )
& ( ( e1 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) ) )
| ( ( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3) )
& ( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit ) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e4 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e4) )
& ( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1) )
& ( ( e4 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( e1 != op(e1,e1)
| ( e1 = op(e1,e1)
& e1 != unit ) )
& ( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) ) )
& ( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) ) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( e1 != op(e3,e2)
| ( e2 = op(e3,e1)
& e1 != unit ) )
& ( e1 != op(e4,e0)
| ( e1 != unit
& e0 = op(e4,e1) ) )
& ( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0) )
& ( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) ) )
& ( e1 != op(e2,e1)
| ( e1 != unit
& e1 = op(e2,e1) ) )
& ( e1 != op(e2,e0)
| ( e0 = op(e2,e1)
& e1 != unit ) )
& ( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit ) )
& ( e1 != op(e0,e2)
| ( e2 = op(e0,e1)
& e1 != unit ) )
& ( e1 != op(e1,e4)
| ( e1 != unit
& e4 = op(e1,e1) ) )
& ( op(e0,e0) != e1
| ( e0 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) ) )
| ( ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( e0 != op(e0,e1)
| ( e0 != unit
& op(e0,e0) = e1 ) )
& ( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) )
& ( ( e1 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e1) )
& ( e0 != op(e4,e0)
| ( e0 != unit
& e0 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( e0 != op(e0,e2)
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit ) )
& ( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) ) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) ) )
& ( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) ) )
& ( e0 != op(e4,e4)
| ( e0 != unit
& e4 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e0)
| ( e0 = op(e2,e0)
& e0 != unit ) )
& ( ( e3 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e3) ) )
| ( ( ( e2 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e2) )
& ( ( e2 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( e4 != op(e3,e0)
| ( e4 != unit
& e0 = op(e3,e4) ) )
& ( ( e0 = op(e0,e4)
& e4 != unit )
| op(e0,e0) != e4 )
& ( e4 != op(e2,e0)
| ( e4 != unit
& e0 = op(e2,e4) ) )
& ( ( e4 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( e4 != op(e2,e2)
| ( e4 != unit
& e2 = op(e2,e4) ) )
& ( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit ) )
& ( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) ) )
& ( e4 != op(e1,e3)
| ( e3 = op(e1,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) )
& ( e4 != op(e4,e4)
| ( e4 != unit
& e4 = op(e4,e4) ) )
& ( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit ) )
& ( ( e1 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e1) )
& ( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) ) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e1,e1)
| ( e4 != unit
& e1 = op(e1,e4) ) )
& ( e4 != op(e0,e4)
| ( e4 = op(e0,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( ( e1 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e1) )
& ( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) ) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) ) )
| ( ( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( ( e1 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e1) )
& ( ( e0 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e0) )
& ( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) ) )
& ( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) ) )
& ( ( e4 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| ( e2 != unit
& e1 = op(e1,e2) ) )
& ( e2 != op(e0,e1)
| ( e2 != unit
& e1 = op(e0,e2) ) )
& ( e2 != op(e2,e2)
| ( e2 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e1,e2)
| ( e2 != unit
& e2 = op(e1,e2) ) )
& ( ( e3 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e3) )
& ( e2 != op(e4,e3)
| ( e2 != unit
& e3 = op(e4,e2) ) )
& ( e2 != op(e3,e3)
| ( e3 = op(e3,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) ) )
& ( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0) ) ) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( ( e3 != op(e1,e3)
| ( e3 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0) )
& ( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( e3 != op(e0,e2)
| ( e3 != unit
& e2 = op(e0,e3) ) )
& ( e3 != op(e4,e4)
| ( e3 != unit
& e4 = op(e4,e3) ) )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit ) )
& ( ( e4 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( e3 != op(e1,e4)
| ( e3 != unit
& e4 = op(e1,e3) ) )
& ( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( e3 != op(e3,e3)
| ( e3 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e3 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 )
& ( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit ) )
& ( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2) )
& ( ( e1 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) ) )
| ( ( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3) )
& ( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit ) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e4 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e4) )
& ( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1) )
& ( ( e4 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( e1 != op(e1,e1)
| ( e1 = op(e1,e1)
& e1 != unit ) )
& ( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) ) )
& ( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) ) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( e1 != op(e3,e2)
| ( e2 = op(e3,e1)
& e1 != unit ) )
& ( e1 != op(e4,e0)
| ( e1 != unit
& e0 = op(e4,e1) ) )
& ( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0) )
& ( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) ) )
& ( e1 != op(e2,e1)
| ( e1 != unit
& e1 = op(e2,e1) ) )
& ( e1 != op(e2,e0)
| ( e0 = op(e2,e1)
& e1 != unit ) )
& ( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit ) )
& ( e1 != op(e0,e2)
| ( e2 = op(e0,e1)
& e1 != unit ) )
& ( e1 != op(e1,e4)
| ( e1 != unit
& e4 = op(e1,e1) ) )
& ( op(e0,e0) != e1
| ( e0 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) ) )
| ( ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( e0 != op(e0,e1)
| ( e0 != unit
& op(e0,e0) = e1 ) )
& ( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) )
& ( ( e1 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e1) )
& ( e0 != op(e4,e0)
| ( e0 != unit
& e0 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( e0 != op(e0,e2)
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit ) )
& ( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) ) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) ) )
& ( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) ) )
& ( e0 != op(e4,e4)
| ( e0 != unit
& e4 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e0)
| ( e0 = op(e2,e0)
& e0 != unit ) )
& ( ( e3 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e3) ) )
| ( ( ( e2 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e2) )
& ( ( e2 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( e4 != op(e3,e0)
| ( e4 != unit
& e0 = op(e3,e4) ) )
& ( ( e0 = op(e0,e4)
& e4 != unit )
| op(e0,e0) != e4 )
& ( e4 != op(e2,e0)
| ( e4 != unit
& e0 = op(e2,e4) ) )
& ( ( e4 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( e4 != op(e2,e2)
| ( e4 != unit
& e2 = op(e2,e4) ) )
& ( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit ) )
& ( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) ) )
& ( e4 != op(e1,e3)
| ( e3 = op(e1,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) )
& ( e4 != op(e4,e4)
| ( e4 != unit
& e4 = op(e4,e4) ) )
& ( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit ) )
& ( ( e1 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e1) )
& ( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) ) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e1,e1)
| ( e4 != unit
& e1 = op(e1,e4) ) )
& ( e4 != op(e0,e4)
| ( e4 = op(e0,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( ( e1 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e1) )
& ( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) ) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) ) )
| ( ( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( ( e1 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e1) )
& ( ( e0 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e0) )
& ( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) ) )
& ( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) ) )
& ( ( e4 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| ( e2 != unit
& e1 = op(e1,e2) ) )
& ( e2 != op(e0,e1)
| ( e2 != unit
& e1 = op(e0,e2) ) )
& ( e2 != op(e2,e2)
| ( e2 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e1,e2)
| ( e2 != unit
& e2 = op(e1,e2) ) )
& ( ( e3 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e3) )
& ( e2 != op(e4,e3)
| ( e2 != unit
& e3 = op(e4,e2) ) )
& ( e2 != op(e3,e3)
| ( e3 = op(e3,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) ) )
& ( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0) ) ) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( ( ( e3 != op(e1,e3)
| ( e3 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0) )
& ( ( e2 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e2) )
& ( ( e3 != unit
& e0 = op(e4,e3) )
| e3 != op(e4,e0) )
& ( e3 != op(e0,e2)
| ( e3 != unit
& e2 = op(e0,e3) ) )
& ( e3 != op(e4,e4)
| ( e3 != unit
& e4 = op(e4,e3) ) )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( e3 != op(e1,e0)
| ( e0 = op(e1,e3)
& e3 != unit ) )
& ( ( e4 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e4) )
& ( ( e3 != unit
& e3 = op(e4,e3) )
| e3 != op(e4,e3) )
& ( e3 != op(e1,e4)
| ( e3 != unit
& e4 = op(e1,e3) ) )
& ( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e2 = op(e2,e3) )
| e3 != op(e2,e2) )
& ( e3 != op(e3,e3)
| ( e3 = op(e3,e3)
& e3 != unit ) )
& ( e3 != op(e2,e0)
| ( e0 = op(e2,e3)
& e3 != unit ) )
& ( ( e3 != unit
& e1 = op(e4,e3) )
| e3 != op(e4,e1) )
& ( ( e3 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e3) )
& ( ( e3 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e3) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 )
& ( e3 != op(e0,e4)
| ( e4 = op(e0,e3)
& e3 != unit ) )
& ( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2) )
& ( ( e1 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e2 = op(e3,e3) )
| e3 != op(e3,e2) )
& ( ( e3 != unit
& e4 = op(e3,e3) )
| e3 != op(e3,e4) ) )
| ( ( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3) )
& ( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit ) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e4 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e4) )
& ( e1 != op(e0,e3)
| ( e3 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e1) )
& ( ( e4 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e4) )
& ( ( e1 != unit
& e1 = op(e0,e1) )
| e1 != op(e0,e1) )
& ( e1 != op(e1,e1)
| ( e1 = op(e1,e1)
& e1 != unit ) )
& ( e1 != op(e3,e1)
| ( e1 != unit
& e1 = op(e3,e1) ) )
& ( e1 != op(e3,e0)
| ( e1 != unit
& e0 = op(e3,e1) ) )
& ( ( e1 != unit
& e3 = op(e2,e1) )
| e1 != op(e2,e3) )
& ( e1 != op(e3,e2)
| ( e2 = op(e3,e1)
& e1 != unit ) )
& ( e1 != op(e4,e0)
| ( e1 != unit
& e0 = op(e4,e1) ) )
& ( ( e0 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e0) )
& ( e1 != op(e4,e2)
| ( e1 != unit
& e2 = op(e4,e1) ) )
& ( e1 != op(e2,e1)
| ( e1 != unit
& e1 = op(e2,e1) ) )
& ( e1 != op(e2,e0)
| ( e0 = op(e2,e1)
& e1 != unit ) )
& ( e1 != op(e4,e4)
| ( e4 = op(e4,e1)
& e1 != unit ) )
& ( e1 != op(e0,e2)
| ( e2 = op(e0,e1)
& e1 != unit ) )
& ( e1 != op(e1,e4)
| ( e1 != unit
& e4 = op(e1,e1) ) )
& ( op(e0,e0) != e1
| ( e0 = op(e0,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e2 = op(e2,e1) )
| e1 != op(e2,e2) ) )
| ( ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( e0 != op(e0,e1)
| ( e0 != unit
& op(e0,e0) = e1 ) )
& ( ( e4 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e4) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) )
& ( ( e2 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e2) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) )
& ( ( e1 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e1) )
& ( e0 != op(e4,e0)
| ( e0 != unit
& e0 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e3,e0) )
| e0 != op(e3,e0) )
& ( e0 != op(e0,e2)
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( e0 != op(e2,e4)
| ( e4 = op(e2,e0)
& e0 != unit ) )
& ( e0 != op(e3,e1)
| ( e1 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) ) )
& ( ( e0 != unit
& e3 = op(e2,e0) )
| e0 != op(e2,e3) )
& ( e0 != op(e4,e3)
| ( e0 != unit
& e3 = op(e4,e0) ) )
& ( e0 != op(e4,e2)
| ( e0 != unit
& e2 = op(e4,e0) ) )
& ( e0 != op(e4,e4)
| ( e0 != unit
& e4 = op(e4,e0) ) )
& ( ( e0 != unit
& e0 = op(e1,e0) )
| e0 != op(e1,e0) )
& ( e0 != op(e0,e3)
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( ( e1 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e0)
| ( e0 = op(e2,e0)
& e0 != unit ) )
& ( ( e3 = op(e3,e0)
& e0 != unit )
| e0 != op(e3,e3) ) )
| ( ( ( e2 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e2) )
& ( ( e2 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e2) )
& ( ( e4 != unit
& e0 = op(e1,e4) )
| e4 != op(e1,e0) )
& ( e4 != op(e3,e0)
| ( e4 != unit
& e0 = op(e3,e4) ) )
& ( ( e0 = op(e0,e4)
& e4 != unit )
| op(e0,e0) != e4 )
& ( e4 != op(e2,e0)
| ( e4 != unit
& e0 = op(e2,e4) ) )
& ( ( e4 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e4) )
& ( ( e4 != unit
& e3 = op(e0,e4) )
| e4 != op(e0,e3) )
& ( e4 != op(e2,e2)
| ( e4 != unit
& e2 = op(e2,e4) ) )
& ( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit ) )
& ( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) ) )
& ( e4 != op(e1,e3)
| ( e3 = op(e1,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) )
& ( e4 != op(e4,e4)
| ( e4 != unit
& e4 = op(e4,e4) ) )
& ( e4 != op(e0,e2)
| ( e2 = op(e0,e4)
& e4 != unit ) )
& ( ( e1 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e1) )
& ( e4 != op(e0,e1)
| ( e4 != unit
& e1 = op(e0,e4) ) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e1,e1)
| ( e4 != unit
& e1 = op(e1,e4) ) )
& ( e4 != op(e0,e4)
| ( e4 = op(e0,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e3 = op(e3,e4) )
| e4 != op(e3,e3) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( ( e1 = op(e3,e4)
& e4 != unit )
| e4 != op(e3,e1) )
& ( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) ) )
& ( ( e4 != unit
& e0 = op(e4,e4) )
| e4 != op(e4,e0) ) )
| ( ( ( e0 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e0) )
& ( ( e2 != unit
& e1 = op(e3,e2) )
| e2 != op(e3,e1) )
& ( ( e2 != unit
& e2 = op(e3,e2) )
| e2 != op(e3,e2) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( ( e1 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e1) )
& ( ( e0 = op(e4,e2)
& e2 != unit )
| e2 != op(e4,e0) )
& ( e2 != op(e0,e2)
| ( e2 != unit
& e2 = op(e0,e2) ) )
& ( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e2 = op(e4,e2) )
| e2 != op(e4,e2) )
& ( ( e2 != unit
& e4 = op(e1,e2) )
| e2 != op(e1,e4) )
& ( e2 != op(e0,e4)
| ( e2 != unit
& e4 = op(e0,e2) ) )
& ( ( e4 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e4) )
& ( ( e2 != unit
& e4 = op(e4,e2) )
| e2 != op(e4,e4) )
& ( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2 )
& ( e2 != op(e1,e1)
| ( e2 != unit
& e1 = op(e1,e2) ) )
& ( e2 != op(e0,e1)
| ( e2 != unit
& e1 = op(e0,e2) ) )
& ( e2 != op(e2,e2)
| ( e2 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e1,e2)
| ( e2 != unit
& e2 = op(e1,e2) ) )
& ( ( e3 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e3) )
& ( e2 != op(e4,e3)
| ( e2 != unit
& e3 = op(e4,e2) ) )
& ( e2 != op(e3,e3)
| ( e3 = op(e3,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e1 = op(e2,e2) )
| e2 != op(e2,e1) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( e2 != op(e0,e3)
| ( e2 != unit
& e3 = op(e0,e2) ) )
& ( ( e0 = op(e3,e2)
& e2 != unit )
| e2 != op(e3,e0) ) ) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( op(e0,e0) != e4
| e0 = op(e0,e4) )
& ( e4 != op(e4,e4)
| e4 = op(e4,e4) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) )
& ( op(e0,e0) != e3
| e0 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e4,e4)
| e4 = op(e4,e3) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2132,plain,
( spl130_243
| ~ spl130_17 ),
inference(avatar_split_clause,[],[f430,f940,f2052]) ).
fof(f2052,plain,
( spl130_243
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_243])]) ).
fof(f940,plain,
( spl130_17
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_17])]) ).
fof(f430,plain,
( ~ sP126
| sP38 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f2126,plain,
( ~ spl130_56
| spl130_64 ),
inference(avatar_split_clause,[],[f465,f1146,f1112]) ).
fof(f1112,plain,
( spl130_56
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_56])]) ).
fof(f465,plain,
( sP23
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f2119,plain,
spl130_162,
inference(avatar_split_clause,[],[f744,f1606]) ).
fof(f744,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f2110,plain,
( ~ spl130_18
| spl130_247 ),
inference(avatar_split_clause,[],[f410,f2107,f945]) ).
fof(f945,plain,
( spl130_18
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_18])]) ).
fof(f410,plain,
( sP68
| ~ sP127 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f2099,plain,
( spl130_56
| spl130_21
| spl130_151
| spl130_18
| spl130_17 ),
inference(avatar_split_clause,[],[f737,f940,f945,f1553,f958,f1112]) ).
fof(f1553,plain,
( spl130_151
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl130_151])]) ).
fof(f737,plain,
( sP126
| sP127
| sP129
| sP128
| sP125 ),
inference(cnf_transformation,[],[f140]) ).
fof(f2092,plain,
( ~ spl130_151
| spl130_241 ),
inference(avatar_split_clause,[],[f364,f2043,f1553]) ).
fof(f364,plain,
( sP122
| ~ sP129 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f2055,plain,
( ~ spl130_242
| ~ spl130_243
| spl130_228 ),
inference(avatar_split_clause,[],[f640,f1954,f2052,f2048]) ).
fof(f640,plain,
( e3 = op(e1,e4)
| ~ sP38
| e4 != op(e1,e3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( e4 != op(e1,e3)
| ( e3 = op(e1,e4)
& e4 != unit )
| ~ sP38 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2034,plain,
( spl130_6
| spl130_213
| spl130_3
| spl130_209
| spl130_165 ),
inference(avatar_split_clause,[],[f297,f1620,f1849,f880,f1873,f893]) ).
fof(f297,plain,
( e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e4,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2001,plain,
( spl130_234
| ~ spl130_220 ),
inference(avatar_split_clause,[],[f729,f1910,f1998]) ).
fof(f729,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:55:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.44/0.57 % (15513)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.57 % (15515)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.58 % (15505)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.58 % (15507)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.44/0.58 % (15513)Instruction limit reached!
% 1.44/0.58 % (15513)------------------------------
% 1.44/0.58 % (15513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (15521)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.44/0.59 % (15513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (15513)Termination reason: Unknown
% 1.44/0.59 % (15513)Termination phase: Preprocessing 2
% 1.44/0.59
% 1.44/0.59 % (15513)Memory used [KB]: 1535
% 1.44/0.59 % (15513)Time elapsed: 0.005 s
% 1.44/0.59 % (15513)Instructions burned: 3 (million)
% 1.44/0.59 % (15513)------------------------------
% 1.44/0.59 % (15513)------------------------------
% 1.44/0.60 % (15523)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.62 % (15499)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.44/0.62 % (15520)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.63 % (15522)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.44/0.63 % (15525)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.63 % (15511)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.44/0.63 % (15528)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.44/0.63 % (15514)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.63 % (15527)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.44/0.63 % (15512)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.64 % (15509)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.44/0.64 % (15510)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.64 % (15505)Instruction limit reached!
% 1.44/0.64 % (15505)------------------------------
% 1.44/0.64 % (15505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.64 % (15501)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.64 % (15505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.64 % (15505)Termination reason: Unknown
% 1.44/0.64 % (15505)Termination phase: Saturation
% 1.44/0.64
% 1.44/0.64 % (15505)Memory used [KB]: 7291
% 1.44/0.64 % (15505)Time elapsed: 0.166 s
% 1.44/0.64 % (15505)Instructions burned: 39 (million)
% 1.44/0.64 % (15505)------------------------------
% 1.44/0.64 % (15505)------------------------------
% 1.44/0.64 % (15503)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.44/0.64 % (15501)Instruction limit reached!
% 1.44/0.64 % (15501)------------------------------
% 1.44/0.64 % (15501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.64 % (15504)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.44/0.64 % (15501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.64 % (15501)Termination reason: Unknown
% 1.44/0.64 % (15501)Termination phase: Preprocessing 2
% 1.44/0.64
% 1.44/0.64 % (15501)Memory used [KB]: 1535
% 1.44/0.64 % (15501)Time elapsed: 0.004 s
% 1.44/0.64 % (15501)Instructions burned: 3 (million)
% 1.44/0.64 % (15501)------------------------------
% 1.44/0.64 % (15501)------------------------------
% 1.44/0.64 % (15502)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.64 % (15506)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.64 % (15503)Instruction limit reached!
% 1.44/0.64 % (15503)------------------------------
% 1.44/0.64 % (15503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.64 % (15503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.64 % (15503)Termination reason: Unknown
% 1.44/0.64 % (15503)Termination phase: Clausification
% 1.44/0.64
% 1.44/0.64 % (15503)Memory used [KB]: 5373
% 1.44/0.64 % (15503)Time elapsed: 0.009 s
% 1.44/0.64 % (15503)Instructions burned: 13 (million)
% 1.44/0.64 % (15503)------------------------------
% 1.44/0.64 % (15503)------------------------------
% 1.44/0.64 % (15524)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.44/0.64 % (15504)Instruction limit reached!
% 1.44/0.64 % (15504)------------------------------
% 1.44/0.64 % (15504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.64 % (15504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.64 % (15504)Termination reason: Unknown
% 1.44/0.64 % (15504)Termination phase: Saturation
% 1.44/0.64
% 1.44/0.64 % (15504)Memory used [KB]: 1918
% 1.44/0.64 % (15504)Time elapsed: 0.008 s
% 1.44/0.64 % (15504)Instructions burned: 16 (million)
% 1.44/0.64 % (15504)------------------------------
% 1.44/0.64 % (15504)------------------------------
% 1.44/0.64 % (15519)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.44/0.64 % (15518)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.44/0.65 % (15516)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.65 % (15516)Instruction limit reached!
% 1.44/0.65 % (15516)------------------------------
% 1.44/0.65 % (15516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.65 % (15516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.65 % (15516)Termination reason: Unknown
% 1.44/0.65 % (15516)Termination phase: Preprocessing 2
% 1.44/0.65
% 1.44/0.65 % (15516)Memory used [KB]: 1535
% 1.44/0.65 % (15516)Time elapsed: 0.002 s
% 1.44/0.65 % (15516)Instructions burned: 3 (million)
% 1.44/0.65 % (15516)------------------------------
% 1.44/0.65 % (15516)------------------------------
% 1.44/0.65 % (15509)Instruction limit reached!
% 1.44/0.65 % (15509)------------------------------
% 1.44/0.65 % (15509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.65 % (15518)Instruction limit reached!
% 1.44/0.65 % (15518)------------------------------
% 1.44/0.65 % (15518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.65 % (15518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.65 % (15518)Termination reason: Unknown
% 1.44/0.65 % (15518)Termination phase: Property scanning
% 1.44/0.65
% 1.44/0.65 % (15518)Memory used [KB]: 1791
% 1.44/0.65 % (15518)Time elapsed: 0.007 s
% 1.44/0.65 % (15518)Instructions burned: 14 (million)
% 1.44/0.65 % (15518)------------------------------
% 1.44/0.65 % (15518)------------------------------
% 1.44/0.65 % (15509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.65 % (15509)Termination reason: Unknown
% 1.44/0.65 % (15509)Termination phase: Property scanning
% 1.44/0.65
% 1.44/0.65 % (15509)Memory used [KB]: 1791
% 1.44/0.65 % (15509)Time elapsed: 0.009 s
% 1.44/0.65 % (15509)Instructions burned: 13 (million)
% 1.44/0.65 % (15509)------------------------------
% 1.44/0.65 % (15509)------------------------------
% 1.44/0.65 % (15526)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.44/0.65 % (15507)Instruction limit reached!
% 1.44/0.65 % (15507)------------------------------
% 1.44/0.65 % (15507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.65 % (15510)Instruction limit reached!
% 1.44/0.65 % (15510)------------------------------
% 1.44/0.65 % (15510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.65 % (15508)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.44/0.65 % (15523)Refutation not found, incomplete strategy% (15523)------------------------------
% 1.44/0.65 % (15523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.65 % (15523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.65 % (15523)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.65
% 1.44/0.65 % (15523)Memory used [KB]: 7419
% 1.44/0.65 % (15523)Time elapsed: 0.194 s
% 1.44/0.65 % (15523)Instructions burned: 36 (million)
% 1.44/0.65 % (15523)------------------------------
% 1.44/0.65 % (15523)------------------------------
% 1.44/0.65 % (15511)Instruction limit reached!
% 1.44/0.65 % (15511)------------------------------
% 1.44/0.65 % (15511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66 % (15500)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.17/0.66 % (15527)Instruction limit reached!
% 2.17/0.66 % (15527)------------------------------
% 2.17/0.66 % (15527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66 % (15527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (15527)Termination reason: Unknown
% 2.17/0.66 % (15527)Termination phase: Property scanning
% 2.17/0.66
% 2.17/0.66 % (15527)Memory used [KB]: 1791
% 2.17/0.66 % (15527)Time elapsed: 0.006 s
% 2.17/0.66 % (15527)Instructions burned: 10 (million)
% 2.17/0.66 % (15527)------------------------------
% 2.17/0.66 % (15527)------------------------------
% 2.17/0.66 % (15514)Instruction limit reached!
% 2.17/0.66 % (15514)------------------------------
% 2.17/0.66 % (15514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66 % (15514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (15514)Termination reason: Unknown
% 2.17/0.66 % (15514)Termination phase: Property scanning
% 2.17/0.66
% 2.17/0.66 % (15514)Memory used [KB]: 1791
% 2.17/0.66 % (15514)Time elapsed: 0.007 s
% 2.17/0.66 % (15514)Instructions burned: 9 (million)
% 2.17/0.66 % (15514)------------------------------
% 2.17/0.66 % (15514)------------------------------
% 2.17/0.66 % (15507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (15507)Termination reason: Unknown
% 2.17/0.66 % (15507)Termination phase: Saturation
% 2.17/0.66
% 2.17/0.66 % (15507)Memory used [KB]: 7164
% 2.17/0.66 % (15507)Time elapsed: 0.179 s
% 2.17/0.66 % (15507)Instructions burned: 49 (million)
% 2.17/0.66 % (15507)------------------------------
% 2.17/0.66 % (15507)------------------------------
% 2.17/0.66 % (15517)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.17/0.66 % (15511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (15511)Termination reason: Unknown
% 2.17/0.66 % (15511)Termination phase: Property scanning
% 2.17/0.66
% 2.17/0.66 % (15511)Memory used [KB]: 2046
% 2.17/0.66 % (15511)Time elapsed: 0.009 s
% 2.17/0.66 % (15511)Instructions burned: 17 (million)
% 2.17/0.66 % (15511)------------------------------
% 2.17/0.66 % (15511)------------------------------
% 2.17/0.66 % (15510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.66 % (15510)Termination reason: Unknown
% 2.17/0.66 % (15510)Termination phase: Naming
% 2.17/0.66
% 2.17/0.66 % (15510)Memory used [KB]: 1663
% 2.17/0.66 % (15510)Time elapsed: 0.005 s
% 2.17/0.66 % (15510)Instructions burned: 7 (million)
% 2.17/0.66 % (15510)------------------------------
% 2.17/0.66 % (15510)------------------------------
% 2.17/0.67 % (15515)Instruction limit reached!
% 2.17/0.67 % (15515)------------------------------
% 2.17/0.67 % (15515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (15519)Instruction limit reached!
% 2.17/0.67 % (15519)------------------------------
% 2.17/0.67 % (15519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (15517)Instruction limit reached!
% 2.17/0.67 % (15517)------------------------------
% 2.17/0.67 % (15517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (15515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67 % (15515)Termination reason: Unknown
% 2.17/0.67 % (15515)Termination phase: Saturation
% 2.17/0.67
% 2.17/0.67 % (15515)Memory used [KB]: 7291
% 2.17/0.67 % (15515)Time elapsed: 0.201 s
% 2.17/0.68 % (15500)Instruction limit reached!
% 2.17/0.68 % (15500)------------------------------
% 2.17/0.68 % (15500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68 % (15517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68 % (15517)Termination reason: Unknown
% 2.17/0.68 % (15517)Termination phase: Preprocessing 1
% 2.17/0.68
% 2.17/0.68 % (15517)Memory used [KB]: 1535
% 2.17/0.68 % (15517)Time elapsed: 0.005 s
% 2.17/0.68 % (15517)Instructions burned: 4 (million)
% 2.17/0.68 % (15517)------------------------------
% 2.17/0.68 % (15517)------------------------------
% 2.17/0.68 % (15500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68 % (15500)Termination reason: Unknown
% 2.17/0.68 % (15500)Termination phase: Saturation
% 2.17/0.68
% 2.17/0.68 % (15500)Memory used [KB]: 1791
% 2.17/0.68 % (15500)Time elapsed: 0.008 s
% 2.17/0.68 % (15500)Instructions burned: 15 (million)
% 2.17/0.68 % (15500)------------------------------
% 2.17/0.68 % (15500)------------------------------
% 2.17/0.68 % (15515)Instructions burned: 50 (million)
% 2.17/0.68 % (15515)------------------------------
% 2.17/0.68 % (15515)------------------------------
% 2.17/0.68 % (15528)Instruction limit reached!
% 2.17/0.68 % (15528)------------------------------
% 2.17/0.68 % (15528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68 % (15526)Instruction limit reached!
% 2.17/0.68 % (15526)------------------------------
% 2.17/0.68 % (15526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68 % (15526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68 % (15526)Termination reason: Unknown
% 2.17/0.68 % (15526)Termination phase: Saturation
% 2.17/0.68
% 2.17/0.68 % (15526)Memory used [KB]: 7291
% 2.17/0.68 % (15526)Time elapsed: 0.232 s
% 2.17/0.68 % (15526)Instructions burned: 26 (million)
% 2.17/0.68 % (15526)------------------------------
% 2.17/0.68 % (15526)------------------------------
% 2.17/0.68 % (15519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68 % (15519)Termination reason: Unknown
% 2.17/0.68 % (15519)Termination phase: Saturation
% 2.17/0.68
% 2.17/0.68 % (15519)Memory used [KB]: 7036
% 2.17/0.68 % (15519)Time elapsed: 0.212 s
% 2.17/0.68 % (15519)Instructions burned: 31 (million)
% 2.17/0.68 % (15519)------------------------------
% 2.17/0.68 % (15519)------------------------------
% 2.39/0.69 % (15528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (15528)Termination reason: Unknown
% 2.39/0.69 % (15528)Termination phase: Clausification
% 2.39/0.69
% 2.39/0.69 % (15528)Memory used [KB]: 11257
% 2.39/0.69 % (15528)Time elapsed: 0.018 s
% 2.39/0.69 % (15528)Instructions burned: 25 (million)
% 2.39/0.69 % (15528)------------------------------
% 2.39/0.69 % (15528)------------------------------
% 2.39/0.70 % (15512)Instruction limit reached!
% 2.39/0.70 % (15512)------------------------------
% 2.39/0.70 % (15512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (15512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (15512)Termination reason: Unknown
% 2.39/0.70 % (15512)Termination phase: Saturation
% 2.39/0.70
% 2.39/0.70 % (15512)Memory used [KB]: 7419
% 2.39/0.70 % (15512)Time elapsed: 0.025 s
% 2.39/0.70 % (15512)Instructions burned: 51 (million)
% 2.39/0.70 % (15512)------------------------------
% 2.39/0.70 % (15512)------------------------------
% 2.39/0.70 % (15522)Instruction limit reached!
% 2.39/0.70 % (15522)------------------------------
% 2.39/0.70 % (15522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (15522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (15522)Termination reason: Unknown
% 2.39/0.70 % (15522)Termination phase: Saturation
% 2.39/0.70
% 2.39/0.70 % (15522)Memory used [KB]: 2558
% 2.39/0.70 % (15522)Time elapsed: 0.233 s
% 2.39/0.70 % (15522)Instructions burned: 46 (million)
% 2.39/0.70 % (15522)------------------------------
% 2.39/0.70 % (15522)------------------------------
% 2.39/0.71 % (15506)Instruction limit reached!
% 2.39/0.71 % (15506)------------------------------
% 2.39/0.71 % (15506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (15506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (15506)Termination reason: Unknown
% 2.39/0.71 % (15506)Termination phase: Saturation
% 2.39/0.71
% 2.39/0.71 % (15506)Memory used [KB]: 7291
% 2.39/0.71 % (15506)Time elapsed: 0.240 s
% 2.39/0.71 % (15506)Instructions burned: 39 (million)
% 2.39/0.71 % (15506)------------------------------
% 2.39/0.71 % (15506)------------------------------
% 2.39/0.71 % (15531)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 2.39/0.71 % (15508)Instruction limit reached!
% 2.39/0.71 % (15508)------------------------------
% 2.39/0.71 % (15508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (15508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (15508)Termination reason: Unknown
% 2.39/0.71 % (15508)Termination phase: Saturation
% 2.39/0.71
% 2.39/0.71 % (15508)Memory used [KB]: 7036
% 2.39/0.71 % (15508)Time elapsed: 0.196 s
% 2.39/0.71 % (15508)Instructions burned: 33 (million)
% 2.39/0.71 % (15508)------------------------------
% 2.39/0.71 % (15508)------------------------------
% 2.39/0.71 % (15502)Instruction limit reached!
% 2.39/0.71 % (15502)------------------------------
% 2.39/0.71 % (15502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (15502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (15502)Termination reason: Unknown
% 2.39/0.71 % (15502)Termination phase: Saturation
% 2.39/0.71
% 2.39/0.71 % (15502)Memory used [KB]: 7291
% 2.39/0.71 % (15502)Time elapsed: 0.223 s
% 2.39/0.71 % (15502)Instructions burned: 51 (million)
% 2.39/0.71 % (15502)------------------------------
% 2.39/0.71 % (15502)------------------------------
% 2.39/0.71 % (15521)Instruction limit reached!
% 2.39/0.71 % (15521)------------------------------
% 2.39/0.71 % (15521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (15521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (15521)Termination reason: Unknown
% 2.39/0.71 % (15521)Termination phase: Clausification
% 2.39/0.71
% 2.39/0.71 % (15521)Memory used [KB]: 40681
% 2.39/0.71 % (15521)Time elapsed: 0.095 s
% 2.39/0.71 % (15521)Instructions burned: 82 (million)
% 2.39/0.71 % (15521)------------------------------
% 2.39/0.71 % (15521)------------------------------
% 2.54/0.76 % (15524)First to succeed.
% 2.54/0.76 % (15535)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.54/0.76 % (15536)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.54/0.76 % (15535)Instruction limit reached!
% 2.54/0.76 % (15535)------------------------------
% 2.54/0.76 % (15535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.77 % (15538)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.54/0.77 % (15537)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.54/0.77 % (15535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.77 % (15535)Termination reason: Unknown
% 2.54/0.77 % (15535)Termination phase: Preprocessing 3
% 2.54/0.77
% 2.54/0.77 % (15535)Memory used [KB]: 1663
% 2.54/0.77 % (15535)Time elapsed: 0.005 s
% 2.54/0.77 % (15535)Instructions burned: 7 (million)
% 2.54/0.77 % (15535)------------------------------
% 2.54/0.77 % (15535)------------------------------
% 2.54/0.78 % (15541)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.54/0.78 % (15552)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.54/0.78 % (15546)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.54/0.78 % (15549)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.54/0.78 % (15540)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.54/0.78 % (15547)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.54/0.78 % (15539)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.54/0.79 % (15524)Refutation found. Thanks to Tanya!
% 2.54/0.79 % SZS status Theorem for theBenchmark
% 2.54/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/0.79 % (15524)------------------------------
% 2.54/0.79 % (15524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.79 % (15524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.79 % (15524)Termination reason: Refutation
% 2.54/0.79
% 2.54/0.79 % (15524)Memory used [KB]: 8315
% 2.54/0.79 % (15524)Time elapsed: 0.045 s
% 2.54/0.79 % (15524)Instructions burned: 71 (million)
% 2.54/0.79 % (15524)------------------------------
% 2.54/0.79 % (15524)------------------------------
% 2.54/0.79 % (15498)Success in time 0.433 s
%------------------------------------------------------------------------------