TSTP Solution File: ALG015+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG015+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_sat --cores 0 -t %d %s
% Computer : n004.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 15:41:59 EDT 2022
% Result : Theorem 3.43s 0.99s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 170
% Syntax : Number of formulae : 599 ( 72 unt; 0 def)
% Number of atoms : 3380 (2390 equ)
% Maximal formula atoms : 384 ( 5 avg)
% Number of connectives : 4430 (1649 ~;1653 |;1018 &)
% ( 110 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 154 ( 152 usr; 153 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5186,plain,
$false,
inference(avatar_sat_refutation,[],[f1207,f1502,f1512,f1534,f1551,f1685,f1791,f1805,f2031,f2130,f2140,f2151,f2241,f2349,f2598,f2660,f2666,f2686,f2832,f2853,f2874,f2990,f3058,f3099,f3144,f3245,f3319,f3374,f3380,f3402,f3430,f3470,f3483,f3573,f3584,f3621,f3660,f3676,f3680,f3683,f3696,f3707,f3717,f3722,f3724,f3729,f3961,f4025,f4150,f4181,f4198,f4208,f4231,f4300,f4387,f4406,f4423,f4454,f4497,f4540,f4542,f4547,f4571,f4573,f4610,f4623,f4633,f4643,f4652,f4660,f4689,f4694,f4704,f4729,f4731,f4743,f4753,f4759,f4791,f4811,f4814,f4822,f4866,f4872,f4936,f4960,f4993,f5004,f5039,f5043,f5046,f5049,f5069,f5074,f5093,f5094,f5097,f5107,f5121,f5127,f5128,f5133,f5138,f5140,f5145,f5150,f5152,f5157,f5165,f5177,f5185]) ).
fof(f5185,plain,
( ~ spl42_359
| spl42_19
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475
| ~ spl42_566 ),
inference(avatar_split_clause,[],[f5184,f3316,f2871,f2595,f2238,f864,f2334]) ).
fof(f2334,plain,
( spl42_359
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_359])]) ).
fof(f864,plain,
( spl42_19
<=> h8(op1(e13,e11)) = op2(h8(e13),h8(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).
fof(f2238,plain,
( spl42_336
<=> e21 = h8(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_336])]) ).
fof(f2595,plain,
( spl42_419
<=> e22 = h8(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_419])]) ).
fof(f2871,plain,
( spl42_475
<=> e23 = h8(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_475])]) ).
fof(f3316,plain,
( spl42_566
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_566])]) ).
fof(f5184,plain,
( e22 != op2(e21,e23)
| spl42_19
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475
| ~ spl42_566 ),
inference(forward_demodulation,[],[f4602,f2596]) ).
fof(f2596,plain,
( e22 = h8(e12)
| ~ spl42_419 ),
inference(avatar_component_clause,[],[f2595]) ).
fof(f4602,plain,
( op2(e21,e23) != h8(e12)
| spl42_19
| ~ spl42_336
| ~ spl42_475
| ~ spl42_566 ),
inference(forward_demodulation,[],[f4601,f3318]) ).
fof(f3318,plain,
( e12 = op1(e13,e11)
| ~ spl42_566 ),
inference(avatar_component_clause,[],[f3316]) ).
fof(f4601,plain,
( op2(e21,e23) != h8(op1(e13,e11))
| spl42_19
| ~ spl42_336
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4600,f2239]) ).
fof(f2239,plain,
( e21 = h8(e13)
| ~ spl42_336 ),
inference(avatar_component_clause,[],[f2238]) ).
fof(f4600,plain,
( h8(op1(e13,e11)) != op2(h8(e13),e23)
| spl42_19
| ~ spl42_475 ),
inference(forward_demodulation,[],[f866,f2872]) ).
fof(f2872,plain,
( e23 = h8(e11)
| ~ spl42_475 ),
inference(avatar_component_clause,[],[f2871]) ).
fof(f866,plain,
( h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| spl42_19 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f5177,plain,
( ~ spl42_361
| ~ spl42_549 ),
inference(avatar_split_clause,[],[f4569,f3234,f2342]) ).
fof(f2342,plain,
( spl42_361
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_361])]) ).
fof(f3234,plain,
( spl42_549
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_549])]) ).
fof(f4569,plain,
( e23 != op2(e21,e23)
| ~ spl42_549 ),
inference(forward_demodulation,[],[f689,f3236]) ).
fof(f3236,plain,
( e23 = op2(e21,e22)
| ~ spl42_549 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f689,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( op2(e20,e22) != op2(e20,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e22,e22) != op2(e22,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e23) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e23,e21) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e20) != op2(e22,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f5165,plain,
( spl42_442
| ~ spl42_574 ),
inference(avatar_split_clause,[],[f3638,f3359,f2707]) ).
fof(f2707,plain,
( spl42_442
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_442])]) ).
fof(f3359,plain,
( spl42_574
<=> e10 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_574])]) ).
fof(f3638,plain,
( e12 = op1(e12,e10)
| ~ spl42_574 ),
inference(forward_demodulation,[],[f781,f3361]) ).
fof(f3361,plain,
( e10 = unit1
| ~ spl42_574 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f781,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e10 = op1(unit1,e10)
& e13 = op1(e13,unit1)
& ( e13 = unit1
| e12 = unit1
| e10 = unit1
| e11 = unit1 )
& e12 = op1(unit1,e12)
& e12 = op1(e12,unit1)
& e13 = op1(unit1,e13)
& e10 = op1(e10,unit1)
& e11 = op1(e11,unit1)
& e11 = op1(unit1,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f5157,plain,
( spl42_406
| ~ spl42_574 ),
inference(avatar_split_clause,[],[f3642,f3359,f2533]) ).
fof(f2533,plain,
( spl42_406
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_406])]) ).
fof(f3642,plain,
( e13 = op1(e13,e10)
| ~ spl42_574 ),
inference(forward_demodulation,[],[f784,f3361]) ).
fof(f784,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f3]) ).
fof(f5152,plain,
( spl42_574
| ~ spl42_216
| ~ spl42_424 ),
inference(avatar_split_clause,[],[f4887,f2620,f1696,f3359]) ).
fof(f1696,plain,
( spl42_216
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_216])]) ).
fof(f2620,plain,
( spl42_424
<=> e13 = inv1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_424])]) ).
fof(f4887,plain,
( e10 = unit1
| ~ spl42_216
| ~ spl42_424 ),
inference(forward_demodulation,[],[f3956,f1698]) ).
fof(f1698,plain,
( e10 = op1(e13,e13)
| ~ spl42_216 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f3956,plain,
( op1(e13,e13) = unit1
| ~ spl42_424 ),
inference(forward_demodulation,[],[f471,f2622]) ).
fof(f2622,plain,
( e13 = inv1(e13)
| ~ spl42_424 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f471,plain,
unit1 = op1(inv1(e13),e13),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e13 = inv1(e11)
| e10 = inv1(e11)
| e11 = inv1(e11)
| e12 = inv1(e11) )
& ( e11 = inv1(e10)
| e13 = inv1(e10)
| e12 = inv1(e10)
| e10 = inv1(e10) )
& unit1 = op1(inv1(e10),e10)
& unit1 = op1(inv1(e13),e13)
& unit1 = op1(e13,inv1(e13))
& unit1 = op1(e11,inv1(e11))
& unit1 = op1(inv1(e11),e11)
& unit1 = op1(inv1(e12),e12)
& ( e13 = inv1(e12)
| e11 = inv1(e12)
| e10 = inv1(e12)
| e12 = inv1(e12) )
& unit1 = op1(e12,inv1(e12))
& ( e13 = inv1(e13)
| e12 = inv1(e13)
| e11 = inv1(e13)
| e10 = inv1(e13) )
& unit1 = op1(e10,inv1(e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5150,plain,
( spl42_355
| ~ spl42_574 ),
inference(avatar_split_clause,[],[f3632,f3359,f2317]) ).
fof(f2317,plain,
( spl42_355
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_355])]) ).
fof(f3632,plain,
( e11 = op1(e11,e10)
| ~ spl42_574 ),
inference(forward_demodulation,[],[f778,f3361]) ).
fof(f778,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f3]) ).
fof(f5145,plain,
( spl42_209
| ~ spl42_574 ),
inference(avatar_split_clause,[],[f3630,f3359,f1663]) ).
fof(f1663,plain,
( spl42_209
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f3630,plain,
( e11 = op1(e10,e11)
| ~ spl42_574 ),
inference(forward_demodulation,[],[f777,f3361]) ).
fof(f777,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f3]) ).
fof(f5140,plain,
( ~ spl42_550
| ~ spl42_281 ),
inference(avatar_split_clause,[],[f4558,f1988,f3238]) ).
fof(f3238,plain,
( spl42_550
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_550])]) ).
fof(f1988,plain,
( spl42_281
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f4558,plain,
( e20 != op2(e21,e22)
| ~ spl42_281 ),
inference(forward_demodulation,[],[f707,f1990]) ).
fof(f1990,plain,
( e20 = op2(e22,e22)
| ~ spl42_281 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f707,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f5138,plain,
( ~ spl42_234
| ~ spl42_406 ),
inference(avatar_split_clause,[],[f4768,f2533,f1780]) ).
fof(f1780,plain,
( spl42_234
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).
fof(f4768,plain,
( e13 != op1(e13,e12)
| ~ spl42_406 ),
inference(forward_demodulation,[],[f223,f2535]) ).
fof(f2535,plain,
( e13 = op1(e13,e10)
| ~ spl42_406 ),
inference(avatar_component_clause,[],[f2533]) ).
fof(f223,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op1(e11,e11) != op1(e12,e11)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e10) != op1(e13,e10)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e10) != op1(e12,e10)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e10) != op1(e12,e11)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e11,e11) != op1(e13,e11)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e11) != op1(e12,e11)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f5133,plain,
( ~ spl42_586
| ~ spl42_442 ),
inference(avatar_split_clause,[],[f4247,f2707,f3419]) ).
fof(f3419,plain,
( spl42_586
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_586])]) ).
fof(f4247,plain,
( e12 != op1(e12,e11)
| ~ spl42_442 ),
inference(forward_demodulation,[],[f238,f2709]) ).
fof(f2709,plain,
( e12 = op1(e12,e10)
| ~ spl42_442 ),
inference(avatar_component_clause,[],[f2707]) ).
fof(f238,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f17]) ).
fof(f5128,plain,
( ~ spl42_309
| ~ spl42_437 ),
inference(avatar_split_clause,[],[f4840,f2683,f2119]) ).
fof(f2119,plain,
( spl42_309
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_309])]) ).
fof(f2683,plain,
( spl42_437
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_437])]) ).
fof(f4840,plain,
( e10 != op1(e11,e12)
| ~ spl42_437 ),
inference(forward_demodulation,[],[f235,f2685]) ).
fof(f2685,plain,
( e10 = op1(e11,e11)
| ~ spl42_437 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f235,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f5127,plain,
( ~ spl42_549
| spl42_20
| ~ spl42_233
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475 ),
inference(avatar_split_clause,[],[f5126,f2871,f2595,f2238,f1776,f868,f3234]) ).
fof(f868,plain,
( spl42_20
<=> h8(op1(e13,e12)) = op2(h8(e13),h8(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_20])]) ).
fof(f1776,plain,
( spl42_233
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f5126,plain,
( e23 != op2(e21,e22)
| spl42_20
| ~ spl42_233
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4663,f2872]) ).
fof(f4663,plain,
( op2(e21,e22) != h8(e11)
| spl42_20
| ~ spl42_233
| ~ spl42_336
| ~ spl42_419 ),
inference(forward_demodulation,[],[f4662,f1778]) ).
fof(f1778,plain,
( e11 = op1(e13,e12)
| ~ spl42_233 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f4662,plain,
( op2(e21,e22) != h8(op1(e13,e12))
| spl42_20
| ~ spl42_336
| ~ spl42_419 ),
inference(forward_demodulation,[],[f4661,f2239]) ).
fof(f4661,plain,
( h8(op1(e13,e12)) != op2(h8(e13),e22)
| spl42_20
| ~ spl42_419 ),
inference(forward_demodulation,[],[f870,f2596]) ).
fof(f870,plain,
( h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| spl42_20 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f5121,plain,
( ~ spl42_235
| ~ spl42_524 ),
inference(avatar_split_clause,[],[f4764,f3116,f1784]) ).
fof(f1784,plain,
( spl42_235
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f3116,plain,
( spl42_524
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_524])]) ).
fof(f4764,plain,
( e12 != op1(e13,e12)
| ~ spl42_524 ),
inference(forward_demodulation,[],[f243,f3118]) ).
fof(f3118,plain,
( e12 = op1(e10,e12)
| ~ spl42_524 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f243,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f5107,plain,
( ~ spl42_356
| ~ spl42_520 ),
inference(avatar_split_clause,[],[f4916,f3096,f2321]) ).
fof(f2321,plain,
( spl42_356
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_356])]) ).
fof(f3096,plain,
( spl42_520
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_520])]) ).
fof(f4916,plain,
( e10 != op1(e11,e10)
| ~ spl42_520 ),
inference(forward_demodulation,[],[f239,f3098]) ).
fof(f3098,plain,
( e10 = op1(e10,e10)
| ~ spl42_520 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f239,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f17]) ).
fof(f5097,plain,
( spl42_524
| ~ spl42_574 ),
inference(avatar_split_clause,[],[f3640,f3359,f3116]) ).
fof(f3640,plain,
( e12 = op1(e10,e12)
| ~ spl42_574 ),
inference(forward_demodulation,[],[f782,f3361]) ).
fof(f782,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f3]) ).
fof(f5094,plain,
( ~ spl42_311
| ~ spl42_355 ),
inference(avatar_split_clause,[],[f4856,f2317,f2127]) ).
fof(f2127,plain,
( spl42_311
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_311])]) ).
fof(f4856,plain,
( e11 != op1(e11,e12)
| ~ spl42_355 ),
inference(forward_demodulation,[],[f246,f2319]) ).
fof(f2319,plain,
( e11 = op1(e11,e10)
| ~ spl42_355 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f246,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f5093,plain,
( ~ spl42_551
| ~ spl42_448 ),
inference(avatar_split_clause,[],[f5092,f2738,f3242]) ).
fof(f3242,plain,
( spl42_551
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_551])]) ).
fof(f2738,plain,
( spl42_448
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_448])]) ).
fof(f5092,plain,
( e21 != op2(e21,e22)
| ~ spl42_448 ),
inference(forward_demodulation,[],[f695,f2740]) ).
fof(f2740,plain,
( e21 = op2(e21,e20)
| ~ spl42_448 ),
inference(avatar_component_clause,[],[f2738]) ).
fof(f695,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f5074,plain,
( ~ spl42_565
| ~ spl42_406 ),
inference(avatar_split_clause,[],[f4195,f2533,f3312]) ).
fof(f3312,plain,
( spl42_565
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_565])]) ).
fof(f4195,plain,
( e13 != op1(e13,e11)
| ~ spl42_406 ),
inference(forward_demodulation,[],[f214,f2535]) ).
fof(f214,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f17]) ).
fof(f5069,plain,
( ~ spl42_308
| ~ spl42_524 ),
inference(avatar_split_clause,[],[f4838,f3116,f2115]) ).
fof(f2115,plain,
( spl42_308
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_308])]) ).
fof(f4838,plain,
( e12 != op1(e11,e12)
| ~ spl42_524 ),
inference(forward_demodulation,[],[f241,f3118]) ).
fof(f241,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f5049,plain,
( spl42_301
| ~ spl42_574 ),
inference(avatar_split_clause,[],[f3636,f3359,f2082]) ).
fof(f2082,plain,
( spl42_301
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_301])]) ).
fof(f3636,plain,
( e13 = op1(e10,e13)
| ~ spl42_574 ),
inference(forward_demodulation,[],[f780,f3361]) ).
fof(f780,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f3]) ).
fof(f5046,plain,
( ~ spl42_509
| ~ spl42_301 ),
inference(avatar_split_clause,[],[f4176,f2082,f3043]) ).
fof(f3043,plain,
( spl42_509
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_509])]) ).
fof(f4176,plain,
( e13 != op1(e11,e13)
| ~ spl42_301 ),
inference(forward_demodulation,[],[f217,f2084]) ).
fof(f2084,plain,
( e13 = op1(e10,e13)
| ~ spl42_301 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f217,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f5043,plain,
( ~ spl42_171
| ~ spl42_216 ),
inference(avatar_contradiction_clause,[],[f5042]) ).
fof(f5042,plain,
( $false
| ~ spl42_171
| ~ spl42_216 ),
inference(subsumption_resolution,[],[f5041,f672]) ).
fof(f672,plain,
e10 != e13,
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( e10 != e11
& e10 != e12
& e12 != e13
& e11 != e13
& e10 != e13
& e11 != e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f5041,plain,
( e10 = e13
| ~ spl42_171
| ~ spl42_216 ),
inference(backward_demodulation,[],[f1698,f1501]) ).
fof(f1501,plain,
( e13 = op1(e13,e13)
| ~ spl42_171 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1499,plain,
( spl42_171
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f5039,plain,
( spl42_356
| ~ spl42_576 ),
inference(avatar_split_clause,[],[f5036,f3367,f2321]) ).
fof(f3367,plain,
( spl42_576
<=> e11 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_576])]) ).
fof(f5036,plain,
( e10 = op1(e11,e10)
| ~ spl42_576 ),
inference(forward_demodulation,[],[f785,f3369]) ).
fof(f3369,plain,
( e11 = unit1
| ~ spl42_576 ),
inference(avatar_component_clause,[],[f3367]) ).
fof(f785,plain,
e10 = op1(unit1,e10),
inference(cnf_transformation,[],[f3]) ).
fof(f5004,plain,
( spl42_424
| ~ spl42_577 ),
inference(avatar_contradiction_clause,[],[f5003]) ).
fof(f5003,plain,
( $false
| spl42_424
| ~ spl42_577 ),
inference(subsumption_resolution,[],[f5002,f2621]) ).
fof(f2621,plain,
( e13 != inv1(e13)
| spl42_424 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f5002,plain,
( e13 = inv1(e13)
| ~ spl42_577 ),
inference(forward_demodulation,[],[f499,f3373]) ).
fof(f3373,plain,
( e13 = unit1
| ~ spl42_577 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f3371,plain,
( spl42_577
<=> e13 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_577])]) ).
fof(f499,plain,
unit1 = inv1(unit1),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
unit1 = inv1(unit1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f4993,plain,
( spl42_585
| ~ spl42_575 ),
inference(avatar_split_clause,[],[f4992,f3363,f3415]) ).
fof(f3415,plain,
( spl42_585
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_585])]) ).
fof(f3363,plain,
( spl42_575
<=> e12 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_575])]) ).
fof(f4992,plain,
( e11 = op1(e12,e11)
| ~ spl42_575 ),
inference(forward_demodulation,[],[f777,f3365]) ).
fof(f3365,plain,
( e12 = unit1
| ~ spl42_575 ),
inference(avatar_component_clause,[],[f3363]) ).
fof(f4960,plain,
( ~ spl42_585
| ~ spl42_467 ),
inference(avatar_split_clause,[],[f4179,f2827,f3415]) ).
fof(f2827,plain,
( spl42_467
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_467])]) ).
fof(f4179,plain,
( e11 != op1(e12,e11)
| ~ spl42_467 ),
inference(forward_demodulation,[],[f218,f2829]) ).
fof(f2829,plain,
( e11 = op1(e12,e13)
| ~ spl42_467 ),
inference(avatar_component_clause,[],[f2827]) ).
fof(f218,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f4936,plain,
( ~ spl42_588
| ~ spl42_239 ),
inference(avatar_split_clause,[],[f4159,f1802,f3427]) ).
fof(f3427,plain,
( spl42_588
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_588])]) ).
fof(f1802,plain,
( spl42_239
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).
fof(f4159,plain,
( e10 != op1(e12,e11)
| ~ spl42_239 ),
inference(forward_demodulation,[],[f210,f1804]) ).
fof(f1804,plain,
( e10 = op1(e12,e12)
| ~ spl42_239 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f210,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f17]) ).
fof(f4872,plain,
( ~ spl42_181
| ~ spl42_543 ),
inference(avatar_split_clause,[],[f4808,f3207,f1544]) ).
fof(f1544,plain,
( spl42_181
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f3207,plain,
( spl42_543
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_543])]) ).
fof(f4808,plain,
( e23 != op2(e23,e22)
| ~ spl42_543 ),
inference(forward_demodulation,[],[f699,f3209]) ).
fof(f3209,plain,
( e23 = op2(e23,e20)
| ~ spl42_543 ),
inference(avatar_component_clause,[],[f3207]) ).
fof(f699,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f4866,plain,
( ~ spl42_213
| ~ spl42_216 ),
inference(avatar_contradiction_clause,[],[f4865]) ).
fof(f4865,plain,
( $false
| ~ spl42_213
| ~ spl42_216 ),
inference(subsumption_resolution,[],[f4864,f675]) ).
fof(f675,plain,
e10 != e12,
inference(cnf_transformation,[],[f19]) ).
fof(f4864,plain,
( e10 = e12
| ~ spl42_213
| ~ spl42_216 ),
inference(forward_demodulation,[],[f1684,f1698]) ).
fof(f1684,plain,
( e12 = op1(e13,e13)
| ~ spl42_213 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1682,plain,
( spl42_213
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f4822,plain,
( ~ spl42_175
| spl42_21
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475
| ~ spl42_512 ),
inference(avatar_split_clause,[],[f4821,f3055,f2871,f2595,f2238,f872,f1519]) ).
fof(f1519,plain,
( spl42_175
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).
fof(f872,plain,
( spl42_21
<=> h8(op1(e11,e13)) = op2(h8(e11),h8(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f3055,plain,
( spl42_512
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_512])]) ).
fof(f4821,plain,
( e22 != op2(e23,e21)
| spl42_21
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475
| ~ spl42_512 ),
inference(forward_demodulation,[],[f4676,f2596]) ).
fof(f4676,plain,
( op2(e23,e21) != h8(e12)
| spl42_21
| ~ spl42_336
| ~ spl42_475
| ~ spl42_512 ),
inference(forward_demodulation,[],[f4675,f3057]) ).
fof(f3057,plain,
( e12 = op1(e11,e13)
| ~ spl42_512 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f4675,plain,
( op2(e23,e21) != h8(op1(e11,e13))
| spl42_21
| ~ spl42_336
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4674,f2872]) ).
fof(f4674,plain,
( h8(op1(e11,e13)) != op2(h8(e11),e21)
| spl42_21
| ~ spl42_336 ),
inference(forward_demodulation,[],[f874,f2239]) ).
fof(f874,plain,
( h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| spl42_21 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f4814,plain,
( ~ spl42_182
| ~ spl42_294 ),
inference(avatar_split_clause,[],[f4369,f2049,f1548]) ).
fof(f1548,plain,
( spl42_182
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).
fof(f2049,plain,
( spl42_294
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_294])]) ).
fof(f4369,plain,
( e20 != op2(e23,e22)
| ~ spl42_294 ),
inference(forward_demodulation,[],[f685,f2051]) ).
fof(f2051,plain,
( e20 = op2(e23,e23)
| ~ spl42_294 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f685,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f4811,plain,
( ~ spl42_177
| ~ spl42_274 ),
inference(avatar_split_clause,[],[f4810,f1958,f1527]) ).
fof(f1527,plain,
( spl42_177
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f1958,plain,
( spl42_274
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_274])]) ).
fof(f4810,plain,
( e21 != op2(e23,e21)
| ~ spl42_274 ),
inference(forward_demodulation,[],[f718,f1960]) ).
fof(f1960,plain,
( e21 = op2(e20,e21)
| ~ spl42_274 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f718,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f18]) ).
fof(f4791,plain,
( ~ spl42_179
| ~ spl42_162 ),
inference(avatar_split_clause,[],[f4790,f1458,f1536]) ).
fof(f1536,plain,
( spl42_179
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f1458,plain,
( spl42_162
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).
fof(f4790,plain,
( e22 != op2(e23,e22)
| ~ spl42_162 ),
inference(forward_demodulation,[],[f704,f1460]) ).
fof(f1460,plain,
( e22 = op2(e20,e22)
| ~ spl42_162 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f704,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f4759,plain,
( spl42_30
| ~ spl42_336
| ~ spl42_406
| ~ spl42_448
| ~ spl42_498 ),
inference(avatar_contradiction_clause,[],[f4758]) ).
fof(f4758,plain,
( $false
| spl42_30
| ~ spl42_336
| ~ spl42_406
| ~ spl42_448
| ~ spl42_498 ),
inference(subsumption_resolution,[],[f4757,f2740]) ).
fof(f4757,plain,
( e21 != op2(e21,e20)
| spl42_30
| ~ spl42_336
| ~ spl42_406
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4756,f2239]) ).
fof(f4756,plain,
( op2(e21,e20) != h8(e13)
| spl42_30
| ~ spl42_336
| ~ spl42_406
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4755,f2535]) ).
fof(f4755,plain,
( op2(e21,e20) != h8(op1(e13,e10))
| spl42_30
| ~ spl42_336
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4754,f2239]) ).
fof(f4754,plain,
( h8(op1(e13,e10)) != op2(h8(e13),e20)
| spl42_30
| ~ spl42_498 ),
inference(forward_demodulation,[],[f910,f2988]) ).
fof(f2988,plain,
( e20 = h8(e10)
| ~ spl42_498 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f2987,plain,
( spl42_498
<=> e20 = h8(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_498])]) ).
fof(f910,plain,
( h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| spl42_30 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl42_30
<=> h8(op1(e13,e10)) = op2(h8(e13),h8(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f4753,plain,
( spl42_28
| ~ spl42_355
| ~ spl42_475
| ~ spl42_498
| ~ spl42_543 ),
inference(avatar_contradiction_clause,[],[f4752]) ).
fof(f4752,plain,
( $false
| spl42_28
| ~ spl42_355
| ~ spl42_475
| ~ spl42_498
| ~ spl42_543 ),
inference(subsumption_resolution,[],[f4751,f3209]) ).
fof(f4751,plain,
( e23 != op2(e23,e20)
| spl42_28
| ~ spl42_355
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4750,f2872]) ).
fof(f4750,plain,
( op2(e23,e20) != h8(e11)
| spl42_28
| ~ spl42_355
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4749,f2319]) ).
fof(f4749,plain,
( op2(e23,e20) != h8(op1(e11,e10))
| spl42_28
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4748,f2872]) ).
fof(f4748,plain,
( h8(op1(e11,e10)) != op2(h8(e11),e20)
| spl42_28
| ~ spl42_498 ),
inference(forward_demodulation,[],[f902,f2988]) ).
fof(f902,plain,
( h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| spl42_28 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f900,plain,
( spl42_28
<=> h8(op1(e11,e10)) = op2(h8(e11),h8(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).
fof(f4743,plain,
( spl42_29
| ~ spl42_336
| ~ spl42_419
| ~ spl42_427
| ~ spl42_475
| ~ spl42_587 ),
inference(avatar_contradiction_clause,[],[f4742]) ).
fof(f4742,plain,
( $false
| spl42_29
| ~ spl42_336
| ~ spl42_419
| ~ spl42_427
| ~ spl42_475
| ~ spl42_587 ),
inference(subsumption_resolution,[],[f4741,f2635]) ).
fof(f2635,plain,
( e21 = op2(e22,e23)
| ~ spl42_427 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2633,plain,
( spl42_427
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_427])]) ).
fof(f4741,plain,
( e21 != op2(e22,e23)
| spl42_29
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475
| ~ spl42_587 ),
inference(forward_demodulation,[],[f4740,f2239]) ).
fof(f4740,plain,
( op2(e22,e23) != h8(e13)
| spl42_29
| ~ spl42_419
| ~ spl42_475
| ~ spl42_587 ),
inference(forward_demodulation,[],[f4739,f3425]) ).
fof(f3425,plain,
( e13 = op1(e12,e11)
| ~ spl42_587 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f3423,plain,
( spl42_587
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_587])]) ).
fof(f4739,plain,
( op2(e22,e23) != h8(op1(e12,e11))
| spl42_29
| ~ spl42_419
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4738,f2596]) ).
fof(f4738,plain,
( h8(op1(e12,e11)) != op2(h8(e12),e23)
| spl42_29
| ~ spl42_475 ),
inference(forward_demodulation,[],[f906,f2872]) ).
fof(f906,plain,
( h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| spl42_29 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f904,plain,
( spl42_29
<=> h8(op1(e12,e11)) = op2(h8(e12),h8(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_29])]) ).
fof(f4731,plain,
( spl42_225
| ~ spl42_287 ),
inference(avatar_split_clause,[],[f4083,f2016,f1740]) ).
fof(f1740,plain,
( spl42_225
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).
fof(f2016,plain,
( spl42_287
<=> e20 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_287])]) ).
fof(f4083,plain,
( e23 = op2(e20,e23)
| ~ spl42_287 ),
inference(forward_demodulation,[],[f201,f2018]) ).
fof(f2018,plain,
( e20 = unit2
| ~ spl42_287 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f201,plain,
e23 = op2(unit2,e23),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e22 = op2(e22,unit2)
& e23 = op2(e23,unit2)
& e21 = op2(unit2,e21)
& ( e22 = unit2
| e21 = unit2
| e23 = unit2
| e20 = unit2 )
& e22 = op2(unit2,e22)
& e23 = op2(unit2,e23)
& e20 = op2(e20,unit2)
& e20 = op2(unit2,e20)
& e21 = op2(e21,unit2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f4729,plain,
( ~ spl42_225
| spl42_26
| ~ spl42_209
| ~ spl42_475
| ~ spl42_498 ),
inference(avatar_split_clause,[],[f4715,f2987,f2871,f1663,f892,f1740]) ).
fof(f892,plain,
( spl42_26
<=> h8(op1(e10,e11)) = op2(h8(e10),h8(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f4715,plain,
( e23 != op2(e20,e23)
| spl42_26
| ~ spl42_209
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4714,f2872]) ).
fof(f4714,plain,
( op2(e20,e23) != h8(e11)
| spl42_26
| ~ spl42_209
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4713,f1665]) ).
fof(f1665,plain,
( e11 = op1(e10,e11)
| ~ spl42_209 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f4713,plain,
( op2(e20,e23) != h8(op1(e10,e11))
| spl42_26
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4712,f2988]) ).
fof(f4712,plain,
( h8(op1(e10,e11)) != op2(h8(e10),e23)
| spl42_26
| ~ spl42_475 ),
inference(forward_demodulation,[],[f894,f2872]) ).
fof(f894,plain,
( h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| spl42_26 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f4704,plain,
( spl42_27
| ~ spl42_162
| ~ spl42_419
| ~ spl42_498
| ~ spl42_524 ),
inference(avatar_contradiction_clause,[],[f4703]) ).
fof(f4703,plain,
( $false
| spl42_27
| ~ spl42_162
| ~ spl42_419
| ~ spl42_498
| ~ spl42_524 ),
inference(subsumption_resolution,[],[f4702,f1460]) ).
fof(f4702,plain,
( e22 != op2(e20,e22)
| spl42_27
| ~ spl42_419
| ~ spl42_498
| ~ spl42_524 ),
inference(forward_demodulation,[],[f4701,f2596]) ).
fof(f4701,plain,
( op2(e20,e22) != h8(e12)
| spl42_27
| ~ spl42_419
| ~ spl42_498
| ~ spl42_524 ),
inference(forward_demodulation,[],[f4700,f3118]) ).
fof(f4700,plain,
( op2(e20,e22) != h8(op1(e10,e12))
| spl42_27
| ~ spl42_419
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4699,f2988]) ).
fof(f4699,plain,
( h8(op1(e10,e12)) != op2(h8(e10),e22)
| spl42_27
| ~ spl42_419 ),
inference(forward_demodulation,[],[f898,f2596]) ).
fof(f898,plain,
( h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| spl42_27 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl42_27
<=> h8(op1(e10,e12)) = op2(h8(e10),h8(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).
fof(f4694,plain,
( spl42_24
| ~ spl42_239
| ~ spl42_281
| ~ spl42_419
| ~ spl42_498 ),
inference(avatar_contradiction_clause,[],[f4693]) ).
fof(f4693,plain,
( $false
| spl42_24
| ~ spl42_239
| ~ spl42_281
| ~ spl42_419
| ~ spl42_498 ),
inference(subsumption_resolution,[],[f4692,f1990]) ).
fof(f4692,plain,
( e20 != op2(e22,e22)
| spl42_24
| ~ spl42_239
| ~ spl42_419
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4691,f2988]) ).
fof(f4691,plain,
( op2(e22,e22) != h8(e10)
| spl42_24
| ~ spl42_239
| ~ spl42_419 ),
inference(forward_demodulation,[],[f4690,f1804]) ).
fof(f4690,plain,
( op2(e22,e22) != h8(op1(e12,e12))
| spl42_24
| ~ spl42_419 ),
inference(forward_demodulation,[],[f886,f2596]) ).
fof(f886,plain,
( h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| spl42_24 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl42_24
<=> h8(op1(e12,e12)) = op2(h8(e12),h8(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f4689,plain,
( spl42_25
| ~ spl42_274
| ~ spl42_301
| ~ spl42_336
| ~ spl42_498 ),
inference(avatar_contradiction_clause,[],[f4688]) ).
fof(f4688,plain,
( $false
| spl42_25
| ~ spl42_274
| ~ spl42_301
| ~ spl42_336
| ~ spl42_498 ),
inference(subsumption_resolution,[],[f4687,f1960]) ).
fof(f4687,plain,
( e21 != op2(e20,e21)
| spl42_25
| ~ spl42_301
| ~ spl42_336
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4686,f2239]) ).
fof(f4686,plain,
( op2(e20,e21) != h8(e13)
| spl42_25
| ~ spl42_301
| ~ spl42_336
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4685,f2084]) ).
fof(f4685,plain,
( op2(e20,e21) != h8(op1(e10,e13))
| spl42_25
| ~ spl42_336
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4684,f2988]) ).
fof(f4684,plain,
( h8(op1(e10,e13)) != op2(h8(e10),e21)
| spl42_25
| ~ spl42_336 ),
inference(forward_demodulation,[],[f890,f2239]) ).
fof(f890,plain,
( h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| spl42_25 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl42_25
<=> h8(op1(e10,e13)) = op2(h8(e10),h8(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).
fof(f4660,plain,
( spl42_18
| ~ spl42_313
| ~ spl42_498
| ~ spl42_520 ),
inference(avatar_contradiction_clause,[],[f4659]) ).
fof(f4659,plain,
( $false
| spl42_18
| ~ spl42_313
| ~ spl42_498
| ~ spl42_520 ),
inference(subsumption_resolution,[],[f4658,f2139]) ).
fof(f2139,plain,
( e20 = op2(e20,e20)
| ~ spl42_313 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f2137,plain,
( spl42_313
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_313])]) ).
fof(f4658,plain,
( e20 != op2(e20,e20)
| spl42_18
| ~ spl42_498
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4657,f2988]) ).
fof(f4657,plain,
( op2(e20,e20) != h8(e10)
| spl42_18
| ~ spl42_498
| ~ spl42_520 ),
inference(forward_demodulation,[],[f4656,f3098]) ).
fof(f4656,plain,
( op2(e20,e20) != h8(op1(e10,e10))
| spl42_18
| ~ spl42_498 ),
inference(forward_demodulation,[],[f862,f2988]) ).
fof(f862,plain,
( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| spl42_18 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl42_18
<=> h8(op1(e10,e10)) = op2(h8(e10),h8(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_18])]) ).
fof(f4652,plain,
( spl42_17
| ~ spl42_168
| ~ spl42_216
| ~ spl42_336
| ~ spl42_498 ),
inference(avatar_contradiction_clause,[],[f4651]) ).
fof(f4651,plain,
( $false
| spl42_17
| ~ spl42_168
| ~ spl42_216
| ~ spl42_336
| ~ spl42_498 ),
inference(subsumption_resolution,[],[f4650,f1488]) ).
fof(f1488,plain,
( e20 = op2(e21,e21)
| ~ spl42_168 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1486,plain,
( spl42_168
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).
fof(f4650,plain,
( e20 != op2(e21,e21)
| spl42_17
| ~ spl42_216
| ~ spl42_336
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4649,f2988]) ).
fof(f4649,plain,
( op2(e21,e21) != h8(e10)
| spl42_17
| ~ spl42_216
| ~ spl42_336 ),
inference(forward_demodulation,[],[f4648,f1698]) ).
fof(f4648,plain,
( op2(e21,e21) != h8(op1(e13,e13))
| spl42_17
| ~ spl42_336 ),
inference(forward_demodulation,[],[f858,f2239]) ).
fof(f858,plain,
( h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| spl42_17 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl42_17
<=> h8(op1(e13,e13)) = op2(h8(e13),h8(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f4643,plain,
( spl42_16
| ~ spl42_180
| ~ spl42_310
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475 ),
inference(avatar_contradiction_clause,[],[f4642]) ).
fof(f4642,plain,
( $false
| spl42_16
| ~ spl42_180
| ~ spl42_310
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475 ),
inference(subsumption_resolution,[],[f4641,f1542]) ).
fof(f1542,plain,
( e21 = op2(e23,e22)
| ~ spl42_180 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1540,plain,
( spl42_180
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).
fof(f4641,plain,
( e21 != op2(e23,e22)
| spl42_16
| ~ spl42_310
| ~ spl42_336
| ~ spl42_419
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4640,f2239]) ).
fof(f4640,plain,
( op2(e23,e22) != h8(e13)
| spl42_16
| ~ spl42_310
| ~ spl42_419
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4639,f2125]) ).
fof(f2125,plain,
( e13 = op1(e11,e12)
| ~ spl42_310 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2123,plain,
( spl42_310
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_310])]) ).
fof(f4639,plain,
( op2(e23,e22) != h8(op1(e11,e12))
| spl42_16
| ~ spl42_419
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4638,f2872]) ).
fof(f4638,plain,
( h8(op1(e11,e12)) != op2(h8(e11),e22)
| spl42_16
| ~ spl42_419 ),
inference(forward_demodulation,[],[f854,f2596]) ).
fof(f854,plain,
( h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| spl42_16 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f852,plain,
( spl42_16
<=> h8(op1(e11,e12)) = op2(h8(e11),h8(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f4633,plain,
( spl42_14
| ~ spl42_97
| ~ spl42_419
| ~ spl42_442
| ~ spl42_498 ),
inference(avatar_contradiction_clause,[],[f4632]) ).
fof(f4632,plain,
( $false
| spl42_14
| ~ spl42_97
| ~ spl42_419
| ~ spl42_442
| ~ spl42_498 ),
inference(subsumption_resolution,[],[f4631,f1185]) ).
fof(f1185,plain,
( e22 = op2(e22,e20)
| ~ spl42_97 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1183,plain,
( spl42_97
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).
fof(f4631,plain,
( e22 != op2(e22,e20)
| spl42_14
| ~ spl42_419
| ~ spl42_442
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4630,f2596]) ).
fof(f4630,plain,
( op2(e22,e20) != h8(e12)
| spl42_14
| ~ spl42_419
| ~ spl42_442
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4629,f2709]) ).
fof(f4629,plain,
( op2(e22,e20) != h8(op1(e12,e10))
| spl42_14
| ~ spl42_419
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4628,f2596]) ).
fof(f4628,plain,
( h8(op1(e12,e10)) != op2(h8(e12),e20)
| spl42_14
| ~ spl42_498 ),
inference(forward_demodulation,[],[f846,f2988]) ).
fof(f846,plain,
( h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| spl42_14 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl42_14
<=> h8(op1(e12,e10)) = op2(h8(e12),h8(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_14])]) ).
fof(f4623,plain,
( spl42_13
| ~ spl42_336
| ~ spl42_419
| ~ spl42_467
| ~ spl42_475
| ~ spl42_529 ),
inference(avatar_contradiction_clause,[],[f4622]) ).
fof(f4622,plain,
( $false
| spl42_13
| ~ spl42_336
| ~ spl42_419
| ~ spl42_467
| ~ spl42_475
| ~ spl42_529 ),
inference(subsumption_resolution,[],[f4621,f3139]) ).
fof(f3139,plain,
( e23 = op2(e22,e21)
| ~ spl42_529 ),
inference(avatar_component_clause,[],[f3137]) ).
fof(f3137,plain,
( spl42_529
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_529])]) ).
fof(f4621,plain,
( e23 != op2(e22,e21)
| spl42_13
| ~ spl42_336
| ~ spl42_419
| ~ spl42_467
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4620,f2872]) ).
fof(f4620,plain,
( op2(e22,e21) != h8(e11)
| spl42_13
| ~ spl42_336
| ~ spl42_419
| ~ spl42_467 ),
inference(forward_demodulation,[],[f4619,f2829]) ).
fof(f4619,plain,
( op2(e22,e21) != h8(op1(e12,e13))
| spl42_13
| ~ spl42_336
| ~ spl42_419 ),
inference(forward_demodulation,[],[f4618,f2596]) ).
fof(f4618,plain,
( h8(op1(e12,e13)) != op2(h8(e12),e21)
| spl42_13
| ~ spl42_336 ),
inference(forward_demodulation,[],[f842,f2239]) ).
fof(f842,plain,
( h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| spl42_13 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl42_13
<=> h8(op1(e12,e13)) = op2(h8(e12),h8(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_13])]) ).
fof(f4610,plain,
( spl42_11
| ~ spl42_294
| ~ spl42_437
| ~ spl42_475
| ~ spl42_498 ),
inference(avatar_contradiction_clause,[],[f4609]) ).
fof(f4609,plain,
( $false
| spl42_11
| ~ spl42_294
| ~ spl42_437
| ~ spl42_475
| ~ spl42_498 ),
inference(subsumption_resolution,[],[f4608,f2051]) ).
fof(f4608,plain,
( e20 != op2(e23,e23)
| spl42_11
| ~ spl42_437
| ~ spl42_475
| ~ spl42_498 ),
inference(forward_demodulation,[],[f4607,f2988]) ).
fof(f4607,plain,
( op2(e23,e23) != h8(e10)
| spl42_11
| ~ spl42_437
| ~ spl42_475 ),
inference(forward_demodulation,[],[f4606,f2685]) ).
fof(f4606,plain,
( op2(e23,e23) != h8(op1(e11,e11))
| spl42_11
| ~ spl42_475 ),
inference(forward_demodulation,[],[f834,f2872]) ).
fof(f834,plain,
( h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| spl42_11 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl42_11
<=> h8(op1(e11,e11)) = op2(h8(e11),h8(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f4573,plain,
( ~ spl42_360
| ~ spl42_168 ),
inference(avatar_split_clause,[],[f4572,f1486,f2338]) ).
fof(f2338,plain,
( spl42_360
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_360])]) ).
fof(f4572,plain,
( e20 != op2(e21,e23)
| ~ spl42_168 ),
inference(forward_demodulation,[],[f711,f1488]) ).
fof(f711,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f4571,plain,
( ~ spl42_362
| ~ spl42_427 ),
inference(avatar_split_clause,[],[f4562,f2633,f2346]) ).
fof(f2346,plain,
( spl42_362
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_362])]) ).
fof(f4562,plain,
( e21 != op2(e21,e23)
| ~ spl42_427 ),
inference(forward_demodulation,[],[f709,f2635]) ).
fof(f709,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f4547,plain,
( spl42_475
| ~ spl42_529 ),
inference(avatar_split_clause,[],[f4546,f3137,f2871]) ).
fof(f4546,plain,
( e23 = h8(e11)
| ~ spl42_529 ),
inference(forward_demodulation,[],[f478,f3139]) ).
fof(f478,plain,
op2(e22,e21) = h8(e11),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( op2(e22,e21) = h8(e11)
& e21 = h8(e13)
& op2(e21,e21) = h8(e10)
& e22 = h8(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f4542,plain,
( ~ spl42_527
| ~ spl42_274 ),
inference(avatar_split_clause,[],[f4541,f1958,f3129]) ).
fof(f3129,plain,
( spl42_527
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_527])]) ).
fof(f4541,plain,
( e21 != op2(e22,e21)
| ~ spl42_274 ),
inference(forward_demodulation,[],[f701,f1960]) ).
fof(f701,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f18]) ).
fof(f4540,plain,
( ~ spl42_530
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f4539,f1183,f3141]) ).
fof(f3141,plain,
( spl42_530
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_530])]) ).
fof(f4539,plain,
( e22 != op2(e22,e21)
| ~ spl42_97 ),
inference(forward_demodulation,[],[f690,f1185]) ).
fof(f690,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f18]) ).
fof(f4497,plain,
( ~ spl42_176
| ~ spl42_543 ),
inference(avatar_split_clause,[],[f4432,f3207,f1523]) ).
fof(f1523,plain,
( spl42_176
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).
fof(f4432,plain,
( e23 != op2(e23,e21)
| ~ spl42_543 ),
inference(forward_demodulation,[],[f686,f3209]) ).
fof(f686,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f18]) ).
fof(f4454,plain,
( spl42_287
| ~ spl42_294
| ~ spl42_478 ),
inference(avatar_split_clause,[],[f4060,f2887,f2049,f2016]) ).
fof(f2887,plain,
( spl42_478
<=> e23 = inv2(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_478])]) ).
fof(f4060,plain,
( e20 = unit2
| ~ spl42_294
| ~ spl42_478 ),
inference(forward_demodulation,[],[f4041,f2051]) ).
fof(f4041,plain,
( op2(e23,e23) = unit2
| ~ spl42_478 ),
inference(forward_demodulation,[],[f506,f2889]) ).
fof(f2889,plain,
( e23 = inv2(e23)
| ~ spl42_478 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f506,plain,
unit2 = op2(inv2(e23),e23),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( unit2 = op2(e20,inv2(e20))
& ( e23 = inv2(e21)
| e22 = inv2(e21)
| e21 = inv2(e21)
| e20 = inv2(e21) )
& ( e20 = inv2(e23)
| e21 = inv2(e23)
| e23 = inv2(e23)
| e22 = inv2(e23) )
& ( e22 = inv2(e22)
| e23 = inv2(e22)
| e20 = inv2(e22)
| e21 = inv2(e22) )
& unit2 = op2(e23,inv2(e23))
& unit2 = op2(inv2(e20),e20)
& unit2 = op2(e21,inv2(e21))
& unit2 = op2(e22,inv2(e22))
& ( e21 = inv2(e20)
| e22 = inv2(e20)
| e20 = inv2(e20)
| e23 = inv2(e20) )
& unit2 = op2(inv2(e23),e23)
& unit2 = op2(inv2(e22),e22)
& unit2 = op2(inv2(e21),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f4423,plain,
( spl42_287
| ~ spl42_281
| ~ spl42_593 ),
inference(avatar_split_clause,[],[f4422,f3454,f1988,f2016]) ).
fof(f3454,plain,
( spl42_593
<=> e22 = inv2(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_593])]) ).
fof(f4422,plain,
( e20 = unit2
| ~ spl42_281
| ~ spl42_593 ),
inference(forward_demodulation,[],[f4421,f1990]) ).
fof(f4421,plain,
( op2(e22,e22) = unit2
| ~ spl42_593 ),
inference(forward_demodulation,[],[f505,f3456]) ).
fof(f3456,plain,
( e22 = inv2(e22)
| ~ spl42_593 ),
inference(avatar_component_clause,[],[f3454]) ).
fof(f505,plain,
unit2 = op2(inv2(e22),e22),
inference(cnf_transformation,[],[f8]) ).
fof(f4406,plain,
( ~ spl42_178
| ~ spl42_294 ),
inference(avatar_split_clause,[],[f4403,f2049,f1531]) ).
fof(f1531,plain,
( spl42_178
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f4403,plain,
( e20 != op2(e23,e21)
| ~ spl42_294 ),
inference(forward_demodulation,[],[f693,f2051]) ).
fof(f693,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f18]) ).
fof(f4387,plain,
( ~ spl42_548
| ~ spl42_162 ),
inference(avatar_split_clause,[],[f4386,f1458,f3230]) ).
fof(f3230,plain,
( spl42_548
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_548])]) ).
fof(f4386,plain,
( e22 != op2(e21,e22)
| ~ spl42_162 ),
inference(forward_demodulation,[],[f682,f1460]) ).
fof(f682,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f4300,plain,
( ~ spl42_528
| ~ spl42_281 ),
inference(avatar_split_clause,[],[f4283,f1988,f3133]) ).
fof(f3133,plain,
( spl42_528
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_528])]) ).
fof(f4283,plain,
( e20 != op2(e22,e21)
| ~ spl42_281 ),
inference(forward_demodulation,[],[f677,f1990]) ).
fof(f677,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f18]) ).
fof(f4231,plain,
( ~ spl42_236
| ~ spl42_216 ),
inference(avatar_split_clause,[],[f4230,f1696,f1788]) ).
fof(f1788,plain,
( spl42_236
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_236])]) ).
fof(f4230,plain,
( e10 != op1(e13,e12)
| ~ spl42_216 ),
inference(forward_demodulation,[],[f232,f1698]) ).
fof(f232,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f4208,plain,
( ~ spl42_510
| ~ spl42_355 ),
inference(avatar_split_clause,[],[f4207,f2317,f3047]) ).
fof(f3047,plain,
( spl42_510
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_510])]) ).
fof(f4207,plain,
( e11 != op1(e11,e13)
| ~ spl42_355 ),
inference(forward_demodulation,[],[f224,f2319]) ).
fof(f224,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f4198,plain,
( ~ spl42_563
| ~ spl42_209 ),
inference(avatar_split_clause,[],[f4197,f1663,f3304]) ).
fof(f3304,plain,
( spl42_563
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_563])]) ).
fof(f4197,plain,
( e11 != op1(e13,e11)
| ~ spl42_209 ),
inference(forward_demodulation,[],[f222,f1665]) ).
fof(f222,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f17]) ).
fof(f4181,plain,
( ~ spl42_511
| ~ spl42_216 ),
inference(avatar_split_clause,[],[f4180,f1696,f3051]) ).
fof(f3051,plain,
( spl42_511
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_511])]) ).
fof(f4180,plain,
( e10 != op1(e11,e13)
| ~ spl42_216 ),
inference(forward_demodulation,[],[f219,f1698]) ).
fof(f219,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f4150,plain,
( ~ spl42_564
| ~ spl42_216 ),
inference(avatar_split_clause,[],[f4149,f1696,f3308]) ).
fof(f3308,plain,
( spl42_564
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_564])]) ).
fof(f4149,plain,
( e10 != op1(e13,e11)
| ~ spl42_216 ),
inference(forward_demodulation,[],[f208,f1698]) ).
fof(f208,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f17]) ).
fof(f4025,plain,
( spl42_478
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f4024,f2024,f2887]) ).
fof(f2024,plain,
( spl42_289
<=> e23 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).
fof(f4024,plain,
( e23 = inv2(e23)
| ~ spl42_289 ),
inference(forward_demodulation,[],[f670,f2026]) ).
fof(f2026,plain,
( e23 = unit2
| ~ spl42_289 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f670,plain,
unit2 = inv2(unit2),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
unit2 = inv2(unit2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f3961,plain,
( spl42_498
| ~ spl42_168 ),
inference(avatar_split_clause,[],[f3960,f1486,f2987]) ).
fof(f3960,plain,
( e20 = h8(e10)
| ~ spl42_168 ),
inference(forward_demodulation,[],[f476,f1488]) ).
fof(f476,plain,
op2(e21,e21) = h8(e10),
inference(cnf_transformation,[],[f33]) ).
fof(f3729,plain,
( spl42_97
| ~ spl42_287 ),
inference(avatar_split_clause,[],[f3725,f2016,f1183]) ).
fof(f3725,plain,
( e22 = op2(e22,e20)
| ~ spl42_287 ),
inference(forward_demodulation,[],[f206,f2018]) ).
fof(f206,plain,
e22 = op2(e22,unit2),
inference(cnf_transformation,[],[f7]) ).
fof(f3724,plain,
( spl42_543
| ~ spl42_287 ),
inference(avatar_split_clause,[],[f3723,f2016,f3207]) ).
fof(f3723,plain,
( e23 = op2(e23,e20)
| ~ spl42_287 ),
inference(forward_demodulation,[],[f205,f2018]) ).
fof(f205,plain,
e23 = op2(e23,unit2),
inference(cnf_transformation,[],[f7]) ).
fof(f3722,plain,
( spl42_274
| ~ spl42_287 ),
inference(avatar_split_clause,[],[f3718,f2016,f1958]) ).
fof(f3718,plain,
( e21 = op2(e20,e21)
| ~ spl42_287 ),
inference(forward_demodulation,[],[f204,f2018]) ).
fof(f204,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f7]) ).
fof(f3717,plain,
( spl42_162
| ~ spl42_287 ),
inference(avatar_split_clause,[],[f3713,f2016,f1458]) ).
fof(f3713,plain,
( e22 = op2(e20,e22)
| ~ spl42_287 ),
inference(forward_demodulation,[],[f202,f2018]) ).
fof(f202,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f7]) ).
fof(f3707,plain,
( spl42_448
| ~ spl42_287 ),
inference(avatar_split_clause,[],[f3706,f2016,f2738]) ).
fof(f3706,plain,
( e21 = op2(e21,e20)
| ~ spl42_287 ),
inference(forward_demodulation,[],[f198,f2018]) ).
fof(f198,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f7]) ).
fof(f3696,plain,
( ~ spl42_168
| ~ spl42_170 ),
inference(avatar_contradiction_clause,[],[f3695]) ).
fof(f3695,plain,
( $false
| ~ spl42_168
| ~ spl42_170 ),
inference(subsumption_resolution,[],[f3693,f669]) ).
fof(f669,plain,
e20 != e21,
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( e20 != e21
& e20 != e23
& e21 != e23
& e21 != e22
& e22 != e23
& e20 != e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f3693,plain,
( e20 = e21
| ~ spl42_168
| ~ spl42_170 ),
inference(backward_demodulation,[],[f1496,f1488]) ).
fof(f1496,plain,
( e21 = op2(e21,e21)
| ~ spl42_170 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1494,plain,
( spl42_170
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).
fof(f3683,plain,
( ~ spl42_101
| ~ spl42_294 ),
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3682,plain,
( $false
| ~ spl42_101
| ~ spl42_294 ),
inference(subsumption_resolution,[],[f3681,f664]) ).
fof(f664,plain,
e20 != e22,
inference(cnf_transformation,[],[f20]) ).
fof(f3681,plain,
( e20 = e22
| ~ spl42_101
| ~ spl42_294 ),
inference(forward_demodulation,[],[f1202,f2051]) ).
fof(f1202,plain,
( e22 = op2(e23,e23)
| ~ spl42_101 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl42_101
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).
fof(f3680,plain,
( ~ spl42_294
| ~ spl42_295 ),
inference(avatar_contradiction_clause,[],[f3679]) ).
fof(f3679,plain,
( $false
| ~ spl42_294
| ~ spl42_295 ),
inference(subsumption_resolution,[],[f3678,f669]) ).
fof(f3678,plain,
( e20 = e21
| ~ spl42_294
| ~ spl42_295 ),
inference(forward_demodulation,[],[f2055,f2051]) ).
fof(f2055,plain,
( e21 = op2(e23,e23)
| ~ spl42_295 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2053,plain,
( spl42_295
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_295])]) ).
fof(f3676,plain,
( ~ spl42_293
| ~ spl42_294 ),
inference(avatar_contradiction_clause,[],[f3675]) ).
fof(f3675,plain,
( $false
| ~ spl42_293
| ~ spl42_294 ),
inference(subsumption_resolution,[],[f3674,f668]) ).
fof(f668,plain,
e20 != e23,
inference(cnf_transformation,[],[f20]) ).
fof(f3674,plain,
( e20 = e23
| ~ spl42_293
| ~ spl42_294 ),
inference(forward_demodulation,[],[f2051,f2047]) ).
fof(f2047,plain,
( e23 = op2(e23,e23)
| ~ spl42_293 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2045,plain,
( spl42_293
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_293])]) ).
fof(f3660,plain,
( ~ spl42_215
| ~ spl42_216 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
fof(f3659,plain,
( $false
| ~ spl42_215
| ~ spl42_216 ),
inference(subsumption_resolution,[],[f3658,f676]) ).
fof(f676,plain,
e10 != e11,
inference(cnf_transformation,[],[f19]) ).
fof(f3658,plain,
( e10 = e11
| ~ spl42_215
| ~ spl42_216 ),
inference(backward_demodulation,[],[f1694,f1698]) ).
fof(f1694,plain,
( e11 = op1(e13,e13)
| ~ spl42_215 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1692,plain,
( spl42_215
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).
fof(f3621,plain,
( spl42_170
| ~ spl42_290 ),
inference(avatar_split_clause,[],[f3620,f2028,f1494]) ).
fof(f2028,plain,
( spl42_290
<=> e21 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_290])]) ).
fof(f3620,plain,
( e21 = op2(e21,e21)
| ~ spl42_290 ),
inference(forward_demodulation,[],[f204,f2030]) ).
fof(f2030,plain,
( e21 = unit2
| ~ spl42_290 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f3584,plain,
spl42_467,
inference(avatar_split_clause,[],[f197,f2827]) ).
fof(f197,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
( e11 = op1(e12,e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f3573,plain,
spl42_294,
inference(avatar_split_clause,[],[f165,f2049]) ).
fof(f165,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f3483,plain,
( spl42_593
| ~ spl42_288 ),
inference(avatar_split_clause,[],[f3482,f2020,f3454]) ).
fof(f2020,plain,
( spl42_288
<=> e22 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).
fof(f3482,plain,
( e22 = inv2(e22)
| ~ spl42_288 ),
inference(forward_demodulation,[],[f670,f2022]) ).
fof(f2022,plain,
( e22 = unit2
| ~ spl42_288 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f3470,plain,
spl42_419,
inference(avatar_split_clause,[],[f475,f2595]) ).
fof(f475,plain,
e22 = h8(e12),
inference(cnf_transformation,[],[f33]) ).
fof(f3430,plain,
( spl42_585
| spl42_586
| spl42_587
| spl42_588 ),
inference(avatar_split_clause,[],[f741,f3427,f3423,f3419,f3415]) ).
fof(f741,plain,
( e10 = op1(e12,e11)
| e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13) )
& ( e12 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e10 = op1(e13,e13)
| e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13) )
& ( e13 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11) )
& ( e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( op1(e10,e10) = e11
| e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e12 )
& ( e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 = op1(e10,e13)
| e13 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e11 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e11 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e12 = op1(e13,e10) )
& ( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e10 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e13 = op1(e11,e13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3402,plain,
( spl42_293
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f173,f1204,f2045]) ).
fof(f1204,plain,
( spl42_102
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).
fof(f173,plain,
( ~ sP2
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 = op2(e21,e21)
& op2(e20,e20) = e23 )
| ~ sP2 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 = op2(e21,e21)
& op2(e20,e20) = e23 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3380,plain,
spl42_336,
inference(avatar_split_clause,[],[f477,f2238]) ).
fof(f477,plain,
e21 = h8(e13),
inference(cnf_transformation,[],[f33]) ).
fof(f3374,plain,
( spl42_574
| spl42_575
| spl42_576
| spl42_577 ),
inference(avatar_split_clause,[],[f783,f3371,f3367,f3363,f3359]) ).
fof(f783,plain,
( e13 = unit1
| e11 = unit1
| e12 = unit1
| e10 = unit1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3319,plain,
( spl42_563
| spl42_564
| spl42_565
| spl42_566 ),
inference(avatar_split_clause,[],[f743,f3316,f3312,f3308,f3304]) ).
fof(f743,plain,
( e12 = op1(e13,e11)
| e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3245,plain,
( spl42_548
| spl42_549
| spl42_550
| spl42_551 ),
inference(avatar_split_clause,[],[f655,f3242,f3238,f3234,f3230]) ).
fof(f655,plain,
( e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e23 = op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( ( e20 = op2(e22,e20)
| e23 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e21 = op2(e21,e23)
| e20 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e23 = op2(e23,e21) )
& ( e23 = op2(e21,e20)
| e21 = op2(e21,e20)
| e22 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 = op2(e20,e23)
| e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e22 = op2(e22,e22)
| e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e23 = op2(e22,e22) )
& ( e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e22 = op2(e21,e22) )
& ( e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e20 = op2(e20,e22)
| e23 = op2(e20,e22) )
& ( e20 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21)
| e22 = op2(e22,e21) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e23
| op2(e20,e20) = e21
| op2(e20,e20) = e22 )
& ( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f3144,plain,
( spl42_527
| spl42_528
| spl42_529
| spl42_530 ),
inference(avatar_split_clause,[],[f653,f3141,f3137,f3133,f3129]) ).
fof(f653,plain,
( e22 = op2(e22,e21)
| e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f5]) ).
fof(f3099,plain,
( spl42_520
| ~ spl42_154 ),
inference(avatar_split_clause,[],[f745,f1423,f3096]) ).
fof(f1423,plain,
( spl42_154
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f745,plain,
( ~ sP41
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e10 = op1(e11,e11)
& e10 = op1(e12,e12)
& e10 = op1(e13,e13)
& e10 = op1(e10,e10) )
| ~ sP41 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e10 = op1(e11,e11)
& e10 = op1(e12,e12)
& e10 = op1(e13,e13)
& e10 = op1(e10,e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f3058,plain,
( spl42_509
| spl42_510
| spl42_511
| spl42_512 ),
inference(avatar_split_clause,[],[f729,f3055,f3051,f3047,f3043]) ).
fof(f729,plain,
( e12 = op1(e11,e13)
| e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2990,plain,
( ~ spl42_23
| ~ spl42_498 ),
inference(avatar_split_clause,[],[f414,f2987,f880]) ).
fof(f880,plain,
( spl42_23
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).
fof(f414,plain,
( e20 != h8(e10)
| ~ sP3 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( e20 != h8(e10)
& e20 != h8(e11)
& e20 != h8(e13)
& e20 != h8(e12) )
| ~ sP3 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e20 != h8(e10)
& e20 != h8(e11)
& e20 != h8(e13)
& e20 != h8(e12) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2874,plain,
( ~ spl42_15
| ~ spl42_475 ),
inference(avatar_split_clause,[],[f404,f2871,f848]) ).
fof(f848,plain,
( spl42_15
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).
fof(f404,plain,
( e23 != h8(e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e23 != h8(e13)
& e23 != h8(e10)
& e23 != h8(e11)
& e23 != h8(e12) )
| ~ sP5 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e23 != h8(e13)
& e23 != h8(e10)
& e23 != h8(e11)
& e23 != h8(e12) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2853,plain,
( spl42_215
| ~ spl42_156 ),
inference(avatar_split_clause,[],[f749,f1431,f1692]) ).
fof(f1431,plain,
( spl42_156
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f749,plain,
( ~ sP40
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) = e11
& e11 = op1(e13,e13) )
| ~ sP40 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) = e11
& e11 = op1(e13,e13) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f2832,plain,
( ~ spl42_99
| spl42_295 ),
inference(avatar_split_clause,[],[f175,f2053,f1192]) ).
fof(f1192,plain,
( spl42_99
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).
fof(f175,plain,
( e21 = op2(e23,e23)
| ~ sP1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e21 = op2(e22,e22)
& op2(e20,e20) = e21
& e21 = op2(e23,e23)
& e21 = op2(e21,e21) )
| ~ sP1 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e21 = op2(e22,e22)
& op2(e20,e20) = e21
& e21 = op2(e23,e23)
& e21 = op2(e21,e21) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2686,plain,
( ~ spl42_154
| spl42_437 ),
inference(avatar_split_clause,[],[f748,f2683,f1423]) ).
fof(f748,plain,
( e10 = op1(e11,e11)
| ~ sP41 ),
inference(cnf_transformation,[],[f127]) ).
fof(f2666,plain,
spl42_216,
inference(avatar_split_clause,[],[f196,f1696]) ).
fof(f196,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f24]) ).
fof(f2660,plain,
spl42_427,
inference(avatar_split_clause,[],[f164,f2633]) ).
fof(f164,plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[],[f25]) ).
fof(f2598,plain,
( ~ spl42_16
| ~ spl42_419
| ~ spl42_27
| spl42_12
| ~ spl42_25
| ~ spl42_19
| ~ spl42_14
| ~ spl42_11
| ~ spl42_29
| spl42_23
| ~ spl42_28
| ~ spl42_20
| ~ spl42_17
| ~ spl42_24
| ~ spl42_13
| spl42_15
| ~ spl42_18
| ~ spl42_30
| ~ spl42_26
| ~ spl42_21 ),
inference(avatar_split_clause,[],[f418,f872,f892,f908,f860,f848,f840,f884,f856,f868,f900,f880,f904,f832,f844,f864,f888,f836,f896,f2595,f852]) ).
fof(f836,plain,
( spl42_12
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f418,plain,
( h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| sP5
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| sP3
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| sP4
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| e22 != h8(e12)
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( ( e20 != h6(e12)
& e20 != h6(e13)
& e20 != h6(e10)
& e20 != h6(e11) )
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| sP38
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| sP37
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| sP36 )
& ( ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e12)
& e23 != h4(e11) )
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| sP35
| sP34
| sP33
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) )
& ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12) )
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP32
| sP31
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| sP30
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) )
& ( ( e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e10)
& e23 != h1(e13) )
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP29
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP28
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| sP27
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) )
& ( h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| ( e21 != h10(e10)
& e21 != h10(e13)
& e21 != h10(e11)
& e21 != h10(e12) )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| sP26
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| sP25
| sP24 )
& ( h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e10)
& e22 != h9(e11) )
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| sP23
| sP22
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| sP21 )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP20
| sP19
| sP18
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) )
& ( h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| ( e21 != h7(e11)
& e21 != h7(e12)
& e21 != h7(e13)
& e21 != h7(e10) )
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| sP17
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| sP16
| sP15
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13)) )
& ( h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| ( e23 != h5(e10)
& e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11) )
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| sP14
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| sP13
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| sP12 )
& ( h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| ( e23 != h11(e10)
& e23 != h11(e11)
& e23 != h11(e13)
& e23 != h11(e12) )
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| sP11
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| sP10
| sP9
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11)) )
& ( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| ( e21 != h12(e12)
& e21 != h12(e10)
& e21 != h12(e13)
& e21 != h12(e11) )
| sP8
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| sP7
| sP6
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12)) )
& ( h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| ( e22 != h8(e12)
& e22 != h8(e10)
& e22 != h8(e13)
& e22 != h8(e11) )
| sP5
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| sP4
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| sP3
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13)) ) ),
inference(definition_folding,[],[f40,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]) ).
fof(f48,plain,
( ( e21 != h8(e10)
& e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f50,plain,
( ( e23 != h12(e12)
& e23 != h12(e10)
& e23 != h12(e11)
& e23 != h12(e13) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f51,plain,
( ( e20 != h12(e11)
& e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f52,plain,
( ( e22 != h12(e13)
& e22 != h12(e10)
& e22 != h12(e12)
& e22 != h12(e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f53,plain,
( ( e22 != h11(e10)
& e22 != h11(e11)
& e22 != h11(e13)
& e22 != h11(e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f54,plain,
( ( e20 != h11(e11)
& e20 != h11(e10)
& e20 != h11(e12)
& e20 != h11(e13) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f55,plain,
( ( e21 != h11(e11)
& e21 != h11(e10)
& e21 != h11(e13)
& e21 != h11(e12) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f56,plain,
( ( e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10)
& e22 != h5(e13) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f57,plain,
( ( e21 != h5(e10)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f58,plain,
( ( e20 != h5(e11)
& e20 != h5(e12)
& e20 != h5(e13)
& e20 != h5(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f59,plain,
( ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e10)
& e22 != h7(e11) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f60,plain,
( ( e20 != h7(e10)
& e20 != h7(e13)
& e20 != h7(e11)
& e20 != h7(e12) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f61,plain,
( ( e23 != h7(e10)
& e23 != h7(e13)
& e23 != h7(e12)
& e23 != h7(e11) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f62,plain,
( ( e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e10)
& e21 != h3(e13) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f63,plain,
( ( e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f64,plain,
( ( e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f65,plain,
( ( e20 != h9(e10)
& e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f66,plain,
( ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f67,plain,
( ( e23 != h9(e13)
& e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f68,plain,
( ( e20 != h10(e12)
& e20 != h10(e10)
& e20 != h10(e13)
& e20 != h10(e11) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f69,plain,
( ( e22 != h10(e11)
& e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e10) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f70,plain,
( ( e23 != h10(e13)
& e23 != h10(e11)
& e23 != h10(e10)
& e23 != h10(e12) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f71,plain,
( ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f72,plain,
( ( e20 != h1(e10)
& e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f73,plain,
( ( e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e10) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f74,plain,
( ( e23 != h2(e10)
& e23 != h2(e12)
& e23 != h2(e13)
& e23 != h2(e11) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f75,plain,
( ( e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e12) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f76,plain,
( ( e22 != h2(e11)
& e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f77,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f78,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e11) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f79,plain,
( ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f80,plain,
( ( e23 != h6(e10)
& e23 != h6(e11)
& e23 != h6(e12)
& e23 != h6(e13) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f81,plain,
( ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e10)
& e22 != h6(e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f82,plain,
( ( e21 != h6(e10)
& e21 != h6(e13)
& e21 != h6(e11)
& e21 != h6(e12) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f40,plain,
( ( ( e20 != h6(e12)
& e20 != h6(e13)
& e20 != h6(e10)
& e20 != h6(e11) )
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| ( e21 != h6(e10)
& e21 != h6(e13)
& e21 != h6(e11)
& e21 != h6(e12) )
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| ( e22 != h6(e13)
& e22 != h6(e12)
& e22 != h6(e10)
& e22 != h6(e11) )
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| ( e23 != h6(e10)
& e23 != h6(e11)
& e23 != h6(e12)
& e23 != h6(e13) ) )
& ( ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e12)
& e23 != h4(e11) )
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e11) )
| ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) )
& ( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12) )
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| ( e22 != h2(e11)
& e22 != h2(e13)
& e22 != h2(e10)
& e22 != h2(e12) )
| ( e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e12) )
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| ( e23 != h2(e10)
& e23 != h2(e12)
& e23 != h2(e13)
& e23 != h2(e11) )
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) )
& ( ( e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e10)
& e23 != h1(e13) )
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| ( e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e10) )
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11) )
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) )
& ( h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| ( e21 != h10(e10)
& e21 != h10(e13)
& e21 != h10(e11)
& e21 != h10(e12) )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| ( e23 != h10(e13)
& e23 != h10(e11)
& e23 != h10(e10)
& e23 != h10(e12) )
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| ( e22 != h10(e11)
& e22 != h10(e13)
& e22 != h10(e12)
& e22 != h10(e10) )
| ( e20 != h10(e12)
& e20 != h10(e10)
& e20 != h10(e13)
& e20 != h10(e11) ) )
& ( h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| ( e22 != h9(e13)
& e22 != h9(e12)
& e22 != h9(e10)
& e22 != h9(e11) )
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| ( e23 != h9(e13)
& e23 != h9(e10)
& e23 != h9(e11)
& e23 != h9(e12) )
| ( e21 != h9(e13)
& e21 != h9(e12)
& e21 != h9(e11)
& e21 != h9(e10) )
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| ( e20 != h9(e10)
& e20 != h9(e13)
& e20 != h9(e12)
& e20 != h9(e11) ) )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e10) )
| ( e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e10) )
| ( e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e10)
& e21 != h3(e13) )
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) )
& ( h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| ( e21 != h7(e11)
& e21 != h7(e12)
& e21 != h7(e13)
& e21 != h7(e10) )
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| ( e23 != h7(e10)
& e23 != h7(e13)
& e23 != h7(e12)
& e23 != h7(e11) )
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| ( e20 != h7(e10)
& e20 != h7(e13)
& e20 != h7(e11)
& e20 != h7(e12) )
| ( e22 != h7(e13)
& e22 != h7(e12)
& e22 != h7(e10)
& e22 != h7(e11) )
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13)) )
& ( h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| ( e23 != h5(e10)
& e23 != h5(e13)
& e23 != h5(e12)
& e23 != h5(e11) )
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| ( e20 != h5(e11)
& e20 != h5(e12)
& e20 != h5(e13)
& e20 != h5(e10) )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| ( e21 != h5(e10)
& e21 != h5(e12)
& e21 != h5(e11)
& e21 != h5(e13) )
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| ( e22 != h5(e12)
& e22 != h5(e11)
& e22 != h5(e10)
& e22 != h5(e13) ) )
& ( h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| ( e23 != h11(e10)
& e23 != h11(e11)
& e23 != h11(e13)
& e23 != h11(e12) )
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| ( e21 != h11(e11)
& e21 != h11(e10)
& e21 != h11(e13)
& e21 != h11(e12) )
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| ( e20 != h11(e11)
& e20 != h11(e10)
& e20 != h11(e12)
& e20 != h11(e13) )
| ( e22 != h11(e10)
& e22 != h11(e11)
& e22 != h11(e13)
& e22 != h11(e12) )
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11)) )
& ( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| ( e21 != h12(e12)
& e21 != h12(e10)
& e21 != h12(e13)
& e21 != h12(e11) )
| ( e22 != h12(e13)
& e22 != h12(e10)
& e22 != h12(e12)
& e22 != h12(e11) )
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| ( e20 != h12(e11)
& e20 != h12(e13)
& e20 != h12(e12)
& e20 != h12(e10) )
| ( e23 != h12(e12)
& e23 != h12(e10)
& e23 != h12(e11)
& e23 != h12(e13) )
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12)) )
& ( h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| ( e22 != h8(e12)
& e22 != h8(e10)
& e22 != h8(e13)
& e22 != h8(e11) )
| ( e23 != h8(e13)
& e23 != h8(e10)
& e23 != h8(e11)
& e23 != h8(e12) )
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| ( e21 != h8(e10)
& e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11) )
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| ( e20 != h8(e10)
& e20 != h8(e11)
& e20 != h8(e13)
& e20 != h8(e12) )
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13)) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ( ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e11) )
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e10) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e10)
| e20 = h2(e13)
| e20 = h2(e11) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e23 = h2(e12)
| e23 = h2(e13)
| e23 = h2(e10)
| e23 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
| ( h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& ( e21 = h12(e12)
| e21 = h12(e13)
| e21 = h12(e11)
| e21 = h12(e10) )
& ( e23 = h12(e12)
| e23 = h12(e10)
| e23 = h12(e13)
| e23 = h12(e11) )
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& ( e22 = h12(e13)
| e22 = h12(e11)
| e22 = h12(e10)
| e22 = h12(e12) )
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& ( e20 = h12(e11)
| e20 = h12(e13)
| e20 = h12(e12)
| e20 = h12(e10) )
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) )
| ( h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& ( e23 = h7(e12)
| e23 = h7(e10)
| e23 = h7(e13)
| e23 = h7(e11) )
& ( e21 = h7(e12)
| e21 = h7(e13)
| e21 = h7(e11)
| e21 = h7(e10) )
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& ( e20 = h7(e11)
| e20 = h7(e13)
| e20 = h7(e10)
| e20 = h7(e12) )
& ( e22 = h7(e13)
| e22 = h7(e10)
| e22 = h7(e11)
| e22 = h7(e12) )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13)) )
| ( ( e20 = h10(e11)
| e20 = h10(e10)
| e20 = h10(e13)
| e20 = h10(e12) )
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& ( e22 = h10(e13)
| e22 = h10(e11)
| e22 = h10(e10)
| e22 = h10(e12) )
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& ( e23 = h10(e13)
| e23 = h10(e12)
| e23 = h10(e10)
| e23 = h10(e11) )
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& ( e21 = h10(e12)
| e21 = h10(e13)
| e21 = h10(e10)
| e21 = h10(e11) )
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10)) )
| ( ( e22 = h5(e11)
| e22 = h5(e10)
| e22 = h5(e13)
| e22 = h5(e12) )
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& ( e21 = h5(e13)
| e21 = h5(e10)
| e21 = h5(e11)
| e21 = h5(e12) )
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& ( e23 = h5(e11)
| e23 = h5(e10)
| e23 = h5(e12)
| e23 = h5(e13) )
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& ( e20 = h5(e10)
| e20 = h5(e12)
| e20 = h5(e13)
| e20 = h5(e11) ) )
| ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& ( e20 = h3(e13)
| e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e12) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11) )
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e12) ) )
| ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e13)
| e22 = h4(e11) )
& ( e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e11) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e12) )
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
| ( h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& ( e20 = h9(e10)
| e20 = h9(e13)
| e20 = h9(e12)
| e20 = h9(e11) )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& ( e21 = h9(e13)
| e21 = h9(e10)
| e21 = h9(e11)
| e21 = h9(e12) )
& ( e23 = h9(e11)
| e23 = h9(e13)
| e23 = h9(e10)
| e23 = h9(e12) )
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& ( e22 = h9(e11)
| e22 = h9(e10)
| e22 = h9(e12)
| e22 = h9(e13) )
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10)) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( e21 = h8(e10)
| e21 = h8(e13)
| e21 = h8(e11)
| e21 = h8(e12) )
& ( e22 = h8(e13)
| e22 = h8(e12)
| e22 = h8(e10)
| e22 = h8(e11) )
& ( e20 = h8(e12)
| e20 = h8(e10)
| e20 = h8(e11)
| e20 = h8(e13) )
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& ( e23 = h8(e12)
| e23 = h8(e11)
| e23 = h8(e10)
| e23 = h8(e13) )
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13)) )
| ( ( e21 = h11(e11)
| e21 = h11(e12)
| e21 = h11(e13)
| e21 = h11(e10) )
& ( e20 = h11(e10)
| e20 = h11(e13)
| e20 = h11(e12)
| e20 = h11(e11) )
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& ( e22 = h11(e11)
| e22 = h11(e10)
| e22 = h11(e12)
| e22 = h11(e13) )
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& ( e23 = h11(e13)
| e23 = h11(e11)
| e23 = h11(e10)
| e23 = h11(e12) )
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13)) )
| ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e13) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& ( e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11) )
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e13)
| e23 = h1(e12) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11) ) )
| ( h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& ( e22 = h6(e13)
| e22 = h6(e12)
| e22 = h6(e11)
| e22 = h6(e10) )
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& ( e20 = h6(e13)
| e20 = h6(e11)
| e20 = h6(e12)
| e20 = h6(e10) )
& ( e21 = h6(e10)
| e21 = h6(e13)
| e21 = h6(e11)
| e21 = h6(e12) )
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& ( e23 = h6(e12)
| e23 = h6(e10)
| e23 = h6(e13)
| e23 = h6(e11) )
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
( ( h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e11) )
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e10) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e10)
| e20 = h2(e13)
| e20 = h2(e11) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e23 = h2(e12)
| e23 = h2(e13)
| e23 = h2(e10)
| e23 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
| ( h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& ( e21 = h12(e12)
| e21 = h12(e13)
| e21 = h12(e11)
| e21 = h12(e10) )
& ( e23 = h12(e12)
| e23 = h12(e10)
| e23 = h12(e13)
| e23 = h12(e11) )
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& ( e22 = h12(e13)
| e22 = h12(e11)
| e22 = h12(e10)
| e22 = h12(e12) )
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& ( e20 = h12(e11)
| e20 = h12(e13)
| e20 = h12(e12)
| e20 = h12(e10) )
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) )
| ( h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& ( e23 = h7(e12)
| e23 = h7(e10)
| e23 = h7(e13)
| e23 = h7(e11) )
& ( e21 = h7(e12)
| e21 = h7(e13)
| e21 = h7(e11)
| e21 = h7(e10) )
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& ( e20 = h7(e11)
| e20 = h7(e13)
| e20 = h7(e10)
| e20 = h7(e12) )
& ( e22 = h7(e13)
| e22 = h7(e10)
| e22 = h7(e11)
| e22 = h7(e12) )
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13)) )
| ( ( e20 = h10(e11)
| e20 = h10(e10)
| e20 = h10(e13)
| e20 = h10(e12) )
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& ( e22 = h10(e13)
| e22 = h10(e11)
| e22 = h10(e10)
| e22 = h10(e12) )
& h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& ( e23 = h10(e13)
| e23 = h10(e12)
| e23 = h10(e10)
| e23 = h10(e11) )
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& ( e21 = h10(e12)
| e21 = h10(e13)
| e21 = h10(e10)
| e21 = h10(e11) )
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10)) )
| ( ( e22 = h5(e11)
| e22 = h5(e10)
| e22 = h5(e13)
| e22 = h5(e12) )
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& ( e21 = h5(e13)
| e21 = h5(e10)
| e21 = h5(e11)
| e21 = h5(e12) )
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& ( e23 = h5(e11)
| e23 = h5(e10)
| e23 = h5(e12)
| e23 = h5(e13) )
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& ( e20 = h5(e10)
| e20 = h5(e12)
| e20 = h5(e13)
| e20 = h5(e11) ) )
| ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& ( e20 = h3(e13)
| e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11)
| e22 = h3(e12) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11) )
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e21 = h3(e11)
| e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e12) ) )
| ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e13)
| e22 = h4(e11) )
& ( e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e11) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e11) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e12) )
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
| ( h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& ( e20 = h9(e10)
| e20 = h9(e13)
| e20 = h9(e12)
| e20 = h9(e11) )
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& ( e21 = h9(e13)
| e21 = h9(e10)
| e21 = h9(e11)
| e21 = h9(e12) )
& ( e23 = h9(e11)
| e23 = h9(e13)
| e23 = h9(e10)
| e23 = h9(e12) )
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& ( e22 = h9(e11)
| e22 = h9(e10)
| e22 = h9(e12)
| e22 = h9(e13) )
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10)) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( e21 = h8(e10)
| e21 = h8(e13)
| e21 = h8(e11)
| e21 = h8(e12) )
& ( e22 = h8(e13)
| e22 = h8(e12)
| e22 = h8(e10)
| e22 = h8(e11) )
& ( e20 = h8(e12)
| e20 = h8(e10)
| e20 = h8(e11)
| e20 = h8(e13) )
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& ( e23 = h8(e12)
| e23 = h8(e11)
| e23 = h8(e10)
| e23 = h8(e13) )
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13)) )
| ( ( e21 = h11(e11)
| e21 = h11(e12)
| e21 = h11(e13)
| e21 = h11(e10) )
& ( e20 = h11(e10)
| e20 = h11(e13)
| e20 = h11(e12)
| e20 = h11(e11) )
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& ( e22 = h11(e11)
| e22 = h11(e10)
| e22 = h11(e12)
| e22 = h11(e13) )
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& ( e23 = h11(e13)
| e23 = h11(e11)
| e23 = h11(e10)
| e23 = h11(e12) )
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13)) )
| ( h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e13) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& ( e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11) )
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e13)
| e23 = h1(e12) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& ( e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11) ) )
| ( h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& ( e22 = h6(e13)
| e22 = h6(e12)
| e22 = h6(e11)
| e22 = h6(e10) )
& h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& ( e20 = h6(e13)
| e20 = h6(e11)
| e20 = h6(e12)
| e20 = h6(e10) )
& ( e21 = h6(e10)
| e21 = h6(e13)
| e21 = h6(e11)
| e21 = h6(e12) )
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& ( e23 = h6(e12)
| e23 = h6(e10)
| e23 = h6(e13)
| e23 = h6(e11) )
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2349,plain,
( spl42_359
| spl42_360
| spl42_361
| spl42_362 ),
inference(avatar_split_clause,[],[f662,f2346,f2342,f2338,f2334]) ).
fof(f662,plain,
( e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e20 = op2(e21,e23)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f5]) ).
fof(f2241,plain,
( ~ spl42_336
| ~ spl42_12 ),
inference(avatar_split_clause,[],[f409,f836,f2238]) ).
fof(f409,plain,
( ~ sP4
| e21 != h8(e13) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e21 != h8(e10)
& e21 != h8(e13)
& e21 != h8(e12)
& e21 != h8(e11) )
| ~ sP4 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2151,plain,
( ~ spl42_100
| spl42_281 ),
inference(avatar_split_clause,[],[f178,f1988,f1196]) ).
fof(f1196,plain,
( spl42_100
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_100])]) ).
fof(f178,plain,
( e20 = op2(e22,e22)
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e20 = op2(e23,e23)
& e20 = op2(e22,e22) )
| ~ sP0 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e20 = op2(e23,e23)
& e20 = op2(e22,e22) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2140,plain,
( spl42_313
| ~ spl42_100 ),
inference(avatar_split_clause,[],[f180,f1196,f2137]) ).
fof(f180,plain,
( ~ sP0
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f90]) ).
fof(f2130,plain,
( spl42_308
| spl42_309
| spl42_310
| spl42_311 ),
inference(avatar_split_clause,[],[f734,f2127,f2123,f2119,f2115]) ).
fof(f734,plain,
( e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e10 = op1(e11,e12)
| e12 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2031,plain,
( spl42_287
| spl42_288
| spl42_289
| spl42_290 ),
inference(avatar_split_clause,[],[f203,f2028,f2024,f2020,f2016]) ).
fof(f203,plain,
( e21 = unit2
| e23 = unit2
| e22 = unit2
| e20 = unit2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f1805,plain,
( spl42_239
| ~ spl42_154 ),
inference(avatar_split_clause,[],[f747,f1423,f1802]) ).
fof(f747,plain,
( ~ sP41
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f127]) ).
fof(f1791,plain,
( spl42_233
| spl42_234
| spl42_235
| spl42_236 ),
inference(avatar_split_clause,[],[f742,f1788,f1784,f1780,f1776]) ).
fof(f742,plain,
( e10 = op1(e13,e12)
| e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1685,plain,
( spl42_213
| spl42_94
| spl42_154
| spl42_156 ),
inference(avatar_split_clause,[],[f759,f1431,f1423,f1170,f1682]) ).
fof(f1170,plain,
( spl42_94
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f759,plain,
( sP40
| sP41
| sP39
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( op1(e10,e10) = e12
& e12 = op1(e13,e13)
& e12 = op1(e11,e11)
& e12 = op1(e12,e12) )
| sP41
| sP40
| sP39 ),
inference(definition_folding,[],[f22,f86,f85,f84]) ).
fof(f84,plain,
( ( e13 = op1(e12,e12)
& e13 = op1(e13,e13)
& op1(e10,e10) = e13
& e13 = op1(e11,e11) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f22,axiom,
( ( op1(e10,e10) = e12
& e12 = op1(e13,e13)
& e12 = op1(e11,e11)
& e12 = op1(e12,e12) )
| ( e10 = op1(e11,e11)
& e10 = op1(e12,e12)
& e10 = op1(e13,e13)
& e10 = op1(e10,e10) )
| ( e11 = op1(e11,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) = e11
& e11 = op1(e13,e13) )
| ( e13 = op1(e12,e12)
& e13 = op1(e13,e13)
& op1(e10,e10) = e13
& e13 = op1(e11,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f1551,plain,
( spl42_179
| spl42_180
| spl42_181
| spl42_182 ),
inference(avatar_split_clause,[],[f649,f1548,f1544,f1540,f1536]) ).
fof(f649,plain,
( e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f5]) ).
fof(f1534,plain,
( spl42_175
| spl42_176
| spl42_177
| spl42_178 ),
inference(avatar_split_clause,[],[f659,f1531,f1527,f1523,f1519]) ).
fof(f659,plain,
( e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e23 = op2(e23,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f5]) ).
fof(f1512,plain,
( spl42_168
| ~ spl42_100 ),
inference(avatar_split_clause,[],[f181,f1196,f1486]) ).
fof(f181,plain,
( ~ sP0
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f90]) ).
fof(f1502,plain,
( ~ spl42_94
| spl42_171 ),
inference(avatar_split_clause,[],[f755,f1499,f1170]) ).
fof(f755,plain,
( e13 = op1(e13,e13)
| ~ sP39 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( e13 = op1(e12,e12)
& e13 = op1(e13,e13)
& op1(e10,e10) = e13
& e13 = op1(e11,e11) )
| ~ sP39 ),
inference(nnf_transformation,[],[f84]) ).
fof(f1207,plain,
( spl42_99
| spl42_100
| spl42_101
| spl42_102 ),
inference(avatar_split_clause,[],[f185,f1204,f1200,f1196,f1192]) ).
fof(f185,plain,
( sP2
| e22 = op2(e23,e23)
| sP0
| sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e22 = op2(e23,e23)
& op2(e20,e20) = e22
& e22 = op2(e21,e21)
& e22 = op2(e22,e22) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f23,f45,f44,f43]) ).
fof(f23,axiom,
( ( e22 = op2(e23,e23)
& op2(e20,e20) = e22
& e22 = op2(e21,e21)
& e22 = op2(e22,e22) )
| ( e23 = op2(e23,e23)
& e23 = op2(e22,e22)
& e23 = op2(e21,e21)
& op2(e20,e20) = e23 )
| ( e21 = op2(e22,e22)
& op2(e20,e20) = e21
& e21 = op2(e23,e23)
& e21 = op2(e21,e21) )
| ( e20 = op2(e21,e21)
& e20 = op2(e20,e20)
& e20 = op2(e23,e23)
& e20 = op2(e22,e22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 29 14:45:49 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.08/0.54 % (7904)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.08/0.55 % (7905)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.55 % (7914)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.55 % (7920)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.30/0.55 % (7912)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.30/0.56 % (7906)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.56 % (7913)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.30/0.56 % (7906)Instruction limit reached!
% 1.30/0.56 % (7906)------------------------------
% 1.30/0.56 % (7906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56 % (7906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56 % (7906)Termination reason: Unknown
% 1.30/0.56 % (7906)Termination phase: Preprocessing 1
% 1.30/0.56
% 1.30/0.56 % (7906)Memory used [KB]: 1151
% 1.30/0.56 % (7906)Time elapsed: 0.003 s
% 1.30/0.56 % (7906)Instructions burned: 2 (million)
% 1.30/0.56 % (7906)------------------------------
% 1.30/0.56 % (7906)------------------------------
% 1.30/0.57 % (7922)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.30/0.57 % (7909)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.57 % (7905)Instruction limit reached!
% 1.30/0.57 % (7905)------------------------------
% 1.30/0.57 % (7905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57 % (7905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57 % (7905)Termination reason: Unknown
% 1.30/0.57 % (7905)Termination phase: Property scanning
% 1.30/0.57
% 1.30/0.57 % (7905)Memory used [KB]: 1407
% 1.30/0.57 % (7905)Time elapsed: 0.006 s
% 1.30/0.57 % (7905)Instructions burned: 7 (million)
% 1.30/0.57 % (7905)------------------------------
% 1.30/0.57 % (7905)------------------------------
% 1.30/0.57 % (7921)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.30/0.57 % (7899)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.57 % (7900)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.30/0.57 % (7917)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.58 % (7925)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.30/0.58 % (7916)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.30/0.58 % (7901)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.58 % (7923)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.30/0.59 % (7911)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.30/0.59 % (7908)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.59 % (7915)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.30/0.59 % (7902)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.59 % (7907)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.59 % (7924)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.30/0.60 % (7918)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.30/0.60 % (7903)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.30/0.60 % (7910)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.30/0.61 % (7898)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.30/0.61 % (7927)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.30/0.61 % (7926)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.30/0.61 % (7900)Instruction limit reached!
% 1.30/0.61 % (7900)------------------------------
% 1.30/0.61 % (7900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.61 % (7900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.61 % (7900)Termination reason: Unknown
% 1.30/0.61 % (7900)Termination phase: Saturation
% 1.30/0.61
% 1.30/0.61 % (7900)Memory used [KB]: 1535
% 1.30/0.61 % (7900)Time elapsed: 0.015 s
% 1.30/0.61 % (7900)Instructions burned: 38 (million)
% 1.30/0.61 % (7900)------------------------------
% 1.30/0.61 % (7900)------------------------------
% 1.30/0.62 % (7919)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.30/0.62 % (7904)Instruction limit reached!
% 1.30/0.62 % (7904)------------------------------
% 1.30/0.62 % (7904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.62 % (7904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.62 % (7904)Termination reason: Unknown
% 1.30/0.62 % (7904)Termination phase: Finite model building preprocessing
% 1.30/0.62
% 1.30/0.62 % (7904)Memory used [KB]: 2942
% 1.30/0.62 % (7904)Time elapsed: 0.030 s
% 1.30/0.62 % (7904)Instructions burned: 52 (million)
% 1.30/0.62 % (7904)------------------------------
% 1.30/0.62 % (7904)------------------------------
% 1.92/0.64 % (7901)Instruction limit reached!
% 1.92/0.64 % (7901)------------------------------
% 1.92/0.64 % (7901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64 % (7901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64 % (7901)Termination reason: Unknown
% 1.92/0.64 % (7901)Termination phase: Property scanning
% 1.92/0.64
% 1.92/0.64 % (7901)Memory used [KB]: 1663
% 1.92/0.64 % (7901)Time elapsed: 0.018 s
% 1.92/0.64 % (7901)Instructions burned: 54 (million)
% 1.92/0.64 % (7901)------------------------------
% 1.92/0.64 % (7901)------------------------------
% 1.92/0.66 % (7914)Instruction limit reached!
% 1.92/0.66 % (7914)------------------------------
% 1.92/0.66 % (7914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (7914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (7914)Termination reason: Unknown
% 1.92/0.66 % (7914)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (7914)Memory used [KB]: 7803
% 1.92/0.66 % (7914)Time elapsed: 0.210 s
% 1.92/0.66 % (7914)Instructions burned: 99 (million)
% 1.92/0.66 % (7914)------------------------------
% 1.92/0.66 % (7914)------------------------------
% 1.92/0.66 % (7913)Instruction limit reached!
% 1.92/0.66 % (7913)------------------------------
% 1.92/0.66 % (7913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (7913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (7913)Termination reason: Unknown
% 1.92/0.66 % (7913)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (7913)Memory used [KB]: 2430
% 1.92/0.66 % (7913)Time elapsed: 0.046 s
% 1.92/0.66 % (7913)Instructions burned: 75 (million)
% 1.92/0.66 % (7913)------------------------------
% 1.92/0.66 % (7913)------------------------------
% 1.92/0.66 % (7912)Instruction limit reached!
% 1.92/0.66 % (7912)------------------------------
% 1.92/0.66 % (7912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (7912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (7912)Termination reason: Unknown
% 1.92/0.66 % (7912)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (7912)Memory used [KB]: 7547
% 1.92/0.66 % (7912)Time elapsed: 0.046 s
% 1.92/0.66 % (7912)Instructions burned: 69 (million)
% 1.92/0.66 % (7912)------------------------------
% 1.92/0.66 % (7912)------------------------------
% 1.92/0.66 % (7908)Instruction limit reached!
% 1.92/0.66 % (7908)------------------------------
% 1.92/0.66 % (7908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (7908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (7908)Termination reason: Unknown
% 1.92/0.66 % (7908)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (7908)Memory used [KB]: 7291
% 1.92/0.66 % (7908)Time elapsed: 0.024 s
% 1.92/0.66 % (7908)Instructions burned: 51 (million)
% 1.92/0.66 % (7908)------------------------------
% 1.92/0.66 % (7908)------------------------------
% 1.92/0.67 % (7902)Instruction limit reached!
% 1.92/0.67 % (7902)------------------------------
% 1.92/0.67 % (7902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67 % (7902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67 % (7902)Termination reason: Unknown
% 1.92/0.67 % (7902)Termination phase: Saturation
% 1.92/0.67
% 1.92/0.67 % (7902)Memory used [KB]: 2174
% 1.92/0.67 % (7902)Time elapsed: 0.020 s
% 1.92/0.67 % (7902)Instructions burned: 52 (million)
% 1.92/0.67 % (7902)------------------------------
% 1.92/0.67 % (7902)------------------------------
% 1.92/0.67 % (7899)Instruction limit reached!
% 1.92/0.67 % (7899)------------------------------
% 1.92/0.67 % (7899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67 % (7899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67 % (7899)Termination reason: Unknown
% 1.92/0.67 % (7899)Termination phase: Saturation
% 1.92/0.67
% 1.92/0.67 % (7899)Memory used [KB]: 6780
% 1.92/0.67 % (7899)Time elapsed: 0.025 s
% 1.92/0.67 % (7899)Instructions burned: 50 (million)
% 1.92/0.67 % (7899)------------------------------
% 1.92/0.67 % (7899)------------------------------
% 1.92/0.68 % (7909)Instruction limit reached!
% 1.92/0.68 % (7909)------------------------------
% 1.92/0.68 % (7909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.68 % (7909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.68 % (7909)Termination reason: Unknown
% 1.92/0.68 % (7909)Termination phase: Property scanning
% 1.92/0.68
% 1.92/0.68 % (7909)Memory used [KB]: 2686
% 1.92/0.68 % (7909)Time elapsed: 0.036 s
% 1.92/0.68 % (7909)Instructions burned: 101 (million)
% 1.92/0.68 % (7909)------------------------------
% 1.92/0.68 % (7909)------------------------------
% 2.25/0.68 % (7915)Instruction limit reached!
% 2.25/0.68 % (7915)------------------------------
% 2.25/0.68 % (7915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.68 % (7915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.68 % (7915)Termination reason: Unknown
% 2.25/0.68 % (7915)Termination phase: Finite model building preprocessing
% 2.25/0.68
% 2.25/0.68 % (7915)Memory used [KB]: 3070
% 2.25/0.68 % (7915)Time elapsed: 0.025 s
% 2.25/0.68 % (7915)Instructions burned: 61 (million)
% 2.25/0.68 % (7915)------------------------------
% 2.25/0.68 % (7915)------------------------------
% 2.25/0.69 % (7903)Instruction limit reached!
% 2.25/0.69 % (7903)------------------------------
% 2.25/0.69 % (7903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.69 % (7907)Instruction limit reached!
% 2.25/0.69 % (7907)------------------------------
% 2.25/0.69 % (7907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.69 % (7907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.69 % (7907)Termination reason: Unknown
% 2.25/0.69 % (7907)Termination phase: Saturation
% 2.25/0.69
% 2.25/0.69 % (7907)Memory used [KB]: 1663
% 2.25/0.69 % (7907)Time elapsed: 0.025 s
% 2.25/0.69 % (7907)Instructions burned: 52 (million)
% 2.25/0.69 % (7907)------------------------------
% 2.25/0.69 % (7907)------------------------------
% 2.25/0.69 % (7924)Instruction limit reached!
% 2.25/0.69 % (7924)------------------------------
% 2.25/0.69 % (7924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.69 % (7924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.69 % (7924)Termination reason: Unknown
% 2.25/0.69 % (7924)Termination phase: Saturation
% 2.25/0.69
% 2.25/0.69 % (7924)Memory used [KB]: 7547
% 2.25/0.69 % (7924)Time elapsed: 0.032 s
% 2.25/0.69 % (7924)Instructions burned: 69 (million)
% 2.25/0.69 % (7924)------------------------------
% 2.25/0.69 % (7924)------------------------------
% 2.25/0.71 % (7903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.71 % (7903)Termination reason: Unknown
% 2.25/0.71 % (7903)Termination phase: Saturation
% 2.25/0.71
% 2.25/0.71 % (7903)Memory used [KB]: 7547
% 2.25/0.71 % (7903)Time elapsed: 0.239 s
% 2.25/0.71 % (7903)Instructions burned: 49 (million)
% 2.25/0.71 % (7903)------------------------------
% 2.25/0.71 % (7903)------------------------------
% 2.25/0.71 % (7917)Instruction limit reached!
% 2.25/0.71 % (7917)------------------------------
% 2.25/0.71 % (7917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.71 % (7917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.71 % (7917)Termination reason: Unknown
% 2.25/0.71 % (7917)Termination phase: Saturation
% 2.25/0.71
% 2.25/0.71 % (7917)Memory used [KB]: 1791
% 2.25/0.71 % (7917)Time elapsed: 0.047 s
% 2.25/0.71 % (7917)Instructions burned: 100 (million)
% 2.25/0.71 % (7917)------------------------------
% 2.25/0.71 % (7917)------------------------------
% 2.25/0.73 % (7928)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.25/0.73 % (7916)Instruction limit reached!
% 2.25/0.73 % (7916)------------------------------
% 2.25/0.73 % (7916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.73 % (7916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.73 % (7916)Termination reason: Unknown
% 2.25/0.73 % (7916)Termination phase: Saturation
% 2.25/0.73
% 2.25/0.73 % (7916)Memory used [KB]: 8315
% 2.25/0.73 % (7916)Time elapsed: 0.047 s
% 2.25/0.73 % (7916)Instructions burned: 100 (million)
% 2.25/0.73 % (7916)------------------------------
% 2.25/0.73 % (7916)------------------------------
% 2.55/0.74 % (7929)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.55/0.75 % (7932)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.77 % (7911)Instruction limit reached!
% 2.58/0.77 % (7911)------------------------------
% 2.58/0.77 % (7911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.77 % (7911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.77 % (7911)Termination reason: Unknown
% 2.58/0.77 % (7911)Termination phase: Saturation
% 2.58/0.77
% 2.58/0.77 % (7911)Memory used [KB]: 8443
% 2.58/0.78 % (7911)Time elapsed: 0.082 s
% 2.58/0.78 % (7911)Instructions burned: 99 (million)
% 2.58/0.78 % (7911)------------------------------
% 2.58/0.78 % (7911)------------------------------
% 2.58/0.79 % (7937)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.58/0.79 % (7933)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.58/0.80 % (7910)Instruction limit reached!
% 2.58/0.80 % (7910)------------------------------
% 2.58/0.80 % (7910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.80 % (7910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.80 % (7910)Termination reason: Unknown
% 2.58/0.80 % (7910)Termination phase: Saturation
% 2.58/0.80
% 2.58/0.80 % (7910)Memory used [KB]: 8443
% 2.58/0.80 % (7910)Time elapsed: 0.045 s
% 2.58/0.80 % (7910)Instructions burned: 101 (million)
% 2.58/0.80 % (7910)------------------------------
% 2.58/0.80 % (7910)------------------------------
% 2.58/0.80 % (7931)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.58/0.80 % (7940)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.76/0.82 % (7943)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.76/0.83 % (7934)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.76/0.83 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.76/0.84 % (7935)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.76/0.84 % (7936)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.76/0.84 % (7939)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.84/0.85 % (7938)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.84/0.85 % (7941)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.84/0.86 % (7942)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.84/0.87 % (7946)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.84/0.87 % (7919)Instruction limit reached!
% 2.84/0.87 % (7919)------------------------------
% 2.84/0.87 % (7919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.87 % (7919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.87 % (7919)Termination reason: Unknown
% 2.84/0.87 % (7919)Termination phase: Saturation
% 2.84/0.87
% 2.84/0.87 % (7919)Memory used [KB]: 8059
% 2.84/0.87 % (7919)Time elapsed: 0.139 s
% 2.84/0.87 % (7919)Instructions burned: 138 (million)
% 2.84/0.87 % (7919)------------------------------
% 2.84/0.87 % (7919)------------------------------
% 2.84/0.87 % (7944)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.84/0.88 % (7945)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.84/0.93 TRYING [8]
% 2.84/0.93 % (7925)Instruction limit reached!
% 2.84/0.93 % (7925)------------------------------
% 2.84/0.93 % (7925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.93 % (7925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.93 % (7925)Termination reason: Unknown
% 2.84/0.93 % (7925)Termination phase: Saturation
% 2.84/0.93
% 2.84/0.93 % (7925)Memory used [KB]: 2814
% 2.84/0.93 % (7925)Time elapsed: 0.087 s
% 2.84/0.93 % (7925)Instructions burned: 178 (million)
% 2.84/0.93 % (7925)------------------------------
% 2.84/0.93 % (7925)------------------------------
% 3.07/0.94 % (7918)Instruction limit reached!
% 3.07/0.94 % (7918)------------------------------
% 3.07/0.94 % (7918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.94 % (7918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.94 % (7918)Termination reason: Unknown
% 3.07/0.94 % (7918)Termination phase: Saturation
% 3.07/0.94
% 3.07/0.94 % (7918)Memory used [KB]: 8571
% 3.07/0.94 % (7918)Time elapsed: 0.084 s
% 3.07/0.94 % (7918)Instructions burned: 176 (million)
% 3.07/0.94 % (7918)------------------------------
% 3.07/0.94 % (7918)------------------------------
% 3.07/0.96 % (7931)Instruction limit reached!
% 3.07/0.96 % (7931)------------------------------
% 3.07/0.96 % (7931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.96 % (7931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.96 % (7931)Termination reason: Unknown
% 3.07/0.96 % (7931)Termination phase: Saturation
% 3.07/0.96
% 3.07/0.96 % (7931)Memory used [KB]: 7931
% 3.07/0.96 % (7931)Time elapsed: 0.284 s
% 3.07/0.96 % (7931)Instructions burned: 91 (million)
% 3.07/0.96 % (7931)------------------------------
% 3.07/0.96 % (7931)------------------------------
% 3.07/0.96 % (7928)First to succeed.
% 3.07/0.96 % (7936)Instruction limit reached!
% 3.07/0.96 % (7936)------------------------------
% 3.07/0.96 % (7936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.96 % (7936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.96 % (7936)Termination reason: Unknown
% 3.07/0.96 % (7936)Termination phase: Saturation
% 3.07/0.96
% 3.07/0.96 % (7936)Memory used [KB]: 7675
% 3.07/0.96 % (7936)Time elapsed: 0.045 s
% 3.07/0.96 % (7936)Instructions burned: 68 (million)
% 3.07/0.96 % (7936)------------------------------
% 3.07/0.96 % (7936)------------------------------
% 3.07/0.97 % (7948)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.07/0.97 % (7947)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.07/0.98 % (7946)Instruction limit reached!
% 3.07/0.98 % (7946)------------------------------
% 3.07/0.98 % (7946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.98 % (7946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.98 % (7946)Termination reason: Unknown
% 3.07/0.98 % (7946)Termination phase: Saturation
% 3.07/0.98
% 3.07/0.98 % (7946)Memory used [KB]: 7547
% 3.07/0.98 % (7946)Time elapsed: 0.031 s
% 3.07/0.98 % (7946)Instructions burned: 69 (million)
% 3.07/0.98 % (7946)------------------------------
% 3.07/0.98 % (7946)------------------------------
% 3.43/0.99 % (7928)Refutation found. Thanks to Tanya!
% 3.43/0.99 % SZS status Theorem for theBenchmark
% 3.43/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/0.99 % (7928)------------------------------
% 3.43/0.99 % (7928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.99 % (7928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.99 % (7928)Termination reason: Refutation
% 3.43/0.99
% 3.43/0.99 % (7928)Memory used [KB]: 9210
% 3.43/0.99 % (7928)Time elapsed: 0.336 s
% 3.43/0.99 % (7928)Instructions burned: 156 (million)
% 3.43/0.99 % (7928)------------------------------
% 3.43/0.99 % (7928)------------------------------
% 3.43/0.99 % (7897)Success in time 0.623 s
%------------------------------------------------------------------------------