TSTP Solution File: GRP271-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP271-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Mon May 20 21:07:51 EDT 2024
% Result : Unsatisfiable 0.75s 0.85s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 93
% Syntax : Number of formulae : 619 ( 41 unt; 0 def)
% Number of atoms : 2847 ( 541 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 4292 (2064 ~;2201 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 28 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-2 aty)
% Number of variables : 172 ( 172 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3359,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f148,f153,f158,f163,f168,f173,f193,f194,f195,f196,f197,f198,f199,f201,f202,f207,f208,f209,f210,f211,f212,f213,f221,f222,f225,f226,f227,f235,f236,f237,f238,f239,f240,f241,f243,f244,f264,f279,f452,f454,f557,f589,f640,f1386,f1405,f1417,f1766,f1834,f1882,f1889,f2152,f2190,f2226,f2277,f2360,f2404,f2463,f2488,f2493,f2503,f2511,f2694,f2810,f2946,f2948,f2990,f2995,f3001,f3294,f3296,f3346,f3356]) ).
fof(f3356,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_73 ),
inference(avatar_contradiction_clause,[],[f3355]) ).
fof(f3355,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_73 ),
inference(subsumption_resolution,[],[f3354,f2958]) ).
fof(f2958,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2869,f2950]) ).
fof(f2950,plain,
( sk_c1 = sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2925,f2915]) ).
fof(f2915,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2825,f2911]) ).
fof(f2911,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2867,f2888]) ).
fof(f2888,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1944,f2875]) ).
fof(f2875,plain,
( sk_c11 = sk_c10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2866,f1683]) ).
fof(f1683,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f90,f192]) ).
fof(f192,plain,
( sk_c11 = sF22
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl26_12
<=> sk_c11 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f90,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f2866,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f621,f2864]) ).
fof(f2864,plain,
( sk_c1 = sk_c2
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2863,f2817]) ).
fof(f2817,plain,
( sk_c2 = inverse(sk_c10)
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2744,f1574]) ).
fof(f1574,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f1560,f1561]) ).
fof(f1561,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f300,f300]) ).
fof(f300,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f289,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f289,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1560,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f300,f2]) ).
fof(f2744,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl26_15 ),
inference(superposition,[],[f300,f619]) ).
fof(f619,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl26_15 ),
inference(backward_demodulation,[],[f286,f234]) ).
fof(f234,plain,
( sk_c10 = sF25
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl26_15
<=> sk_c10 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f286,plain,
identity = multiply(sF25,sk_c2),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
inverse(sk_c2) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f2863,plain,
( sk_c1 = inverse(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2861,f1574]) ).
fof(f2861,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f300,f2833]) ).
fof(f2833,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1682,f2828]) ).
fof(f2828,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,X0)
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1775,f2825]) ).
fof(f1775,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f291,f206]) ).
fof(f206,plain,
( sk_c10 = sF23
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl26_13
<=> sk_c10 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f291,plain,
! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sF23,X0),
inference(superposition,[],[f3,f101]) ).
fof(f101,plain,
multiply(sk_c11,sk_c9) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f1682,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f280,f192]) ).
fof(f280,plain,
identity = multiply(sF22,sk_c1),
inference(superposition,[],[f2,f90]) ).
fof(f621,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl26_15 ),
inference(backward_demodulation,[],[f123,f234]) ).
fof(f1944,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl26_1 ),
inference(forward_demodulation,[],[f70,f138]) ).
fof(f138,plain,
( sk_c10 = sF12
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl26_1
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f70,plain,
multiply(sk_c1,sk_c11) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f2867,plain,
( sk_c9 = multiply(sk_c1,sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1909,f2864]) ).
fof(f1909,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl26_14 ),
inference(forward_demodulation,[],[f112,f220]) ).
fof(f220,plain,
( sk_c9 = sF24
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl26_14
<=> sk_c9 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f112,plain,
multiply(sk_c2,sk_c10) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f2825,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2824,f2709]) ).
fof(f2709,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl26_14 ),
inference(backward_demodulation,[],[f297,f220]) ).
fof(f297,plain,
! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f112]) ).
fof(f2824,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = X0
| ~ spl26_15 ),
inference(superposition,[],[f300,f2817]) ).
fof(f2925,plain,
( sk_c10 = multiply(sk_c10,sk_c1)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2909,f2911]) ).
fof(f2909,plain,
( sk_c9 = multiply(sk_c10,sk_c1)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2833,f2899]) ).
fof(f2899,plain,
( identity = sk_c9
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2894,f2]) ).
fof(f2894,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2734,f2875]) ).
fof(f2734,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl26_13 ),
inference(superposition,[],[f300,f1772]) ).
fof(f1772,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f101,f206]) ).
fof(f2869,plain,
( sk_c1 = inverse(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2817,f2864]) ).
fof(f3354,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_73 ),
inference(forward_demodulation,[],[f3353,f2916]) ).
fof(f2916,plain,
( identity = sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2899,f2911]) ).
fof(f3353,plain,
( sk_c10 != inverse(identity)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| spl26_73 ),
inference(forward_demodulation,[],[f1628,f2958]) ).
fof(f1628,plain,
( inverse(identity) != inverse(sk_c10)
| spl26_73 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1626,plain,
( spl26_73
<=> inverse(identity) = inverse(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_73])]) ).
fof(f3346,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_120 ),
inference(avatar_contradiction_clause,[],[f3345]) ).
fof(f3345,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_120 ),
inference(trivial_inequality_removal,[],[f3344]) ).
fof(f3344,plain,
( sk_c10 != sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_120 ),
inference(duplicate_literal_removal,[],[f3338]) ).
fof(f3338,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_120 ),
inference(superposition,[],[f3293,f2958]) ).
fof(f3293,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl26_120 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f3292,plain,
( spl26_120
<=> ! [X0] :
( inverse(X0) != X0
| inverse(X0) != sk_c10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_120])]) ).
fof(f3296,plain,
( ~ spl26_119
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f2877,f232,f218,f204,f190,f3288]) ).
fof(f3288,plain,
( spl26_119
<=> sP1(sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_119])]) ).
fof(f2877,plain,
( ~ sP1(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f56,f2875]) ).
fof(f56,plain,
~ sP1(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3294,plain,
( spl26_119
| spl26_120
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f3286,f262,f232,f218,f204,f190,f136,f3292,f3288]) ).
fof(f262,plain,
( spl26_21
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| sP0(multiply(inverse(X7),sk_c10))
| inverse(X9) != multiply(X9,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f3286,plain,
( ! [X0] :
( inverse(X0) != X0
| inverse(X0) != sk_c10
| sP1(sk_c10) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3285,f2921]) ).
fof(f2921,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2905,f2911]) ).
fof(f2905,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1574,f2899]) ).
fof(f3285,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sP1(sk_c10)
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3174,f2921]) ).
fof(f3174,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f3173,f2915]) ).
fof(f3173,plain,
( ! [X0] :
( sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f3169,f2876]) ).
fof(f2876,plain,
( ~ sP0(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f55,f2875]) ).
fof(f55,plain,
~ sP0(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3169,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f3002,f2958]) ).
fof(f3002,plain,
( ! [X9,X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f263,f2921]) ).
fof(f263,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f3001,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f2999,f2878]) ).
fof(f2878,plain,
( ~ sP4(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f59,f2875]) ).
fof(f59,plain,
~ sP4(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2999,plain,
( sP4(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_demodulation,[],[f2998,f2958]) ).
fof(f2998,plain,
( sP4(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(resolution,[],[f2997,f60]) ).
fof(f60,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2997,plain,
( ! [X5] :
( sP5(X5)
| sP4(inverse(X5)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_demodulation,[],[f2996,f2921]) ).
fof(f2996,plain,
( ! [X5] :
( sP5(multiply(X5,sk_c10))
| sP4(inverse(X5)) )
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_demodulation,[],[f257,f2875]) ).
fof(f257,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) )
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl26_19
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f2995,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f2994]) ).
fof(f2994,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f2993,f61]) ).
fof(f61,plain,
~ sP6(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2993,plain,
( sP6(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f2992,f2958]) ).
fof(f2992,plain,
( sP6(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(resolution,[],[f2991,f2913]) ).
fof(f2913,plain,
( ~ sP7(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f62,f2911]) ).
fof(f62,plain,
~ sP7(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2991,plain,
( ! [X4] :
( sP7(X4)
| sP6(inverse(X4)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f254,f2921]) ).
fof(f254,plain,
( ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c10)) )
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl26_18
<=> ! [X4] :
( sP6(inverse(X4))
| sP7(multiply(X4,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f2990,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f2989]) ).
fof(f2989,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f2988,f57]) ).
fof(f57,plain,
~ sP2(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2988,plain,
( sP2(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(forward_demodulation,[],[f2987,f2958]) ).
fof(f2987,plain,
( sP2(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(resolution,[],[f2979,f2912]) ).
fof(f2912,plain,
( ~ sP3(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f58,f2911]) ).
fof(f58,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2979,plain,
( ! [X6] :
( sP3(X6)
| sP2(inverse(X6)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(forward_demodulation,[],[f260,f2921]) ).
fof(f260,plain,
( ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl26_20
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f2948,plain,
( ~ spl26_1
| ~ spl26_6
| spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f2947]) ).
fof(f2947,plain,
( $false
| ~ spl26_1
| ~ spl26_6
| spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f2937,f166]) ).
fof(f166,plain,
( sk_c8 != sF17
| spl26_7 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl26_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f2937,plain,
( sk_c8 = sF17
| ~ spl26_1
| ~ spl26_6
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2892,f2921]) ).
fof(f2892,plain,
( sk_c8 = multiply(sF17,sk_c10)
| ~ spl26_6
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2730,f2875]) ).
fof(f2730,plain,
( sk_c8 = multiply(sF17,sk_c11)
| ~ spl26_6 ),
inference(forward_demodulation,[],[f2718,f80]) ).
fof(f80,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f2718,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl26_6 ),
inference(superposition,[],[f300,f270]) ).
fof(f270,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f78,f162]) ).
fof(f162,plain,
( sk_c11 = sF16
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl26_6
<=> sk_c11 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f78,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f2946,plain,
( ~ spl26_1
| ~ spl26_2
| spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f2945]) ).
fof(f2945,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f2936,f2880]) ).
fof(f2880,plain,
( sk_c10 != sF13
| spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f146,f2875]) ).
fof(f146,plain,
( sk_c11 != sF13
| spl26_3 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl26_3
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f2936,plain,
( sk_c10 = sF13
| ~ spl26_1
| ~ spl26_2
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2893,f2921]) ).
fof(f2893,plain,
( sk_c10 = multiply(sF13,sk_c10)
| ~ spl26_2
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2733,f2875]) ).
fof(f2733,plain,
( sk_c11 = multiply(sF13,sk_c10)
| ~ spl26_2 ),
inference(forward_demodulation,[],[f2731,f72]) ).
fof(f72,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f2731,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c10)
| ~ spl26_2 ),
inference(superposition,[],[f300,f274]) ).
fof(f274,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f69,f142]) ).
fof(f142,plain,
( sk_c10 = sF11
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl26_2
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f69,plain,
multiply(sk_c3,sk_c11) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f2810,plain,
( ~ spl26_15
| ~ spl26_73
| spl26_78 ),
inference(avatar_contradiction_clause,[],[f2809]) ).
fof(f2809,plain,
( $false
| ~ spl26_15
| ~ spl26_73
| spl26_78 ),
inference(subsumption_resolution,[],[f2808,f2712]) ).
fof(f2712,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_73
| spl26_78 ),
inference(forward_demodulation,[],[f1665,f1627]) ).
fof(f1627,plain,
( inverse(identity) = inverse(sk_c10)
| ~ spl26_73 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1665,plain,
( sk_c10 != inverse(identity)
| spl26_78 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1663,plain,
( spl26_78
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_78])]) ).
fof(f2808,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_15
| ~ spl26_73 ),
inference(forward_demodulation,[],[f2749,f1627]) ).
fof(f2749,plain,
( sk_c10 = inverse(identity)
| ~ spl26_15
| ~ spl26_73 ),
inference(backward_demodulation,[],[f621,f2746]) ).
fof(f2746,plain,
( identity = sk_c2
| ~ spl26_15
| ~ spl26_73 ),
inference(forward_demodulation,[],[f2744,f2711]) ).
fof(f2711,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl26_73 ),
inference(forward_demodulation,[],[f2073,f1627]) ).
fof(f2073,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f300,f1]) ).
fof(f2694,plain,
( ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_73
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2693,plain,
( $false
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_73
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2692,f2544]) ).
fof(f2544,plain,
( ~ sP9(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f64,f2541]) ).
fof(f2541,plain,
( sk_c11 = sk_c10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2540,f1664]) ).
fof(f1664,plain,
( sk_c10 = inverse(identity)
| ~ spl26_78 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f2540,plain,
( sk_c11 = inverse(identity)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1683,f2539]) ).
fof(f2539,plain,
( identity = sk_c1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1682,f2527]) ).
fof(f2527,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2526,f2416]) ).
fof(f2416,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_78 ),
inference(backward_demodulation,[],[f2073,f1664]) ).
fof(f2526,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f2518,f2524]) ).
fof(f2524,plain,
( sk_c10 = sk_c9
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2523,f1]) ).
fof(f2523,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1909,f2521]) ).
fof(f2521,plain,
( identity = sk_c2
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f619,f2416]) ).
fof(f2518,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = X0
| ~ spl26_13
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1775,f2416]) ).
fof(f64,plain,
~ sP9(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f2692,plain,
( sP9(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_73
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2691,f2512]) ).
fof(f2512,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_73
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1664,f1627]) ).
fof(f2691,plain,
( sP9(inverse(sk_c10))
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2671,f65]) ).
fof(f65,plain,
~ sP10(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2671,plain,
( sP10(sk_c10)
| sP9(inverse(sk_c10))
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_78 ),
inference(superposition,[],[f2566,f2416]) ).
fof(f2566,plain,
( ! [X3] :
( sP10(multiply(X3,sk_c10))
| sP9(inverse(X3)) )
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_78 ),
inference(forward_demodulation,[],[f247,f2541]) ).
fof(f247,plain,
( ! [X3] :
( sP10(multiply(X3,sk_c11))
| sP9(inverse(X3)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl26_16
<=> ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f2511,plain,
( ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_20
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2510]) ).
fof(f2510,plain,
( $false
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_20
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2509,f57]) ).
fof(f2509,plain,
( sP2(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_20
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2508,f2449]) ).
fof(f2449,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1664,f2441]) ).
fof(f2441,plain,
( identity = sk_c10
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(forward_demodulation,[],[f2439,f2]) ).
fof(f2439,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c8)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(superposition,[],[f300,f2389]) ).
fof(f2389,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f82,f2388]) ).
fof(f2388,plain,
( sk_c8 = sF18
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(forward_demodulation,[],[f2383,f82]) ).
fof(f2383,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f341,f2374]) ).
fof(f2374,plain,
( sk_c11 = sk_c10
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f2363,f2370]) ).
fof(f2370,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(forward_demodulation,[],[f2369,f1]) ).
fof(f2369,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,X0)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f2163,f2367]) ).
fof(f2367,plain,
( identity = sk_c1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1682,f2162]) ).
fof(f2162,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f294,f2044]) ).
fof(f2044,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl26_7 ),
inference(superposition,[],[f300,f2014]) ).
fof(f2014,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl26_7 ),
inference(forward_demodulation,[],[f2012,f1574]) ).
fof(f2012,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl26_7 ),
inference(superposition,[],[f300,f283]) ).
fof(f283,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl26_7 ),
inference(superposition,[],[f2,f269]) ).
fof(f269,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f80,f167]) ).
fof(f167,plain,
( sk_c8 = sF17
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f270]) ).
fof(f2163,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,X0)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f1959,f2162]) ).
fof(f1959,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_1 ),
inference(forward_demodulation,[],[f290,f138]) ).
fof(f290,plain,
! [X0] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sF12,X0),
inference(superposition,[],[f3,f70]) ).
fof(f2363,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f1944,f2163]) ).
fof(f341,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f306,f270]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl26_7 ),
inference(forward_demodulation,[],[f305,f1]) ).
fof(f305,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl26_7 ),
inference(superposition,[],[f3,f283]) ).
fof(f82,plain,
multiply(sk_c8,sk_c10) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f2508,plain,
( sP2(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_20 ),
inference(resolution,[],[f2504,f2399]) ).
fof(f2399,plain,
( ~ sP3(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f58,f2392]) ).
fof(f2392,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f2391,f2370]) ).
fof(f2391,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f1772,f2374]) ).
fof(f2504,plain,
( ! [X6] :
( sP3(X6)
| sP2(inverse(X6)) )
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_20 ),
inference(forward_demodulation,[],[f260,f2448]) ).
fof(f2448,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1574,f2441]) ).
fof(f2503,plain,
( ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_16
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_16
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2501,f2378]) ).
fof(f2378,plain,
( ~ sP9(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f64,f2374]) ).
fof(f2501,plain,
( sP9(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_16
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2500,f2449]) ).
fof(f2500,plain,
( sP9(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_16 ),
inference(resolution,[],[f2495,f65]) ).
fof(f2495,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_16 ),
inference(forward_demodulation,[],[f2494,f2448]) ).
fof(f2494,plain,
( ! [X3] :
( sP10(multiply(X3,sk_c10))
| sP9(inverse(X3)) )
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_16 ),
inference(forward_demodulation,[],[f247,f2374]) ).
fof(f2493,plain,
( ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_18
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2492,plain,
( $false
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_18
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2491,f61]) ).
fof(f2491,plain,
( sP6(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_18
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2490,f2449]) ).
fof(f2490,plain,
( sP6(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_18 ),
inference(resolution,[],[f2489,f2398]) ).
fof(f2398,plain,
( ~ sP7(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f62,f2392]) ).
fof(f2489,plain,
( ! [X4] :
( sP7(X4)
| sP6(inverse(X4)) )
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_18 ),
inference(forward_demodulation,[],[f254,f2448]) ).
fof(f2488,plain,
( ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_19
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2487,plain,
( $false
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_19
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2486,f2377]) ).
fof(f2377,plain,
( ~ sP4(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12 ),
inference(backward_demodulation,[],[f59,f2374]) ).
fof(f2486,plain,
( sP4(sk_c10)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_19
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2485,f2449]) ).
fof(f2485,plain,
( sP4(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_19 ),
inference(resolution,[],[f2472,f60]) ).
fof(f2472,plain,
( ! [X5] :
( sP5(X5)
| sP4(inverse(X5)) )
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_19 ),
inference(forward_demodulation,[],[f2471,f2448]) ).
fof(f2471,plain,
( ! [X5] :
( sP5(multiply(X5,sk_c10))
| sP4(inverse(X5)) )
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_19 ),
inference(forward_demodulation,[],[f257,f2374]) ).
fof(f2463,plain,
( ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| spl26_73
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2462,plain,
( $false
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| spl26_73
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2449,f2418]) ).
fof(f2418,plain,
( sk_c10 != inverse(sk_c10)
| spl26_73
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1628,f1664]) ).
fof(f2404,plain,
( spl26_78
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f2402,f232,f190,f165,f160,f136,f1663]) ).
fof(f2402,plain,
( sk_c10 = inverse(identity)
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_15 ),
inference(backward_demodulation,[],[f621,f2401]) ).
fof(f2401,plain,
( identity = sk_c2
| ~ spl26_1
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_15 ),
inference(forward_demodulation,[],[f619,f2370]) ).
fof(f2360,plain,
( ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_26
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2359,plain,
( $false
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_26
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f2332,f2355]) ).
fof(f2355,plain,
( sP0(sk_c10)
| ~ spl26_15
| ~ spl26_26
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2354,f2240]) ).
fof(f2240,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_78 ),
inference(backward_demodulation,[],[f2073,f1664]) ).
fof(f2354,plain,
( sP0(multiply(sk_c10,sk_c10))
| ~ spl26_15
| ~ spl26_26 ),
inference(forward_demodulation,[],[f552,f234]) ).
fof(f552,plain,
( sP0(multiply(sF25,sk_c10))
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl26_26
<=> sP0(multiply(sF25,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f2332,plain,
( ~ sP0(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f55,f2329]) ).
fof(f2329,plain,
( sk_c11 = sk_c10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2328,f1664]) ).
fof(f2328,plain,
( sk_c11 = inverse(identity)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1683,f2327]) ).
fof(f2327,plain,
( identity = sk_c1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1682,f2321]) ).
fof(f2321,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2320,f2240]) ).
fof(f2320,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f2312,f2318]) ).
fof(f2318,plain,
( sk_c10 = sk_c9
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2317,f1]) ).
fof(f2317,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1909,f2315]) ).
fof(f2315,plain,
( identity = sk_c2
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f619,f2240]) ).
fof(f2312,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = X0
| ~ spl26_13
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1775,f2240]) ).
fof(f2277,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_15
| ~ spl26_26 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2276,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_15
| ~ spl26_26 ),
inference(subsumption_resolution,[],[f2275,f2197]) ).
fof(f2197,plain,
( ~ sP0(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f55,f2170]) ).
fof(f2170,plain,
( sk_c11 = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f311,f2162]) ).
fof(f311,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f302,f274]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl26_3 ),
inference(forward_demodulation,[],[f301,f1]) ).
fof(f301,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl26_3 ),
inference(superposition,[],[f3,f281]) ).
fof(f281,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl26_3 ),
inference(superposition,[],[f2,f273]) ).
fof(f273,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f72,f147]) ).
fof(f147,plain,
( sk_c11 = sF13
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f2275,plain,
( sP0(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_15
| ~ spl26_26 ),
inference(forward_demodulation,[],[f2274,f234]) ).
fof(f2274,plain,
( sP0(sF25)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_26 ),
inference(forward_demodulation,[],[f552,f2257]) ).
fof(f2257,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(backward_demodulation,[],[f1574,f2250]) ).
fof(f2250,plain,
( identity = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f2248,f2]) ).
fof(f2248,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c8)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f300,f2176]) ).
fof(f2176,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(backward_demodulation,[],[f82,f2175]) ).
fof(f2175,plain,
( sk_c8 = sF18
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f2171,f82]) ).
fof(f2171,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(backward_demodulation,[],[f341,f2170]) ).
fof(f2226,plain,
( spl26_78
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f2224,f232,f165,f160,f145,f140,f1663]) ).
fof(f2224,plain,
( sk_c10 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_15 ),
inference(backward_demodulation,[],[f621,f2223]) ).
fof(f2223,plain,
( identity = sk_c2
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_15 ),
inference(forward_demodulation,[],[f619,f2166]) ).
fof(f2166,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f2165,f2162]) ).
fof(f2165,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c10,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f314,f2162]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f3,f311]) ).
fof(f2190,plain,
( spl26_78
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(avatar_split_clause,[],[f2189,f165,f160,f145,f140,f1663]) ).
fof(f2189,plain,
( sk_c10 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f2188,f2170]) ).
fof(f2188,plain,
( sk_c11 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f273,f2179]) ).
fof(f2179,plain,
( identity = sk_c3
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f2178,f2166]) ).
fof(f2178,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f281,f2170]) ).
fof(f2152,plain,
( ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_73
| ~ spl26_78 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
fof(f2151,plain,
( $false
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_73
| ~ spl26_78 ),
inference(trivial_inequality_removal,[],[f2150]) ).
fof(f2150,plain,
( sk_c10 != sk_c10
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_73
| ~ spl26_78 ),
inference(duplicate_literal_removal,[],[f2144]) ).
fof(f2144,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_73
| ~ spl26_78 ),
inference(superposition,[],[f2142,f1894]) ).
fof(f1894,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_73
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1664,f1627]) ).
fof(f2142,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2135,f2130]) ).
fof(f2130,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1574,f2123]) ).
fof(f2123,plain,
( identity = sk_c10
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f2121,f2]) ).
fof(f2121,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c8)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(superposition,[],[f300,f1966]) ).
fof(f1966,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f341,f1925]) ).
fof(f1925,plain,
( sk_c11 = sk_c10
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1924,f1664]) ).
fof(f1924,plain,
( sk_c11 = inverse(identity)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1683,f1923]) ).
fof(f1923,plain,
( identity = sk_c1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1682,f1922]) ).
fof(f1922,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1918,f1900]) ).
fof(f1900,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1558,f1664]) ).
fof(f1558,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f300,f1]) ).
fof(f1918,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1901,f1911]) ).
fof(f1911,plain,
( sk_c10 = sk_c9
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1910,f1]) ).
fof(f1910,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1909,f1907]) ).
fof(f1907,plain,
( identity = sk_c2
| ~ spl26_15
| ~ spl26_78 ),
inference(forward_demodulation,[],[f619,f1900]) ).
fof(f1901,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c9,X0)) = X0
| ~ spl26_13
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1775,f1900]) ).
fof(f2135,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl26_6
| ~ spl26_7
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_78 ),
inference(backward_demodulation,[],[f2000,f2130]) ).
fof(f2000,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f1999,f1927]) ).
fof(f1927,plain,
( ~ sP1(sk_c10)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_78 ),
inference(backward_demodulation,[],[f56,f1925]) ).
fof(f1999,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1998,f1]) ).
fof(f1998,plain,
( ! [X0] :
( sP1(multiply(identity,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_15
| ~ spl26_21
| spl26_26
| ~ spl26_78 ),
inference(subsumption_resolution,[],[f1997,f1903]) ).
fof(f1903,plain,
( ~ sP0(sk_c10)
| ~ spl26_15
| spl26_26
| ~ spl26_78 ),
inference(backward_demodulation,[],[f1891,f1900]) ).
fof(f1891,plain,
( ~ sP0(multiply(sk_c10,sk_c10))
| ~ spl26_15
| spl26_26 ),
inference(forward_demodulation,[],[f551,f234]) ).
fof(f551,plain,
( ~ sP0(multiply(sF25,sk_c10))
| spl26_26 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f1997,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(identity,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_21
| ~ spl26_78 ),
inference(forward_demodulation,[],[f1993,f1900]) ).
fof(f1993,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sP1(multiply(identity,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_21
| ~ spl26_78 ),
inference(superposition,[],[f263,f1664]) ).
fof(f1889,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
fof(f1888,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f1887,f1760]) ).
fof(f1760,plain,
( ~ sP4(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f59,f395]) ).
fof(f395,plain,
( sk_c11 = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f311,f388]) ).
fof(f388,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f354,f387]) ).
fof(f387,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f380,f354]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c5,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f306,f367]) ).
fof(f367,plain,
( sk_c11 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f365,f341]) ).
fof(f365,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f306,f360]) ).
fof(f360,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_8 ),
inference(forward_demodulation,[],[f355,f311]) ).
fof(f355,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl26_6
| ~ spl26_8 ),
inference(superposition,[],[f294,f268]) ).
fof(f268,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f82,f172]) ).
fof(f172,plain,
( sk_c11 = sF18
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl26_8
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f294,f306]) ).
fof(f1887,plain,
( sP4(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12
| ~ spl26_19 ),
inference(forward_demodulation,[],[f1886,f1784]) ).
fof(f1784,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1706,f395]) ).
fof(f1706,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1683,f1705]) ).
fof(f1705,plain,
( sk_c1 = sk_c11
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1701,f1692]) ).
fof(f1692,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1,f1691]) ).
fof(f1691,plain,
( identity = sk_c11
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1690,f1574]) ).
fof(f1690,plain,
( identity = multiply(sk_c11,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1688,f1689]) ).
fof(f1689,plain,
( identity = sk_c5
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f375,f1688]) ).
fof(f375,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f283,f367]) ).
fof(f1688,plain,
( sk_c5 = multiply(sk_c11,sk_c5)
| ~ spl26_6
| ~ spl26_7 ),
inference(forward_demodulation,[],[f356,f1574]) ).
fof(f356,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c5,identity)
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f294,f283]) ).
fof(f1701,plain,
( sk_c11 = multiply(sk_c11,sk_c1)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1682,f1691]) ).
fof(f1886,plain,
( sP4(inverse(sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(resolution,[],[f1884,f60]) ).
fof(f1884,plain,
( ! [X5] :
( sP5(X5)
| sP4(inverse(X5)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_demodulation,[],[f1883,f1724]) ).
fof(f1724,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1700,f395]) ).
fof(f1700,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1574,f1691]) ).
fof(f1883,plain,
( ! [X5] :
( sP5(multiply(X5,sk_c10))
| sP4(inverse(X5)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_demodulation,[],[f257,f395]) ).
fof(f1882,plain,
( ~ spl26_13
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| ~ spl26_13
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f1880,f63]) ).
fof(f63,plain,
~ sP8(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1880,plain,
( sP8(sk_c10)
| ~ spl26_13
| ~ spl26_17 ),
inference(forward_demodulation,[],[f251,f206]) ).
fof(f251,plain,
( sP8(sF23)
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl26_17
<=> sP8(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f1834,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_27 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1833,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_27 ),
inference(subsumption_resolution,[],[f1832,f1761]) ).
fof(f1761,plain,
( ~ sP1(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f56,f395]) ).
fof(f1832,plain,
( sP1(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_27 ),
inference(forward_demodulation,[],[f1831,f625]) ).
fof(f625,plain,
( sk_c10 = sF24
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15 ),
inference(backward_demodulation,[],[f418,f624]) ).
fof(f624,plain,
( ! [X0] : multiply(sF24,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15 ),
inference(forward_demodulation,[],[f623,f1]) ).
fof(f623,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF24,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15 ),
inference(backward_demodulation,[],[f406,f622]) ).
fof(f622,plain,
( identity = sk_c2
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15 ),
inference(forward_demodulation,[],[f619,f404]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f391,f388]) ).
fof(f391,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c10,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f314,f388]) ).
fof(f406,plain,
( ! [X0] : multiply(sF24,X0) = multiply(sk_c2,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f297,f404]) ).
fof(f418,plain,
( sF24 = multiply(sF24,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f112,f406]) ).
fof(f1831,plain,
( sP1(sF24)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_27 ),
inference(forward_demodulation,[],[f1830,f1724]) ).
fof(f1830,plain,
( sP1(multiply(sF24,sk_c10))
| ~ spl26_15
| ~ spl26_27 ),
inference(forward_demodulation,[],[f556,f234]) ).
fof(f556,plain,
( sP1(multiply(sF24,sF25))
| ~ spl26_27 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl26_27
<=> sP1(multiply(sF24,sF25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f1766,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_25 ),
inference(avatar_contradiction_clause,[],[f1765]) ).
fof(f1765,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_25 ),
inference(subsumption_resolution,[],[f1764,f1425]) ).
fof(f1425,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_25 ),
inference(duplicate_literal_removal,[],[f1423]) ).
fof(f1423,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_25 ),
inference(superposition,[],[f1419,f404]) ).
fof(f1419,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_15
| ~ spl26_25 ),
inference(forward_demodulation,[],[f1418,f234]) ).
fof(f1418,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl26_15
| ~ spl26_25 ),
inference(forward_demodulation,[],[f548,f234]) ).
fof(f548,plain,
( ! [X0] :
( sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl26_25 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl26_25
<=> ! [X0] :
( sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_25])]) ).
fof(f1764,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1763,f395]) ).
fof(f1763,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f432,f1715]) ).
fof(f1715,plain,
( identity = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1691,f395]) ).
fof(f432,plain,
( sk_c11 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f273,f431]) ).
fof(f431,plain,
( identity = sk_c3
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f410,f404]) ).
fof(f410,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f402,f404]) ).
fof(f402,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c10,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f320,f390]) ).
fof(f390,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f292,f388]) ).
fof(f292,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl26_2 ),
inference(superposition,[],[f3,f274]) ).
fof(f320,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c3,identity)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f292,f281]) ).
fof(f1417,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1416,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f1415,f60]) ).
fof(f1415,plain,
( sP5(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_demodulation,[],[f1414,f1]) ).
fof(f1414,plain,
( sP5(multiply(identity,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f1408,f437]) ).
fof(f437,plain,
( ~ sP4(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f59,f434]) ).
fof(f434,plain,
( sk_c11 = sk_c10
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f432,f425]) ).
fof(f425,plain,
( sk_c10 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f271,f424]) ).
fof(f424,plain,
( identity = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f422,f419]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f407,f404]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f339,f404]) ).
fof(f339,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f3,f315]) ).
fof(f315,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f304,f272]) ).
fof(f272,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl26_4 ),
inference(backward_demodulation,[],[f74,f152]) ).
fof(f152,plain,
( sk_c9 = sF14
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl26_4
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f74,plain,
multiply(sk_c4,sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(forward_demodulation,[],[f303,f1]) ).
fof(f303,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl26_5 ),
inference(superposition,[],[f3,f282]) ).
fof(f282,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl26_5 ),
inference(superposition,[],[f2,f271]) ).
fof(f422,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f416,f419]) ).
fof(f416,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c9,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f346,f405]) ).
fof(f405,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f293,f404]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f272]) ).
fof(f346,plain,
( multiply(sk_c9,sk_c4) = multiply(sk_c4,identity)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f293,f282]) ).
fof(f271,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f76,f157]) ).
fof(f157,plain,
( sk_c10 = sF15
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl26_5
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f76,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1408,plain,
( sP4(sk_c10)
| sP5(multiply(identity,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(superposition,[],[f1406,f425]) ).
fof(f1406,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c10)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_demodulation,[],[f257,f434]) ).
fof(f1405,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1404,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f1403,f428]) ).
fof(f428,plain,
( ~ sP7(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f62,f423]) ).
fof(f423,plain,
( sk_c10 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f350,f419]) ).
fof(f350,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(forward_demodulation,[],[f345,f272]) ).
fof(f345,plain,
( multiply(sk_c4,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f293,f324]) ).
fof(f324,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(forward_demodulation,[],[f319,f274]) ).
fof(f319,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f292,f311]) ).
fof(f1403,plain,
( sP7(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(forward_demodulation,[],[f1402,f1]) ).
fof(f1402,plain,
( sP7(multiply(identity,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f1396,f61]) ).
fof(f1396,plain,
( sP6(sk_c10)
| sP7(multiply(identity,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(superposition,[],[f254,f425]) ).
fof(f1386,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f1385]) ).
fof(f1385,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f1384,f427]) ).
fof(f427,plain,
( ~ sP3(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f58,f423]) ).
fof(f1384,plain,
( sP3(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(forward_demodulation,[],[f1383,f1]) ).
fof(f1383,plain,
( sP3(multiply(identity,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f1382,f57]) ).
fof(f1382,plain,
( sP2(sk_c10)
| sP3(multiply(identity,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(superposition,[],[f260,f425]) ).
fof(f640,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(avatar_split_clause,[],[f639,f190,f170,f165,f160,f155,f150,f145,f140,f136]) ).
fof(f639,plain,
( sk_c10 = sF12
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f451,f638]) ).
fof(f638,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f637,f1]) ).
fof(f637,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f389,f636]) ).
fof(f636,plain,
( identity = sk_c1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f633,f404]) ).
fof(f633,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f280,f632]) ).
fof(f632,plain,
( sk_c10 = sF22
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f192,f434]) ).
fof(f389,plain,
( ! [X0] : multiply(sF12,X0) = multiply(sk_c1,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f290,f388]) ).
fof(f451,plain,
( sF12 = multiply(sF12,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f400,f434]) ).
fof(f400,plain,
( sF12 = multiply(sF12,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f70,f389]) ).
fof(f589,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f588,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f571,f481]) ).
fof(f481,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f448,f476]) ).
fof(f476,plain,
( sk_c10 = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f460,f465]) ).
fof(f465,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f1,f399]) ).
fof(f399,plain,
( identity = sk_c6
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f384,f388]) ).
fof(f384,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(forward_demodulation,[],[f375,f361]) ).
fof(f361,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c11,sk_c6)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f357,f356]) ).
fof(f357,plain,
( multiply(sk_c5,identity) = multiply(sk_c11,sk_c6)
| ~ spl26_6
| ~ spl26_10 ),
inference(superposition,[],[f294,f285]) ).
fof(f285,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl26_10 ),
inference(superposition,[],[f2,f266]) ).
fof(f266,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f86,f182]) ).
fof(f182,plain,
( sk_c8 = sF20
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl26_10
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f86,plain,
inverse(sk_c6) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f460,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f447,f393]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f379,f388]) ).
fof(f379,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c11,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f296,f367]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl26_11 ),
inference(superposition,[],[f3,f265]) ).
fof(f265,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f88,f187]) ).
fof(f187,plain,
( sk_c6 = sF21
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl26_11
<=> sk_c6 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f88,plain,
multiply(sk_c7,sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f447,plain,
( sk_c6 = multiply(sk_c7,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f370,f434]) ).
fof(f370,plain,
( sk_c6 = multiply(sk_c7,sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f265,f367]) ).
fof(f448,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f371,f434]) ).
fof(f371,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f266,f367]) ).
fof(f571,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(duplicate_literal_removal,[],[f567]) ).
fof(f567,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(superposition,[],[f544,f404]) ).
fof(f544,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f543,f436]) ).
fof(f436,plain,
( ~ sP1(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f56,f434]) ).
fof(f543,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(forward_demodulation,[],[f542,f404]) ).
fof(f542,plain,
( ! [X0] :
( sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f541,f435]) ).
fof(f435,plain,
( ~ sP0(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f55,f434]) ).
fof(f541,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(forward_demodulation,[],[f525,f404]) ).
fof(f525,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sP1(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(superposition,[],[f263,f481]) ).
fof(f557,plain,
( spl26_25
| spl26_26
| spl26_27
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(avatar_split_clause,[],[f545,f262,f170,f165,f160,f145,f140,f554,f550,f547]) ).
fof(f545,plain,
( ! [X0] :
( sP1(multiply(sF24,sF25))
| sP0(multiply(sF25,sk_c10))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f526,f406]) ).
fof(f526,plain,
( ! [X0] :
( sP0(multiply(sF25,sk_c10))
| sP1(multiply(sk_c2,sF25))
| sF25 != inverse(multiply(X0,sF25))
| inverse(X0) != multiply(X0,sF25) )
| ~ spl26_21 ),
inference(superposition,[],[f263,f123]) ).
fof(f454,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f443,f63]) ).
fof(f443,plain,
( sP8(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_17 ),
inference(backward_demodulation,[],[f333,f434]) ).
fof(f333,plain,
( sP8(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_17 ),
inference(backward_demodulation,[],[f251,f330]) ).
fof(f330,plain,
( sk_c11 = sF23
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5 ),
inference(forward_demodulation,[],[f328,f311]) ).
fof(f328,plain,
( sF23 = multiply(sk_c11,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f302,f325]) ).
fof(f325,plain,
( sk_c10 = multiply(sk_c3,sF23)
| ~ spl26_2
| ~ spl26_4
| ~ spl26_5 ),
inference(forward_demodulation,[],[f321,f315]) ).
fof(f321,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c3,sF23)
| ~ spl26_2 ),
inference(superposition,[],[f292,f101]) ).
fof(f452,plain,
( spl26_13
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(avatar_split_clause,[],[f442,f170,f165,f160,f155,f150,f145,f140,f204]) ).
fof(f442,plain,
( sk_c10 = sF23
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f330,f434]) ).
fof(f279,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f277,f64]) ).
fof(f277,plain,
( sP9(sk_c11)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_16 ),
inference(forward_demodulation,[],[f276,f273]) ).
fof(f276,plain,
( sP9(inverse(sk_c3))
| ~ spl26_2
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f275,f65]) ).
fof(f275,plain,
( sP10(sk_c10)
| sP9(inverse(sk_c3))
| ~ spl26_2
| ~ spl26_16 ),
inference(superposition,[],[f247,f274]) ).
fof(f264,plain,
( spl26_16
| spl26_17
| spl26_18
| spl26_19
| spl26_20
| spl26_21 ),
inference(avatar_split_clause,[],[f134,f262,f259,f256,f253,f249,f246]) ).
fof(f134,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c10))
| sP8(sF23)
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(definition_folding,[],[f68,f101]) ).
fof(f68,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c10))
| sP1(multiply(X7,inverse(X7)))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c10))
| sP8(multiply(sk_c11,sk_c9))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X9,X8)) != X8
| inverse(X9) != multiply(X9,X8)
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c10))
| sP8(multiply(sk_c11,sk_c9))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sP0(multiply(X8,sk_c10))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c10))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c11))
| sP6(inverse(X4))
| sP7(multiply(X4,sk_c10))
| sP8(multiply(sk_c11,sk_c9))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c11)) ),
inference(inequality_splitting,[],[f54,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c11 != multiply(X8,sk_c10)
| inverse(X7) != X8
| sk_c11 != multiply(X7,X8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f244,plain,
( spl26_15
| spl26_11 ),
inference(avatar_split_clause,[],[f133,f185,f232]) ).
fof(f133,plain,
( sk_c6 = sF21
| sk_c10 = sF25 ),
inference(definition_folding,[],[f53,f123,f88]) ).
fof(f53,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f243,plain,
( spl26_15
| spl26_10 ),
inference(avatar_split_clause,[],[f132,f180,f232]) ).
fof(f132,plain,
( sk_c8 = sF20
| sk_c10 = sF25 ),
inference(definition_folding,[],[f52,f123,f86]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f241,plain,
( spl26_15
| spl26_8 ),
inference(avatar_split_clause,[],[f130,f170,f232]) ).
fof(f130,plain,
( sk_c11 = sF18
| sk_c10 = sF25 ),
inference(definition_folding,[],[f50,f123,f82]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f240,plain,
( spl26_15
| spl26_7 ),
inference(avatar_split_clause,[],[f129,f165,f232]) ).
fof(f129,plain,
( sk_c8 = sF17
| sk_c10 = sF25 ),
inference(definition_folding,[],[f49,f123,f80]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f239,plain,
( spl26_15
| spl26_6 ),
inference(avatar_split_clause,[],[f128,f160,f232]) ).
fof(f128,plain,
( sk_c11 = sF16
| sk_c10 = sF25 ),
inference(definition_folding,[],[f48,f123,f78]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f238,plain,
( spl26_15
| spl26_5 ),
inference(avatar_split_clause,[],[f127,f155,f232]) ).
fof(f127,plain,
( sk_c10 = sF15
| sk_c10 = sF25 ),
inference(definition_folding,[],[f47,f123,f76]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f237,plain,
( spl26_15
| spl26_4 ),
inference(avatar_split_clause,[],[f126,f150,f232]) ).
fof(f126,plain,
( sk_c9 = sF14
| sk_c10 = sF25 ),
inference(definition_folding,[],[f46,f123,f74]) ).
fof(f46,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f236,plain,
( spl26_15
| spl26_3 ),
inference(avatar_split_clause,[],[f125,f145,f232]) ).
fof(f125,plain,
( sk_c11 = sF13
| sk_c10 = sF25 ),
inference(definition_folding,[],[f45,f123,f72]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f235,plain,
( spl26_15
| spl26_2 ),
inference(avatar_split_clause,[],[f124,f140,f232]) ).
fof(f124,plain,
( sk_c10 = sF11
| sk_c10 = sF25 ),
inference(definition_folding,[],[f44,f123,f69]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f227,plain,
( spl26_14
| spl26_8 ),
inference(avatar_split_clause,[],[f119,f170,f218]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c9 = sF24 ),
inference(definition_folding,[],[f40,f112,f82]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f226,plain,
( spl26_14
| spl26_7 ),
inference(avatar_split_clause,[],[f118,f165,f218]) ).
fof(f118,plain,
( sk_c8 = sF17
| sk_c9 = sF24 ),
inference(definition_folding,[],[f39,f112,f80]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f225,plain,
( spl26_14
| spl26_6 ),
inference(avatar_split_clause,[],[f117,f160,f218]) ).
fof(f117,plain,
( sk_c11 = sF16
| sk_c9 = sF24 ),
inference(definition_folding,[],[f38,f112,f78]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f222,plain,
( spl26_14
| spl26_3 ),
inference(avatar_split_clause,[],[f114,f145,f218]) ).
fof(f114,plain,
( sk_c11 = sF13
| sk_c9 = sF24 ),
inference(definition_folding,[],[f35,f112,f72]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f221,plain,
( spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f113,f140,f218]) ).
fof(f113,plain,
( sk_c10 = sF11
| sk_c9 = sF24 ),
inference(definition_folding,[],[f34,f112,f69]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f213,plain,
( spl26_13
| spl26_8 ),
inference(avatar_split_clause,[],[f108,f170,f204]) ).
fof(f108,plain,
( sk_c11 = sF18
| sk_c10 = sF23 ),
inference(definition_folding,[],[f30,f101,f82]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f212,plain,
( spl26_13
| spl26_7 ),
inference(avatar_split_clause,[],[f107,f165,f204]) ).
fof(f107,plain,
( sk_c8 = sF17
| sk_c10 = sF23 ),
inference(definition_folding,[],[f29,f101,f80]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f211,plain,
( spl26_13
| spl26_6 ),
inference(avatar_split_clause,[],[f106,f160,f204]) ).
fof(f106,plain,
( sk_c11 = sF16
| sk_c10 = sF23 ),
inference(definition_folding,[],[f28,f101,f78]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f210,plain,
( spl26_13
| spl26_5 ),
inference(avatar_split_clause,[],[f105,f155,f204]) ).
fof(f105,plain,
( sk_c10 = sF15
| sk_c10 = sF23 ),
inference(definition_folding,[],[f27,f101,f76]) ).
fof(f27,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f209,plain,
( spl26_13
| spl26_4 ),
inference(avatar_split_clause,[],[f104,f150,f204]) ).
fof(f104,plain,
( sk_c9 = sF14
| sk_c10 = sF23 ),
inference(definition_folding,[],[f26,f101,f74]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f208,plain,
( spl26_13
| spl26_3 ),
inference(avatar_split_clause,[],[f103,f145,f204]) ).
fof(f103,plain,
( sk_c11 = sF13
| sk_c10 = sF23 ),
inference(definition_folding,[],[f25,f101,f72]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f207,plain,
( spl26_13
| spl26_2 ),
inference(avatar_split_clause,[],[f102,f140,f204]) ).
fof(f102,plain,
( sk_c10 = sF11
| sk_c10 = sF23 ),
inference(definition_folding,[],[f24,f101,f69]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f202,plain,
( spl26_12
| spl26_11 ),
inference(avatar_split_clause,[],[f100,f185,f190]) ).
fof(f100,plain,
( sk_c6 = sF21
| sk_c11 = sF22 ),
inference(definition_folding,[],[f23,f90,f88]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f201,plain,
( spl26_12
| spl26_10 ),
inference(avatar_split_clause,[],[f99,f180,f190]) ).
fof(f99,plain,
( sk_c8 = sF20
| sk_c11 = sF22 ),
inference(definition_folding,[],[f22,f90,f86]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f199,plain,
( spl26_12
| spl26_8 ),
inference(avatar_split_clause,[],[f97,f170,f190]) ).
fof(f97,plain,
( sk_c11 = sF18
| sk_c11 = sF22 ),
inference(definition_folding,[],[f20,f90,f82]) ).
fof(f20,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f198,plain,
( spl26_12
| spl26_7 ),
inference(avatar_split_clause,[],[f96,f165,f190]) ).
fof(f96,plain,
( sk_c8 = sF17
| sk_c11 = sF22 ),
inference(definition_folding,[],[f19,f90,f80]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f197,plain,
( spl26_12
| spl26_6 ),
inference(avatar_split_clause,[],[f95,f160,f190]) ).
fof(f95,plain,
( sk_c11 = sF16
| sk_c11 = sF22 ),
inference(definition_folding,[],[f18,f90,f78]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f196,plain,
( spl26_12
| spl26_5 ),
inference(avatar_split_clause,[],[f94,f155,f190]) ).
fof(f94,plain,
( sk_c10 = sF15
| sk_c11 = sF22 ),
inference(definition_folding,[],[f17,f90,f76]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f195,plain,
( spl26_12
| spl26_4 ),
inference(avatar_split_clause,[],[f93,f150,f190]) ).
fof(f93,plain,
( sk_c9 = sF14
| sk_c11 = sF22 ),
inference(definition_folding,[],[f16,f90,f74]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f194,plain,
( spl26_12
| spl26_3 ),
inference(avatar_split_clause,[],[f92,f145,f190]) ).
fof(f92,plain,
( sk_c11 = sF13
| sk_c11 = sF22 ),
inference(definition_folding,[],[f15,f90,f72]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f193,plain,
( spl26_12
| spl26_2 ),
inference(avatar_split_clause,[],[f91,f140,f190]) ).
fof(f91,plain,
( sk_c10 = sF11
| sk_c11 = sF22 ),
inference(definition_folding,[],[f14,f90,f69]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f173,plain,
( spl26_1
| spl26_8 ),
inference(avatar_split_clause,[],[f83,f170,f136]) ).
fof(f83,plain,
( sk_c11 = sF18
| sk_c10 = sF12 ),
inference(definition_folding,[],[f10,f70,f82]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f168,plain,
( spl26_1
| spl26_7 ),
inference(avatar_split_clause,[],[f81,f165,f136]) ).
fof(f81,plain,
( sk_c8 = sF17
| sk_c10 = sF12 ),
inference(definition_folding,[],[f9,f70,f80]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f163,plain,
( spl26_1
| spl26_6 ),
inference(avatar_split_clause,[],[f79,f160,f136]) ).
fof(f79,plain,
( sk_c11 = sF16
| sk_c10 = sF12 ),
inference(definition_folding,[],[f8,f70,f78]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f158,plain,
( spl26_1
| spl26_5 ),
inference(avatar_split_clause,[],[f77,f155,f136]) ).
fof(f77,plain,
( sk_c10 = sF15
| sk_c10 = sF12 ),
inference(definition_folding,[],[f7,f70,f76]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f153,plain,
( spl26_1
| spl26_4 ),
inference(avatar_split_clause,[],[f75,f150,f136]) ).
fof(f75,plain,
( sk_c9 = sF14
| sk_c10 = sF12 ),
inference(definition_folding,[],[f6,f70,f74]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f148,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f73,f145,f136]) ).
fof(f73,plain,
( sk_c11 = sF13
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f70,f72]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f143,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f71,f140,f136]) ).
fof(f71,plain,
( sk_c10 = sF11
| sk_c10 = sF12 ),
inference(definition_folding,[],[f4,f70,f69]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP271-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n006.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 05:22:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73 % (8382)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74 % (8375)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (8382)Refutation not found, incomplete strategy% (8382)------------------------------
% 0.56/0.74 % (8382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (8382)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (8382)Memory used [KB]: 1093
% 0.56/0.74 % (8382)Time elapsed: 0.004 s
% 0.56/0.74 % (8382)Instructions burned: 5 (million)
% 0.56/0.74 % (8382)------------------------------
% 0.56/0.74 % (8382)------------------------------
% 0.56/0.74 % (8375)Refutation not found, incomplete strategy% (8375)------------------------------
% 0.56/0.74 % (8375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (8375)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (8375)Memory used [KB]: 1091
% 0.56/0.74 % (8375)Time elapsed: 0.004 s
% 0.56/0.74 % (8375)Instructions burned: 5 (million)
% 0.56/0.74 % (8381)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (8375)------------------------------
% 0.56/0.74 % (8375)------------------------------
% 0.56/0.74 % (8377)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (8376)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (8383)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.56/0.74 % (8378)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (8377)Refutation not found, incomplete strategy% (8377)------------------------------
% 0.56/0.74 % (8377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (8377)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (8377)Memory used [KB]: 1101
% 0.56/0.74 % (8377)Time elapsed: 0.006 s
% 0.56/0.74 % (8377)Instructions burned: 7 (million)
% 0.56/0.74 % (8377)------------------------------
% 0.56/0.74 % (8377)------------------------------
% 0.56/0.74 % (8378)Refutation not found, incomplete strategy% (8378)------------------------------
% 0.56/0.74 % (8378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (8378)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (8378)Memory used [KB]: 1009
% 0.56/0.74 % (8378)Time elapsed: 0.005 s
% 0.56/0.74 % (8378)Instructions burned: 5 (million)
% 0.56/0.75 % (8378)------------------------------
% 0.56/0.75 % (8378)------------------------------
% 0.56/0.75 % (8383)Refutation not found, incomplete strategy% (8383)------------------------------
% 0.56/0.75 % (8383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8383)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (8383)Memory used [KB]: 1112
% 0.56/0.75 % (8383)Time elapsed: 0.005 s
% 0.56/0.75 % (8383)Instructions burned: 7 (million)
% 0.56/0.75 % (8383)------------------------------
% 0.56/0.75 % (8383)------------------------------
% 0.56/0.75 % (8384)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.56/0.75 % (8380)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.75 % (8385)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.75 % (8379)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.56/0.75 % (8386)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.56/0.75 % (8379)Refutation not found, incomplete strategy% (8379)------------------------------
% 0.56/0.75 % (8379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8379)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (8379)Memory used [KB]: 1109
% 0.56/0.75 % (8379)Time elapsed: 0.004 s
% 0.56/0.75 % (8379)Instructions burned: 6 (million)
% 0.56/0.75 % (8379)------------------------------
% 0.56/0.75 % (8379)------------------------------
% 0.56/0.75 % (8384)Refutation not found, incomplete strategy% (8384)------------------------------
% 0.56/0.75 % (8384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8384)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (8384)Memory used [KB]: 1084
% 0.56/0.75 % (8384)Time elapsed: 0.005 s
% 0.56/0.75 % (8384)Instructions burned: 9 (million)
% 0.56/0.75 % (8380)Refutation not found, incomplete strategy% (8380)------------------------------
% 0.56/0.75 % (8380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8380)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (8380)Memory used [KB]: 1083
% 0.56/0.75 % (8380)Time elapsed: 0.005 s
% 0.56/0.75 % (8380)Instructions burned: 7 (million)
% 0.56/0.75 % (8384)------------------------------
% 0.56/0.75 % (8384)------------------------------
% 0.56/0.75 % (8380)------------------------------
% 0.56/0.75 % (8380)------------------------------
% 0.56/0.75 % (8387)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.56/0.75 % (8386)Refutation not found, incomplete strategy% (8386)------------------------------
% 0.56/0.75 % (8386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (8386)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (8386)Memory used [KB]: 1085
% 0.56/0.75 % (8386)Time elapsed: 0.005 s
% 0.56/0.75 % (8386)Instructions burned: 7 (million)
% 0.56/0.75 % (8386)------------------------------
% 0.56/0.75 % (8386)------------------------------
% 0.56/0.75 % (8389)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.56/0.76 % (8390)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.56/0.76 % (8390)Refutation not found, incomplete strategy% (8390)------------------------------
% 0.56/0.76 % (8390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (8390)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (8390)Memory used [KB]: 1030
% 0.56/0.76 % (8390)Time elapsed: 0.003 s
% 0.56/0.76 % (8390)Instructions burned: 5 (million)
% 0.56/0.76 % (8390)------------------------------
% 0.56/0.76 % (8390)------------------------------
% 0.56/0.76 % (8381)Instruction limit reached!
% 0.56/0.76 % (8381)------------------------------
% 0.56/0.76 % (8381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (8381)Termination reason: Unknown
% 0.56/0.76 % (8381)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (8381)Memory used [KB]: 2120
% 0.56/0.76 % (8381)Time elapsed: 0.026 s
% 0.56/0.76 % (8381)Instructions burned: 86 (million)
% 0.56/0.76 % (8381)------------------------------
% 0.56/0.76 % (8381)------------------------------
% 0.56/0.76 % (8388)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.56/0.76 % (8391)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.56/0.76 % (8393)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.56/0.77 % (8391)Refutation not found, incomplete strategy% (8391)------------------------------
% 0.56/0.77 % (8391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8391)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (8391)Memory used [KB]: 1095
% 0.56/0.77 % (8391)Time elapsed: 0.002 s
% 0.56/0.77 % (8391)Instructions burned: 5 (million)
% 0.56/0.77 % (8388)Refutation not found, incomplete strategy% (8388)------------------------------
% 0.56/0.77 % (8388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8388)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (8388)Memory used [KB]: 1110
% 0.56/0.77 % (8388)Time elapsed: 0.004 s
% 0.56/0.77 % (8388)Instructions burned: 5 (million)
% 0.56/0.77 % (8391)------------------------------
% 0.56/0.77 % (8391)------------------------------
% 0.56/0.77 % (8389)Refutation not found, incomplete strategy% (8389)------------------------------
% 0.56/0.77 % (8389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8389)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (8389)Memory used [KB]: 1220
% 0.56/0.77 % (8389)Time elapsed: 0.013 s
% 0.56/0.77 % (8389)Instructions burned: 24 (million)
% 0.56/0.77 % (8388)------------------------------
% 0.56/0.77 % (8388)------------------------------
% 0.56/0.77 % (8389)------------------------------
% 0.56/0.77 % (8389)------------------------------
% 0.56/0.77 % (8393)Refutation not found, incomplete strategy% (8393)------------------------------
% 0.56/0.77 % (8393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8393)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (8393)Memory used [KB]: 1029
% 0.56/0.77 % (8393)Time elapsed: 0.003 s
% 0.56/0.77 % (8393)Instructions burned: 4 (million)
% 0.56/0.77 % (8393)------------------------------
% 0.56/0.77 % (8393)------------------------------
% 0.56/0.77 % (8392)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.56/0.77 % (8395)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.56/0.77 % (8396)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.56/0.77 % (8397)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.56/0.77 % (8376)Instruction limit reached!
% 0.56/0.77 % (8376)------------------------------
% 0.56/0.77 % (8376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8376)Termination reason: Unknown
% 0.56/0.77 % (8376)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (8376)Memory used [KB]: 1720
% 0.56/0.77 % (8376)Time elapsed: 0.030 s
% 0.56/0.77 % (8376)Instructions burned: 51 (million)
% 0.56/0.77 % (8376)------------------------------
% 0.56/0.77 % (8376)------------------------------
% 0.56/0.77 % (8396)Refutation not found, incomplete strategy% (8396)------------------------------
% 0.56/0.77 % (8396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8396)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (8396)Memory used [KB]: 1118
% 0.56/0.77 % (8396)Time elapsed: 0.004 s
% 0.56/0.77 % (8396)Instructions burned: 6 (million)
% 0.56/0.77 % (8396)------------------------------
% 0.56/0.77 % (8396)------------------------------
% 0.56/0.77 % (8395)Refutation not found, incomplete strategy% (8395)------------------------------
% 0.56/0.77 % (8395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (8395)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (8395)Memory used [KB]: 1101
% 0.56/0.77 % (8395)Time elapsed: 0.005 s
% 0.56/0.77 % (8395)Instructions burned: 8 (million)
% 0.56/0.77 % (8394)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.56/0.77 % (8395)------------------------------
% 0.56/0.77 % (8395)------------------------------
% 0.56/0.77 % (8398)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.56/0.78 % (8394)Refutation not found, incomplete strategy% (8394)------------------------------
% 0.56/0.78 % (8394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (8394)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (8394)Memory used [KB]: 1085
% 0.56/0.78 % (8394)Time elapsed: 0.005 s
% 0.56/0.78 % (8394)Instructions burned: 7 (million)
% 0.56/0.78 % (8394)------------------------------
% 0.56/0.78 % (8394)------------------------------
% 0.56/0.78 % (8398)Refutation not found, incomplete strategy% (8398)------------------------------
% 0.56/0.78 % (8398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (8398)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78
% 0.56/0.78 % (8398)Memory used [KB]: 1109
% 0.56/0.78 % (8398)Time elapsed: 0.004 s
% 0.56/0.78 % (8398)Instructions burned: 5 (million)
% 0.56/0.78 % (8398)------------------------------
% 0.56/0.78 % (8398)------------------------------
% 0.56/0.78 % (8400)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.56/0.78 % (8401)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.56/0.78 % (8402)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.56/0.78 % (8399)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.75/0.79 % (8400)Instruction limit reached!
% 0.75/0.79 % (8400)------------------------------
% 0.75/0.79 % (8400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.79 % (8400)Termination reason: Unknown
% 0.75/0.79 % (8400)Termination phase: Saturation
% 0.75/0.79
% 0.75/0.79 % (8400)Memory used [KB]: 1181
% 0.75/0.79 % (8400)Time elapsed: 0.017 s
% 0.75/0.79 % (8400)Instructions burned: 35 (million)
% 0.75/0.79 % (8400)------------------------------
% 0.75/0.79 % (8400)------------------------------
% 0.75/0.79 % (8397)Instruction limit reached!
% 0.75/0.79 % (8397)------------------------------
% 0.75/0.79 % (8397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.79 % (8397)Termination reason: Unknown
% 0.75/0.79 % (8397)Termination phase: Saturation
% 0.75/0.79
% 0.75/0.79 % (8397)Memory used [KB]: 1191
% 0.75/0.79 % (8397)Time elapsed: 0.026 s
% 0.75/0.79 % (8397)Instructions burned: 54 (million)
% 0.75/0.79 % (8397)------------------------------
% 0.75/0.79 % (8397)------------------------------
% 0.75/0.79 % (8392)Instruction limit reached!
% 0.75/0.79 % (8392)------------------------------
% 0.75/0.79 % (8392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.79 % (8392)Termination reason: Unknown
% 0.75/0.79 % (8392)Termination phase: Saturation
% 0.75/0.79
% 0.75/0.79 % (8392)Memory used [KB]: 2305
% 0.75/0.79 % (8392)Time elapsed: 0.028 s
% 0.75/0.79 % (8392)Instructions burned: 96 (million)
% 0.75/0.79 % (8392)------------------------------
% 0.75/0.79 % (8392)------------------------------
% 0.75/0.80 % (8403)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.75/0.80 % (8404)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.75/0.80 % (8403)Refutation not found, incomplete strategy% (8403)------------------------------
% 0.75/0.80 % (8403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.80 % (8403)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.80
% 0.75/0.80 % (8403)Memory used [KB]: 1006
% 0.75/0.80 % (8403)Time elapsed: 0.002 s
% 0.75/0.80 % (8403)Instructions burned: 5 (million)
% 0.75/0.80 % (8403)------------------------------
% 0.75/0.80 % (8403)------------------------------
% 0.75/0.80 % (8404)Refutation not found, incomplete strategy% (8404)------------------------------
% 0.75/0.80 % (8404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.80 % (8404)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.80
% 0.75/0.80 % (8404)Memory used [KB]: 1135
% 0.75/0.80 % (8405)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.75/0.80 % (8404)Time elapsed: 0.005 s
% 0.75/0.80 % (8404)Instructions burned: 7 (million)
% 0.75/0.80 % (8406)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 0.75/0.80 % (8404)------------------------------
% 0.75/0.80 % (8404)------------------------------
% 0.75/0.81 % (8407)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 0.75/0.82 % (8401)Instruction limit reached!
% 0.75/0.82 % (8401)------------------------------
% 0.75/0.82 % (8401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.82 % (8401)Termination reason: Unknown
% 0.75/0.82 % (8401)Termination phase: Saturation
% 0.75/0.82
% 0.75/0.82 % (8401)Memory used [KB]: 1448
% 0.75/0.82 % (8401)Time elapsed: 0.039 s
% 0.75/0.82 % (8401)Instructions burned: 87 (million)
% 0.75/0.82 % (8401)------------------------------
% 0.75/0.82 % (8401)------------------------------
% 0.75/0.82 % (8405)Instruction limit reached!
% 0.75/0.82 % (8405)------------------------------
% 0.75/0.82 % (8405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.82 % (8405)Termination reason: Unknown
% 0.75/0.82 % (8405)Termination phase: Saturation
% 0.75/0.82
% 0.75/0.82 % (8405)Memory used [KB]: 1500
% 0.75/0.82 % (8405)Time elapsed: 0.043 s
% 0.75/0.82 % (8405)Instructions burned: 41 (million)
% 0.75/0.82 % (8405)------------------------------
% 0.75/0.82 % (8405)------------------------------
% 0.75/0.82 % (8408)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 0.75/0.83 % (8409)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2995ds/37Mi)
% 0.75/0.83 % (8399)Instruction limit reached!
% 0.75/0.83 % (8399)------------------------------
% 0.75/0.83 % (8399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.83 % (8399)Termination reason: Unknown
% 0.75/0.83 % (8399)Termination phase: Saturation
% 0.75/0.83
% 0.75/0.83 % (8399)Memory used [KB]: 2281
% 0.75/0.83 % (8399)Time elapsed: 0.070 s
% 0.75/0.83 % (8399)Instructions burned: 103 (million)
% 0.75/0.83 % (8399)------------------------------
% 0.75/0.83 % (8399)------------------------------
% 0.75/0.83 % (8385)Instruction limit reached!
% 0.75/0.83 % (8385)------------------------------
% 0.75/0.83 % (8385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.83 % (8385)Termination reason: Unknown
% 0.75/0.83 % (8385)Termination phase: Saturation
% 0.75/0.83
% 0.75/0.83 % (8385)Memory used [KB]: 2232
% 0.75/0.83 % (8385)Time elapsed: 0.084 s
% 0.75/0.83 % (8385)Instructions burned: 209 (million)
% 0.75/0.83 % (8385)------------------------------
% 0.75/0.83 % (8385)------------------------------
% 0.75/0.84 % (8402)Instruction limit reached!
% 0.75/0.84 % (8402)------------------------------
% 0.75/0.84 % (8402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.84 % (8402)Termination reason: Unknown
% 0.75/0.84 % (8402)Termination phase: Saturation
% 0.75/0.84
% 0.75/0.84 % (8402)Memory used [KB]: 2082
% 0.75/0.84 % (8402)Time elapsed: 0.063 s
% 0.75/0.84 % (8402)Instructions burned: 110 (million)
% 0.75/0.84 % (8402)------------------------------
% 0.75/0.84 % (8402)------------------------------
% 0.75/0.84 % (8410)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2995ds/55Mi)
% 0.75/0.85 % (8411)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2995ds/47Mi)
% 0.75/0.85 % (8409)Instruction limit reached!
% 0.75/0.85 % (8409)------------------------------
% 0.75/0.85 % (8409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85 % (8409)Termination reason: Unknown
% 0.75/0.85 % (8409)Termination phase: Saturation
% 0.75/0.85
% 0.75/0.85 % (8409)Memory used [KB]: 1679
% 0.75/0.85 % (8409)Time elapsed: 0.042 s
% 0.75/0.85 % (8409)Instructions burned: 38 (million)
% 0.75/0.85 % (8409)------------------------------
% 0.75/0.85 % (8409)------------------------------
% 0.75/0.85 % (8412)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2995ds/32Mi)
% 0.75/0.85 % (8412)Refutation not found, incomplete strategy% (8412)------------------------------
% 0.75/0.85 % (8412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85 % (8412)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.85
% 0.75/0.85 % (8412)Memory used [KB]: 1093
% 0.75/0.85 % (8412)Time elapsed: 0.026 s
% 0.75/0.85 % (8412)Instructions burned: 5 (million)
% 0.75/0.85 % (8412)------------------------------
% 0.75/0.85 % (8412)------------------------------
% 0.75/0.85 % (8406)First to succeed.
% 0.75/0.85 % (8410)Refutation not found, incomplete strategy% (8410)------------------------------
% 0.75/0.85 % (8410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85 % (8410)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.85
% 0.75/0.85 % (8410)Memory used [KB]: 1141
% 0.75/0.85 % (8410)Time elapsed: 0.042 s
% 0.75/0.85 % (8410)Instructions burned: 13 (million)
% 0.75/0.85 % (8413)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2995ds/132Mi)
% 0.75/0.85 % (8410)------------------------------
% 0.75/0.85 % (8410)------------------------------
% 0.75/0.85 % (8414)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 0.75/0.85 % (8413)Refutation not found, incomplete strategy% (8413)------------------------------
% 0.75/0.85 % (8413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85 % (8413)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.85
% 0.75/0.85 % (8413)Memory used [KB]: 981
% 0.75/0.85 % (8413)Time elapsed: 0.004 s
% 0.75/0.85 % (8413)Instructions burned: 6 (million)
% 0.75/0.85 % (8406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8374"
% 0.75/0.85 % (8413)------------------------------
% 0.75/0.85 % (8413)------------------------------
% 0.75/0.85 % (8406)Refutation found. Thanks to Tanya!
% 0.75/0.85 % SZS status Unsatisfiable for theBenchmark
% 0.75/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.86 % (8406)------------------------------
% 0.75/0.86 % (8406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.86 % (8406)Termination reason: Refutation
% 0.75/0.86
% 0.75/0.86 % (8406)Memory used [KB]: 2063
% 0.75/0.86 % (8406)Time elapsed: 0.053 s
% 0.75/0.86 % (8406)Instructions burned: 174 (million)
% 0.75/0.86 % (8374)Success in time 0.508 s
% 0.75/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------