TSTP Solution File: GRP386-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP386-1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:48 EDT 2024
% Result : Unsatisfiable 1.23s 0.87s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 94
% Syntax : Number of formulae : 518 ( 37 unt; 0 def)
% Number of atoms : 2288 ( 463 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 3375 (1605 ~;1745 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 26 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 25 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2596,plain,
$false,
inference(avatar_sat_refutation,[],[f144,f149,f154,f159,f164,f169,f174,f184,f189,f194,f195,f196,f197,f198,f199,f200,f208,f209,f210,f211,f212,f213,f214,f216,f217,f222,f223,f224,f225,f227,f228,f236,f237,f238,f239,f240,f241,f242,f244,f245,f270,f474,f506,f557,f565,f634,f774,f901,f975,f1002,f1015,f1040,f1046,f1064,f1215,f1290,f1312,f1349,f1562,f1999,f2061,f2096,f2109,f2114,f2497,f2511,f2569,f2594]) ).
fof(f2594,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f2593,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f2049,f2578]) ).
fof(f2578,plain,
( sP5(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(forward_demodulation,[],[f2577,f1944]) ).
fof(f1944,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1938,f1613]) ).
fof(f1613,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl26_1 ),
inference(forward_demodulation,[],[f1612,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',left_identity) ).
fof(f1612,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl26_1 ),
inference(superposition,[],[f3,f1071]) ).
fof(f1071,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl26_1 ),
inference(backward_demodulation,[],[f281,f139]) ).
fof(f139,plain,
( sk_c9 = sF12
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl26_1
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f281,plain,
identity = multiply(sF12,sk_c10),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
inverse(sk_c10) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',associativity) ).
fof(f1938,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f953,f1937]) ).
fof(f1937,plain,
( sk_c10 = sk_c8
| ~ spl26_1
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1886,f1934]) ).
fof(f1934,plain,
( sk_c10 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1119,f1883]) ).
fof(f1883,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
| ~ spl26_1
| ~ spl26_14 ),
inference(superposition,[],[f1613,f1519]) ).
fof(f1519,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1518,f1]) ).
fof(f1518,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl26_14 ),
inference(superposition,[],[f3,f847]) ).
fof(f847,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl26_14 ),
inference(forward_demodulation,[],[f741,f221]) ).
fof(f221,plain,
( sk_c10 = sF24
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl26_14
<=> sk_c10 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f741,plain,
identity = multiply(sF24,sk_c1),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
inverse(sk_c1) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1119,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl26_15 ),
inference(forward_demodulation,[],[f123,f235]) ).
fof(f235,plain,
( sk_c10 = sF25
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl26_15
<=> sk_c10 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f123,plain,
multiply(sk_c1,sk_c9) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f1886,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_13 ),
inference(superposition,[],[f1613,f1509]) ).
fof(f1509,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f101,f207]) ).
fof(f207,plain,
( sk_c9 = sF23
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl26_13
<=> sk_c9 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f101,plain,
multiply(sk_c10,sk_c8) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f953,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sk_c10,X0)
| ~ spl26_12 ),
inference(forward_demodulation,[],[f292,f193]) ).
fof(f193,plain,
( sk_c10 = sF22
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl26_12
<=> sk_c10 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f292,plain,
! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sF22,X0),
inference(superposition,[],[f3,f90]) ).
fof(f90,plain,
multiply(sk_c9,sk_c8) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f2577,plain,
( sP5(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f2572,f59]) ).
fof(f59,plain,
~ sP4(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2572,plain,
( sP4(sk_c10)
| sP5(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_20 ),
inference(superposition,[],[f263,f2057]) ).
fof(f2057,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f908,f1997]) ).
fof(f1997,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1940,f1944]) ).
fof(f1940,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl26_1
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1509,f1937]) ).
fof(f908,plain,
( inverse(sk_c10) = sk_c9
| ~ spl26_1 ),
inference(backward_demodulation,[],[f70,f139]) ).
fof(f263,plain,
( ! [X4] :
( sP4(inverse(X4))
| sP5(multiply(X4,sk_c10)) )
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl26_20
<=> ! [X4] :
( sP4(inverse(X4))
| sP5(multiply(X4,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f2049,plain,
( ~ sP5(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f60,f1997]) ).
fof(f60,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2569,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_32 ),
inference(avatar_contradiction_clause,[],[f2568]) ).
fof(f2568,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_32 ),
inference(subsumption_resolution,[],[f2563,f2057]) ).
fof(f2563,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_32 ),
inference(duplicate_literal_removal,[],[f2560]) ).
fof(f2560,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_32 ),
inference(superposition,[],[f676,f1944]) ).
fof(f676,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_32 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl26_32
<=> ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).
fof(f2511,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f2510]) ).
fof(f2510,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f2509,f61]) ).
fof(f61,plain,
~ sP6(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2509,plain,
( sP6(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_demodulation,[],[f2508,f1944]) ).
fof(f2508,plain,
( sP6(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f2503,f62]) ).
fof(f62,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2503,plain,
( sP7(sk_c10)
| sP6(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(superposition,[],[f2501,f2057]) ).
fof(f2501,plain,
( ! [X3] :
( sP7(inverse(X3))
| sP6(multiply(X3,sk_c10)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_demodulation,[],[f260,f1997]) ).
fof(f260,plain,
( ! [X3] :
( sP6(multiply(X3,sk_c9))
| sP7(inverse(X3)) )
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl26_19
<=> ! [X3] :
( sP6(multiply(X3,sk_c9))
| sP7(inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f2497,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f2496]) ).
fof(f2496,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1942,f2495]) ).
fof(f2495,plain,
( sP3(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f2494,f2048]) ).
fof(f2048,plain,
( ~ sP2(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f57,f1997]) ).
fof(f57,plain,
~ sP2(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2494,plain,
( sP2(sk_c10)
| sP3(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f2464,f2057]) ).
fof(f2464,plain,
( sP3(sk_c10)
| sP2(inverse(sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(superposition,[],[f2115,f1944]) ).
fof(f2115,plain,
( ! [X5] :
( sP3(multiply(X5,sk_c10))
| sP2(inverse(X5)) )
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_21 ),
inference(forward_demodulation,[],[f266,f1997]) ).
fof(f266,plain,
( ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c9)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl26_21
<=> ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f1942,plain,
( ~ sP3(sk_c10)
| ~ spl26_1
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f58,f1937]) ).
fof(f58,plain,
~ sP3(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2114,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f2113]) ).
fof(f2113,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f2112,f2110]) ).
fof(f2110,plain,
( ~ sP10(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f909,f1997]) ).
fof(f909,plain,
( ~ sP10(sk_c9)
| ~ spl26_1 ),
inference(backward_demodulation,[],[f134,f139]) ).
fof(f134,plain,
~ sP10(sF12),
inference(definition_folding,[],[f65,f70]) ).
fof(f65,plain,
~ sP10(inverse(sk_c10)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2112,plain,
( sP10(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(forward_demodulation,[],[f249,f1997]) ).
fof(f249,plain,
( sP10(sk_c9)
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl26_16
<=> sP10(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f2109,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2108,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f2107,f2050]) ).
fof(f2050,plain,
( ~ sP8(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f63,f1997]) ).
fof(f63,plain,
~ sP8(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2107,plain,
( sP8(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_18 ),
inference(forward_demodulation,[],[f257,f2054]) ).
fof(f2054,plain,
( sk_c10 = sF23
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f207,f1997]) ).
fof(f257,plain,
( sP8(sF23)
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl26_18
<=> sP8(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f2096,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_84 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2095,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_84 ),
inference(subsumption_resolution,[],[f2094,f56]) ).
fof(f56,plain,
~ sP1(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2094,plain,
( sP1(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_84 ),
inference(forward_demodulation,[],[f2093,f1944]) ).
fof(f2093,plain,
( sP1(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_84 ),
inference(forward_demodulation,[],[f1561,f2075]) ).
fof(f2075,plain,
( sk_c10 = sk_c1
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f2000,f2068]) ).
fof(f2068,plain,
( identity = sk_c10
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f2067,f1944]) ).
fof(f2067,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1071,f1997]) ).
fof(f2000,plain,
( identity = sk_c1
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1887,f1954]) ).
fof(f1954,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_demodulation,[],[f1946,f1944]) ).
fof(f1946,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,X0)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1809,f1944]) ).
fof(f1809,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f3,f1682]) ).
fof(f1682,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f1519,f1119]) ).
fof(f1887,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl26_1
| ~ spl26_14 ),
inference(superposition,[],[f1613,f847]) ).
fof(f1561,plain,
( sP1(multiply(sk_c1,sk_c10))
| ~ spl26_84 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl26_84
<=> sP1(multiply(sk_c1,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_84])]) ).
fof(f2061,plain,
( ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_80 ),
inference(avatar_contradiction_clause,[],[f2060]) ).
fof(f2060,plain,
( $false
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_80 ),
inference(subsumption_resolution,[],[f2058,f55]) ).
fof(f55,plain,
~ sP0(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2058,plain,
( sP0(sk_c10)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_80 ),
inference(backward_demodulation,[],[f1951,f1997]) ).
fof(f1951,plain,
( sP0(sk_c9)
| ~ spl26_1
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15
| ~ spl26_80 ),
inference(backward_demodulation,[],[f1542,f1944]) ).
fof(f1542,plain,
( sP0(multiply(sk_c10,sk_c9))
| ~ spl26_80 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1540,plain,
( spl26_80
<=> sP0(multiply(sk_c10,sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_80])]) ).
fof(f1999,plain,
( ~ spl26_1
| spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f1998]) ).
fof(f1998,plain,
( $false
| ~ spl26_1
| spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f1997,f1961]) ).
fof(f1961,plain,
( sk_c10 != sk_c9
| ~ spl26_1
| spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f142,f1958]) ).
fof(f1958,plain,
( sk_c10 = sF11
| ~ spl26_1
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_15 ),
inference(backward_demodulation,[],[f1923,f1954]) ).
fof(f1923,plain,
( sF11 = multiply(sk_c9,sk_c10)
| ~ spl26_1
| ~ spl26_3 ),
inference(backward_demodulation,[],[f1071,f1916]) ).
fof(f1916,plain,
( identity = sF11
| ~ spl26_1
| ~ spl26_3 ),
inference(forward_demodulation,[],[f1915,f1071]) ).
fof(f1915,plain,
( sF11 = multiply(sk_c9,sk_c10)
| ~ spl26_1
| ~ spl26_3 ),
inference(backward_demodulation,[],[f69,f1882]) ).
fof(f1882,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,X0)
| ~ spl26_1
| ~ spl26_3 ),
inference(superposition,[],[f1613,f303]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl26_3 ),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f302,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl26_3 ),
inference(superposition,[],[f3,f282]) ).
fof(f282,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl26_3 ),
inference(superposition,[],[f2,f279]) ).
fof(f279,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f72,f148]) ).
fof(f148,plain,
( sk_c10 = sF13
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl26_3
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f72,plain,
inverse(sk_c2) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f69,plain,
multiply(sk_c2,sk_c10) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f142,plain,
( sk_c9 != sF11
| spl26_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl26_2
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f1562,plain,
( spl26_32
| spl26_84
| spl26_80
| ~ spl26_14
| ~ spl26_22 ),
inference(avatar_split_clause,[],[f1525,f268,f219,f1540,f1559,f675]) ).
fof(f268,plain,
( spl26_22
<=> ! [X6,X8] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sP1(multiply(X6,inverse(X6)))
| sP0(multiply(inverse(X6),sk_c9))
| inverse(X8) != multiply(X8,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f1525,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c9))
| sP1(multiply(sk_c1,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl26_14
| ~ spl26_22 ),
inference(superposition,[],[f269,f802]) ).
fof(f802,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f112,f221]) ).
fof(f269,plain,
( ! [X8,X6] :
( sP0(multiply(inverse(X6),sk_c9))
| sP1(multiply(X6,inverse(X6)))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f1349,plain,
( spl26_32
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(avatar_split_clause,[],[f1348,f268,f205,f191,f146,f141,f137,f675]) ).
fof(f1348,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1347,f1236]) ).
fof(f1236,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13 ),
inference(backward_demodulation,[],[f908,f1114]) ).
fof(f1114,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f207,f1101]) ).
fof(f1101,plain,
( sk_c10 = sF23
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1067,f1100]) ).
fof(f1100,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1079,f1099]) ).
fof(f1099,plain,
( ! [X0] : multiply(sF23,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1078,f1073]) ).
fof(f1073,plain,
( ! [X1] : multiply(sk_c10,X1) = X1
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(backward_demodulation,[],[f836,f1072]) ).
fof(f1072,plain,
( identity = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1071,f939]) ).
fof(f939,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f330,f193]) ).
fof(f330,plain,
( sF22 = multiply(sk_c9,sF22)
| ~ spl26_2
| ~ spl26_3 ),
inference(forward_demodulation,[],[f328,f320]) ).
fof(f320,plain,
( sF22 = multiply(sk_c2,sF23)
| ~ spl26_2 ),
inference(forward_demodulation,[],[f315,f90]) ).
fof(f315,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c2,sF23)
| ~ spl26_2 ),
inference(superposition,[],[f293,f101]) ).
fof(f293,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl26_2 ),
inference(superposition,[],[f3,f280]) ).
fof(f280,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f69,f143]) ).
fof(f143,plain,
( sk_c9 = sF11
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f328,plain,
( multiply(sk_c2,sF23) = multiply(sk_c9,sF22)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f293,f323]) ).
fof(f323,plain,
( sF23 = multiply(sk_c10,sF22)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f303,f320]) ).
fof(f836,plain,
! [X1] : multiply(identity,X1) = X1,
inference(forward_demodulation,[],[f743,f301]) ).
fof(f301,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f290,f1]) ).
fof(f290,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f743,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f1078,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c10,X0)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1070,f1073]) ).
fof(f1070,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f329,f193]) ).
fof(f329,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c10,multiply(sF22,X0))
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f3,f323]) ).
fof(f1079,plain,
( ! [X0] : multiply(sk_c2,multiply(sF23,X0)) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1069,f1073]) ).
fof(f1069,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sF23,X0))
| ~ spl26_2
| ~ spl26_12 ),
inference(forward_demodulation,[],[f324,f193]) ).
fof(f324,plain,
( ! [X0] : multiply(sF22,X0) = multiply(sk_c2,multiply(sF23,X0))
| ~ spl26_2 ),
inference(superposition,[],[f3,f320]) ).
fof(f1067,plain,
( sk_c10 = multiply(sk_c2,sF23)
| ~ spl26_2
| ~ spl26_12 ),
inference(forward_demodulation,[],[f320,f193]) ).
fof(f1347,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1346,f56]) ).
fof(f1346,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1345,f1236]) ).
fof(f1345,plain,
( ! [X0] :
( sP1(inverse(sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1344,f1073]) ).
fof(f1344,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1343,f1236]) ).
fof(f1343,plain,
( ! [X0] :
( inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1323,f55]) ).
fof(f1323,plain,
( ! [X0] :
( sP0(sk_c10)
| inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(superposition,[],[f1313,f1076]) ).
fof(f1076,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(backward_demodulation,[],[f2,f1072]) ).
fof(f1313,plain,
( ! [X8,X6] :
( sP0(multiply(inverse(X6),sk_c10))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sP1(multiply(X6,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_22 ),
inference(forward_demodulation,[],[f269,f1114]) ).
fof(f1312,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f1310,f1309]) ).
fof(f1309,plain,
( ~ sP10(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f909,f1114]) ).
fof(f1310,plain,
( sP10(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_16 ),
inference(forward_demodulation,[],[f249,f1114]) ).
fof(f1290,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1289,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f1288,f1231]) ).
fof(f1231,plain,
( ~ sP8(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_13 ),
inference(backward_demodulation,[],[f63,f1114]) ).
fof(f1288,plain,
( sP8(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12
| ~ spl26_18 ),
inference(forward_demodulation,[],[f257,f1101]) ).
fof(f1215,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(subsumption_resolution,[],[f1213,f1186]) ).
fof(f1186,plain,
( sk_c10 != sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f162,f1185]) ).
fof(f1185,plain,
( sk_c7 = sF16
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1184,f1073]) ).
fof(f1184,plain,
( sF16 = multiply(sk_c10,sk_c7)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f78,f1179]) ).
fof(f1179,plain,
( sk_c10 = sk_c4
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1172,f1177]) ).
fof(f1177,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1173,f1175]) ).
fof(f1175,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1150,f1073]) ).
fof(f1150,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,X0)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_12 ),
inference(forward_demodulation,[],[f318,f1073]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f303,f293]) ).
fof(f1173,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f296,f1073]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl26_8 ),
inference(superposition,[],[f3,f274]) ).
fof(f274,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f82,f173]) ).
fof(f173,plain,
( sk_c10 = sF18
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl26_8
<=> sk_c10 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f82,plain,
multiply(sk_c7,sk_c9) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1172,plain,
( sk_c10 = multiply(sk_c7,sk_c4)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_12 ),
inference(forward_demodulation,[],[f284,f1072]) ).
fof(f284,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl26_7 ),
inference(superposition,[],[f2,f275]) ).
fof(f275,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f80,f168]) ).
fof(f168,plain,
( sk_c7 = sF17
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl26_7
<=> sk_c7 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f80,plain,
inverse(sk_c4) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f78,plain,
multiply(sk_c4,sk_c7) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f162,plain,
( sk_c10 != sF16
| spl26_6 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl26_6
<=> sk_c10 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f1213,plain,
( sk_c10 = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1212,f1183]) ).
fof(f1183,plain,
( inverse(sk_c10) = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_7
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f275,f1179]) ).
fof(f1212,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_8
| ~ spl26_12 ),
inference(forward_demodulation,[],[f908,f1178]) ).
fof(f1178,plain,
( sk_c10 = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_8
| ~ spl26_12 ),
inference(backward_demodulation,[],[f274,f1177]) ).
fof(f1064,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f1063]) ).
fof(f1063,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f922,f1060]) ).
fof(f1060,plain,
( sP5(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(forward_demodulation,[],[f1059,f417]) ).
fof(f417,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f370,f416]) ).
fof(f416,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f407,f370]) ).
fof(f407,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f307,f394]) ).
fof(f394,plain,
( sk_c10 = sk_c7
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f392,f367]) ).
fof(f367,plain,
( sk_c7 = multiply(sk_c7,sk_c10)
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f307,f276]) ).
fof(f276,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f78,f163]) ).
fof(f163,plain,
( sk_c10 = sF16
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f392,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f307,f376]) ).
fof(f376,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_8 ),
inference(forward_demodulation,[],[f371,f312]) ).
fof(f312,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f303,f280]) ).
fof(f371,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c4,sk_c10)
| ~ spl26_6
| ~ spl26_8 ),
inference(superposition,[],[f295,f274]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f276]) ).
fof(f307,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl26_7 ),
inference(forward_demodulation,[],[f306,f1]) ).
fof(f306,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl26_7 ),
inference(superposition,[],[f3,f284]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f295,f307]) ).
fof(f1059,plain,
( sP5(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f1058,f59]) ).
fof(f1058,plain,
( sP4(sk_c10)
| sP5(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_20 ),
inference(superposition,[],[f263,f914]) ).
fof(f914,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f908,f423]) ).
fof(f423,plain,
( sk_c10 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f312,f417]) ).
fof(f922,plain,
( ~ sP5(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f60,f423]) ).
fof(f1046,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_21
| spl26_26 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1045,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_21
| spl26_26 ),
inference(subsumption_resolution,[],[f1044,f904]) ).
fof(f904,plain,
( ~ sP3(sk_c10)
| ~ spl26_15
| spl26_26 ),
inference(forward_demodulation,[],[f574,f235]) ).
fof(f574,plain,
( ~ sP3(sF25)
| spl26_26 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl26_26
<=> sP3(sF25) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f1044,plain,
( sP3(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f1043,f417]) ).
fof(f1043,plain,
( sP3(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1042,f923]) ).
fof(f923,plain,
( ~ sP2(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f57,f423]) ).
fof(f1042,plain,
( sP2(sk_c10)
| sP3(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(superposition,[],[f1041,f914]) ).
fof(f1041,plain,
( ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c10)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f266,f423]) ).
fof(f1040,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
fof(f1039,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f1038,f61]) ).
fof(f1038,plain,
( sP6(sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_demodulation,[],[f1037,f417]) ).
fof(f1037,plain,
( sP6(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f1036,f62]) ).
fof(f1036,plain,
( sP7(sk_c10)
| sP6(multiply(sk_c10,sk_c10))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(superposition,[],[f1035,f914]) ).
fof(f1035,plain,
( ! [X3] :
( sP7(inverse(X3))
| sP6(multiply(X3,sk_c10)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_demodulation,[],[f260,f423]) ).
fof(f1015,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_32 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1014,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_32 ),
inference(subsumption_resolution,[],[f1009,f914]) ).
fof(f1009,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_32 ),
inference(duplicate_literal_removal,[],[f1005]) ).
fof(f1005,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_32 ),
inference(superposition,[],[f676,f417]) ).
fof(f1002,plain,
( spl26_32
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(avatar_split_clause,[],[f1001,f268,f171,f166,f161,f146,f141,f137,f675]) ).
fof(f1001,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1000,f914]) ).
fof(f1000,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f999,f56]) ).
fof(f999,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(forward_demodulation,[],[f998,f914]) ).
fof(f998,plain,
( ! [X0] :
( sP1(inverse(sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(forward_demodulation,[],[f997,f417]) ).
fof(f997,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(forward_demodulation,[],[f996,f914]) ).
fof(f996,plain,
( ! [X0] :
( inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f990,f55]) ).
fof(f990,plain,
( ! [X0] :
( sP0(sk_c10)
| inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| sP1(multiply(sk_c10,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c10)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(superposition,[],[f977,f972]) ).
fof(f972,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f2,f965]) ).
fof(f965,plain,
( identity = sk_c10
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f964,f417]) ).
fof(f964,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f281,f915]) ).
fof(f915,plain,
( sk_c10 = sF12
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f139,f423]) ).
fof(f977,plain,
( ! [X8,X6] :
( sP0(multiply(inverse(X6),sk_c10))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sP1(multiply(X6,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_22 ),
inference(forward_demodulation,[],[f269,f423]) ).
fof(f975,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_13
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_13
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f973,f921]) ).
fof(f921,plain,
( ~ sP8(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f63,f423]) ).
fof(f973,plain,
( sP8(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_13
| ~ spl26_18 ),
inference(forward_demodulation,[],[f257,f912]) ).
fof(f912,plain,
( sk_c10 = sF23
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_13 ),
inference(backward_demodulation,[],[f207,f423]) ).
fof(f901,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_26 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_15
| ~ spl26_26 ),
inference(subsumption_resolution,[],[f899,f472]) ).
fof(f472,plain,
( ~ sP3(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f454,f460]) ).
fof(f460,plain,
( sk_c10 = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f458,f452]) ).
fof(f452,plain,
( sk_c9 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f277,f451]) ).
fof(f451,plain,
( identity = sk_c3
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f449,f446]) ).
fof(f446,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f435,f431]) ).
fof(f431,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f419,f417]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f318,f417]) ).
fof(f435,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f337,f431]) ).
fof(f337,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl26_4
| ~ spl26_5 ),
inference(backward_demodulation,[],[f292,f335]) ).
fof(f335,plain,
( sk_c9 = sF22
| ~ spl26_4
| ~ spl26_5 ),
inference(forward_demodulation,[],[f333,f90]) ).
fof(f333,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f305,f278]) ).
fof(f278,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| ~ spl26_4 ),
inference(backward_demodulation,[],[f74,f153]) ).
fof(f153,plain,
( sk_c8 = sF14
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl26_4
<=> sk_c8 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f74,plain,
multiply(sk_c3,sk_c9) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl26_5 ),
inference(forward_demodulation,[],[f304,f1]) ).
fof(f304,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl26_5 ),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl26_5 ),
inference(superposition,[],[f2,f277]) ).
fof(f449,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f443,f446]) ).
fof(f443,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c8,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f357,f432]) ).
fof(f432,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f294,f431]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f278]) ).
fof(f357,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c3,identity)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f294,f283]) ).
fof(f277,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f76,f158]) ).
fof(f158,plain,
( sk_c9 = sF15
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl26_5
<=> sk_c9 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f76,plain,
inverse(sk_c3) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f458,plain,
( sk_c10 = inverse(identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f279,f457]) ).
fof(f457,plain,
( identity = sk_c2
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f437,f431]) ).
fof(f437,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f429,f431]) ).
fof(f429,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c9,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f316,f418]) ).
fof(f418,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f293,f417]) ).
fof(f316,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c2,identity)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f293,f282]) ).
fof(f454,plain,
( ~ sP3(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f58,f450]) ).
fof(f450,plain,
( sk_c9 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f361,f446]) ).
fof(f361,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(forward_demodulation,[],[f356,f278]) ).
fof(f356,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c8,sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f294,f327]) ).
fof(f327,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl26_2
| ~ spl26_3 ),
inference(forward_demodulation,[],[f325,f280]) ).
fof(f325,plain,
( multiply(sk_c2,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl26_2
| ~ spl26_3 ),
inference(superposition,[],[f293,f312]) ).
fof(f899,plain,
( sP3(sk_c10)
| ~ spl26_15
| ~ spl26_26 ),
inference(forward_demodulation,[],[f575,f235]) ).
fof(f575,plain,
( sP3(sF25)
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f774,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f773,plain,
( $false
| spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(subsumption_resolution,[],[f772,f653]) ).
fof(f653,plain,
( sk_c10 != sF12
| spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f138,f460]) ).
fof(f138,plain,
( sk_c9 != sF12
| spl26_1 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f772,plain,
( sk_c10 = sF12
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f763,f70]) ).
fof(f763,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f636,f757]) ).
fof(f757,plain,
( sk_c10 = sk_c5
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f480,f752]) ).
fof(f752,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f595,f744]) ).
fof(f744,plain,
( identity = sk_c5
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(forward_demodulation,[],[f740,f417]) ).
fof(f740,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(superposition,[],[f2,f636]) ).
fof(f595,plain,
( ! [X0] : multiply(identity,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f594,f417]) ).
fof(f594,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f521,f523]) ).
fof(f523,plain,
( identity = sk_c3
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f522,f417]) ).
fof(f522,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f412,f417]) ).
fof(f412,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c10,identity)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f383,f394]) ).
fof(f383,plain,
( multiply(sk_c10,sk_c3) = multiply(sk_c7,identity)
| ~ spl26_5
| ~ spl26_8 ),
inference(superposition,[],[f296,f283]) ).
fof(f521,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f411,f417]) ).
fof(f411,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f381,f394]) ).
fof(f381,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl26_5
| ~ spl26_8 ),
inference(superposition,[],[f296,f305]) ).
fof(f480,plain,
( sk_c5 = multiply(sk_c5,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f397,f421]) ).
fof(f421,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f406,f417]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f297,f394]) ).
fof(f297,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl26_11 ),
inference(superposition,[],[f3,f271]) ).
fof(f271,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f88,f188]) ).
fof(f188,plain,
( sk_c5 = sF21
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl26_11
<=> sk_c5 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f88,plain,
multiply(sk_c6,sk_c7) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f397,plain,
( sk_c5 = multiply(sk_c6,sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_11 ),
inference(backward_demodulation,[],[f271,f394]) ).
fof(f636,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f86,f635]) ).
fof(f635,plain,
( sk_c10 = sF20
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(forward_demodulation,[],[f183,f394]) ).
fof(f183,plain,
( sk_c7 = sF20
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl26_10
<=> sk_c7 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f86,plain,
inverse(sk_c5) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f634,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f632,f463]) ).
fof(f463,plain,
( ~ sP8(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f63,f460]) ).
fof(f632,plain,
( sP8(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_18 ),
inference(forward_demodulation,[],[f257,f344]) ).
fof(f344,plain,
( sk_c10 = sF23
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5 ),
inference(forward_demodulation,[],[f339,f312]) ).
fof(f339,plain,
( sF23 = multiply(sk_c10,sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5 ),
inference(backward_demodulation,[],[f323,f335]) ).
fof(f565,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,[],[f564]) ).
fof(f564,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,[],[f563,f472]) ).
fof(f563,plain,
( sP3(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,[],[f562,f417]) ).
fof(f562,plain,
( sP3(multiply(sk_c10,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,[],[f560,f461]) ).
fof(f461,plain,
( ~ sP2(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f57,f460]) ).
fof(f560,plain,
( sP2(sk_c10)
| sP3(multiply(sk_c10,sk_c10))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(superposition,[],[f558,f504]) ).
fof(f504,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f70,f502]) ).
fof(f502,plain,
( sk_c10 = sF12
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f499,f70]) ).
fof(f499,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f398,f495]) ).
fof(f495,plain,
( sk_c10 = sk_c5
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f480,f484]) ).
fof(f484,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f1,f427]) ).
fof(f427,plain,
( identity = sk_c5
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f413,f417]) ).
fof(f413,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(forward_demodulation,[],[f402,f377]) ).
fof(f377,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c10,sk_c5)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_10 ),
inference(forward_demodulation,[],[f373,f372]) ).
fof(f372,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c4,identity)
| ~ spl26_6
| ~ spl26_7 ),
inference(superposition,[],[f295,f284]) ).
fof(f373,plain,
( multiply(sk_c4,identity) = multiply(sk_c10,sk_c5)
| ~ spl26_6
| ~ spl26_10 ),
inference(superposition,[],[f295,f286]) ).
fof(f286,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl26_10 ),
inference(superposition,[],[f2,f272]) ).
fof(f272,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f86,f183]) ).
fof(f402,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f284,f394]) ).
fof(f398,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10 ),
inference(backward_demodulation,[],[f272,f394]) ).
fof(f558,plain,
( ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c10)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(forward_demodulation,[],[f266,f460]) ).
fof(f557,plain,
( ~ spl26_12
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f556,plain,
( $false
| ~ spl26_12
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f555,f64]) ).
fof(f64,plain,
~ sP9(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f555,plain,
( sP9(sk_c10)
| ~ spl26_12
| ~ spl26_17 ),
inference(forward_demodulation,[],[f253,f193]) ).
fof(f253,plain,
( sP9(sF22)
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl26_17
<=> sP9(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f506,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f505,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f503,f466]) ).
fof(f466,plain,
( sP10(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_16 ),
inference(backward_demodulation,[],[f249,f460]) ).
fof(f503,plain,
( ~ sP10(sk_c10)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f134,f502]) ).
fof(f474,plain,
( spl26_12
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(avatar_split_clause,[],[f467,f171,f166,f161,f156,f151,f146,f141,f191]) ).
fof(f467,plain,
( sk_c10 = sF22
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f335,f460]) ).
fof(f270,plain,
( spl26_16
| spl26_17
| spl26_18
| spl26_19
| spl26_20
| spl26_21
| spl26_22 ),
inference(avatar_split_clause,[],[f135,f268,f265,f262,f259,f255,f251,f247]) ).
fof(f135,plain,
! [X3,X8,X6,X4,X5] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6))
| sP0(multiply(inverse(X6),sk_c9))
| sP1(multiply(X6,inverse(X6)))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(X3,sk_c9))
| sP7(inverse(X3))
| sP8(sF23)
| sP9(sF22)
| sP10(sk_c9) ),
inference(definition_folding,[],[f68,f90,f101]) ).
fof(f68,plain,
! [X3,X8,X6,X4,X5] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6))
| sP0(multiply(inverse(X6),sk_c9))
| sP1(multiply(X6,inverse(X6)))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(X3,sk_c9))
| sP7(inverse(X3))
| sP8(multiply(sk_c10,sk_c8))
| sP9(multiply(sk_c9,sk_c8))
| sP10(sk_c9) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X3,X8,X6,X7,X4,X5] :
( inverse(multiply(X8,X7)) != X7
| inverse(X8) != multiply(X8,X7)
| sP0(multiply(X7,sk_c9))
| inverse(X6) != X7
| sP1(multiply(X6,X7))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(X3,sk_c9))
| sP7(inverse(X3))
| sP8(multiply(sk_c10,sk_c8))
| sP9(multiply(sk_c9,sk_c8))
| sP10(sk_c9) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| sP0(multiply(X7,sk_c9))
| inverse(X6) != X7
| sP1(multiply(X6,X7))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(X3,sk_c9))
| sP7(inverse(X3))
| sP8(multiply(sk_c10,sk_c8))
| sP9(multiply(sk_c9,sk_c8))
| sP10(sk_c9) ),
inference(inequality_splitting,[],[f54,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55]) ).
fof(f54,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| sk_c10 != multiply(X7,sk_c9)
| inverse(X6) != X7
| sk_c10 != multiply(X6,X7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != multiply(sk_c9,sk_c8)
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_51) ).
fof(f245,plain,
( spl26_15
| spl26_11 ),
inference(avatar_split_clause,[],[f133,f186,f233]) ).
fof(f133,plain,
( sk_c5 = sF21
| sk_c10 = sF25 ),
inference(definition_folding,[],[f53,f123,f88]) ).
fof(f53,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_50) ).
fof(f244,plain,
( spl26_15
| spl26_10 ),
inference(avatar_split_clause,[],[f132,f181,f233]) ).
fof(f132,plain,
( sk_c7 = sF20
| sk_c10 = sF25 ),
inference(definition_folding,[],[f52,f123,f86]) ).
fof(f52,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_49) ).
fof(f242,plain,
( spl26_15
| spl26_8 ),
inference(avatar_split_clause,[],[f130,f171,f233]) ).
fof(f130,plain,
( sk_c10 = sF18
| sk_c10 = sF25 ),
inference(definition_folding,[],[f50,f123,f82]) ).
fof(f50,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_47) ).
fof(f241,plain,
( spl26_15
| spl26_7 ),
inference(avatar_split_clause,[],[f129,f166,f233]) ).
fof(f129,plain,
( sk_c7 = sF17
| sk_c10 = sF25 ),
inference(definition_folding,[],[f49,f123,f80]) ).
fof(f49,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_46) ).
fof(f240,plain,
( spl26_15
| spl26_6 ),
inference(avatar_split_clause,[],[f128,f161,f233]) ).
fof(f128,plain,
( sk_c10 = sF16
| sk_c10 = sF25 ),
inference(definition_folding,[],[f48,f123,f78]) ).
fof(f48,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_45) ).
fof(f239,plain,
( spl26_15
| spl26_5 ),
inference(avatar_split_clause,[],[f127,f156,f233]) ).
fof(f127,plain,
( sk_c9 = sF15
| sk_c10 = sF25 ),
inference(definition_folding,[],[f47,f123,f76]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_44) ).
fof(f238,plain,
( spl26_15
| spl26_4 ),
inference(avatar_split_clause,[],[f126,f151,f233]) ).
fof(f126,plain,
( sk_c8 = sF14
| sk_c10 = sF25 ),
inference(definition_folding,[],[f46,f123,f74]) ).
fof(f46,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_43) ).
fof(f237,plain,
( spl26_15
| spl26_3 ),
inference(avatar_split_clause,[],[f125,f146,f233]) ).
fof(f125,plain,
( sk_c10 = sF13
| sk_c10 = sF25 ),
inference(definition_folding,[],[f45,f123,f72]) ).
fof(f45,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_42) ).
fof(f236,plain,
( spl26_15
| spl26_2 ),
inference(avatar_split_clause,[],[f124,f141,f233]) ).
fof(f124,plain,
( sk_c9 = sF11
| sk_c10 = sF25 ),
inference(definition_folding,[],[f44,f123,f69]) ).
fof(f44,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_41) ).
fof(f228,plain,
( spl26_14
| spl26_8 ),
inference(avatar_split_clause,[],[f119,f171,f219]) ).
fof(f119,plain,
( sk_c10 = sF18
| sk_c10 = sF24 ),
inference(definition_folding,[],[f40,f112,f82]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_37) ).
fof(f227,plain,
( spl26_14
| spl26_7 ),
inference(avatar_split_clause,[],[f118,f166,f219]) ).
fof(f118,plain,
( sk_c7 = sF17
| sk_c10 = sF24 ),
inference(definition_folding,[],[f39,f112,f80]) ).
fof(f39,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_36) ).
fof(f225,plain,
( spl26_14
| spl26_5 ),
inference(avatar_split_clause,[],[f116,f156,f219]) ).
fof(f116,plain,
( sk_c9 = sF15
| sk_c10 = sF24 ),
inference(definition_folding,[],[f37,f112,f76]) ).
fof(f37,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_34) ).
fof(f224,plain,
( spl26_14
| spl26_4 ),
inference(avatar_split_clause,[],[f115,f151,f219]) ).
fof(f115,plain,
( sk_c8 = sF14
| sk_c10 = sF24 ),
inference(definition_folding,[],[f36,f112,f74]) ).
fof(f36,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_33) ).
fof(f223,plain,
( spl26_14
| spl26_3 ),
inference(avatar_split_clause,[],[f114,f146,f219]) ).
fof(f114,plain,
( sk_c10 = sF13
| sk_c10 = sF24 ),
inference(definition_folding,[],[f35,f112,f72]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_32) ).
fof(f222,plain,
( spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f113,f141,f219]) ).
fof(f113,plain,
( sk_c9 = sF11
| sk_c10 = sF24 ),
inference(definition_folding,[],[f34,f112,f69]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_31) ).
fof(f217,plain,
( spl26_13
| spl26_11 ),
inference(avatar_split_clause,[],[f111,f186,f205]) ).
fof(f111,plain,
( sk_c5 = sF21
| sk_c9 = sF23 ),
inference(definition_folding,[],[f33,f101,f88]) ).
fof(f33,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_30) ).
fof(f216,plain,
( spl26_13
| spl26_10 ),
inference(avatar_split_clause,[],[f110,f181,f205]) ).
fof(f110,plain,
( sk_c7 = sF20
| sk_c9 = sF23 ),
inference(definition_folding,[],[f32,f101,f86]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_29) ).
fof(f214,plain,
( spl26_13
| spl26_8 ),
inference(avatar_split_clause,[],[f108,f171,f205]) ).
fof(f108,plain,
( sk_c10 = sF18
| sk_c9 = sF23 ),
inference(definition_folding,[],[f30,f101,f82]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_27) ).
fof(f213,plain,
( spl26_13
| spl26_7 ),
inference(avatar_split_clause,[],[f107,f166,f205]) ).
fof(f107,plain,
( sk_c7 = sF17
| sk_c9 = sF23 ),
inference(definition_folding,[],[f29,f101,f80]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_26) ).
fof(f212,plain,
( spl26_13
| spl26_6 ),
inference(avatar_split_clause,[],[f106,f161,f205]) ).
fof(f106,plain,
( sk_c10 = sF16
| sk_c9 = sF23 ),
inference(definition_folding,[],[f28,f101,f78]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_25) ).
fof(f211,plain,
( spl26_13
| spl26_5 ),
inference(avatar_split_clause,[],[f105,f156,f205]) ).
fof(f105,plain,
( sk_c9 = sF15
| sk_c9 = sF23 ),
inference(definition_folding,[],[f27,f101,f76]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_24) ).
fof(f210,plain,
( spl26_13
| spl26_4 ),
inference(avatar_split_clause,[],[f104,f151,f205]) ).
fof(f104,plain,
( sk_c8 = sF14
| sk_c9 = sF23 ),
inference(definition_folding,[],[f26,f101,f74]) ).
fof(f26,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_23) ).
fof(f209,plain,
( spl26_13
| spl26_3 ),
inference(avatar_split_clause,[],[f103,f146,f205]) ).
fof(f103,plain,
( sk_c10 = sF13
| sk_c9 = sF23 ),
inference(definition_folding,[],[f25,f101,f72]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_22) ).
fof(f208,plain,
( spl26_13
| spl26_2 ),
inference(avatar_split_clause,[],[f102,f141,f205]) ).
fof(f102,plain,
( sk_c9 = sF11
| sk_c9 = sF23 ),
inference(definition_folding,[],[f24,f101,f69]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_21) ).
fof(f200,plain,
( spl26_12
| spl26_8 ),
inference(avatar_split_clause,[],[f97,f171,f191]) ).
fof(f97,plain,
( sk_c10 = sF18
| sk_c10 = sF22 ),
inference(definition_folding,[],[f20,f90,f82]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_17) ).
fof(f199,plain,
( spl26_12
| spl26_7 ),
inference(avatar_split_clause,[],[f96,f166,f191]) ).
fof(f96,plain,
( sk_c7 = sF17
| sk_c10 = sF22 ),
inference(definition_folding,[],[f19,f90,f80]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_16) ).
fof(f198,plain,
( spl26_12
| spl26_6 ),
inference(avatar_split_clause,[],[f95,f161,f191]) ).
fof(f95,plain,
( sk_c10 = sF16
| sk_c10 = sF22 ),
inference(definition_folding,[],[f18,f90,f78]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_15) ).
fof(f197,plain,
( spl26_12
| spl26_5 ),
inference(avatar_split_clause,[],[f94,f156,f191]) ).
fof(f94,plain,
( sk_c9 = sF15
| sk_c10 = sF22 ),
inference(definition_folding,[],[f17,f90,f76]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_14) ).
fof(f196,plain,
( spl26_12
| spl26_4 ),
inference(avatar_split_clause,[],[f93,f151,f191]) ).
fof(f93,plain,
( sk_c8 = sF14
| sk_c10 = sF22 ),
inference(definition_folding,[],[f16,f90,f74]) ).
fof(f16,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_13) ).
fof(f195,plain,
( spl26_12
| spl26_3 ),
inference(avatar_split_clause,[],[f92,f146,f191]) ).
fof(f92,plain,
( sk_c10 = sF13
| sk_c10 = sF22 ),
inference(definition_folding,[],[f15,f90,f72]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_12) ).
fof(f194,plain,
( spl26_12
| spl26_2 ),
inference(avatar_split_clause,[],[f91,f141,f191]) ).
fof(f91,plain,
( sk_c9 = sF11
| sk_c10 = sF22 ),
inference(definition_folding,[],[f14,f90,f69]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_11) ).
fof(f189,plain,
( spl26_1
| spl26_11 ),
inference(avatar_split_clause,[],[f89,f186,f137]) ).
fof(f89,plain,
( sk_c5 = sF21
| sk_c9 = sF12 ),
inference(definition_folding,[],[f13,f70,f88]) ).
fof(f13,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_10) ).
fof(f184,plain,
( spl26_1
| spl26_10 ),
inference(avatar_split_clause,[],[f87,f181,f137]) ).
fof(f87,plain,
( sk_c7 = sF20
| sk_c9 = sF12 ),
inference(definition_folding,[],[f12,f70,f86]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_9) ).
fof(f174,plain,
( spl26_1
| spl26_8 ),
inference(avatar_split_clause,[],[f83,f171,f137]) ).
fof(f83,plain,
( sk_c10 = sF18
| sk_c9 = sF12 ),
inference(definition_folding,[],[f10,f70,f82]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_7) ).
fof(f169,plain,
( spl26_1
| spl26_7 ),
inference(avatar_split_clause,[],[f81,f166,f137]) ).
fof(f81,plain,
( sk_c7 = sF17
| sk_c9 = sF12 ),
inference(definition_folding,[],[f9,f70,f80]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_6) ).
fof(f164,plain,
( spl26_1
| spl26_6 ),
inference(avatar_split_clause,[],[f79,f161,f137]) ).
fof(f79,plain,
( sk_c10 = sF16
| sk_c9 = sF12 ),
inference(definition_folding,[],[f8,f70,f78]) ).
fof(f8,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_5) ).
fof(f159,plain,
( spl26_1
| spl26_5 ),
inference(avatar_split_clause,[],[f77,f156,f137]) ).
fof(f77,plain,
( sk_c9 = sF15
| sk_c9 = sF12 ),
inference(definition_folding,[],[f7,f70,f76]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c3)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_4) ).
fof(f154,plain,
( spl26_1
| spl26_4 ),
inference(avatar_split_clause,[],[f75,f151,f137]) ).
fof(f75,plain,
( sk_c8 = sF14
| sk_c9 = sF12 ),
inference(definition_folding,[],[f6,f70,f74]) ).
fof(f6,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_3) ).
fof(f149,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f73,f146,f137]) ).
fof(f73,plain,
( sk_c10 = sF13
| sk_c9 = sF12 ),
inference(definition_folding,[],[f5,f70,f72]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_2) ).
fof(f144,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f71,f141,f137]) ).
fof(f71,plain,
( sk_c9 = sF11
| sk_c9 = sF12 ),
inference(definition_folding,[],[f4,f70,f69]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP386-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 18:46:00 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.amWTG0qy70/Vampire---4.8_30400
% 0.55/0.73 % (30514)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 Vampire---4 for (2996ds/83Mi)
% 0.55/0.73 % (30508)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.73 % (30510)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (30511)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74 % (30513)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74 % (30512)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 Vampire---4 for (2996ds/34Mi)
% 0.55/0.74 % (30509)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 Vampire---4 for (2996ds/51Mi)
% 0.55/0.74 % (30514)Refutation not found, incomplete strategy% (30514)------------------------------
% 0.55/0.74 % (30514)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (30514)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (30514)Memory used [KB]: 1104
% 0.55/0.74 % (30514)Time elapsed: 0.004 s
% 0.55/0.74 % (30514)Instructions burned: 8 (million)
% 0.55/0.74 % (30514)------------------------------
% 0.55/0.74 % (30514)------------------------------
% 0.55/0.74 % (30508)Refutation not found, incomplete strategy% (30508)------------------------------
% 0.55/0.74 % (30508)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (30508)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (30511)Refutation not found, incomplete strategy% (30511)------------------------------
% 0.55/0.74 % (30511)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (30508)Memory used [KB]: 1077
% 0.55/0.74 % (30508)Time elapsed: 0.004 s
% 0.55/0.74 % (30508)Instructions burned: 5 (million)
% 0.55/0.74 % (30508)------------------------------
% 0.55/0.74 % (30508)------------------------------
% 0.55/0.74 % (30511)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (30511)Memory used [KB]: 994
% 0.55/0.74 % (30511)Time elapsed: 0.004 s
% 0.55/0.74 % (30511)Instructions burned: 5 (million)
% 0.55/0.74 % (30511)------------------------------
% 0.55/0.74 % (30511)------------------------------
% 0.55/0.74 % (30512)Refutation not found, incomplete strategy% (30512)------------------------------
% 0.55/0.74 % (30512)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (30512)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (30512)Memory used [KB]: 1095
% 0.55/0.74 % (30512)Time elapsed: 0.004 s
% 0.55/0.74 % (30512)Instructions burned: 6 (million)
% 0.55/0.74 % (30512)------------------------------
% 0.55/0.74 % (30512)------------------------------
% 0.55/0.74 % (30510)Refutation not found, incomplete strategy% (30510)------------------------------
% 0.55/0.74 % (30510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (30510)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (30510)Memory used [KB]: 1086
% 0.55/0.74 % (30510)Time elapsed: 0.005 s
% 0.55/0.74 % (30510)Instructions burned: 7 (million)
% 0.55/0.74 % (30510)------------------------------
% 0.55/0.74 % (30510)------------------------------
% 0.55/0.74 % (30515)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.74 % (30515)Refutation not found, incomplete strategy% (30515)------------------------------
% 0.55/0.74 % (30515)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (30515)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (30515)Memory used [KB]: 1078
% 0.55/0.74 % (30515)Time elapsed: 0.002 s
% 0.55/0.74 % (30515)Instructions burned: 5 (million)
% 0.55/0.74 % (30515)------------------------------
% 0.55/0.74 % (30515)------------------------------
% 0.55/0.74 % (30518)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.74 % (30516)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 Vampire---4 for (2996ds/55Mi)
% 0.55/0.74 % (30517)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 Vampire---4 for (2996ds/50Mi)
% 0.55/0.74 % (30519)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 Vampire---4 for (2996ds/52Mi)
% 0.55/0.74 % (30520)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 Vampire---4 for (2996ds/518Mi)
% 0.55/0.74 % (30521)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 Vampire---4 for (2996ds/42Mi)
% 0.55/0.75 % (30517)Refutation not found, incomplete strategy% (30517)------------------------------
% 0.55/0.75 % (30517)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (30517)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (30517)Memory used [KB]: 1074
% 0.55/0.75 % (30517)Time elapsed: 0.005 s
% 0.55/0.75 % (30517)Instructions burned: 8 (million)
% 0.55/0.75 % (30517)------------------------------
% 0.55/0.75 % (30517)------------------------------
% 0.55/0.75 % (30516)Refutation not found, incomplete strategy% (30516)------------------------------
% 0.55/0.75 % (30516)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (30516)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (30516)Memory used [KB]: 1088
% 0.55/0.75 % (30516)Time elapsed: 0.006 s
% 0.55/0.75 % (30516)Instructions burned: 7 (million)
% 0.55/0.75 % (30516)------------------------------
% 0.55/0.75 % (30516)------------------------------
% 0.55/0.75 % (30519)Refutation not found, incomplete strategy% (30519)------------------------------
% 0.55/0.75 % (30519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (30519)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (30519)Memory used [KB]: 1070
% 0.55/0.75 % (30519)Time elapsed: 0.005 s
% 0.55/0.75 % (30519)Instructions burned: 7 (million)
% 0.55/0.75 % (30519)------------------------------
% 0.55/0.75 % (30519)------------------------------
% 0.55/0.75 % (30521)Refutation not found, incomplete strategy% (30521)------------------------------
% 0.55/0.75 % (30521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (30521)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (30521)Memory used [KB]: 1103
% 0.55/0.75 % (30521)Time elapsed: 0.004 s
% 0.55/0.75 % (30521)Instructions burned: 5 (million)
% 0.55/0.75 % (30521)------------------------------
% 0.55/0.75 % (30521)------------------------------
% 0.55/0.75 % (30522)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 Vampire---4 for (2996ds/243Mi)
% 0.55/0.75 % (30523)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.55/0.75 % (30524)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 Vampire---4 for (2996ds/143Mi)
% 0.55/0.75 % (30525)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 Vampire---4 for (2996ds/93Mi)
% 0.55/0.75 % (30523)Refutation not found, incomplete strategy% (30523)------------------------------
% 0.55/0.75 % (30523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (30523)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (30523)Memory used [KB]: 1016
% 0.55/0.75 % (30523)Time elapsed: 0.004 s
% 0.55/0.75 % (30523)Instructions burned: 5 (million)
% 0.55/0.75 % (30523)------------------------------
% 0.55/0.75 % (30523)------------------------------
% 0.55/0.75 % (30524)Refutation not found, incomplete strategy% (30524)------------------------------
% 0.55/0.75 % (30524)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (30524)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (30524)Memory used [KB]: 1080
% 0.55/0.75 % (30524)Time elapsed: 0.005 s
% 0.55/0.75 % (30524)Instructions burned: 5 (million)
% 0.55/0.75 % (30524)------------------------------
% 0.55/0.75 % (30524)------------------------------
% 0.55/0.76 % (30513)Instruction limit reached!
% 0.55/0.76 % (30513)------------------------------
% 0.55/0.76 % (30513)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (30513)Termination reason: Unknown
% 0.55/0.76 % (30513)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (30513)Memory used [KB]: 1521
% 0.55/0.76 % (30513)Time elapsed: 0.023 s
% 0.55/0.76 % (30513)Instructions burned: 46 (million)
% 0.55/0.76 % (30513)------------------------------
% 0.55/0.76 % (30513)------------------------------
% 0.55/0.76 % (30526)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 Vampire---4 for (2996ds/62Mi)
% 0.55/0.76 % (30526)Refutation not found, incomplete strategy% (30526)------------------------------
% 0.55/0.76 % (30526)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (30526)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (30526)Memory used [KB]: 1014
% 0.55/0.76 % (30526)Time elapsed: 0.004 s
% 0.55/0.76 % (30526)Instructions burned: 4 (million)
% 0.55/0.76 % (30526)------------------------------
% 0.55/0.76 % (30526)------------------------------
% 0.55/0.76 % (30527)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 Vampire---4 for (2996ds/32Mi)
% 0.55/0.76 % (30528)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 Vampire---4 for (2996ds/1919Mi)
% 0.55/0.76 % (30509)Instruction limit reached!
% 0.55/0.76 % (30509)------------------------------
% 0.55/0.76 % (30509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (30509)Termination reason: Unknown
% 0.55/0.76 % (30509)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (30509)Memory used [KB]: 1754
% 0.55/0.76 % (30509)Time elapsed: 0.029 s
% 0.55/0.76 % (30509)Instructions burned: 52 (million)
% 0.55/0.76 % (30509)------------------------------
% 0.55/0.76 % (30509)------------------------------
% 0.55/0.76 % (30529)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 Vampire---4 for (2996ds/55Mi)
% 0.55/0.76 % (30527)Refutation not found, incomplete strategy% (30527)------------------------------
% 0.55/0.76 % (30527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (30527)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (30527)Memory used [KB]: 1076
% 0.55/0.76 % (30527)Time elapsed: 0.005 s
% 0.55/0.76 % (30527)Instructions burned: 7 (million)
% 0.55/0.76 % (30527)------------------------------
% 0.55/0.76 % (30527)------------------------------
% 0.70/0.76 % (30522)Refutation not found, incomplete strategy% (30522)------------------------------
% 0.70/0.76 % (30522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.76 % (30522)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.76
% 0.70/0.76 % (30522)Memory used [KB]: 1191
% 0.70/0.76 % (30522)Time elapsed: 0.016 s
% 0.70/0.76 % (30522)Instructions burned: 27 (million)
% 0.70/0.76 % (30522)------------------------------
% 0.70/0.76 % (30522)------------------------------
% 0.70/0.76 % (30528)Refutation not found, incomplete strategy% (30528)------------------------------
% 0.70/0.76 % (30528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.76 % (30528)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.76
% 0.70/0.77 % (30528)Memory used [KB]: 1087
% 0.70/0.77 % (30528)Time elapsed: 0.006 s
% 0.70/0.77 % (30528)Instructions burned: 8 (million)
% 0.70/0.77 % (30528)------------------------------
% 0.70/0.77 % (30528)------------------------------
% 0.70/0.77 % (30530)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 Vampire---4 for (2996ds/53Mi)
% 0.70/0.77 % (30529)Refutation not found, incomplete strategy% (30529)------------------------------
% 0.70/0.77 % (30529)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.77 % (30529)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.77
% 0.70/0.77 % (30529)Memory used [KB]: 1100
% 0.70/0.77 % (30529)Time elapsed: 0.004 s
% 0.70/0.77 % (30529)Instructions burned: 6 (million)
% 0.70/0.77 % (30529)------------------------------
% 0.70/0.77 % (30529)------------------------------
% 0.70/0.77 % (30531)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 Vampire---4 for (2996ds/46Mi)
% 0.70/0.77 % (30532)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 Vampire---4 for (2996ds/102Mi)
% 0.70/0.77 % (30533)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 Vampire---4 for (2996ds/35Mi)
% 0.70/0.77 % (30531)Refutation not found, incomplete strategy% (30531)------------------------------
% 0.70/0.77 % (30531)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.77 % (30531)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.77
% 0.70/0.77 % (30531)Memory used [KB]: 1084
% 0.70/0.77 % (30531)Time elapsed: 0.004 s
% 0.70/0.77 % (30531)Instructions burned: 4 (million)
% 0.70/0.77 % (30531)------------------------------
% 0.70/0.77 % (30531)------------------------------
% 0.70/0.77 % (30534)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.70/0.77 % (30532)Refutation not found, incomplete strategy% (30532)------------------------------
% 0.70/0.77 % (30532)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.77 % (30532)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.77
% 0.70/0.77 % (30532)Memory used [KB]: 1104
% 0.70/0.77 % (30532)Time elapsed: 0.007 s
% 0.70/0.77 % (30532)Instructions burned: 8 (million)
% 0.70/0.77 % (30532)------------------------------
% 0.70/0.77 % (30532)------------------------------
% 0.70/0.78 % (30535)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 Vampire---4 for (2995ds/109Mi)
% 0.70/0.78 % (30536)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 Vampire---4 for (2995ds/161Mi)
% 0.70/0.78 % (30536)Refutation not found, incomplete strategy% (30536)------------------------------
% 0.70/0.78 % (30536)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.78 % (30536)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.78
% 0.70/0.78 % (30536)Memory used [KB]: 991
% 0.70/0.78 % (30536)Time elapsed: 0.004 s
% 0.70/0.78 % (30536)Instructions burned: 5 (million)
% 0.70/0.78 % (30536)------------------------------
% 0.70/0.78 % (30536)------------------------------
% 0.70/0.79 % (30533)Instruction limit reached!
% 0.70/0.79 % (30533)------------------------------
% 0.70/0.79 % (30533)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.79 % (30533)Termination reason: Unknown
% 0.70/0.79 % (30533)Termination phase: Saturation
% 0.70/0.79
% 0.70/0.79 % (30533)Memory used [KB]: 1176
% 0.70/0.79 % (30533)Time elapsed: 0.019 s
% 0.70/0.79 % (30533)Instructions burned: 36 (million)
% 0.70/0.79 % (30533)------------------------------
% 0.70/0.79 % (30533)------------------------------
% 0.70/0.79 % (30537)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 Vampire---4 for (2995ds/69Mi)
% 0.70/0.79 % (30537)Refutation not found, incomplete strategy% (30537)------------------------------
% 0.70/0.79 % (30537)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.79 % (30537)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.79
% 0.70/0.79 % (30537)Memory used [KB]: 1099
% 0.70/0.79 % (30537)Time elapsed: 0.025 s
% 0.70/0.79 % (30537)Instructions burned: 5 (million)
% 0.70/0.79 % (30537)------------------------------
% 0.70/0.79 % (30537)------------------------------
% 0.70/0.79 % (30538)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 Vampire---4 for (2995ds/40Mi)
% 0.70/0.79 % (30530)Instruction limit reached!
% 0.70/0.79 % (30530)------------------------------
% 0.70/0.79 % (30530)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.79 % (30530)Termination reason: Unknown
% 0.70/0.79 % (30530)Termination phase: Saturation
% 0.70/0.79
% 0.70/0.79 % (30530)Memory used [KB]: 1195
% 0.70/0.79 % (30530)Time elapsed: 0.027 s
% 0.70/0.79 % (30530)Instructions burned: 54 (million)
% 0.70/0.79 % (30530)------------------------------
% 0.70/0.79 % (30530)------------------------------
% 0.70/0.80 % (30539)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 Vampire---4 for (2995ds/360Mi)
% 0.70/0.80 % (30525)Instruction limit reached!
% 0.70/0.80 % (30525)------------------------------
% 0.70/0.80 % (30525)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.80 % (30525)Termination reason: Unknown
% 0.70/0.80 % (30525)Termination phase: Saturation
% 0.70/0.80
% 0.70/0.80 % (30525)Memory used [KB]: 2160
% 0.70/0.80 % (30525)Time elapsed: 0.048 s
% 0.70/0.80 % (30525)Instructions burned: 93 (million)
% 0.70/0.80 % (30525)------------------------------
% 0.70/0.80 % (30525)------------------------------
% 0.70/0.80 % (30540)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 Vampire---4 for (2995ds/161Mi)
% 0.70/0.80 % (30541)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.70/0.81 % (30534)Instruction limit reached!
% 0.70/0.81 % (30534)------------------------------
% 0.70/0.81 % (30534)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.81 % (30534)Termination reason: Unknown
% 0.70/0.81 % (30534)Termination phase: Saturation
% 0.70/0.81
% 0.70/0.81 % (30534)Memory used [KB]: 1390
% 0.70/0.81 % (30534)Time elapsed: 0.040 s
% 0.70/0.81 % (30534)Instructions burned: 87 (million)
% 0.70/0.81 % (30534)------------------------------
% 0.70/0.81 % (30534)------------------------------
% 0.70/0.81 % (30538)Instruction limit reached!
% 0.70/0.81 % (30538)------------------------------
% 0.70/0.81 % (30538)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.81 % (30538)Termination reason: Unknown
% 0.70/0.81 % (30538)Termination phase: Saturation
% 0.70/0.81
% 0.70/0.81 % (30538)Memory used [KB]: 1546
% 0.70/0.81 % (30538)Time elapsed: 0.022 s
% 0.70/0.81 % (30538)Instructions burned: 40 (million)
% 0.70/0.81 % (30538)------------------------------
% 0.70/0.81 % (30538)------------------------------
% 0.70/0.81 % (30542)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 Vampire---4 for (2995ds/37Mi)
% 0.70/0.82 % (30543)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 Vampire---4 for (2995ds/55Mi)
% 0.70/0.82 % (30518)Instruction limit reached!
% 0.70/0.82 % (30518)------------------------------
% 0.70/0.82 % (30518)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.82 % (30518)Termination reason: Unknown
% 0.70/0.82 % (30518)Termination phase: Saturation
% 0.70/0.82
% 0.70/0.82 % (30518)Memory used [KB]: 2530
% 0.70/0.82 % (30518)Time elapsed: 0.078 s
% 0.70/0.82 % (30518)Instructions burned: 211 (million)
% 0.70/0.82 % (30518)------------------------------
% 0.70/0.82 % (30518)------------------------------
% 0.70/0.82 % (30544)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 Vampire---4 for (2995ds/47Mi)
% 0.70/0.82 % (30543)Refutation not found, incomplete strategy% (30543)------------------------------
% 0.70/0.82 % (30543)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.82 % (30543)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.82
% 0.70/0.82 % (30543)Memory used [KB]: 1140
% 0.70/0.82 % (30543)Time elapsed: 0.032 s
% 0.70/0.82 % (30543)Instructions burned: 16 (million)
% 0.70/0.83 % (30543)------------------------------
% 0.70/0.83 % (30543)------------------------------
% 0.70/0.83 % (30545)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.70/0.83 % (30545)Refutation not found, incomplete strategy% (30545)------------------------------
% 0.70/0.83 % (30545)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.83 % (30545)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.83
% 0.70/0.83 % (30545)Memory used [KB]: 1078
% 0.70/0.83 % (30545)Time elapsed: 0.027 s
% 0.70/0.83 % (30545)Instructions burned: 5 (million)
% 0.70/0.83 % (30545)------------------------------
% 0.70/0.83 % (30545)------------------------------
% 0.70/0.83 % (30542)Instruction limit reached!
% 0.70/0.83 % (30542)------------------------------
% 0.70/0.83 % (30542)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.83 % (30542)Termination reason: Unknown
% 0.70/0.83 % (30542)Termination phase: Saturation
% 0.70/0.83
% 0.70/0.83 % (30542)Memory used [KB]: 1634
% 0.70/0.83 % (30542)Time elapsed: 0.043 s
% 0.70/0.83 % (30542)Instructions burned: 37 (million)
% 0.70/0.83 % (30542)------------------------------
% 0.70/0.83 % (30542)------------------------------
% 0.70/0.83 % (30544)Instruction limit reached!
% 0.70/0.83 % (30544)------------------------------
% 0.70/0.83 % (30544)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.83 % (30544)Termination reason: Unknown
% 0.70/0.83 % (30544)Termination phase: Saturation
% 0.70/0.83
% 0.70/0.83 % (30544)Memory used [KB]: 1594
% 0.70/0.83 % (30544)Time elapsed: 0.036 s
% 0.70/0.83 % (30544)Instructions burned: 49 (million)
% 0.70/0.83 % (30544)------------------------------
% 0.70/0.83 % (30544)------------------------------
% 0.70/0.84 % (30548)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2995ds/82Mi)
% 0.70/0.84 % (30546)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 Vampire---4 for (2995ds/132Mi)
% 0.70/0.84 % (30535)Instruction limit reached!
% 0.70/0.84 % (30535)------------------------------
% 0.70/0.84 % (30535)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.84 % (30535)Termination reason: Unknown
% 0.70/0.84 % (30535)Termination phase: Saturation
% 0.70/0.84
% 0.70/0.84 % (30535)Memory used [KB]: 2343
% 0.70/0.84 % (30535)Time elapsed: 0.063 s
% 0.70/0.84 % (30535)Instructions burned: 110 (million)
% 0.70/0.84 % (30535)------------------------------
% 0.70/0.84 % (30535)------------------------------
% 0.70/0.84 % (30547)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 Vampire---4 for (2995ds/54Mi)
% 0.70/0.84 % (30546)Refutation not found, incomplete strategy% (30546)------------------------------
% 0.70/0.84 % (30546)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.84 % (30546)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.84
% 0.70/0.84 % (30546)Memory used [KB]: 972
% 0.70/0.84 % (30546)Time elapsed: 0.005 s
% 0.70/0.84 % (30546)Instructions burned: 6 (million)
% 0.70/0.84 % (30546)------------------------------
% 0.70/0.84 % (30546)------------------------------
% 0.70/0.84 % (30549)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2995ds/119Mi)
% 0.70/0.84 % (30547)Refutation not found, incomplete strategy% (30547)------------------------------
% 0.70/0.84 % (30547)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.84 % (30547)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.84
% 0.70/0.84 % (30547)Memory used [KB]: 1076
% 0.70/0.84 % (30547)Time elapsed: 0.008 s
% 0.70/0.84 % (30547)Instructions burned: 19 (million)
% 0.70/0.84 % (30547)------------------------------
% 0.70/0.84 % (30547)------------------------------
% 0.70/0.85 % (30541)Instruction limit reached!
% 0.70/0.85 % (30541)------------------------------
% 0.70/0.85 % (30541)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (30541)Termination reason: Unknown
% 0.70/0.85 % (30541)Termination phase: Saturation
% 0.70/0.85
% 0.70/0.85 % (30541)Memory used [KB]: 1338
% 0.70/0.85 % (30541)Time elapsed: 0.067 s
% 0.70/0.85 % (30541)Instructions burned: 82 (million)
% 0.70/0.85 % (30541)------------------------------
% 0.70/0.85 % (30541)------------------------------
% 0.70/0.85 % (30551)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on Vampire---4 for (2995ds/117Mi)
% 0.70/0.85 % (30552)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on Vampire---4 for (2995ds/49Mi)
% 0.70/0.86 % (30539)First to succeed.
% 1.23/0.86 % (30548)Instruction limit reached!
% 1.23/0.86 % (30548)------------------------------
% 1.23/0.86 % (30548)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.86 % (30548)Termination reason: Unknown
% 1.23/0.86 % (30548)Termination phase: Saturation
% 1.23/0.86
% 1.23/0.86 % (30548)Memory used [KB]: 1379
% 1.23/0.86 % (30548)Time elapsed: 0.022 s
% 1.23/0.86 % (30548)Instructions burned: 83 (million)
% 1.23/0.86 % (30548)------------------------------
% 1.23/0.86 % (30548)------------------------------
% 1.23/0.86 % (30553)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on Vampire---4 for (2994ds/51Mi)
% 1.23/0.86 % (30550)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2995ds/177Mi)
% 1.23/0.87 % (30552)Instruction limit reached!
% 1.23/0.87 % (30552)------------------------------
% 1.23/0.87 % (30552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.87 % (30552)Termination reason: Unknown
% 1.23/0.87 % (30552)Termination phase: Saturation
% 1.23/0.87
% 1.23/0.87 % (30552)Memory used [KB]: 1590
% 1.23/0.87 % (30552)Time elapsed: 0.020 s
% 1.23/0.87 % (30552)Instructions burned: 51 (million)
% 1.23/0.87 % (30552)------------------------------
% 1.23/0.87 % (30552)------------------------------
% 1.23/0.87 % (30554)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on Vampire---4 for (2994ds/149Mi)
% 1.23/0.87 % (30520)Instruction limit reached!
% 1.23/0.87 % (30520)------------------------------
% 1.23/0.87 % (30520)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.87 % (30520)Termination reason: Unknown
% 1.23/0.87 % (30520)Termination phase: Saturation
% 1.23/0.87
% 1.23/0.87 % (30520)Memory used [KB]: 6129
% 1.23/0.87 % (30520)Time elapsed: 0.130 s
% 1.23/0.87 % (30520)Instructions burned: 520 (million)
% 1.23/0.87 % (30520)------------------------------
% 1.23/0.87 % (30520)------------------------------
% 1.23/0.87 % (30554)Refutation not found, incomplete strategy% (30554)------------------------------
% 1.23/0.87 % (30554)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.87 % (30554)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.87
% 1.23/0.87 % (30554)Memory used [KB]: 984
% 1.23/0.87 % (30554)Time elapsed: 0.002 s
% 1.23/0.87 % (30554)Instructions burned: 5 (million)
% 1.23/0.87 % (30554)------------------------------
% 1.23/0.87 % (30554)------------------------------
% 1.23/0.87 % (30539)Refutation found. Thanks to Tanya!
% 1.23/0.87 % SZS status Unsatisfiable for Vampire---4
% 1.23/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 1.23/0.88 % (30539)------------------------------
% 1.23/0.88 % (30539)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.23/0.88 % (30539)Termination reason: Refutation
% 1.23/0.88
% 1.23/0.88 % (30539)Memory used [KB]: 1978
% 1.23/0.88 % (30539)Time elapsed: 0.067 s
% 1.23/0.88 % (30539)Instructions burned: 131 (million)
% 1.23/0.88 % (30539)------------------------------
% 1.23/0.88 % (30539)------------------------------
% 1.23/0.88 % (30507)Success in time 0.517 s
% 1.23/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------