TSTP Solution File: GRP282-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP282-1 : 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 : n011.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 : Sun May 5 05:47:12 EDT 2024
% Result : Unsatisfiable 0.72s 0.85s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 90
% Syntax : Number of formulae : 529 ( 38 unt; 0 def)
% Number of atoms : 2374 ( 439 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 3510 (1665 ~;1823 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 23 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 129 ( 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2267,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f145,f150,f155,f160,f165,f170,f180,f181,f182,f183,f184,f185,f186,f187,f192,f193,f194,f195,f196,f197,f198,f199,f206,f207,f208,f209,f210,f211,f218,f219,f220,f228,f229,f230,f231,f232,f235,f264,f516,f532,f538,f541,f544,f554,f723,f800,f970,f1072,f1312,f1366,f1377,f1508,f1514,f1534,f1650,f1864,f1878,f2147,f2168,f2206,f2264,f2266]) ).
fof(f2266,plain,
( ~ spl26_1
| ~ spl26_5
| spl26_6
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f2265]) ).
fof(f2265,plain,
( $false
| ~ spl26_1
| ~ spl26_5
| spl26_6
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(subsumption_resolution,[],[f2245,f158]) ).
fof(f158,plain,
( sk_c9 != sF17
| spl26_6 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl26_6
<=> sk_c9 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f2245,plain,
( sk_c9 = sF17
| ~ spl26_1
| ~ spl26_5
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2212,f2234]) ).
fof(f2234,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2222,f2226]) ).
fof(f2226,plain,
( sk_c9 = sk_c3
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f2224,f2221]) ).
fof(f2221,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2,f2218]) ).
fof(f2218,plain,
( identity = sk_c3
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f2216,f2]) ).
fof(f2216,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c9)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(superposition,[],[f292,f2195]) ).
fof(f2195,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1980,f2188]) ).
fof(f2188,plain,
( sk_c9 = sk_c8
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f2187,f1980]) ).
fof(f2187,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f2185,f1948]) ).
fof(f1948,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f121,f227]) ).
fof(f227,plain,
( sk_c9 = sF25
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl26_14
<=> sk_c9 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).
fof(f121,plain,
inverse(sk_c2) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f2185,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl26_13 ),
inference(superposition,[],[f292,f1979]) ).
fof(f1979,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl26_13 ),
inference(forward_demodulation,[],[f112,f215]) ).
fof(f215,plain,
( sk_c3 = sF24
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl26_13
<=> sk_c3 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f112,plain,
multiply(sk_c2,sk_c9) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1980,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl26_12 ),
inference(forward_demodulation,[],[f103,f203]) ).
fof(f203,plain,
( sk_c8 = sF23
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl26_12
<=> sk_c8 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f103,plain,
multiply(sk_c9,sk_c3) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f292,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f280,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',left_identity) ).
fof(f280,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',associativity) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',left_inverse) ).
fof(f2224,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(superposition,[],[f292,f2197]) ).
fof(f2197,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2031,f2188]) ).
fof(f2031,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f1984,f2006]) ).
fof(f2006,plain,
( sk_c9 = sk_c7
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f2005,f1984]) ).
fof(f2005,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f2003,f1961]) ).
fof(f1961,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f94,f191]) ).
fof(f191,plain,
( sk_c9 = sF22
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl26_11
<=> sk_c9 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f94,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f2003,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl26_10 ),
inference(superposition,[],[f292,f1975]) ).
fof(f1975,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl26_10 ),
inference(forward_demodulation,[],[f85,f179]) ).
fof(f179,plain,
( sk_c8 = sF21
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl26_10
<=> sk_c8 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f85,plain,
multiply(sk_c1,sk_c9) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1984,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl26_1 ),
inference(backward_demodulation,[],[f69,f135]) ).
fof(f135,plain,
( sk_c7 = sF13
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl26_1
<=> sk_c7 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f69,plain,
multiply(sk_c9,sk_c8) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f2222,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1,f2218]) ).
fof(f2212,plain,
( sk_c9 = multiply(sk_c9,sF17)
| ~ spl26_1
| ~ spl26_5
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f2210,f1549]) ).
fof(f1549,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f75,f154]) ).
fof(f154,plain,
( sk_c9 = sF16
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl26_5
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f75,plain,
inverse(sk_c4) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f2210,plain,
( sk_c9 = multiply(inverse(sk_c4),sF17)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(superposition,[],[f292,f2162]) ).
fof(f2162,plain,
( sF17 = multiply(sk_c4,sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f77,f2006]) ).
fof(f77,plain,
multiply(sk_c4,sk_c7) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f2264,plain,
( ~ spl26_1
| spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2263,plain,
( $false
| ~ spl26_1
| spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(subsumption_resolution,[],[f2262,f2178]) ).
fof(f2178,plain,
( sk_c9 != sF15
| ~ spl26_1
| spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f148,f2006]) ).
fof(f148,plain,
( sk_c7 != sF15
| spl26_4 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl26_4
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f2262,plain,
( sk_c9 = sF15
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f2261,f73]) ).
fof(f73,plain,
inverse(sk_c9) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f2261,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1948,f2244]) ).
fof(f2244,plain,
( sk_c9 = sk_c2
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2231,f2234]) ).
fof(f2231,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2219,f2226]) ).
fof(f2219,plain,
( sk_c3 = multiply(sk_c9,sk_c2)
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1990,f2218]) ).
fof(f1990,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl26_14 ),
inference(forward_demodulation,[],[f277,f227]) ).
fof(f277,plain,
identity = multiply(sF25,sk_c2),
inference(superposition,[],[f2,f121]) ).
fof(f2206,plain,
( spl26_3
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(avatar_split_clause,[],[f2204,f225,f213,f201,f189,f177,f133,f142]) ).
fof(f142,plain,
( spl26_3
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f2204,plain,
( sk_c9 = sF14
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2138,f2200]) ).
fof(f2200,plain,
( sk_c9 = sF12
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f2199,f2197]) ).
fof(f2199,plain,
( sF12 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2139,f2188]) ).
fof(f2139,plain,
( multiply(sk_c8,sk_c9) = sF12
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f2134,f2138]) ).
fof(f2134,plain,
( multiply(sk_c8,sk_c9) = sF14
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f71,f2006]) ).
fof(f71,plain,
multiply(sk_c8,sk_c7) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f2138,plain,
( sF12 = sF14
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f68,f2134]) ).
fof(f68,plain,
multiply(sk_c8,sk_c9) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f2168,plain,
( ~ spl26_1
| spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(avatar_contradiction_clause,[],[f2167]) ).
fof(f2167,plain,
( $false
| ~ spl26_1
| spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(subsumption_resolution,[],[f2140,f2145]) ).
fof(f2145,plain,
( sk_c9 = sF12
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f2139,f2142]) ).
fof(f2142,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f2036,f2021]) ).
fof(f2021,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f294,f2006]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c9,X0)) = X0
| ~ spl26_4 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f273]) ).
fof(f273,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl26_4 ),
inference(superposition,[],[f2,f270]) ).
fof(f270,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl26_4 ),
inference(backward_demodulation,[],[f73,f149]) ).
fof(f149,plain,
( sk_c7 = sF15
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f2036,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f1989,f2006]) ).
fof(f1989,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl26_1
| ~ spl26_4 ),
inference(forward_demodulation,[],[f317,f135]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sF13,X0))
| ~ spl26_4 ),
inference(superposition,[],[f3,f299]) ).
fof(f299,plain,
( sk_c8 = multiply(sk_c7,sF13)
| ~ spl26_4 ),
inference(superposition,[],[f294,f69]) ).
fof(f2140,plain,
( sk_c9 != sF12
| ~ spl26_1
| spl26_3
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f143,f2138]) ).
fof(f143,plain,
( sk_c9 != sF14
| spl26_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f2147,plain,
( ~ spl26_1
| spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
fof(f2146,plain,
( $false
| ~ spl26_1
| spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(subsumption_resolution,[],[f2145,f2012]) ).
fof(f2012,plain,
( sk_c9 != sF12
| ~ spl26_1
| spl26_2
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f138,f2006]) ).
fof(f138,plain,
( sk_c7 != sF12
| spl26_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl26_2
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f1878,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f1877]) ).
fof(f1877,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1876,f55]) ).
fof(f55,plain,
~ sP2(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1876,plain,
( sP2(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1875,f56]) ).
fof(f56,plain,
~ sP3(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1875,plain,
( sP3(sk_c9)
| sP2(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(superposition,[],[f1857,f1712]) ).
fof(f1712,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f270,f1693]) ).
fof(f1693,plain,
( sk_c9 = sk_c7
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f272,f1688]) ).
fof(f1688,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1686,f305]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f283,f294]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
| ~ spl26_3 ),
inference(superposition,[],[f3,f271]) ).
fof(f271,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl26_3 ),
inference(backward_demodulation,[],[f71,f144]) ).
fof(f144,plain,
( sk_c9 = sF14
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f1686,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1553,f1676]) ).
fof(f1676,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1627,f1668]) ).
fof(f1668,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1,f1667]) ).
fof(f1667,plain,
( identity = sk_c7
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1665,f2]) ).
fof(f1665,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f292,f1625]) ).
fof(f1625,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1623,f1546]) ).
fof(f1546,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f81,f169]) ).
fof(f169,plain,
( sk_c6 = sF19
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl26_8
<=> sk_c6 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).
fof(f81,plain,
inverse(sk_c5) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f1623,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl26_7 ),
inference(superposition,[],[f292,f1547]) ).
fof(f1547,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f79,f164]) ).
fof(f164,plain,
( sk_c7 = sF18
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl26_7
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f79,plain,
multiply(sk_c5,sk_c6) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1627,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f1548]) ).
fof(f1548,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f77,f159]) ).
fof(f159,plain,
( sk_c9 = sF17
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f1553,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(superposition,[],[f292,f1549]) ).
fof(f272,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl26_2 ),
inference(backward_demodulation,[],[f68,f139]) ).
fof(f139,plain,
( sk_c7 = sF12
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f1857,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP2(X6) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(backward_demodulation,[],[f1711,f1856]) ).
fof(f1856,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1848,f459]) ).
fof(f459,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f292,f292]) ).
fof(f1848,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f292,f1783]) ).
fof(f1783,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1669,f1693]) ).
fof(f1669,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f2,f1667]) ).
fof(f1711,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8
| ~ spl26_21 ),
inference(backward_demodulation,[],[f260,f1693]) ).
fof(f260,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c7))
| sP3(inverse(X6)) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl26_21
<=> ! [X6] :
( sP2(multiply(X6,sk_c7))
| sP3(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f1864,plain,
( spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(avatar_contradiction_clause,[],[f1863]) ).
fof(f1863,plain,
( $false
| spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(subsumption_resolution,[],[f1862,f1758]) ).
fof(f1758,plain,
( sk_c9 != sk_c8
| spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1705,f1739]) ).
fof(f1739,plain,
( sk_c8 = sF13
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f69,f1721]) ).
fof(f1721,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1668,f1693]) ).
fof(f1705,plain,
( sk_c9 != sF13
| spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f134,f1693]) ).
fof(f134,plain,
( sk_c7 != sF13
| spl26_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1862,plain,
( sk_c9 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f1860,f1721]) ).
fof(f1860,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(superposition,[],[f1783,f1858]) ).
fof(f1858,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f1713,f1856]) ).
fof(f1713,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_7
| ~ spl26_8 ),
inference(backward_demodulation,[],[f602,f1693]) ).
fof(f602,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl26_2 ),
inference(superposition,[],[f292,f272]) ).
fof(f1650,plain,
( ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1649,plain,
( $false
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1648,f54]) ).
fof(f54,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1648,plain,
( sP1(sk_c7)
| ~ spl26_7
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1647,f1547]) ).
fof(f1647,plain,
( sP1(multiply(sk_c5,sk_c6))
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1646,f53]) ).
fof(f53,plain,
~ sP0(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1646,plain,
( sP0(sk_c7)
| sP1(multiply(sk_c5,sk_c6))
| ~ spl26_8
| ~ spl26_9
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1632,f1101]) ).
fof(f1101,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl26_9 ),
inference(backward_demodulation,[],[f83,f174]) ).
fof(f174,plain,
( sk_c7 = sF20
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl26_9
<=> sk_c7 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).
fof(f83,plain,
multiply(sk_c6,sk_c9) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1632,plain,
( sP0(multiply(sk_c6,sk_c9))
| sP1(multiply(sk_c5,sk_c6))
| ~ spl26_8
| ~ spl26_22 ),
inference(superposition,[],[f263,f1546]) ).
fof(f263,plain,
( ! [X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl26_22
<=> ! [X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f1534,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1533,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1532,f1444]) ).
fof(f1444,plain,
( ~ sP1(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f54,f1442]) ).
fof(f1442,plain,
( sk_c9 = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1413,f1432]) ).
fof(f1432,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f294,f1426]) ).
fof(f1426,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1,f1425]) ).
fof(f1425,plain,
( identity = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1416,f1098]) ).
fof(f1098,plain,
( identity = multiply(sk_c7,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1094,f1097]) ).
fof(f1097,plain,
( identity = multiply(sk_c9,sk_c7)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(forward_demodulation,[],[f273,f1094]) ).
fof(f1094,plain,
( multiply(sk_c7,sk_c9) = multiply(sk_c9,sk_c7)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f579,f1087]) ).
fof(f1087,plain,
( sk_c9 = sk_c3
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(forward_demodulation,[],[f271,f580]) ).
fof(f580,plain,
( multiply(sk_c8,sk_c7) = sk_c3
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f567,f135]) ).
fof(f567,plain,
( sk_c3 = multiply(sk_c8,sF13)
| ~ spl26_2
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f309,f563]) ).
fof(f563,plain,
( sk_c3 = multiply(sk_c7,sk_c8)
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f300,f203]) ).
fof(f300,plain,
( sk_c3 = multiply(sk_c7,sF23)
| ~ spl26_4 ),
inference(superposition,[],[f294,f103]) ).
fof(f309,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c8,sF13)
| ~ spl26_2 ),
inference(superposition,[],[f284,f69]) ).
fof(f284,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl26_2 ),
inference(superposition,[],[f3,f272]) ).
fof(f579,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c9,sk_c7)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f566,f135]) ).
fof(f566,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c9,sF13)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(forward_demodulation,[],[f562,f316]) ).
fof(f316,plain,
( multiply(sk_c9,sF13) = multiply(sk_c8,sk_c8)
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f283,f299]) ).
fof(f562,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c8,sk_c8)
| ~ spl26_2
| ~ spl26_12 ),
inference(backward_demodulation,[],[f310,f203]) ).
fof(f310,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c8,sF23)
| ~ spl26_2 ),
inference(superposition,[],[f284,f103]) ).
fof(f1416,plain,
( sk_c9 = multiply(sk_c7,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1091,f1403]) ).
fof(f1403,plain,
( sk_c9 = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1402,f1093]) ).
fof(f1093,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f565,f1087]) ).
fof(f565,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl26_12 ),
inference(backward_demodulation,[],[f103,f203]) ).
fof(f1402,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1400,f559]) ).
fof(f559,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl26_14 ),
inference(backward_demodulation,[],[f121,f227]) ).
fof(f1400,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13 ),
inference(superposition,[],[f292,f1379]) ).
fof(f1379,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f112,f1378]) ).
fof(f1378,plain,
( sk_c9 = sF24
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f215,f1087]) ).
fof(f1091,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12 ),
inference(backward_demodulation,[],[f563,f1087]) ).
fof(f1413,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f576,f1403]) ).
fof(f576,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl26_1
| ~ spl26_4 ),
inference(backward_demodulation,[],[f299,f135]) ).
fof(f1532,plain,
( sP1(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1531,f1426]) ).
fof(f1531,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1529,f1443]) ).
fof(f1443,plain,
( ~ sP0(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f53,f1442]) ).
fof(f1529,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(superposition,[],[f1515,f1455]) ).
fof(f1455,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f270,f1442]) ).
fof(f1515,plain,
( ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_22 ),
inference(forward_demodulation,[],[f263,f1501]) ).
fof(f1501,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1499,f459]) ).
fof(f1499,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(superposition,[],[f292,f1427]) ).
fof(f1427,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f2,f1425]) ).
fof(f1514,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1513,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f1512,f1404]) ).
fof(f1404,plain,
( ~ sP8(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f61,f1403]) ).
fof(f61,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1512,plain,
( sP8(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f1511,f60]) ).
fof(f60,plain,
~ sP7(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1511,plain,
( sP7(sk_c9)
| sP8(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(superposition,[],[f1510,f1455]) ).
fof(f1510,plain,
( ! [X5] :
( sP7(inverse(X5))
| sP8(X5) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(forward_demodulation,[],[f1509,f1501]) ).
fof(f1509,plain,
( ! [X5] :
( sP8(multiply(X5,sk_c9))
| sP7(inverse(X5)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_17 ),
inference(forward_demodulation,[],[f245,f1426]) ).
fof(f245,plain,
( ! [X5] :
( sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9))) )
| ~ spl26_17 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl26_17
<=> ! [X5] :
( sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).
fof(f1508,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1506,f55]) ).
fof(f1506,plain,
( sP2(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1505,f56]) ).
fof(f1505,plain,
( sP3(sk_c9)
| sP2(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(superposition,[],[f1502,f1455]) ).
fof(f1502,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP2(X6) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(backward_demodulation,[],[f1454,f1501]) ).
fof(f1454,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_21 ),
inference(backward_demodulation,[],[f260,f1442]) ).
fof(f1377,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1376,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1375,f1278]) ).
fof(f1278,plain,
( ~ sP1(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(backward_demodulation,[],[f54,f1270]) ).
fof(f1270,plain,
( sk_c9 = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1101,f1262]) ).
fof(f1262,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1257,f1259]) ).
fof(f1259,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(backward_demodulation,[],[f294,f1251]) ).
fof(f1251,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1,f1250]) ).
fof(f1250,plain,
( identity = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1236,f1098]) ).
fof(f1236,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(backward_demodulation,[],[f272,f1231]) ).
fof(f1231,plain,
( sk_c8 = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1230,f1093]) ).
fof(f1230,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f1228,f1104]) ).
fof(f1104,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f75,f154]) ).
fof(f1228,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c9)
| ~ spl26_6 ),
inference(superposition,[],[f292,f1103]) ).
fof(f1103,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f77,f159]) ).
fof(f1257,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(backward_demodulation,[],[f1227,f1251]) ).
fof(f1227,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
| ~ spl26_9 ),
inference(superposition,[],[f3,f1101]) ).
fof(f1375,plain,
( sP1(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_22 ),
inference(forward_demodulation,[],[f1374,f1259]) ).
fof(f1374,plain,
( sP1(multiply(sk_c9,sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f1373,f1277]) ).
fof(f1277,plain,
( ~ sP0(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(backward_demodulation,[],[f53,f1270]) ).
fof(f1373,plain,
( sP0(sk_c9)
| sP1(multiply(sk_c9,sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_22 ),
inference(superposition,[],[f1367,f1288]) ).
fof(f1288,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(backward_demodulation,[],[f270,f1270]) ).
fof(f1367,plain,
( ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,inverse(X7))) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_22 ),
inference(forward_demodulation,[],[f263,f1360]) ).
fof(f1360,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1352,f459]) ).
fof(f1352,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(superposition,[],[f292,f1313]) ).
fof(f1313,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1252,f1270]) ).
fof(f1252,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(backward_demodulation,[],[f2,f1250]) ).
fof(f1366,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f1365,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1364,f55]) ).
fof(f1364,plain,
( sP2(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f1363,f56]) ).
fof(f1363,plain,
( sP3(sk_c9)
| sP2(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_21 ),
inference(superposition,[],[f1361,f1288]) ).
fof(f1361,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP2(X6) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_21 ),
inference(backward_demodulation,[],[f1287,f1360]) ).
fof(f1287,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_9
| ~ spl26_12
| ~ spl26_21 ),
inference(backward_demodulation,[],[f260,f1270]) ).
fof(f1312,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12
| spl26_13
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12
| spl26_13
| ~ spl26_14 ),
inference(subsumption_resolution,[],[f1310,f1210]) ).
fof(f1210,plain,
( sk_c9 != sF24
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_12
| spl26_13 ),
inference(forward_demodulation,[],[f214,f1087]) ).
fof(f214,plain,
( sk_c3 != sF24
| spl26_13 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f1310,plain,
( sk_c9 = sF24
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12
| ~ spl26_14 ),
inference(backward_demodulation,[],[f1267,f1308]) ).
fof(f1308,plain,
( ! [X0] : multiply(sF24,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1265,f1261]) ).
fof(f1261,plain,
( ! [X0] : multiply(sF24,X0) = multiply(sk_c2,X0)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(backward_demodulation,[],[f289,f1259]) ).
fof(f289,plain,
! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f112]) ).
fof(f1265,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12
| ~ spl26_14 ),
inference(backward_demodulation,[],[f558,f1259]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl26_14 ),
inference(backward_demodulation,[],[f456,f227]) ).
fof(f456,plain,
! [X0] : multiply(sF25,multiply(sk_c2,X0)) = X0,
inference(superposition,[],[f292,f121]) ).
fof(f1267,plain,
( sF24 = multiply(sF24,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_12 ),
inference(backward_demodulation,[],[f112,f1261]) ).
fof(f1072,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
fof(f1071,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f1070,f62]) ).
fof(f62,plain,
~ sP9(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1070,plain,
( sP9(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(forward_demodulation,[],[f1069,f621]) ).
fof(f621,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f270,f609]) ).
fof(f609,plain,
( sk_c9 = sk_c7
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f608,f573]) ).
fof(f573,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl26_1 ),
inference(backward_demodulation,[],[f69,f135]) ).
fof(f608,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f606,f570]) ).
fof(f570,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl26_11 ),
inference(backward_demodulation,[],[f94,f191]) ).
fof(f606,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl26_10 ),
inference(superposition,[],[f292,f572]) ).
fof(f572,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl26_10 ),
inference(backward_demodulation,[],[f85,f179]) ).
fof(f1069,plain,
( sP9(inverse(sk_c9))
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(resolution,[],[f1063,f1011]) ).
fof(f1011,plain,
( ~ sP10(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f63,f1009]) ).
fof(f1009,plain,
( sk_c9 = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1008,f980]) ).
fof(f980,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f565,f973]) ).
fof(f973,plain,
( sk_c9 = sk_c3
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f972,f896]) ).
fof(f896,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl26_1
| ~ spl26_3
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f271,f609]) ).
fof(f972,plain,
( multiply(sk_c8,sk_c9) = sk_c3
| ~ spl26_1
| ~ spl26_2
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f580,f609]) ).
fof(f1008,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1006,f559]) ).
fof(f1006,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13 ),
inference(superposition,[],[f292,f976]) ).
fof(f976,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13 ),
inference(forward_demodulation,[],[f561,f973]) ).
fof(f561,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl26_13 ),
inference(backward_demodulation,[],[f112,f215]) ).
fof(f63,plain,
~ sP10(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1063,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14
| ~ spl26_16 ),
inference(forward_demodulation,[],[f242,f1050]) ).
fof(f1050,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(forward_demodulation,[],[f1048,f459]) ).
fof(f1048,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(superposition,[],[f292,f1023]) ).
fof(f1023,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12
| ~ spl26_13
| ~ spl26_14 ),
inference(backward_demodulation,[],[f994,f1009]) ).
fof(f994,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f2,f987]) ).
fof(f987,plain,
( identity = sk_c8
| ~ spl26_1
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11
| ~ spl26_12 ),
inference(forward_demodulation,[],[f623,f980]) ).
fof(f623,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f273,f609]) ).
fof(f242,plain,
( ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c9)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl26_16
<=> ! [X3] :
( sP9(inverse(X3))
| sP10(multiply(X3,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).
fof(f970,plain,
( ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f968,f56]) ).
fof(f968,plain,
( sP3(sk_c9)
| ~ spl26_1
| ~ spl26_4
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(forward_demodulation,[],[f967,f621]) ).
fof(f967,plain,
( sP3(inverse(sk_c9))
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(resolution,[],[f966,f55]) ).
fof(f966,plain,
( ! [X6] :
( sP2(X6)
| sP3(inverse(X6)) )
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(forward_demodulation,[],[f965,f921]) ).
fof(f921,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f919,f459]) ).
fof(f919,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(superposition,[],[f292,f838]) ).
fof(f838,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f2,f837]) ).
fof(f837,plain,
( identity = sk_c9
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f781,f2]) ).
fof(f781,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c6)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(superposition,[],[f292,f638]) ).
fof(f638,plain,
( sk_c6 = multiply(sk_c6,sk_c9)
| ~ spl26_1
| ~ spl26_7
| ~ spl26_8
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f601,f609]) ).
fof(f601,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl26_7
| ~ spl26_8 ),
inference(forward_demodulation,[],[f599,f266]) ).
fof(f266,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl26_8 ),
inference(backward_demodulation,[],[f81,f169]) ).
fof(f599,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl26_7 ),
inference(superposition,[],[f292,f267]) ).
fof(f267,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl26_7 ),
inference(backward_demodulation,[],[f79,f164]) ).
fof(f965,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_21 ),
inference(forward_demodulation,[],[f260,f609]) ).
fof(f800,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f798,f797]) ).
fof(f797,plain,
( ~ sP6(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f59,f609]) ).
fof(f59,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f798,plain,
( sP6(sk_c9)
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11
| ~ spl26_18 ),
inference(forward_demodulation,[],[f249,f614]) ).
fof(f614,plain,
( sk_c9 = sF12
| ~ spl26_1
| ~ spl26_2
| ~ spl26_10
| ~ spl26_11 ),
inference(backward_demodulation,[],[f139,f609]) ).
fof(f249,plain,
( sP6(sF12)
| ~ spl26_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl26_18
<=> sP6(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f723,plain,
( ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f721,f720]) ).
fof(f720,plain,
( ~ sP11(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11 ),
inference(forward_demodulation,[],[f574,f609]) ).
fof(f574,plain,
( ~ sP11(sk_c7)
| ~ spl26_1 ),
inference(backward_demodulation,[],[f130,f135]) ).
fof(f130,plain,
~ sP11(sF13),
inference(definition_folding,[],[f64,f69]) ).
fof(f64,plain,
~ sP11(multiply(sk_c9,sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f721,plain,
( sP11(sk_c9)
| ~ spl26_1
| ~ spl26_10
| ~ spl26_11
| ~ spl26_15 ),
inference(forward_demodulation,[],[f239,f609]) ).
fof(f239,plain,
( sP11(sk_c7)
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl26_15
<=> sP11(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f554,plain,
( ~ spl26_4
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl26_4
| ~ spl26_20 ),
inference(subsumption_resolution,[],[f57,f551]) ).
fof(f551,plain,
( sP4(sk_c7)
| ~ spl26_4
| ~ spl26_20 ),
inference(backward_demodulation,[],[f257,f149]) ).
fof(f257,plain,
( sP4(sF15)
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl26_20
<=> sP4(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f57,plain,
~ sP4(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f544,plain,
( ~ spl26_3
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| ~ spl26_3
| ~ spl26_19 ),
inference(subsumption_resolution,[],[f542,f58]) ).
fof(f58,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f542,plain,
( sP5(sk_c9)
| ~ spl26_3
| ~ spl26_19 ),
inference(forward_demodulation,[],[f253,f144]) ).
fof(f253,plain,
( sP5(sF14)
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl26_19
<=> sP5(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f541,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_18 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_18 ),
inference(subsumption_resolution,[],[f539,f369]) ).
fof(f369,plain,
( ~ sP6(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f59,f365]) ).
fof(f365,plain,
( sk_c9 = sk_c7
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f364,f270]) ).
fof(f364,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f269,f358]) ).
fof(f358,plain,
( sk_c9 = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f340,f354]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f343,f342]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f334,f294]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f284,f328]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f317,f327]) ).
fof(f327,plain,
( ! [X0] : multiply(sF13,X0) = X0
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f323,f281]) ).
fof(f281,plain,
! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(sF13,X0),
inference(superposition,[],[f3,f69]) ).
fof(f323,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f296,f322]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,X0)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_6 ),
inference(forward_demodulation,[],[f319,f305]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl26_4
| ~ spl26_6 ),
inference(superposition,[],[f285,f294]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl26_6 ),
inference(superposition,[],[f3,f268]) ).
fof(f268,plain,
( sk_c9 = multiply(sk_c4,sk_c7)
| ~ spl26_6 ),
inference(backward_demodulation,[],[f77,f159]) ).
fof(f296,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
| ~ spl26_5 ),
inference(forward_demodulation,[],[f295,f1]) ).
fof(f295,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
| ~ spl26_5 ),
inference(superposition,[],[f3,f274]) ).
fof(f274,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl26_5 ),
inference(superposition,[],[f2,f269]) ).
fof(f343,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c9,X0)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f333,f342]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f283,f328]) ).
fof(f340,plain,
( sk_c4 = multiply(sk_c9,sk_c9)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f332,f301]) ).
fof(f301,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl26_4
| ~ spl26_5 ),
inference(superposition,[],[f294,f274]) ).
fof(f332,plain,
( multiply(sk_c7,identity) = multiply(sk_c9,sk_c9)
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f304,f328]) ).
fof(f304,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c8,identity)
| ~ spl26_3
| ~ spl26_4 ),
inference(superposition,[],[f283,f273]) ).
fof(f269,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl26_5 ),
inference(backward_demodulation,[],[f75,f154]) ).
fof(f539,plain,
( sP6(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_18 ),
inference(forward_demodulation,[],[f249,f370]) ).
fof(f370,plain,
( sk_c9 = sF12
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f139,f365]) ).
fof(f538,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(subsumption_resolution,[],[f536,f60]) ).
fof(f536,plain,
( sP7(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(forward_demodulation,[],[f535,f377]) ).
fof(f377,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f270,f365]) ).
fof(f535,plain,
( sP7(inverse(sk_c9))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(resolution,[],[f534,f509]) ).
fof(f509,plain,
( ~ sP8(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f61,f499]) ).
fof(f499,plain,
( sk_c9 = sk_c8
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f475,f380]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f327,f359]) ).
fof(f359,plain,
( sk_c8 = sF13
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f69,f354]) ).
fof(f475,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f458,f459]) ).
fof(f458,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(superposition,[],[f292,f383]) ).
fof(f383,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f2,f381]) ).
fof(f381,plain,
( identity = sk_c9
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(forward_demodulation,[],[f360,f358]) ).
fof(f360,plain,
( identity = sk_c4
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f274,f354]) ).
fof(f534,plain,
( ! [X5] :
( sP8(X5)
| sP7(inverse(X5)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(forward_demodulation,[],[f533,f475]) ).
fof(f533,plain,
( ! [X5] :
( sP8(multiply(X5,sk_c9))
| sP7(inverse(X5)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_17 ),
inference(forward_demodulation,[],[f245,f354]) ).
fof(f532,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(subsumption_resolution,[],[f530,f62]) ).
fof(f530,plain,
( sP9(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(forward_demodulation,[],[f529,f377]) ).
fof(f529,plain,
( sP9(inverse(sk_c9))
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(resolution,[],[f523,f510]) ).
fof(f510,plain,
( ~ sP10(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f63,f499]) ).
fof(f523,plain,
( ! [X3] :
( sP10(X3)
| sP9(inverse(X3)) )
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_16 ),
inference(forward_demodulation,[],[f242,f475]) ).
fof(f516,plain,
( ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_15 ),
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_15 ),
inference(subsumption_resolution,[],[f512,f374]) ).
fof(f374,plain,
( sP11(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6
| ~ spl26_15 ),
inference(backward_demodulation,[],[f239,f365]) ).
fof(f512,plain,
( ~ sP11(sk_c9)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f379,f499]) ).
fof(f379,plain,
( ~ sP11(sk_c8)
| ~ spl26_2
| ~ spl26_3
| ~ spl26_4
| ~ spl26_5
| ~ spl26_6 ),
inference(backward_demodulation,[],[f130,f359]) ).
fof(f264,plain,
( spl26_15
| spl26_16
| spl26_17
| spl26_18
| spl26_19
| spl26_20
| spl26_21
| spl26_22 ),
inference(avatar_split_clause,[],[f131,f262,f259,f255,f251,f247,f244,f241,f237]) ).
fof(f131,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(sF15)
| sP5(sF14)
| sP6(sF12)
| sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9)))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(definition_folding,[],[f67,f68,f71,f73]) ).
fof(f67,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(inverse(sk_c9))
| sP5(multiply(sk_c8,sk_c7))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X5))
| sP8(multiply(sk_c9,multiply(X5,sk_c9)))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(inverse(sk_c9))
| sP5(multiply(sk_c8,sk_c7))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X5))
| multiply(X5,sk_c9) != X4
| sP8(multiply(sk_c9,X4))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X8,X6,X7,X4,X5] :
( sP0(multiply(X8,sk_c9))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(inverse(sk_c9))
| sP5(multiply(sk_c8,sk_c7))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X5))
| multiply(X5,sk_c9) != X4
| sP8(multiply(sk_c9,X4))
| sP9(inverse(X3))
| sP10(multiply(X3,sk_c9))
| sP11(sk_c7) ),
inference(inequality_splitting,[],[f52,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f52,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X8,sk_c9)
| inverse(X7) != X8
| sk_c7 != multiply(X7,X8)
| sk_c9 != multiply(X6,sk_c7)
| sk_c9 != inverse(X6)
| sk_c7 != inverse(sk_c9)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c9)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c9,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_49) ).
fof(f235,plain,
( spl26_14
| spl26_9 ),
inference(avatar_split_clause,[],[f129,f172,f225]) ).
fof(f129,plain,
( sk_c7 = sF20
| sk_c9 = sF25 ),
inference(definition_folding,[],[f51,f121,f83]) ).
fof(f51,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_48) ).
fof(f232,plain,
( spl26_14
| spl26_6 ),
inference(avatar_split_clause,[],[f126,f157,f225]) ).
fof(f126,plain,
( sk_c9 = sF17
| sk_c9 = sF25 ),
inference(definition_folding,[],[f48,f121,f77]) ).
fof(f48,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_45) ).
fof(f231,plain,
( spl26_14
| spl26_5 ),
inference(avatar_split_clause,[],[f125,f152,f225]) ).
fof(f125,plain,
( sk_c9 = sF16
| sk_c9 = sF25 ),
inference(definition_folding,[],[f47,f121,f75]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_44) ).
fof(f230,plain,
( spl26_14
| spl26_4 ),
inference(avatar_split_clause,[],[f124,f147,f225]) ).
fof(f124,plain,
( sk_c7 = sF15
| sk_c9 = sF25 ),
inference(definition_folding,[],[f46,f121,f73]) ).
fof(f46,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_43) ).
fof(f229,plain,
( spl26_14
| spl26_3 ),
inference(avatar_split_clause,[],[f123,f142,f225]) ).
fof(f123,plain,
( sk_c9 = sF14
| sk_c9 = sF25 ),
inference(definition_folding,[],[f45,f121,f71]) ).
fof(f45,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_42) ).
fof(f228,plain,
( spl26_14
| spl26_2 ),
inference(avatar_split_clause,[],[f122,f137,f225]) ).
fof(f122,plain,
( sk_c7 = sF12
| sk_c9 = sF25 ),
inference(definition_folding,[],[f44,f121,f68]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_41) ).
fof(f220,plain,
( spl26_13
| spl26_6 ),
inference(avatar_split_clause,[],[f117,f157,f213]) ).
fof(f117,plain,
( sk_c9 = sF17
| sk_c3 = sF24 ),
inference(definition_folding,[],[f40,f112,f77]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_37) ).
fof(f219,plain,
( spl26_13
| spl26_5 ),
inference(avatar_split_clause,[],[f116,f152,f213]) ).
fof(f116,plain,
( sk_c9 = sF16
| sk_c3 = sF24 ),
inference(definition_folding,[],[f39,f112,f75]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_36) ).
fof(f218,plain,
( spl26_13
| spl26_4 ),
inference(avatar_split_clause,[],[f115,f147,f213]) ).
fof(f115,plain,
( sk_c7 = sF15
| sk_c3 = sF24 ),
inference(definition_folding,[],[f38,f112,f73]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_35) ).
fof(f211,plain,
( spl26_12
| spl26_9 ),
inference(avatar_split_clause,[],[f111,f172,f201]) ).
fof(f111,plain,
( sk_c7 = sF20
| sk_c8 = sF23 ),
inference(definition_folding,[],[f35,f103,f83]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_32) ).
fof(f210,plain,
( spl26_12
| spl26_8 ),
inference(avatar_split_clause,[],[f110,f167,f201]) ).
fof(f110,plain,
( sk_c6 = sF19
| sk_c8 = sF23 ),
inference(definition_folding,[],[f34,f103,f81]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_31) ).
fof(f209,plain,
( spl26_12
| spl26_7 ),
inference(avatar_split_clause,[],[f109,f162,f201]) ).
fof(f109,plain,
( sk_c7 = sF18
| sk_c8 = sF23 ),
inference(definition_folding,[],[f33,f103,f79]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_30) ).
fof(f208,plain,
( spl26_12
| spl26_6 ),
inference(avatar_split_clause,[],[f108,f157,f201]) ).
fof(f108,plain,
( sk_c9 = sF17
| sk_c8 = sF23 ),
inference(definition_folding,[],[f32,f103,f77]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_29) ).
fof(f207,plain,
( spl26_12
| spl26_5 ),
inference(avatar_split_clause,[],[f107,f152,f201]) ).
fof(f107,plain,
( sk_c9 = sF16
| sk_c8 = sF23 ),
inference(definition_folding,[],[f31,f103,f75]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_28) ).
fof(f206,plain,
( spl26_12
| spl26_4 ),
inference(avatar_split_clause,[],[f106,f147,f201]) ).
fof(f106,plain,
( sk_c7 = sF15
| sk_c8 = sF23 ),
inference(definition_folding,[],[f30,f103,f73]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_27) ).
fof(f199,plain,
( spl26_11
| spl26_9 ),
inference(avatar_split_clause,[],[f102,f172,f189]) ).
fof(f102,plain,
( sk_c7 = sF20
| sk_c9 = sF22 ),
inference(definition_folding,[],[f27,f94,f83]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_24) ).
fof(f198,plain,
( spl26_11
| spl26_8 ),
inference(avatar_split_clause,[],[f101,f167,f189]) ).
fof(f101,plain,
( sk_c6 = sF19
| sk_c9 = sF22 ),
inference(definition_folding,[],[f26,f94,f81]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_23) ).
fof(f197,plain,
( spl26_11
| spl26_7 ),
inference(avatar_split_clause,[],[f100,f162,f189]) ).
fof(f100,plain,
( sk_c7 = sF18
| sk_c9 = sF22 ),
inference(definition_folding,[],[f25,f94,f79]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_22) ).
fof(f196,plain,
( spl26_11
| spl26_6 ),
inference(avatar_split_clause,[],[f99,f157,f189]) ).
fof(f99,plain,
( sk_c9 = sF17
| sk_c9 = sF22 ),
inference(definition_folding,[],[f24,f94,f77]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_21) ).
fof(f195,plain,
( spl26_11
| spl26_5 ),
inference(avatar_split_clause,[],[f98,f152,f189]) ).
fof(f98,plain,
( sk_c9 = sF16
| sk_c9 = sF22 ),
inference(definition_folding,[],[f23,f94,f75]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_20) ).
fof(f194,plain,
( spl26_11
| spl26_4 ),
inference(avatar_split_clause,[],[f97,f147,f189]) ).
fof(f97,plain,
( sk_c7 = sF15
| sk_c9 = sF22 ),
inference(definition_folding,[],[f22,f94,f73]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_19) ).
fof(f193,plain,
( spl26_11
| spl26_3 ),
inference(avatar_split_clause,[],[f96,f142,f189]) ).
fof(f96,plain,
( sk_c9 = sF14
| sk_c9 = sF22 ),
inference(definition_folding,[],[f21,f94,f71]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_18) ).
fof(f192,plain,
( spl26_11
| spl26_2 ),
inference(avatar_split_clause,[],[f95,f137,f189]) ).
fof(f95,plain,
( sk_c7 = sF12
| sk_c9 = sF22 ),
inference(definition_folding,[],[f20,f94,f68]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_17) ).
fof(f187,plain,
( spl26_10
| spl26_9 ),
inference(avatar_split_clause,[],[f93,f172,f177]) ).
fof(f93,plain,
( sk_c7 = sF20
| sk_c8 = sF21 ),
inference(definition_folding,[],[f19,f85,f83]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_16) ).
fof(f186,plain,
( spl26_10
| spl26_8 ),
inference(avatar_split_clause,[],[f92,f167,f177]) ).
fof(f92,plain,
( sk_c6 = sF19
| sk_c8 = sF21 ),
inference(definition_folding,[],[f18,f85,f81]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_15) ).
fof(f185,plain,
( spl26_10
| spl26_7 ),
inference(avatar_split_clause,[],[f91,f162,f177]) ).
fof(f91,plain,
( sk_c7 = sF18
| sk_c8 = sF21 ),
inference(definition_folding,[],[f17,f85,f79]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_14) ).
fof(f184,plain,
( spl26_10
| spl26_6 ),
inference(avatar_split_clause,[],[f90,f157,f177]) ).
fof(f90,plain,
( sk_c9 = sF17
| sk_c8 = sF21 ),
inference(definition_folding,[],[f16,f85,f77]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_13) ).
fof(f183,plain,
( spl26_10
| spl26_5 ),
inference(avatar_split_clause,[],[f89,f152,f177]) ).
fof(f89,plain,
( sk_c9 = sF16
| sk_c8 = sF21 ),
inference(definition_folding,[],[f15,f85,f75]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_12) ).
fof(f182,plain,
( spl26_10
| spl26_4 ),
inference(avatar_split_clause,[],[f88,f147,f177]) ).
fof(f88,plain,
( sk_c7 = sF15
| sk_c8 = sF21 ),
inference(definition_folding,[],[f14,f85,f73]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_11) ).
fof(f181,plain,
( spl26_10
| spl26_3 ),
inference(avatar_split_clause,[],[f87,f142,f177]) ).
fof(f87,plain,
( sk_c9 = sF14
| sk_c8 = sF21 ),
inference(definition_folding,[],[f13,f85,f71]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_10) ).
fof(f180,plain,
( spl26_10
| spl26_2 ),
inference(avatar_split_clause,[],[f86,f137,f177]) ).
fof(f86,plain,
( sk_c7 = sF12
| sk_c8 = sF21 ),
inference(definition_folding,[],[f12,f85,f68]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_9) ).
fof(f170,plain,
( spl26_1
| spl26_8 ),
inference(avatar_split_clause,[],[f82,f167,f133]) ).
fof(f82,plain,
( sk_c6 = sF19
| sk_c7 = sF13 ),
inference(definition_folding,[],[f10,f69,f81]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_7) ).
fof(f165,plain,
( spl26_1
| spl26_7 ),
inference(avatar_split_clause,[],[f80,f162,f133]) ).
fof(f80,plain,
( sk_c7 = sF18
| sk_c7 = sF13 ),
inference(definition_folding,[],[f9,f69,f79]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_6) ).
fof(f160,plain,
( spl26_1
| spl26_6 ),
inference(avatar_split_clause,[],[f78,f157,f133]) ).
fof(f78,plain,
( sk_c9 = sF17
| sk_c7 = sF13 ),
inference(definition_folding,[],[f8,f69,f77]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c4,sk_c7)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_5) ).
fof(f155,plain,
( spl26_1
| spl26_5 ),
inference(avatar_split_clause,[],[f76,f152,f133]) ).
fof(f76,plain,
( sk_c9 = sF16
| sk_c7 = sF13 ),
inference(definition_folding,[],[f7,f69,f75]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_4) ).
fof(f150,plain,
( spl26_1
| spl26_4 ),
inference(avatar_split_clause,[],[f74,f147,f133]) ).
fof(f74,plain,
( sk_c7 = sF15
| sk_c7 = sF13 ),
inference(definition_folding,[],[f6,f69,f73]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_3) ).
fof(f145,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f72,f142,f133]) ).
fof(f72,plain,
( sk_c9 = sF14
| sk_c7 = sF13 ),
inference(definition_folding,[],[f5,f69,f71]) ).
fof(f5,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_2) ).
fof(f140,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f70,f137,f133]) ).
fof(f70,plain,
( sk_c7 = sF12
| sk_c7 = sF13 ),
inference(definition_folding,[],[f4,f69,f68]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.xmb3Q1aubR/Vampire---4.8_12049',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP282-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:47:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.37 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.xmb3Q1aubR/Vampire---4.8_12049
% 0.57/0.77 % (12270)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)
% 0.57/0.77 % (12265)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.77 % (12264)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)
% 0.57/0.77 % (12268)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)
% 0.57/0.77 % (12266)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)
% 0.57/0.77 % (12267)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)
% 0.57/0.77 % (12263)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)
% 0.57/0.77 % (12269)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)
% 0.57/0.77 % (12270)Refutation not found, incomplete strategy% (12270)------------------------------
% 0.57/0.77 % (12270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (12270)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (12270)Memory used [KB]: 1012
% 0.57/0.77 % (12270)Time elapsed: 0.002 s
% 0.57/0.77 % (12270)Instructions burned: 5 (million)
% 0.57/0.77 % (12270)------------------------------
% 0.57/0.77 % (12270)------------------------------
% 0.57/0.77 % (12266)Refutation not found, incomplete strategy% (12266)------------------------------
% 0.57/0.77 % (12266)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (12266)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (12266)Memory used [KB]: 993
% 0.57/0.77 % (12266)Time elapsed: 0.003 s
% 0.57/0.77 % (12266)Instructions burned: 5 (million)
% 0.57/0.77 % (12267)Refutation not found, incomplete strategy% (12267)------------------------------
% 0.57/0.77 % (12267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (12267)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (12267)Memory used [KB]: 1027
% 0.57/0.77 % (12267)Time elapsed: 0.004 s
% 0.57/0.77 % (12267)Instructions burned: 5 (million)
% 0.57/0.77 % (12266)------------------------------
% 0.57/0.77 % (12266)------------------------------
% 0.57/0.77 % (12265)Refutation not found, incomplete strategy% (12265)------------------------------
% 0.57/0.77 % (12265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (12265)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (12265)Memory used [KB]: 1068
% 0.57/0.77 % (12265)Time elapsed: 0.004 s
% 0.57/0.77 % (12265)Instructions burned: 6 (million)
% 0.57/0.77 % (12268)Refutation not found, incomplete strategy% (12268)------------------------------
% 0.57/0.77 % (12268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (12268)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (12268)Memory used [KB]: 1063
% 0.57/0.77 % (12268)Time elapsed: 0.004 s
% 0.57/0.77 % (12268)Instructions burned: 6 (million)
% 0.57/0.77 % (12267)------------------------------
% 0.57/0.77 % (12267)------------------------------
% 0.57/0.77 % (12265)------------------------------
% 0.57/0.77 % (12265)------------------------------
% 0.57/0.77 % (12268)------------------------------
% 0.57/0.77 % (12268)------------------------------
% 0.57/0.77 % (12263)Refutation not found, incomplete strategy% (12263)------------------------------
% 0.57/0.77 % (12263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (12263)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (12263)Memory used [KB]: 1011
% 0.57/0.77 % (12263)Time elapsed: 0.004 s
% 0.57/0.77 % (12263)Instructions burned: 5 (million)
% 0.57/0.77 % (12263)------------------------------
% 0.57/0.77 % (12263)------------------------------
% 0.57/0.78 % (12269)Refutation not found, incomplete strategy% (12269)------------------------------
% 0.57/0.78 % (12269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12269)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12269)Memory used [KB]: 1099
% 0.57/0.78 % (12269)Time elapsed: 0.006 s
% 0.57/0.78 % (12269)Instructions burned: 8 (million)
% 0.57/0.78 % (12275)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)
% 0.57/0.78 % (12269)------------------------------
% 0.57/0.78 % (12269)------------------------------
% 0.57/0.78 % (12276)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)
% 0.57/0.78 % (12274)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)
% 0.57/0.78 % (12272)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)
% 0.57/0.78 % (12273)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)
% 0.57/0.78 % (12275)Refutation not found, incomplete strategy% (12275)------------------------------
% 0.57/0.78 % (12275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12275)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12275)Memory used [KB]: 1066
% 0.57/0.78 % (12277)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)
% 0.57/0.78 % (12275)Time elapsed: 0.003 s
% 0.57/0.78 % (12275)Instructions burned: 6 (million)
% 0.57/0.78 % (12275)------------------------------
% 0.57/0.78 % (12275)------------------------------
% 0.57/0.78 % (12276)Refutation not found, incomplete strategy% (12276)------------------------------
% 0.57/0.78 % (12276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12276)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12278)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 (2995ds/243Mi)
% 0.57/0.78 % (12276)Memory used [KB]: 1069
% 0.57/0.78 % (12276)Time elapsed: 0.005 s
% 0.57/0.78 % (12276)Instructions burned: 7 (million)
% 0.57/0.78 % (12277)Refutation not found, incomplete strategy% (12277)------------------------------
% 0.57/0.78 % (12277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12277)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12277)Memory used [KB]: 1035
% 0.57/0.78 % (12277)Time elapsed: 0.004 s
% 0.57/0.78 % (12277)Instructions burned: 5 (million)
% 0.57/0.78 % (12280)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 (2995ds/117Mi)
% 0.57/0.78 % (12273)Refutation not found, incomplete strategy% (12273)------------------------------
% 0.57/0.78 % (12273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12273)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12273)Memory used [KB]: 1002
% 0.57/0.78 % (12273)Time elapsed: 0.005 s
% 0.57/0.78 % (12273)Instructions burned: 7 (million)
% 0.57/0.78 % (12276)------------------------------
% 0.57/0.78 % (12276)------------------------------
% 0.57/0.78 % (12277)------------------------------
% 0.57/0.78 % (12277)------------------------------
% 0.57/0.78 % (12273)------------------------------
% 0.57/0.78 % (12273)------------------------------
% 0.57/0.78 % (12272)Refutation not found, incomplete strategy% (12272)------------------------------
% 0.57/0.78 % (12272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12272)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12272)Memory used [KB]: 1095
% 0.57/0.78 % (12272)Time elapsed: 0.005 s
% 0.57/0.78 % (12272)Instructions burned: 7 (million)
% 0.57/0.78 % (12272)------------------------------
% 0.57/0.78 % (12272)------------------------------
% 0.57/0.78 % (12280)Refutation not found, incomplete strategy% (12280)------------------------------
% 0.57/0.78 % (12280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (12280)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (12280)Memory used [KB]: 1013
% 0.57/0.78 % (12280)Time elapsed: 0.002 s
% 0.57/0.78 % (12280)Instructions burned: 5 (million)
% 0.57/0.78 % (12280)------------------------------
% 0.57/0.78 % (12280)------------------------------
% 0.57/0.78 % (12281)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 (2995ds/143Mi)
% 0.57/0.78 % (12286)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 (2995ds/1919Mi)
% 0.57/0.79 % (12282)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 (2995ds/93Mi)
% 0.57/0.79 % (12283)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 (2995ds/62Mi)
% 0.57/0.79 % (12284)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 (2995ds/32Mi)
% 0.57/0.79 % (12281)Refutation not found, incomplete strategy% (12281)------------------------------
% 0.57/0.79 % (12281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (12281)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (12281)Memory used [KB]: 1077
% 0.57/0.79 % (12281)Time elapsed: 0.004 s
% 0.57/0.79 % (12281)Instructions burned: 5 (million)
% 0.57/0.79 % (12281)------------------------------
% 0.57/0.79 % (12281)------------------------------
% 0.57/0.79 % (12286)Refutation not found, incomplete strategy% (12286)------------------------------
% 0.57/0.79 % (12286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (12286)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (12286)Memory used [KB]: 1069
% 0.57/0.79 % (12286)Time elapsed: 0.003 s
% 0.57/0.79 % (12286)Instructions burned: 7 (million)
% 0.57/0.79 % (12283)Refutation not found, incomplete strategy% (12283)------------------------------
% 0.57/0.79 % (12283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (12283)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (12283)Memory used [KB]: 1013
% 0.57/0.79 % (12283)Time elapsed: 0.004 s
% 0.57/0.79 % (12283)Instructions burned: 4 (million)
% 0.57/0.79 % (12286)------------------------------
% 0.57/0.79 % (12286)------------------------------
% 0.57/0.79 % (12283)------------------------------
% 0.57/0.79 % (12283)------------------------------
% 0.57/0.79 % (12274)Refutation not found, incomplete strategy% (12274)------------------------------
% 0.57/0.79 % (12274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (12274)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (12274)Memory used [KB]: 1253
% 0.57/0.79 % (12274)Time elapsed: 0.013 s
% 0.57/0.79 % (12274)Instructions burned: 24 (million)
% 0.57/0.79 % (12274)------------------------------
% 0.57/0.79 % (12274)------------------------------
% 0.72/0.79 % (12290)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 (2995ds/53Mi)
% 0.72/0.79 % (12289)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 (2995ds/55Mi)
% 0.72/0.79 % (12291)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 (2995ds/46Mi)
% 0.72/0.79 % (12295)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 (2995ds/102Mi)
% 0.72/0.79 % (12289)Refutation not found, incomplete strategy% (12289)------------------------------
% 0.72/0.79 % (12289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.79 % (12289)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.79
% 0.72/0.79 % (12289)Memory used [KB]: 1106
% 0.72/0.79 % (12289)Time elapsed: 0.004 s
% 0.72/0.79 % (12289)Instructions burned: 6 (million)
% 0.72/0.79 % (12289)------------------------------
% 0.72/0.79 % (12289)------------------------------
% 0.72/0.79 % (12291)Refutation not found, incomplete strategy% (12291)------------------------------
% 0.72/0.79 % (12291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.79 % (12291)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.79
% 0.72/0.79 % (12291)Memory used [KB]: 1082
% 0.72/0.79 % (12291)Time elapsed: 0.003 s
% 0.72/0.79 % (12291)Instructions burned: 4 (million)
% 0.72/0.79 % (12291)------------------------------
% 0.72/0.79 % (12291)------------------------------
% 0.72/0.80 % (12264)Instruction limit reached!
% 0.72/0.80 % (12264)------------------------------
% 0.72/0.80 % (12264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.80 % (12264)Termination reason: Unknown
% 0.72/0.80 % (12264)Termination phase: Saturation
% 0.72/0.80
% 0.72/0.80 % (12264)Memory used [KB]: 1771
% 0.72/0.80 % (12264)Time elapsed: 0.027 s
% 0.72/0.80 % (12264)Instructions burned: 52 (million)
% 0.72/0.80 % (12264)------------------------------
% 0.72/0.80 % (12264)------------------------------
% 0.72/0.80 % (12296)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 (2995ds/35Mi)
% 0.72/0.80 % (12298)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)
% 0.72/0.80 % (12300)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)
% 0.72/0.80 % (12284)Instruction limit reached!
% 0.72/0.80 % (12284)------------------------------
% 0.72/0.80 % (12284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.80 % (12284)Termination reason: Unknown
% 0.72/0.80 % (12284)Termination phase: Saturation
% 0.72/0.80
% 0.72/0.80 % (12284)Memory used [KB]: 1411
% 0.72/0.80 % (12284)Time elapsed: 0.016 s
% 0.72/0.80 % (12284)Instructions burned: 33 (million)
% 0.72/0.80 % (12284)------------------------------
% 0.72/0.80 % (12284)------------------------------
% 0.72/0.80 % (12307)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)
% 0.72/0.80 % (12290)Instruction limit reached!
% 0.72/0.80 % (12290)------------------------------
% 0.72/0.80 % (12290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.80 % (12290)Termination reason: Unknown
% 0.72/0.80 % (12290)Termination phase: Saturation
% 0.72/0.80
% 0.72/0.80 % (12290)Memory used [KB]: 1191
% 0.72/0.80 % (12290)Time elapsed: 0.015 s
% 0.72/0.80 % (12290)Instructions burned: 53 (million)
% 0.72/0.80 % (12290)------------------------------
% 0.72/0.80 % (12290)------------------------------
% 0.72/0.80 % (12307)Refutation not found, incomplete strategy% (12307)------------------------------
% 0.72/0.80 % (12307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.80 % (12307)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.80
% 0.72/0.80 % (12307)Memory used [KB]: 990
% 0.72/0.80 % (12307)Time elapsed: 0.003 s
% 0.72/0.80 % (12307)Instructions burned: 5 (million)
% 0.72/0.81 % (12307)------------------------------
% 0.72/0.81 % (12307)------------------------------
% 0.72/0.81 % (12296)Instruction limit reached!
% 0.72/0.81 % (12296)------------------------------
% 0.72/0.81 % (12296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.81 % (12296)Termination reason: Unknown
% 0.72/0.81 % (12296)Termination phase: Saturation
% 0.72/0.81
% 0.72/0.81 % (12296)Memory used [KB]: 1177
% 0.72/0.81 % (12296)Time elapsed: 0.011 s
% 0.72/0.81 % (12296)Instructions burned: 37 (million)
% 0.72/0.81 % (12296)------------------------------
% 0.72/0.81 % (12296)------------------------------
% 0.72/0.81 % (12310)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)
% 0.72/0.81 % (12310)Refutation not found, incomplete strategy% (12310)------------------------------
% 0.72/0.81 % (12310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.81 % (12310)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.81
% 0.72/0.81 % (12310)Memory used [KB]: 1098
% 0.72/0.81 % (12310)Time elapsed: 0.002 s
% 0.72/0.81 % (12310)Instructions burned: 5 (million)
% 0.72/0.81 % (12312)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)
% 0.72/0.81 % (12313)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)
% 0.72/0.81 % (12310)------------------------------
% 0.72/0.81 % (12310)------------------------------
% 0.72/0.81 % (12315)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)
% 0.72/0.82 % (12312)Refutation not found, incomplete strategy% (12312)------------------------------
% 0.72/0.82 % (12312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.82 % (12312)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.82
% 0.72/0.82 % (12312)Memory used [KB]: 1342
% 0.72/0.82 % (12312)Time elapsed: 0.034 s
% 0.72/0.82 % (12312)Instructions burned: 30 (million)
% 0.72/0.82 % (12312)------------------------------
% 0.72/0.82 % (12312)------------------------------
% 0.72/0.82 % (12298)Instruction limit reached!
% 0.72/0.82 % (12298)------------------------------
% 0.72/0.82 % (12298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.82 % (12298)Termination reason: Unknown
% 0.72/0.82 % (12298)Termination phase: Saturation
% 0.72/0.82
% 0.72/0.82 % (12298)Memory used [KB]: 1394
% 0.72/0.82 % (12298)Time elapsed: 0.025 s
% 0.72/0.82 % (12298)Instructions burned: 87 (million)
% 0.72/0.82 % (12298)------------------------------
% 0.72/0.82 % (12298)------------------------------
% 0.72/0.82 % (12322)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)
% 0.72/0.82 % (12323)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)
% 0.72/0.83 % (12295)Instruction limit reached!
% 0.72/0.83 % (12295)------------------------------
% 0.72/0.83 % (12295)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83 % (12295)Termination reason: Unknown
% 0.72/0.83 % (12295)Termination phase: Saturation
% 0.72/0.83
% 0.72/0.83 % (12295)Memory used [KB]: 2432
% 0.72/0.83 % (12295)Time elapsed: 0.035 s
% 0.72/0.83 % (12295)Instructions burned: 103 (million)
% 0.72/0.83 % (12295)------------------------------
% 0.72/0.83 % (12295)------------------------------
% 0.72/0.83 % (12329)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)
% 0.72/0.83 % (12282)Instruction limit reached!
% 0.72/0.83 % (12282)------------------------------
% 0.72/0.83 % (12282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83 % (12282)Termination reason: Unknown
% 0.72/0.83 % (12282)Termination phase: Saturation
% 0.72/0.83
% 0.72/0.83 % (12282)Memory used [KB]: 2182
% 0.72/0.83 % (12282)Time elapsed: 0.048 s
% 0.72/0.83 % (12282)Instructions burned: 93 (million)
% 0.72/0.83 % (12282)------------------------------
% 0.72/0.83 % (12282)------------------------------
% 0.72/0.83 % (12278)Refutation not found, incomplete strategy% (12278)------------------------------
% 0.72/0.83 % (12278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83 % (12278)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.83
% 0.72/0.83 % (12278)Memory used [KB]: 1612
% 0.72/0.83 % (12278)Time elapsed: 0.052 s
% 0.72/0.83 % (12278)Instructions burned: 99 (million)
% 0.72/0.83 % (12278)------------------------------
% 0.72/0.83 % (12278)------------------------------
% 0.72/0.83 % (12323)Instruction limit reached!
% 0.72/0.83 % (12323)------------------------------
% 0.72/0.83 % (12323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.83 % (12323)Termination reason: Unknown
% 0.72/0.83 % (12323)Termination phase: Saturation
% 0.72/0.83
% 0.72/0.83 % (12323)Memory used [KB]: 1638
% 0.72/0.83 % (12323)Time elapsed: 0.036 s
% 0.72/0.83 % (12323)Instructions burned: 37 (million)
% 0.72/0.83 % (12323)------------------------------
% 0.72/0.83 % (12323)------------------------------
% 0.72/0.83 % (12335)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)
% 0.72/0.84 % (12336)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.72/0.84 % (12339)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)
% 0.72/0.84 % (12300)Instruction limit reached!
% 0.72/0.84 % (12300)------------------------------
% 0.72/0.84 % (12300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84 % (12336)Refutation not found, incomplete strategy% (12336)------------------------------
% 0.72/0.84 % (12336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84 % (12336)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.84
% 0.72/0.84 % (12336)Memory used [KB]: 1013
% 0.72/0.84 % (12336)Time elapsed: 0.004 s
% 0.72/0.84 % (12336)Instructions burned: 5 (million)
% 0.72/0.84 % (12300)Termination reason: Unknown
% 0.72/0.84 % (12300)Termination phase: Saturation
% 0.72/0.84
% 0.72/0.84 % (12300)Memory used [KB]: 2247
% 0.72/0.84 % (12300)Time elapsed: 0.062 s
% 0.72/0.84 % (12300)Instructions burned: 109 (million)
% 0.72/0.84 % (12300)------------------------------
% 0.72/0.84 % (12300)------------------------------
% 0.72/0.84 % (12336)------------------------------
% 0.72/0.84 % (12336)------------------------------
% 0.72/0.84 % (12339)Refutation not found, incomplete strategy% (12339)------------------------------
% 0.72/0.84 % (12339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84 % (12339)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.84
% 0.72/0.84 % (12339)Memory used [KB]: 971
% 0.72/0.84 % (12339)Time elapsed: 0.002 s
% 0.72/0.84 % (12339)Instructions burned: 6 (million)
% 0.72/0.84 % (12339)------------------------------
% 0.72/0.84 % (12339)------------------------------
% 0.72/0.84 % (12343)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)
% 0.72/0.84 % (12345)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)
% 0.72/0.84 % (12343)Refutation not found, incomplete strategy% (12343)------------------------------
% 0.72/0.84 % (12343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84 % (12343)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.84
% 0.72/0.84 % (12343)Memory used [KB]: 998
% 0.72/0.84 % (12343)Time elapsed: 0.002 s
% 0.72/0.84 % (12343)Instructions burned: 6 (million)
% 0.72/0.84 % (12343)------------------------------
% 0.72/0.84 % (12343)------------------------------
% 0.72/0.84 % (12344)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)
% 0.72/0.84 % (12322)Instruction limit reached!
% 0.72/0.84 % (12322)------------------------------
% 0.72/0.84 % (12322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84 % (12322)Termination reason: Unknown
% 0.72/0.84 % (12322)Termination phase: Saturation
% 0.72/0.84
% 0.72/0.84 % (12322)Memory used [KB]: 1375
% 0.72/0.84 % (12322)Time elapsed: 0.043 s
% 0.72/0.84 % (12322)Instructions burned: 82 (million)
% 0.72/0.84 % (12322)------------------------------
% 0.72/0.84 % (12322)------------------------------
% 0.72/0.84 % (12313)First to succeed.
% 0.72/0.84 % (12347)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)
% 0.72/0.84 % (12329)Instruction limit reached!
% 0.72/0.84 % (12329)------------------------------
% 0.72/0.84 % (12329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.84 % (12329)Termination reason: Unknown
% 0.72/0.84 % (12329)Termination phase: Saturation
% 0.72/0.84
% 0.72/0.84 % (12329)Memory used [KB]: 1813
% 0.72/0.84 % (12329)Time elapsed: 0.042 s
% 0.72/0.84 % (12329)Instructions burned: 57 (million)
% 0.72/0.84 % (12329)------------------------------
% 0.72/0.84 % (12329)------------------------------
% 0.72/0.84 % (12348)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)
% 0.72/0.85 % (12313)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12206"
% 0.72/0.85 % (12350)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)
% 0.72/0.85 % (12313)Refutation found. Thanks to Tanya!
% 0.72/0.85 % SZS status Unsatisfiable for Vampire---4
% 0.72/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.85 % (12313)------------------------------
% 0.72/0.85 % (12313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.85 % (12313)Termination reason: Refutation
% 0.72/0.85
% 0.72/0.85 % (12313)Memory used [KB]: 1518
% 0.72/0.85 % (12313)Time elapsed: 0.063 s
% 0.72/0.85 % (12313)Instructions burned: 120 (million)
% 0.72/0.85 % (12206)Success in time 0.484 s
% 0.72/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------