TSTP Solution File: GRP263-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP263-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : 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 : Wed Aug 31 16:15:05 EDT 2022
% Result : Unsatisfiable 1.86s 0.68s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 86
% Syntax : Number of formulae : 475 ( 33 unt; 0 def)
% Number of atoms : 1859 ( 602 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2669 (1285 ~;1359 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-2 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2419,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f140,f145,f159,f164,f169,f178,f188,f194,f195,f202,f207,f208,f209,f210,f211,f212,f213,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f460,f509,f529,f535,f628,f699,f707,f795,f973,f1025,f1766,f1835,f1903,f1961,f1962,f1995,f2133,f2151,f2259,f2336,f2398,f2406]) ).
fof(f2406,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_12
| ~ spl15_35
| spl15_38 ),
inference(avatar_contradiction_clause,[],[f2405]) ).
fof(f2405,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_12
| ~ spl15_35
| spl15_38 ),
inference(subsumption_resolution,[],[f2404,f2364]) ).
fof(f2364,plain,
( identity != sk_c11
| ~ spl15_3
| ~ spl15_7
| spl15_38 ),
inference(forward_demodulation,[],[f1843,f1943]) ).
fof(f1943,plain,
( identity = sk_c9
| ~ spl15_3
| ~ spl15_7 ),
inference(forward_demodulation,[],[f1941,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1941,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl15_3
| ~ spl15_7 ),
inference(superposition,[],[f273,f1241]) ).
fof(f1241,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f1239,f153]) ).
fof(f153,plain,
( sk_c9 = sF10
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl15_7
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f1239,plain,
( sk_c10 = multiply(sk_c10,sF10)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f320,f135]) ).
fof(f135,plain,
( sk_c10 = sF1
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl15_3
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f320,plain,
sk_c10 = multiply(sF1,sF10),
inference(forward_demodulation,[],[f310,f58]) ).
fof(f58,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f310,plain,
sk_c10 = multiply(inverse(sk_c2),sF10),
inference(superposition,[],[f273,f76]) ).
fof(f76,plain,
multiply(sk_c2,sk_c10) = sF10,
introduced(function_definition,[]) ).
fof(f273,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f262,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f262,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1843,plain,
( sk_c11 != sk_c9
| spl15_38 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1841,plain,
( spl15_38
<=> sk_c11 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f2404,plain,
( identity = sk_c11
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_12
| ~ spl15_35 ),
inference(backward_demodulation,[],[f2378,f2403]) ).
fof(f2403,plain,
( ! [X1] : multiply(sF9,X1) = X1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_12
| ~ spl15_35 ),
inference(backward_demodulation,[],[f1910,f2401]) ).
fof(f2401,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_12
| ~ spl15_35 ),
inference(backward_demodulation,[],[f2380,f2399]) ).
fof(f2399,plain,
( ! [X8] : multiply(sk_c11,X8) = X8
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_12
| ~ spl15_35 ),
inference(backward_demodulation,[],[f2372,f2395]) ).
fof(f2395,plain,
( ! [X16] : multiply(sk_c1,multiply(sk_c11,X16)) = X16
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_35 ),
inference(backward_demodulation,[],[f2379,f2392]) ).
fof(f2392,plain,
( sk_c1 = sk_c2
| ~ spl15_3
| ~ spl15_5
| ~ spl15_35 ),
inference(forward_demodulation,[],[f2391,f837]) ).
fof(f837,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f312,f144]) ).
fof(f144,plain,
( sk_c11 = sF3
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_5
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f312,plain,
sk_c1 = multiply(inverse(sF3),identity),
inference(superposition,[],[f273,f253]) ).
fof(f253,plain,
identity = multiply(sF3,sk_c1),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f2391,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl15_3
| ~ spl15_35 ),
inference(forward_demodulation,[],[f1530,f1830]) ).
fof(f1830,plain,
( sk_c11 = sk_c10
| ~ spl15_35 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1829,plain,
( spl15_35
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f1530,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f311,f135]) ).
fof(f311,plain,
sk_c2 = multiply(inverse(sF1),identity),
inference(superposition,[],[f273,f259]) ).
fof(f259,plain,
identity = multiply(sF1,sk_c2),
inference(superposition,[],[f2,f58]) ).
fof(f2379,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c11,X16)) = X16
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35 ),
inference(backward_demodulation,[],[f1963,f1830]) ).
fof(f1963,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c10,X16)) = X16
| ~ spl15_3
| ~ spl15_7 ),
inference(forward_demodulation,[],[f1952,f1]) ).
fof(f1952,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c10,X16)) = multiply(identity,X16)
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f1116,f1943]) ).
fof(f1116,plain,
( ! [X16] : multiply(sk_c9,X16) = multiply(sk_c2,multiply(sk_c10,X16))
| ~ spl15_7 ),
inference(forward_demodulation,[],[f271,f153]) ).
fof(f271,plain,
! [X16] : multiply(sk_c2,multiply(sk_c10,X16)) = multiply(sF10,X16),
inference(superposition,[],[f3,f76]) ).
fof(f2372,plain,
( ! [X8] : multiply(sk_c11,X8) = multiply(sk_c1,multiply(sk_c11,X8))
| ~ spl15_12
| ~ spl15_35 ),
inference(backward_demodulation,[],[f1785,f1830]) ).
fof(f1785,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c11,X8)) = multiply(sk_c10,X8)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f263,f177]) ).
fof(f177,plain,
( sk_c10 = sF7
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl15_12
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f263,plain,
! [X8] : multiply(sF7,X8) = multiply(sk_c1,multiply(sk_c11,X8)),
inference(superposition,[],[f3,f69]) ).
fof(f69,plain,
multiply(sk_c1,sk_c11) = sF7,
introduced(function_definition,[]) ).
fof(f2380,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35 ),
inference(backward_demodulation,[],[f1964,f1830]) ).
fof(f1964,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c10,X0)) = X0
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7 ),
inference(forward_demodulation,[],[f1955,f1]) ).
fof(f1955,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f1805,f1943]) ).
fof(f1805,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl15_2 ),
inference(superposition,[],[f3,f251]) ).
fof(f251,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl15_2 ),
inference(backward_demodulation,[],[f85,f130]) ).
fof(f130,plain,
( sk_c9 = sF13
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c9 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f85,plain,
multiply(sk_c4,sk_c10) = sF13,
introduced(function_definition,[]) ).
fof(f1910,plain,
! [X1] : multiply(sF9,multiply(sk_c4,X1)) = X1,
inference(superposition,[],[f273,f74]) ).
fof(f74,plain,
inverse(sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f2378,plain,
( sk_c11 = multiply(sF9,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35 ),
inference(backward_demodulation,[],[f1957,f1830]) ).
fof(f1957,plain,
( sk_c10 = multiply(sF9,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f1904,f1943]) ).
fof(f1904,plain,
( sk_c10 = multiply(sF9,sk_c9)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f302,f74]) ).
fof(f302,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl15_2 ),
inference(superposition,[],[f273,f251]) ).
fof(f2398,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| spl15_23
| ~ spl15_35 ),
inference(avatar_contradiction_clause,[],[f2397]) ).
fof(f2397,plain,
( $false
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| spl15_23
| ~ spl15_35 ),
inference(subsumption_resolution,[],[f2393,f2365]) ).
fof(f2365,plain,
( identity != multiply(sk_c1,sk_c11)
| ~ spl15_5
| spl15_23 ),
inference(forward_demodulation,[],[f551,f144]) ).
fof(f551,plain,
( identity != multiply(sk_c1,sF3)
| spl15_23 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl15_23
<=> identity = multiply(sk_c1,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f2393,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl15_3
| ~ spl15_5
| ~ spl15_7
| ~ spl15_35 ),
inference(backward_demodulation,[],[f2387,f2392]) ).
fof(f2387,plain,
( identity = multiply(sk_c2,sk_c11)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35 ),
inference(forward_demodulation,[],[f1954,f1830]) ).
fof(f1954,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f1414,f1943]) ).
fof(f1414,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl15_7 ),
inference(forward_demodulation,[],[f76,f153]) ).
fof(f2336,plain,
( ~ spl15_3
| ~ spl15_7
| spl15_22
| ~ spl15_35
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f2335]) ).
fof(f2335,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| spl15_22
| ~ spl15_35
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f2334,f2325]) ).
fof(f2325,plain,
( identity != inverse(identity)
| ~ spl15_3
| ~ spl15_7
| spl15_22
| ~ spl15_35
| ~ spl15_38 ),
inference(forward_demodulation,[],[f517,f2304]) ).
fof(f2304,plain,
( identity = sk_c2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35
| ~ spl15_38 ),
inference(forward_demodulation,[],[f2303,f2]) ).
fof(f2303,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1530,f2280]) ).
fof(f2280,plain,
( identity = sk_c10
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1830,f2101]) ).
fof(f2101,plain,
( identity = sk_c11
| ~ spl15_3
| ~ spl15_7
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1842,f1943]) ).
fof(f1842,plain,
( sk_c11 = sk_c9
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f517,plain,
( identity != inverse(sk_c2)
| spl15_22 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl15_22
<=> identity = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f2334,plain,
( identity = inverse(identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35
| ~ spl15_38 ),
inference(forward_demodulation,[],[f2333,f2280]) ).
fof(f2333,plain,
( sk_c10 = inverse(identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_35
| ~ spl15_38 ),
inference(forward_demodulation,[],[f1242,f2304]) ).
fof(f1242,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f58,f135]) ).
fof(f2259,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20
| ~ spl15_22
| ~ spl15_36 ),
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2258,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20
| ~ spl15_22
| ~ spl15_36 ),
inference(subsumption_resolution,[],[f2235,f2055]) ).
fof(f2055,plain,
( identity = inverse(identity)
| ~ spl15_3
| ~ spl15_12
| ~ spl15_20
| ~ spl15_22 ),
inference(forward_demodulation,[],[f516,f1999]) ).
fof(f1999,plain,
( identity = sk_c2
| ~ spl15_3
| ~ spl15_12
| ~ spl15_20 ),
inference(forward_demodulation,[],[f1978,f2]) ).
fof(f1978,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_12
| ~ spl15_20 ),
inference(backward_demodulation,[],[f1530,f1966]) ).
fof(f1966,plain,
( identity = sk_c10
| ~ spl15_12
| ~ spl15_20 ),
inference(backward_demodulation,[],[f177,f504]) ).
fof(f504,plain,
( identity = sF7
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl15_20
<=> identity = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f516,plain,
( identity = inverse(sk_c2)
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f2235,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20
| ~ spl15_36 ),
inference(duplicate_literal_removal,[],[f2226]) ).
fof(f2226,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20
| ~ spl15_36 ),
inference(superposition,[],[f2153,f1]) ).
fof(f2153,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20
| ~ spl15_36 ),
inference(forward_demodulation,[],[f2152,f2038]) ).
fof(f2038,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20 ),
inference(forward_demodulation,[],[f1959,f1966]) ).
fof(f1959,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7 ),
inference(forward_demodulation,[],[f1949,f294]) ).
fof(f294,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f273,f1]) ).
fof(f1949,plain,
( sk_c10 = multiply(inverse(identity),sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f796,f1943]) ).
fof(f796,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c11)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f303,f126]) ).
fof(f126,plain,
( sk_c11 = sF5
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_1
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f303,plain,
sk_c10 = multiply(inverse(sk_c9),sF5),
inference(superposition,[],[f273,f66]) ).
fof(f66,plain,
multiply(sk_c9,sk_c10) = sF5,
introduced(function_definition,[]) ).
fof(f2152,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_20
| ~ spl15_36 ),
inference(forward_demodulation,[],[f1834,f2038]) ).
fof(f1834,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11)) )
| ~ spl15_36 ),
inference(avatar_component_clause,[],[f1833]) ).
fof(f1833,plain,
( spl15_36
<=> ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f2151,plain,
( ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20
| ~ spl15_22 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2150,plain,
( $false
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20
| ~ spl15_22 ),
inference(subsumption_resolution,[],[f2143,f2055]) ).
fof(f2143,plain,
( identity != inverse(identity)
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20 ),
inference(trivial_inequality_removal,[],[f2138]) ).
fof(f2138,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20 ),
inference(superposition,[],[f2136,f1]) ).
fof(f2136,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20 ),
inference(forward_demodulation,[],[f2135,f1943]) ).
fof(f2135,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20 ),
inference(forward_demodulation,[],[f2134,f1966]) ).
fof(f2134,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,identity) )
| ~ spl15_12
| ~ spl15_14
| ~ spl15_20 ),
inference(forward_demodulation,[],[f184,f1966]) ).
fof(f184,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl15_14
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f2133,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20
| ~ spl15_22 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2132,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20
| ~ spl15_22 ),
inference(subsumption_resolution,[],[f2117,f2055]) ).
fof(f2117,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20 ),
inference(trivial_inequality_removal,[],[f2112]) ).
fof(f2112,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20 ),
inference(superposition,[],[f2077,f1]) ).
fof(f2077,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20 ),
inference(forward_demodulation,[],[f2076,f2038]) ).
fof(f2076,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,sk_c11) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20 ),
inference(backward_demodulation,[],[f2059,f2038]) ).
fof(f2059,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| identity != multiply(X3,sk_c11) )
| ~ spl15_12
| ~ spl15_13
| ~ spl15_20 ),
inference(forward_demodulation,[],[f181,f1966]) ).
fof(f181,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c10 != multiply(X3,sk_c11) )
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl15_13
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f1995,plain,
( spl15_22
| ~ spl15_3
| ~ spl15_12
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f1976,f503,f175,f133,f515]) ).
fof(f1976,plain,
( identity = inverse(sk_c2)
| ~ spl15_3
| ~ spl15_12
| ~ spl15_20 ),
inference(backward_demodulation,[],[f1242,f1966]) ).
fof(f1962,plain,
( spl15_21
| ~ spl15_3
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f1947,f151,f133,f511]) ).
fof(f511,plain,
( spl15_21
<=> identity = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f1947,plain,
( identity = sF10
| ~ spl15_3
| ~ spl15_7 ),
inference(backward_demodulation,[],[f153,f1943]) ).
fof(f1961,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| spl15_35 ),
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f1960,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| spl15_35 ),
inference(subsumption_resolution,[],[f1959,f1831]) ).
fof(f1831,plain,
( sk_c11 != sk_c10
| spl15_35 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1903,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| spl15_28 ),
inference(avatar_contradiction_clause,[],[f1902]) ).
fof(f1902,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| spl15_28 ),
inference(subsumption_resolution,[],[f1901,f1882]) ).
fof(f1882,plain,
( identity != sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| spl15_28 ),
inference(superposition,[],[f1784,f251]) ).
fof(f1784,plain,
( identity != multiply(sk_c4,sk_c10)
| ~ spl15_3
| ~ spl15_18
| spl15_28 ),
inference(backward_demodulation,[],[f1783,f1532]) ).
fof(f1532,plain,
( sk_c4 = sk_c2
| ~ spl15_3
| ~ spl15_18 ),
inference(forward_demodulation,[],[f1530,f300]) ).
fof(f300,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_18 ),
inference(superposition,[],[f273,f255]) ).
fof(f255,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_18 ),
inference(superposition,[],[f2,f244]) ).
fof(f244,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_18 ),
inference(backward_demodulation,[],[f74,f206]) ).
fof(f206,plain,
( sk_c10 = sF9
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl15_18
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1783,plain,
( identity != multiply(sk_c2,sk_c10)
| ~ spl15_3
| spl15_28 ),
inference(forward_demodulation,[],[f571,f135]) ).
fof(f571,plain,
( identity != multiply(sk_c2,sF1)
| spl15_28 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f569,plain,
( spl15_28
<=> identity = multiply(sk_c2,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f1901,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_18 ),
inference(forward_demodulation,[],[f1899,f2]) ).
fof(f1899,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl15_2
| ~ spl15_18 ),
inference(superposition,[],[f273,f318]) ).
fof(f318,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl15_2
| ~ spl15_18 ),
inference(forward_demodulation,[],[f302,f244]) ).
fof(f1835,plain,
( ~ spl15_35
| spl15_36
| ~ spl15_5
| ~ spl15_12
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f1827,f186,f175,f142,f1833,f1829]) ).
fof(f186,plain,
( spl15_15
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X7,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f1827,plain,
( ! [X0] :
( sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c10 )
| ~ spl15_5
| ~ spl15_12
| ~ spl15_15 ),
inference(forward_demodulation,[],[f1826,f1782]) ).
fof(f1782,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_12 ),
inference(backward_demodulation,[],[f69,f177]) ).
fof(f1826,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(multiply(X0,sk_c11))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl15_5
| ~ spl15_12
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1818,f1787]) ).
fof(f1787,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_5
| ~ spl15_12 ),
inference(forward_demodulation,[],[f1529,f177]) ).
fof(f1529,plain,
( sk_c11 = multiply(sk_c11,sF7)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f319,f144]) ).
fof(f319,plain,
sk_c11 = multiply(sF3,sF7),
inference(forward_demodulation,[],[f298,f62]) ).
fof(f298,plain,
sk_c11 = multiply(inverse(sk_c1),sF7),
inference(superposition,[],[f273,f69]) ).
fof(f1818,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != inverse(multiply(X0,sk_c11))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl15_5
| ~ spl15_15 ),
inference(superposition,[],[f187,f838]) ).
fof(f838,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f62,f144]) ).
fof(f187,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1766,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_18
| spl15_20
| ~ spl15_28 ),
inference(avatar_contradiction_clause,[],[f1765]) ).
fof(f1765,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_18
| spl15_20
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f1764,f505]) ).
fof(f505,plain,
( identity != sF7
| spl15_20 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f1764,plain,
( identity = sF7
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f177,f1707]) ).
fof(f1707,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1645,f1695]) ).
fof(f1695,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1691,f1577]) ).
fof(f1577,plain,
( ! [X13] : multiply(sk_c11,X13) = X13
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1574,f1559]) ).
fof(f1559,plain,
( ! [X16] : multiply(sk_c4,multiply(sk_c11,X16)) = X16
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1545,f1546]) ).
fof(f1546,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1541,f294]) ).
fof(f1541,plain,
( sk_c10 = multiply(inverse(identity),sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f796,f1538]) ).
fof(f1538,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f251,f1537]) ).
fof(f1537,plain,
( identity = multiply(sk_c4,sk_c10)
| ~ spl15_3
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1531,f1532]) ).
fof(f1531,plain,
( identity = multiply(sk_c2,sk_c10)
| ~ spl15_3
| ~ spl15_28 ),
inference(backward_demodulation,[],[f570,f135]) ).
fof(f570,plain,
( identity = multiply(sk_c2,sF1)
| ~ spl15_28 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f1545,plain,
( ! [X16] : multiply(sk_c4,multiply(sk_c10,X16)) = X16
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1539,f1]) ).
fof(f1539,plain,
( ! [X16] : multiply(sk_c4,multiply(sk_c10,X16)) = multiply(identity,X16)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_7
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1534,f1538]) ).
fof(f1534,plain,
( ! [X16] : multiply(sk_c9,X16) = multiply(sk_c4,multiply(sk_c10,X16))
| ~ spl15_3
| ~ spl15_7
| ~ spl15_18 ),
inference(backward_demodulation,[],[f1116,f1532]) ).
fof(f1574,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c4,multiply(sk_c11,X13))
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1565,f1570]) ).
fof(f1570,plain,
( sk_c4 = sk_c5
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1567,f1556]) ).
fof(f1556,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f300,f1546]) ).
fof(f1567,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f306,f1560]) ).
fof(f1560,plain,
( sk_c11 = sk_c8
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f316,f1552]) ).
fof(f1552,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f246,f1546]) ).
fof(f246,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f93,f139]) ).
fof(f139,plain,
( sk_c11 = sF14
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl15_4
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f93,plain,
multiply(sk_c8,sk_c10) = sF14,
introduced(function_definition,[]) ).
fof(f316,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f304,f249]) ).
fof(f249,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f72,f173]) ).
fof(f173,plain,
( sk_c8 = sF8
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl15_11
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f72,plain,
inverse(sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f304,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl15_8 ),
inference(superposition,[],[f273,f252]) ).
fof(f252,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f64,f158]) ).
fof(f158,plain,
( sk_c11 = sF4
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl15_8
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f64,plain,
multiply(sk_c5,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f306,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_11 ),
inference(superposition,[],[f273,f256]) ).
fof(f256,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_11 ),
inference(superposition,[],[f2,f249]) ).
fof(f1565,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c5,multiply(sk_c11,X13))
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f268,f1560]) ).
fof(f268,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c5,multiply(sk_c8,X13))
| ~ spl15_8 ),
inference(superposition,[],[f3,f252]) ).
fof(f1691,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1637,f1645]) ).
fof(f1637,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f318,f1538]) ).
fof(f1645,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(forward_demodulation,[],[f245,f1578]) ).
fof(f1578,plain,
( ! [X10] : multiply(sk_c3,X10) = X10
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f1553,f1577]) ).
fof(f1553,plain,
( ! [X10] : multiply(sk_c3,multiply(sk_c11,X10)) = multiply(sk_c11,X10)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_10
| ~ spl15_18
| ~ spl15_28 ),
inference(backward_demodulation,[],[f265,f1546]) ).
fof(f265,plain,
( ! [X10] : multiply(sk_c3,multiply(sk_c11,X10)) = multiply(sk_c10,X10)
| ~ spl15_10 ),
inference(superposition,[],[f3,f245]) ).
fof(f245,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f67,f168]) ).
fof(f168,plain,
( sk_c10 = sF6
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl15_10
<=> sk_c10 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f67,plain,
multiply(sk_c3,sk_c11) = sF6,
introduced(function_definition,[]) ).
fof(f1025,plain,
( spl15_20
| ~ spl15_12
| ~ spl15_21
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f1024,f515,f511,f175,f503]) ).
fof(f1024,plain,
( identity = sF7
| ~ spl15_12
| ~ spl15_21
| ~ spl15_22 ),
inference(forward_demodulation,[],[f177,f851]) ).
fof(f851,plain,
( identity = sk_c10
| ~ spl15_21
| ~ spl15_22 ),
inference(forward_demodulation,[],[f850,f1]) ).
fof(f850,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_21
| ~ spl15_22 ),
inference(forward_demodulation,[],[f849,f798]) ).
fof(f798,plain,
( identity = sF1
| ~ spl15_22 ),
inference(forward_demodulation,[],[f58,f516]) ).
fof(f849,plain,
( sk_c10 = multiply(sF1,identity)
| ~ spl15_21 ),
inference(forward_demodulation,[],[f320,f512]) ).
fof(f512,plain,
( identity = sF10
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f973,plain,
( spl15_20
| ~ spl15_5
| ~ spl15_23 ),
inference(avatar_split_clause,[],[f972,f549,f142,f503]) ).
fof(f972,plain,
( identity = sF7
| ~ spl15_5
| ~ spl15_23 ),
inference(forward_demodulation,[],[f69,f948]) ).
fof(f948,plain,
( identity = multiply(sk_c1,sk_c11)
| ~ spl15_5
| ~ spl15_23 ),
inference(backward_demodulation,[],[f550,f144]) ).
fof(f550,plain,
( identity = multiply(sk_c1,sF3)
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f795,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f788,f640]) ).
fof(f640,plain,
( identity = inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f633,f639]) ).
fof(f639,plain,
( identity = sk_c3
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f636,f2]) ).
fof(f636,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(backward_demodulation,[],[f299,f477]) ).
fof(f477,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f126,f458]) ).
fof(f458,plain,
( identity = sF5
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f457,f1]) ).
fof(f457,plain,
( sF5 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f346,f380]) ).
fof(f380,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f379,f1]) ).
fof(f379,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f353,f376]) ).
fof(f376,plain,
( identity = sk_c4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(forward_demodulation,[],[f361,f2]) ).
fof(f361,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(backward_demodulation,[],[f300,f345]) ).
fof(f345,plain,
( identity = sk_c10
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f343,f2]) ).
fof(f343,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f273,f314]) ).
fof(f314,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f301,f243]) ).
fof(f243,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f82,f163]) ).
fof(f163,plain,
( sk_c11 = sF12
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl15_9
<=> sk_c11 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f82,plain,
inverse(sk_c3) = sF12,
introduced(function_definition,[]) ).
fof(f301,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c10)
| ~ spl15_10 ),
inference(superposition,[],[f273,f245]) ).
fof(f353,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f251,f345]) ).
fof(f346,plain,
( sF5 = multiply(sk_c9,identity)
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f66,f345]) ).
fof(f299,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_9 ),
inference(superposition,[],[f273,f254]) ).
fof(f254,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_9 ),
inference(superposition,[],[f2,f243]) ).
fof(f633,plain,
( identity = inverse(sk_c3)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_18 ),
inference(backward_demodulation,[],[f243,f477]) ).
fof(f788,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(duplicate_literal_removal,[],[f783]) ).
fof(f783,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(superposition,[],[f770,f1]) ).
fof(f770,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f768,f1]) ).
fof(f768,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity))
| identity != multiply(identity,identity) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(duplicate_literal_removal,[],[f763]) ).
fof(f763,plain,
( ! [X0] :
( identity != inverse(multiply(X0,identity))
| inverse(X0) != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != multiply(identity,identity) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(superposition,[],[f716,f640]) ).
fof(f716,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f715,f477]) ).
fof(f715,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| identity != multiply(inverse(X7),identity)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl15_1
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f714,f477]) ).
fof(f714,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),identity)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7))) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(forward_demodulation,[],[f187,f345]) ).
fof(f707,plain,
( spl15_21
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f706,f166,f161,f133,f511]) ).
fof(f706,plain,
( identity = sF10
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f701,f1]) ).
fof(f701,plain,
( sF10 = multiply(identity,identity)
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f347,f700]) ).
fof(f700,plain,
( identity = sk_c2
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f695,f2]) ).
fof(f695,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f311,f692]) ).
fof(f692,plain,
( identity = sF1
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f135,f345]) ).
fof(f347,plain,
( sF10 = multiply(sk_c2,identity)
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f76,f345]) ).
fof(f699,plain,
( spl15_22
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f698,f166,f161,f133,f515]) ).
fof(f698,plain,
( identity = inverse(sk_c2)
| ~ spl15_3
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f58,f692]) ).
fof(f628,plain,
( ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f627,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f626,f429]) ).
fof(f429,plain,
( identity = inverse(identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f413,f425]) ).
fof(f425,plain,
( identity = sk_c3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f375,f424]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f294,f419]) ).
fof(f419,plain,
( sk_c5 = inverse(identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f372,f407]) ).
fof(f407,plain,
( identity = sk_c11
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f399,f374]) ).
fof(f374,plain,
( identity = multiply(sk_c5,sk_c11)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f328,f369]) ).
fof(f369,plain,
( sk_c11 = sk_c7
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f321,f352]) ).
fof(f352,plain,
( sk_c11 = multiply(sk_c8,identity)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f246,f345]) ).
fof(f321,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f309,f248]) ).
fof(f248,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl15_17 ),
inference(backward_demodulation,[],[f78,f199]) ).
fof(f199,plain,
( sk_c8 = sF11
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl15_17
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f78,plain,
inverse(sk_c6) = sF11,
introduced(function_definition,[]) ).
fof(f309,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_16 ),
inference(superposition,[],[f273,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_16 ),
inference(superposition,[],[f2,f247]) ).
fof(f247,plain,
( inverse(sk_c7) = sk_c6
| ~ spl15_16 ),
inference(backward_demodulation,[],[f60,f192]) ).
fof(f192,plain,
( sk_c6 = sF2
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl15_16
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f60,plain,
inverse(sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f328,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f257,f322]) ).
fof(f322,plain,
( sk_c5 = sk_c6
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f307,f306]) ).
fof(f307,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_17 ),
inference(superposition,[],[f273,f258]) ).
fof(f258,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl15_17 ),
inference(superposition,[],[f2,f248]) ).
fof(f399,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f252,f395]) ).
fof(f395,plain,
( sk_c11 = sk_c8
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f316,f391]) ).
fof(f391,plain,
( ! [X14] : multiply(sk_c8,X14) = X14
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f386,f389]) ).
fof(f389,plain,
( ! [X13] : multiply(sk_c11,X13) = X13
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f388,f371]) ).
fof(f371,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f331,f369]) ).
fof(f331,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f280,f322]) ).
fof(f280,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl15_16 ),
inference(forward_demodulation,[],[f279,f1]) ).
fof(f279,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl15_16 ),
inference(superposition,[],[f3,f257]) ).
fof(f388,plain,
( ! [X13] : multiply(sk_c11,X13) = multiply(sk_c5,multiply(sk_c11,X13))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f268,f386]) ).
fof(f386,plain,
( ! [X14] : multiply(sk_c11,X14) = multiply(sk_c8,X14)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f358,f1]) ).
fof(f358,plain,
( ! [X14] : multiply(sk_c11,X14) = multiply(sk_c8,multiply(identity,X14))
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f269,f345]) ).
fof(f269,plain,
( ! [X14] : multiply(sk_c11,X14) = multiply(sk_c8,multiply(sk_c10,X14))
| ~ spl15_4 ),
inference(superposition,[],[f3,f246]) ).
fof(f372,plain,
( sk_c5 = inverse(sk_c11)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f325,f369]) ).
fof(f325,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f247,f322]) ).
fof(f375,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f299,f372]) ).
fof(f413,plain,
( identity = inverse(sk_c3)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f243,f407]) ).
fof(f626,plain,
( identity != inverse(identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f625,f429]) ).
fof(f625,plain,
( identity != inverse(inverse(identity))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f583,f429]) ).
fof(f583,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(superposition,[],[f547,f2]) ).
fof(f547,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f545,f1]) ).
fof(f545,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != inverse(multiply(X0,identity))
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f539,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != inverse(multiply(X0,identity))
| identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(superposition,[],[f538,f429]) ).
fof(f538,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f537,f407]) ).
fof(f537,plain,
( ! [X9,X7] :
( identity != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),identity)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f536,f345]) ).
fof(f536,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != multiply(inverse(X7),sk_c10)
| identity != multiply(X7,inverse(X7)) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f187,f407]) ).
fof(f535,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_14
| ~ spl15_16
| ~ spl15_17
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_14
| ~ spl15_16
| ~ spl15_17
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f527,f429]) ).
fof(f527,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f522]) ).
fof(f522,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_18 ),
inference(superposition,[],[f521,f1]) ).
fof(f521,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_18 ),
inference(forward_demodulation,[],[f520,f345]) ).
fof(f520,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_18 ),
inference(forward_demodulation,[],[f519,f380]) ).
fof(f519,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| sk_c10 != inverse(X6) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14 ),
inference(forward_demodulation,[],[f184,f345]) ).
fof(f529,plain,
( ~ spl15_21
| ~ spl15_22
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f526,f204,f183,f166,f161,f128,f515,f511]) ).
fof(f526,plain,
( identity != inverse(sk_c2)
| identity != sF10
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_14
| ~ spl15_18 ),
inference(superposition,[],[f521,f347]) ).
fof(f509,plain,
( ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f507,f429]) ).
fof(f507,plain,
( identity != inverse(identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f494,f429]) ).
fof(f494,plain,
( identity != inverse(inverse(identity))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f491]) ).
fof(f491,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(superposition,[],[f474,f2]) ).
fof(f474,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f473,f407]) ).
fof(f473,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c11 != inverse(X3) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f472,f345]) ).
fof(f472,plain,
( ! [X3] :
( sk_c10 != multiply(X3,identity)
| sk_c11 != inverse(X3) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_16
| ~ spl15_17 ),
inference(forward_demodulation,[],[f181,f407]) ).
fof(f460,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f458,f409]) ).
fof(f409,plain,
( identity != sF5
| spl15_1
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_16
| ~ spl15_17 ),
inference(backward_demodulation,[],[f125,f407]) ).
fof(f125,plain,
( sk_c11 != sF5
| spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f242,plain,
( spl15_2
| spl15_5 ),
inference(avatar_split_clause,[],[f116,f142,f128]) ).
fof(f116,plain,
( sk_c11 = sF3
| sk_c9 = sF13 ),
inference(definition_folding,[],[f16,f62,f85]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f241,plain,
( spl15_16
| spl15_12 ),
inference(avatar_split_clause,[],[f104,f175,f190]) ).
fof(f104,plain,
( sk_c10 = sF7
| sk_c6 = sF2 ),
inference(definition_folding,[],[f11,f69,f60]) ).
fof(f11,axiom,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f240,plain,
( spl15_1
| spl15_9 ),
inference(avatar_split_clause,[],[f83,f161,f124]) ).
fof(f83,plain,
( sk_c11 = sF12
| sk_c11 = sF5 ),
inference(definition_folding,[],[f45,f82,f66]) ).
fof(f45,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f239,plain,
( spl15_7
| spl15_9 ),
inference(avatar_split_clause,[],[f113,f161,f151]) ).
fof(f113,plain,
( sk_c11 = sF12
| sk_c9 = sF10 ),
inference(definition_folding,[],[f25,f76,f82]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f238,plain,
( spl15_1
| spl15_17 ),
inference(avatar_split_clause,[],[f112,f197,f124]) ).
fof(f112,plain,
( sk_c8 = sF11
| sk_c11 = sF5 ),
inference(definition_folding,[],[f52,f66,f78]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f237,plain,
( spl15_18
| spl15_12 ),
inference(avatar_split_clause,[],[f95,f175,f204]) ).
fof(f95,plain,
( sk_c10 = sF7
| sk_c10 = sF9 ),
inference(definition_folding,[],[f7,f69,f74]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f236,plain,
( spl15_7
| spl15_18 ),
inference(avatar_split_clause,[],[f119,f204,f151]) ).
fof(f119,plain,
( sk_c10 = sF9
| sk_c9 = sF10 ),
inference(definition_folding,[],[f27,f74,f76]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f235,plain,
( spl15_3
| spl15_16 ),
inference(avatar_split_clause,[],[f61,f190,f133]) ).
fof(f61,plain,
( sk_c6 = sF2
| sk_c10 = sF1 ),
inference(definition_folding,[],[f41,f58,f60]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f234,plain,
( spl15_4
| spl15_12 ),
inference(avatar_split_clause,[],[f120,f175,f137]) ).
fof(f120,plain,
( sk_c10 = sF7
| sk_c11 = sF14 ),
inference(definition_folding,[],[f10,f69,f93]) ).
fof(f10,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f233,plain,
( spl15_12
| spl15_8 ),
inference(avatar_split_clause,[],[f70,f156,f175]) ).
fof(f70,plain,
( sk_c11 = sF4
| sk_c10 = sF7 ),
inference(definition_folding,[],[f8,f69,f64]) ).
fof(f8,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f231,plain,
( spl15_8
| spl15_3 ),
inference(avatar_split_clause,[],[f108,f133,f156]) ).
fof(f108,plain,
( sk_c10 = sF1
| sk_c11 = sF4 ),
inference(definition_folding,[],[f38,f64,f58]) ).
fof(f38,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f230,plain,
( spl15_12
| spl15_9 ),
inference(avatar_split_clause,[],[f88,f161,f175]) ).
fof(f88,plain,
( sk_c11 = sF12
| sk_c10 = sF7 ),
inference(definition_folding,[],[f5,f69,f82]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f229,plain,
( spl15_7
| spl15_10 ),
inference(avatar_split_clause,[],[f90,f166,f151]) ).
fof(f90,plain,
( sk_c10 = sF6
| sk_c9 = sF10 ),
inference(definition_folding,[],[f24,f76,f67]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f228,plain,
( spl15_7
| spl15_2 ),
inference(avatar_split_clause,[],[f122,f128,f151]) ).
fof(f122,plain,
( sk_c9 = sF13
| sk_c9 = sF10 ),
inference(definition_folding,[],[f26,f76,f85]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f227,plain,
( spl15_1
| spl15_8 ),
inference(avatar_split_clause,[],[f103,f156,f124]) ).
fof(f103,plain,
( sk_c11 = sF4
| sk_c11 = sF5 ),
inference(definition_folding,[],[f48,f66,f64]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f226,plain,
( spl15_12
| spl15_2 ),
inference(avatar_split_clause,[],[f115,f128,f175]) ).
fof(f115,plain,
( sk_c9 = sF13
| sk_c10 = sF7 ),
inference(definition_folding,[],[f6,f69,f85]) ).
fof(f6,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f225,plain,
( spl15_1
| spl15_18 ),
inference(avatar_split_clause,[],[f111,f204,f124]) ).
fof(f111,plain,
( sk_c10 = sF9
| sk_c11 = sF5 ),
inference(definition_folding,[],[f47,f66,f74]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f224,plain,
( spl15_8
| spl15_5 ),
inference(avatar_split_clause,[],[f65,f142,f156]) ).
fof(f65,plain,
( sk_c11 = sF3
| sk_c11 = sF4 ),
inference(definition_folding,[],[f18,f64,f62]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f223,plain,
( spl15_16
| spl15_7 ),
inference(avatar_split_clause,[],[f91,f151,f190]) ).
fof(f91,plain,
( sk_c9 = sF10
| sk_c6 = sF2 ),
inference(definition_folding,[],[f31,f60,f76]) ).
fof(f31,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f222,plain,
( spl15_10
| spl15_5 ),
inference(avatar_split_clause,[],[f121,f142,f166]) ).
fof(f121,plain,
( sk_c11 = sF3
| sk_c10 = sF6 ),
inference(definition_folding,[],[f14,f67,f62]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f221,plain,
( spl15_7
| spl15_17 ),
inference(avatar_split_clause,[],[f118,f197,f151]) ).
fof(f118,plain,
( sk_c8 = sF11
| sk_c9 = sF10 ),
inference(definition_folding,[],[f32,f78,f76]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f220,plain,
( spl15_9
| spl15_5 ),
inference(avatar_split_clause,[],[f117,f142,f161]) ).
fof(f117,plain,
( sk_c11 = sF3
| sk_c11 = sF12 ),
inference(definition_folding,[],[f15,f82,f62]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f219,plain,
( spl15_11
| spl15_3 ),
inference(avatar_split_clause,[],[f96,f133,f171]) ).
fof(f96,plain,
( sk_c10 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f39,f58,f72]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f218,plain,
( spl15_18
| spl15_3 ),
inference(avatar_split_clause,[],[f75,f133,f204]) ).
fof(f75,plain,
( sk_c10 = sF1
| sk_c10 = sF9 ),
inference(definition_folding,[],[f37,f58,f74]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f217,plain,
( spl15_7
| spl15_11 ),
inference(avatar_split_clause,[],[f100,f171,f151]) ).
fof(f100,plain,
( sk_c8 = sF8
| sk_c9 = sF10 ),
inference(definition_folding,[],[f29,f76,f72]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f216,plain,
( spl15_17
| spl15_3 ),
inference(avatar_split_clause,[],[f79,f133,f197]) ).
fof(f79,plain,
( sk_c10 = sF1
| sk_c8 = sF11 ),
inference(definition_folding,[],[f42,f58,f78]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f213,plain,
( spl15_3
| spl15_10 ),
inference(avatar_split_clause,[],[f87,f166,f133]) ).
fof(f87,plain,
( sk_c10 = sF6
| sk_c10 = sF1 ),
inference(definition_folding,[],[f34,f58,f67]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f212,plain,
( spl15_10
| spl15_12 ),
inference(avatar_split_clause,[],[f106,f175,f166]) ).
fof(f106,plain,
( sk_c10 = sF7
| sk_c10 = sF6 ),
inference(definition_folding,[],[f4,f69,f67]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f211,plain,
( spl15_4
| spl15_7 ),
inference(avatar_split_clause,[],[f102,f151,f137]) ).
fof(f102,plain,
( sk_c9 = sF10
| sk_c11 = sF14 ),
inference(definition_folding,[],[f30,f93,f76]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f210,plain,
( spl15_17
| spl15_12 ),
inference(avatar_split_clause,[],[f107,f175,f197]) ).
fof(f107,plain,
( sk_c10 = sF7
| sk_c8 = sF11 ),
inference(definition_folding,[],[f12,f69,f78]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f209,plain,
( spl15_2
| spl15_3 ),
inference(avatar_split_clause,[],[f89,f133,f128]) ).
fof(f89,plain,
( sk_c10 = sF1
| sk_c9 = sF13 ),
inference(definition_folding,[],[f36,f58,f85]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f208,plain,
( spl15_4
| spl15_1 ),
inference(avatar_split_clause,[],[f114,f124,f137]) ).
fof(f114,plain,
( sk_c11 = sF5
| sk_c11 = sF14 ),
inference(definition_folding,[],[f50,f66,f93]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f207,plain,
( spl15_18
| spl15_5 ),
inference(avatar_split_clause,[],[f97,f142,f204]) ).
fof(f97,plain,
( sk_c11 = sF3
| sk_c10 = sF9 ),
inference(definition_folding,[],[f17,f62,f74]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f202,plain,
( spl15_11
| spl15_1 ),
inference(avatar_split_clause,[],[f110,f124,f171]) ).
fof(f110,plain,
( sk_c11 = sF5
| sk_c8 = sF8 ),
inference(definition_folding,[],[f49,f72,f66]) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f195,plain,
( spl15_16
| spl15_1 ),
inference(avatar_split_clause,[],[f98,f124,f190]) ).
fof(f98,plain,
( sk_c11 = sF5
| sk_c6 = sF2 ),
inference(definition_folding,[],[f51,f66,f60]) ).
fof(f51,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f194,plain,
( spl15_11
| spl15_5 ),
inference(avatar_split_clause,[],[f73,f142,f171]) ).
fof(f73,plain,
( sk_c11 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f19,f72,f62]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f188,plain,
( spl15_13
| spl15_14
| spl15_14
| spl15_13
| ~ spl15_1
| spl15_15 ),
inference(avatar_split_clause,[],[f71,f186,f124,f180,f183,f183,f180]) ).
fof(f71,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != sF5
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X3)
| sk_c10 != inverse(X6)
| inverse(X9) != multiply(X9,inverse(X7)) ),
inference(definition_folding,[],[f56,f66]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X4)
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sk_c11 != inverse(X5) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| inverse(X9) != multiply(X9,X8)
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X4)
| inverse(X7) != X8
| inverse(multiply(X9,X8)) != X8
| sk_c11 != inverse(X5) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| multiply(X9,X8) != X10
| inverse(X9) != X10
| sk_c11 != inverse(X3)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X4)
| inverse(X7) != X8
| inverse(X10) != X8
| sk_c11 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f178,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f109,f175,f171]) ).
fof(f109,plain,
( sk_c10 = sF7
| sk_c8 = sF8 ),
inference(definition_folding,[],[f9,f72,f69]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f169,plain,
( spl15_10
| spl15_1 ),
inference(avatar_split_clause,[],[f68,f124,f166]) ).
fof(f68,plain,
( sk_c11 = sF5
| sk_c10 = sF6 ),
inference(definition_folding,[],[f44,f67,f66]) ).
fof(f44,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f164,plain,
( spl15_9
| spl15_3 ),
inference(avatar_split_clause,[],[f92,f133,f161]) ).
fof(f92,plain,
( sk_c10 = sF1
| sk_c11 = sF12 ),
inference(definition_folding,[],[f35,f58,f82]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f159,plain,
( spl15_8
| spl15_7 ),
inference(avatar_split_clause,[],[f77,f151,f156]) ).
fof(f77,plain,
( sk_c9 = sF10
| sk_c11 = sF4 ),
inference(definition_folding,[],[f28,f64,f76]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f145,plain,
( spl15_4
| spl15_5 ),
inference(avatar_split_clause,[],[f105,f142,f137]) ).
fof(f105,plain,
( sk_c11 = sF3
| sk_c11 = sF14 ),
inference(definition_folding,[],[f20,f93,f62]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f140,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f94,f137,f133]) ).
fof(f94,plain,
( sk_c11 = sF14
| sk_c10 = sF1 ),
inference(definition_folding,[],[f40,f93,f58]) ).
fof(f40,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f86,f128,f124]) ).
fof(f86,plain,
( sk_c9 = sF13
| sk_c11 = sF5 ),
inference(definition_folding,[],[f46,f85,f66]) ).
fof(f46,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP263-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:20:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (17254)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (17245)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (17243)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (17263)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (17255)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (17256)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (17242)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51 % (17242)Refutation not found, incomplete strategy% (17242)------------------------------
% 0.19/0.51 % (17242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17242)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (17242)Memory used [KB]: 5884
% 0.19/0.51 % (17242)Time elapsed: 0.109 s
% 0.19/0.51 % (17242)Instructions burned: 6 (million)
% 0.19/0.51 % (17242)------------------------------
% 0.19/0.51 % (17242)------------------------------
% 1.22/0.51 % (17260)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.22/0.51 % (17248)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.22/0.51 % (17263)Refutation not found, incomplete strategy% (17263)------------------------------
% 1.22/0.51 % (17263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.51 % (17263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.51 % (17263)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.51
% 1.22/0.51 % (17263)Memory used [KB]: 5884
% 1.22/0.51 % (17263)Time elapsed: 0.069 s
% 1.22/0.51 % (17263)Instructions burned: 5 (million)
% 1.22/0.51 % (17263)------------------------------
% 1.22/0.51 % (17263)------------------------------
% 1.22/0.51 % (17239)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.22/0.52 % (17264)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.22/0.52 % (17247)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.22/0.52 % (17259)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.22/0.52 % (17252)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.22/0.52 % (17256)Instruction limit reached!
% 1.22/0.52 % (17256)------------------------------
% 1.22/0.52 % (17256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.52 % (17255)Instruction limit reached!
% 1.22/0.52 % (17255)------------------------------
% 1.22/0.52 % (17255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.52 % (17255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.52 % (17255)Termination reason: Unknown
% 1.22/0.52 % (17255)Termination phase: Finite model building preprocessing
% 1.22/0.52
% 1.22/0.52 % (17255)Memory used [KB]: 1407
% 1.22/0.52 % (17255)Time elapsed: 0.007 s
% 1.22/0.52 % (17255)Instructions burned: 6 (million)
% 1.22/0.52 % (17255)------------------------------
% 1.22/0.52 % (17255)------------------------------
% 1.22/0.52 % (17247)Instruction limit reached!
% 1.22/0.52 % (17247)------------------------------
% 1.22/0.52 % (17247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.52 % (17247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.52 % (17247)Termination reason: Unknown
% 1.22/0.52 % (17247)Termination phase: Saturation
% 1.22/0.52
% 1.22/0.52 % (17247)Memory used [KB]: 1279
% 1.22/0.52 % (17247)Time elapsed: 0.004 s
% 1.22/0.52 % (17247)Instructions burned: 3 (million)
% 1.22/0.52 % (17247)------------------------------
% 1.22/0.52 % (17247)------------------------------
% 1.22/0.52 % (17240)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.22/0.52 % (17250)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.22/0.52 % (17256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.52 % (17256)Termination reason: Unknown
% 1.22/0.52 % (17256)Termination phase: Saturation
% 1.22/0.52
% 1.22/0.52 % (17256)Memory used [KB]: 1279
% 1.22/0.52 % (17256)Time elapsed: 0.003 s
% 1.22/0.52 % (17256)Instructions burned: 2 (million)
% 1.22/0.52 % (17256)------------------------------
% 1.22/0.52 % (17256)------------------------------
% 1.22/0.52 % (17241)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.22/0.52 % (17262)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.22/0.53 % (17267)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.22/0.53 % (17244)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.22/0.53 % (17241)Instruction limit reached!
% 1.22/0.53 % (17241)------------------------------
% 1.22/0.53 % (17241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.53 % (17241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.53 % (17241)Termination reason: Unknown
% 1.22/0.53 % (17241)Termination phase: Saturation
% 1.22/0.53
% 1.22/0.53 % (17241)Memory used [KB]: 5884
% 1.22/0.53 % (17241)Time elapsed: 0.003 s
% 1.22/0.53 % (17241)Instructions burned: 5 (million)
% 1.22/0.53 % (17241)------------------------------
% 1.22/0.53 % (17241)------------------------------
% 1.34/0.53 % (17268)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.34/0.53 % (17259)Instruction limit reached!
% 1.34/0.53 % (17259)------------------------------
% 1.34/0.53 % (17259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (17260)Instruction limit reached!
% 1.34/0.53 % (17260)------------------------------
% 1.34/0.53 % (17260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (17260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (17260)Termination reason: Unknown
% 1.34/0.53 % (17260)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (17260)Memory used [KB]: 1407
% 1.34/0.53 % (17260)Time elapsed: 0.005 s
% 1.34/0.53 % (17260)Instructions burned: 6 (million)
% 1.34/0.53 % (17260)------------------------------
% 1.34/0.53 % (17260)------------------------------
% 1.34/0.53 % (17259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (17259)Termination reason: Unknown
% 1.34/0.53 % (17259)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (17259)Memory used [KB]: 6012
% 1.34/0.53 % (17259)Time elapsed: 0.127 s
% 1.34/0.53 % (17259)Instructions burned: 8 (million)
% 1.34/0.53 % (17259)------------------------------
% 1.34/0.53 % (17259)------------------------------
% 1.34/0.53 % (17252)Instruction limit reached!
% 1.34/0.53 % (17252)------------------------------
% 1.34/0.53 % (17252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (17252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (17252)Termination reason: Unknown
% 1.34/0.53 % (17252)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (17252)Memory used [KB]: 6012
% 1.34/0.53 % (17252)Time elapsed: 0.125 s
% 1.34/0.53 % (17252)Instructions burned: 5 (million)
% 1.34/0.53 % (17252)------------------------------
% 1.34/0.53 % (17252)------------------------------
% 1.34/0.54 % (17265)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.34/0.54 % (17254)Instruction limit reached!
% 1.34/0.54 % (17254)------------------------------
% 1.34/0.54 % (17254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (17254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (17254)Termination reason: Unknown
% 1.34/0.54 % (17254)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (17254)Memory used [KB]: 1663
% 1.34/0.54 % (17254)Time elapsed: 0.129 s
% 1.34/0.54 % (17254)Instructions burned: 30 (million)
% 1.34/0.54 % (17254)------------------------------
% 1.34/0.54 % (17254)------------------------------
% 1.34/0.54 % (17269)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.54 % (17258)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.34/0.54 % (17261)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.34/0.54 % (17257)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.34/0.54 % (17253)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.34/0.54 % (17261)Refutation not found, incomplete strategy% (17261)------------------------------
% 1.34/0.54 % (17261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (17261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (17261)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.54
% 1.34/0.54 % (17261)Memory used [KB]: 5884
% 1.34/0.54 % (17261)Time elapsed: 0.139 s
% 1.34/0.54 % (17261)Instructions burned: 5 (million)
% 1.34/0.54 % (17261)------------------------------
% 1.34/0.54 % (17261)------------------------------
% 1.34/0.55 % (17249)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.34/0.55 % (17266)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.34/0.55 % (17243)Instruction limit reached!
% 1.34/0.55 % (17243)------------------------------
% 1.34/0.55 % (17243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (17243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (17243)Termination reason: Unknown
% 1.34/0.55 % (17243)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (17243)Memory used [KB]: 6396
% 1.34/0.55 % (17243)Time elapsed: 0.137 s
% 1.34/0.55 % (17243)Instructions burned: 35 (million)
% 1.34/0.55 % (17243)------------------------------
% 1.34/0.55 % (17243)------------------------------
% 1.34/0.55 % (17253)Instruction limit reached!
% 1.34/0.55 % (17253)------------------------------
% 1.34/0.55 % (17253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (17268)Instruction limit reached!
% 1.34/0.55 % (17268)------------------------------
% 1.34/0.55 % (17268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (17253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (17253)Termination reason: Unknown
% 1.34/0.55 % (17253)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (17253)Memory used [KB]: 5884
% 1.34/0.55 % (17253)Time elapsed: 0.004 s
% 1.34/0.55 % (17253)Instructions burned: 3 (million)
% 1.34/0.55 % (17253)------------------------------
% 1.34/0.55 % (17253)------------------------------
% 1.34/0.55 % (17268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (17268)Termination reason: Unknown
% 1.34/0.55 % (17268)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (17268)Memory used [KB]: 6140
% 1.34/0.55 % (17268)Time elapsed: 0.142 s
% 1.34/0.55 % (17268)Instructions burned: 20 (million)
% 1.34/0.55 % (17268)------------------------------
% 1.34/0.55 % (17268)------------------------------
% 1.34/0.55 % (17266)Refutation not found, incomplete strategy% (17266)------------------------------
% 1.34/0.55 % (17266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (17266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (17266)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.55
% 1.34/0.55 % (17266)Memory used [KB]: 6012
% 1.34/0.55 % (17266)Time elapsed: 0.146 s
% 1.34/0.55 % (17266)Instructions burned: 6 (million)
% 1.34/0.55 % (17266)------------------------------
% 1.34/0.55 % (17266)------------------------------
% 1.34/0.55 % (17257)Instruction limit reached!
% 1.34/0.55 % (17257)------------------------------
% 1.34/0.55 % (17257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (17257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (17257)Termination reason: Unknown
% 1.34/0.55 % (17257)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (17257)Memory used [KB]: 6012
% 1.34/0.55 % (17257)Time elapsed: 0.147 s
% 1.34/0.55 % (17257)Instructions burned: 9 (million)
% 1.34/0.55 % (17257)------------------------------
% 1.34/0.55 % (17257)------------------------------
% 1.34/0.55 % (17246)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.55 % (17244)Instruction limit reached!
% 1.34/0.55 % (17244)------------------------------
% 1.34/0.55 % (17244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (17244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (17244)Termination reason: Unknown
% 1.34/0.55 % (17244)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (17244)Memory used [KB]: 6268
% 1.34/0.55 % (17244)Time elapsed: 0.139 s
% 1.34/0.55 % (17244)Instructions burned: 26 (million)
% 1.34/0.55 % (17244)------------------------------
% 1.34/0.55 % (17244)------------------------------
% 1.34/0.56 % (17249)Instruction limit reached!
% 1.34/0.56 % (17249)------------------------------
% 1.34/0.56 % (17249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (17249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (17249)Termination reason: Unknown
% 1.34/0.56 % (17249)Termination phase: Saturation
% 1.34/0.56
% 1.34/0.56 % (17249)Memory used [KB]: 5884
% 1.34/0.56 % (17249)Time elapsed: 0.149 s
% 1.34/0.56 % (17249)Instructions burned: 6 (million)
% 1.34/0.56 % (17249)------------------------------
% 1.34/0.56 % (17249)------------------------------
% 1.34/0.56 % (17250)Instruction limit reached!
% 1.34/0.56 % (17250)------------------------------
% 1.34/0.56 % (17250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (17250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (17250)Termination reason: Unknown
% 1.34/0.56 % (17250)Termination phase: Saturation
% 1.34/0.56
% 1.34/0.56 % (17250)Memory used [KB]: 6396
% 1.34/0.56 % (17250)Time elapsed: 0.134 s
% 1.34/0.56 % (17250)Instructions burned: 25 (million)
% 1.34/0.56 % (17250)------------------------------
% 1.34/0.56 % (17250)------------------------------
% 1.34/0.56 % (17265)Refutation not found, incomplete strategy% (17265)------------------------------
% 1.34/0.56 % (17265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (17265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (17265)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.56
% 1.34/0.56 % (17265)Memory used [KB]: 6140
% 1.34/0.56 % (17265)Time elapsed: 0.141 s
% 1.34/0.56 % (17265)Instructions burned: 16 (million)
% 1.34/0.56 % (17265)------------------------------
% 1.34/0.56 % (17265)------------------------------
% 1.34/0.57 % (17245)Instruction limit reached!
% 1.34/0.57 % (17245)------------------------------
% 1.34/0.57 % (17245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.57 % (17245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.57 % (17245)Termination reason: Unknown
% 1.34/0.57 % (17245)Termination phase: Saturation
% 1.34/0.57
% 1.34/0.57 % (17245)Memory used [KB]: 1663
% 1.34/0.57 % (17245)Time elapsed: 0.158 s
% 1.34/0.57 % (17245)Instructions burned: 49 (million)
% 1.34/0.57 % (17245)------------------------------
% 1.34/0.57 % (17245)------------------------------
% 1.34/0.58 % (17258)Instruction limit reached!
% 1.34/0.58 % (17258)------------------------------
% 1.34/0.58 % (17258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.58 % (17258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.58 % (17258)Termination reason: Unknown
% 1.34/0.58 % (17258)Termination phase: Saturation
% 1.34/0.58
% 1.34/0.58 % (17258)Memory used [KB]: 10874
% 1.34/0.58 % (17258)Time elapsed: 0.171 s
% 1.34/0.58 % (17258)Instructions burned: 28 (million)
% 1.34/0.58 % (17258)------------------------------
% 1.34/0.58 % (17258)------------------------------
% 1.34/0.58 % (17264)Instruction limit reached!
% 1.34/0.58 % (17264)------------------------------
% 1.34/0.58 % (17264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.58 % (17264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.58 % (17264)Termination reason: Unknown
% 1.34/0.58 % (17264)Termination phase: Saturation
% 1.34/0.58
% 1.34/0.58 % (17264)Memory used [KB]: 6780
% 1.34/0.58 % (17264)Time elapsed: 0.156 s
% 1.34/0.58 % (17264)Instructions burned: 46 (million)
% 1.34/0.58 % (17264)------------------------------
% 1.34/0.58 % (17264)------------------------------
% 1.34/0.58 % (17240)Instruction limit reached!
% 1.34/0.58 % (17240)------------------------------
% 1.34/0.58 % (17240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.58 % (17240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.58 % (17240)Termination reason: Unknown
% 1.34/0.58 % (17240)Termination phase: Saturation
% 1.34/0.58
% 1.34/0.58 % (17240)Memory used [KB]: 1791
% 1.34/0.58 % (17240)Time elapsed: 0.171 s
% 1.34/0.58 % (17240)Instructions burned: 43 (million)
% 1.34/0.58 % (17240)------------------------------
% 1.34/0.58 % (17240)------------------------------
% 1.34/0.60 % (17267)Instruction limit reached!
% 1.34/0.60 % (17267)------------------------------
% 1.34/0.60 % (17267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.61 % (17267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.61 % (17267)Termination reason: Unknown
% 1.34/0.61 % (17267)Termination phase: Saturation
% 1.34/0.61
% 1.34/0.61 % (17267)Memory used [KB]: 1791
% 1.34/0.61 % (17267)Time elapsed: 0.199 s
% 1.34/0.61 % (17267)Instructions burned: 75 (million)
% 1.34/0.61 % (17267)------------------------------
% 1.34/0.61 % (17267)------------------------------
% 1.34/0.61 % (17248)Instruction limit reached!
% 1.34/0.61 % (17248)------------------------------
% 1.34/0.61 % (17248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.61 % (17248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.61 % (17248)Termination reason: Unknown
% 1.34/0.61 % (17248)Termination phase: Saturation
% 1.34/0.61
% 1.34/0.61 % (17248)Memory used [KB]: 7036
% 1.34/0.61 % (17248)Time elapsed: 0.208 s
% 1.34/0.61 % (17248)Instructions burned: 51 (million)
% 1.34/0.61 % (17248)------------------------------
% 1.34/0.61 % (17248)------------------------------
% 1.34/0.62 % (17246)Instruction limit reached!
% 1.34/0.62 % (17246)------------------------------
% 1.34/0.62 % (17246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.62 % (17246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.62 % (17246)Termination reason: Unknown
% 1.34/0.62 % (17246)Termination phase: Saturation
% 1.34/0.62
% 1.34/0.62 % (17246)Memory used [KB]: 6652
% 1.34/0.62 % (17246)Time elapsed: 0.212 s
% 1.34/0.62 % (17246)Instructions burned: 52 (million)
% 1.34/0.62 % (17246)------------------------------
% 1.34/0.62 % (17246)------------------------------
% 1.86/0.64 % (17323)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.86/0.64 % (17335)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 1.86/0.65 % (17330)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.86/0.65 % (17327)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 1.86/0.65 % (17336)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 1.86/0.65 % (17322)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 1.86/0.65 % (17324)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.86/0.65 % (17324)Instruction limit reached!
% 1.86/0.65 % (17324)------------------------------
% 1.86/0.65 % (17324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.65 % (17324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.65 % (17324)Termination reason: Unknown
% 1.86/0.65 % (17324)Termination phase: Saturation
% 1.86/0.65
% 1.86/0.65 % (17324)Memory used [KB]: 1279
% 1.86/0.65 % (17324)Time elapsed: 0.002 s
% 1.86/0.65 % (17324)Instructions burned: 3 (million)
% 1.86/0.65 % (17324)------------------------------
% 1.86/0.65 % (17324)------------------------------
% 1.86/0.66 % (17334)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.86/0.66 % (17323)Refutation not found, incomplete strategy% (17323)------------------------------
% 1.86/0.66 % (17323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.66 % (17333)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.86/0.67 TRYING [1]
% 1.86/0.67 TRYING [2]
% 1.86/0.67 % (17341)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/151Mi)
% 1.86/0.67 % (17323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.67 % (17323)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.67
% 1.86/0.67 % (17323)Memory used [KB]: 6140
% 1.86/0.67 % (17323)Time elapsed: 0.089 s
% 1.86/0.67 % (17323)Instructions burned: 11 (million)
% 1.86/0.67 % (17323)------------------------------
% 1.86/0.67 % (17323)------------------------------
% 1.86/0.67 TRYING [3]
% 1.86/0.67 % (17322)Instruction limit reached!
% 1.86/0.67 % (17322)------------------------------
% 1.86/0.67 % (17322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.67 % (17322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.67 % (17322)Termination reason: Unknown
% 1.86/0.67 % (17322)Termination phase: Saturation
% 1.86/0.67
% 1.86/0.67 % (17322)Memory used [KB]: 6140
% 1.86/0.67 % (17322)Time elapsed: 0.115 s
% 1.86/0.67 % (17322)Instructions burned: 14 (million)
% 1.86/0.67 % (17322)------------------------------
% 1.86/0.67 % (17322)------------------------------
% 1.86/0.67 % (17239)First to succeed.
% 1.86/0.67 % (17262)Instruction limit reached!
% 1.86/0.67 % (17262)------------------------------
% 1.86/0.67 % (17262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.67 % (17344)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/147Mi)
% 1.86/0.68 % (17360)lrs+1011_1:1_aac=none:drc=off:fsr=off:nwc=2.0:sp=occurrence:ss=included:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.86/0.68 % (17262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.68 % (17262)Termination reason: Unknown
% 1.86/0.68 % (17239)Refutation found. Thanks to Tanya!
% 1.86/0.68 % SZS status Unsatisfiable for theBenchmark
% 1.86/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.68 % (17239)------------------------------
% 1.86/0.68 % (17239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.68 % (17239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.68 % (17239)Termination reason: Refutation
% 1.86/0.68
% 1.86/0.68 % (17239)Memory used [KB]: 6908
% 1.86/0.68 % (17239)Time elapsed: 0.237 s
% 1.86/0.68 % (17239)Instructions burned: 81 (million)
% 1.86/0.68 % (17239)------------------------------
% 1.86/0.68 % (17239)------------------------------
% 1.86/0.68 % (17234)Success in time 0.313 s
%------------------------------------------------------------------------------