TSTP Solution File: GRP269-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP269-1 : 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 : n007.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 16:15:07 EDT 2022
% Result : Unsatisfiable 2.70s 0.80s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 82
% Syntax : Number of formulae : 426 ( 32 unt; 0 def)
% Number of atoms : 1905 ( 567 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2879 (1400 ~;1458 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 105 ( 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2404,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f145,f150,f155,f164,f165,f170,f175,f176,f181,f186,f187,f188,f190,f195,f196,f201,f203,f204,f205,f206,f207,f208,f210,f211,f213,f215,f217,f218,f219,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f245,f492,f570,f587,f663,f676,f1119,f1508,f1511,f1665,f1683,f1727,f1827,f2000,f2135,f2367]) ).
fof(f2367,plain,
( ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19 ),
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19 ),
inference(subsumption_resolution,[],[f2070,f2349]) ).
fof(f2349,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19 ),
inference(trivial_inequality_removal,[],[f2343]) ).
fof(f2343,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19 ),
inference(superposition,[],[f2263,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2263,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_19 ),
inference(backward_demodulation,[],[f2090,f2098]) ).
fof(f2098,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f194,f2097]) ).
fof(f2097,plain,
( identity = sF4
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f2096,f1]) ).
fof(f2096,plain,
( multiply(identity,identity) = sF4
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f2095,f2067]) ).
fof(f2067,plain,
( identity = sk_c3
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f2063,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f2063,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f1085,f2059]) ).
fof(f2059,plain,
( identity = sF13
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f185,f1880]) ).
fof(f1880,plain,
( identity = sk_c11
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(forward_demodulation,[],[f248,f1864]) ).
fof(f1864,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f1840,f1860]) ).
fof(f1860,plain,
( sk_c8 = sk_c7
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f1856,f1839]) ).
fof(f1839,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f679,f1837]) ).
fof(f1837,plain,
( sk_c5 = sF6
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f169,f325]) ).
fof(f325,plain,
( sk_c5 = sk_c6
| ~ spl15_2
| ~ spl15_9 ),
inference(forward_demodulation,[],[f310,f309]) ).
fof(f309,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_2 ),
inference(superposition,[],[f275,f259]) ).
fof(f259,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_2 ),
inference(superposition,[],[f2,f255]) ).
fof(f255,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f61,f130]) ).
fof(f130,plain,
( sk_c8 = sF3
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f61,plain,
inverse(sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f275,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f265,f1]) ).
fof(f265,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f310,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_9 ),
inference(superposition,[],[f275,f261]) ).
fof(f261,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl15_9 ),
inference(superposition,[],[f2,f253]) ).
fof(f253,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f57,f163]) ).
fof(f163,plain,
( sk_c8 = sF0
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl15_9
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f57,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f169,plain,
( sk_c6 = sF6
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl15_10
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f679,plain,
( sk_c8 = multiply(sF6,sk_c5)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(forward_demodulation,[],[f339,f66]) ).
fof(f66,plain,
inverse(sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f339,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c5)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(superposition,[],[f275,f328]) ).
fof(f328,plain,
( sk_c5 = multiply(sk_c7,sk_c8)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(backward_demodulation,[],[f250,f325]) ).
fof(f250,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f87,f154]) ).
fof(f154,plain,
( sk_c6 = sF14
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl15_7
<=> sk_c6 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f87,plain,
multiply(sk_c7,sk_c8) = sF14,
introduced(function_definition,[]) ).
fof(f1856,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1855,f1852]) ).
fof(f1852,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f1842,f255]) ).
fof(f1842,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f883,f1837]) ).
fof(f883,plain,
sk_c7 = multiply(inverse(sF6),identity),
inference(superposition,[],[f275,f852]) ).
fof(f852,plain,
identity = multiply(sF6,sk_c7),
inference(superposition,[],[f2,f66]) ).
fof(f1855,plain,
( multiply(sk_c8,identity) = multiply(sk_c5,sk_c5)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f1577,f1853]) ).
fof(f1853,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f1789,f1844]) ).
fof(f1844,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f1580,f1837]) ).
fof(f1580,plain,
( ! [X0] : multiply(sF6,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(forward_demodulation,[],[f1578,f66]) ).
fof(f1578,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c5,X0)) = multiply(sk_c8,X0)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(superposition,[],[f275,f333]) ).
fof(f333,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c8,X14)) = multiply(sk_c5,X14)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(backward_demodulation,[],[f272,f325]) ).
fof(f272,plain,
( ! [X14] : multiply(sk_c7,multiply(sk_c8,X14)) = multiply(sk_c6,X14)
| ~ spl15_7 ),
inference(superposition,[],[f3,f250]) ).
fof(f1789,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(superposition,[],[f333,f281]) ).
fof(f281,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl15_2 ),
inference(forward_demodulation,[],[f280,f1]) ).
fof(f280,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl15_2 ),
inference(superposition,[],[f3,f259]) ).
fof(f1577,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c5)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9 ),
inference(superposition,[],[f333,f259]) ).
fof(f1840,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f852,f1837]) ).
fof(f248,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f83,f200]) ).
fof(f200,plain,
( sk_c11 = sF12
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl15_15
<=> sk_c11 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f83,plain,
multiply(sk_c5,sk_c8) = sF12,
introduced(function_definition,[]) ).
fof(f185,plain,
( sk_c11 = sF13
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl15_13
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f1085,plain,
sk_c3 = multiply(inverse(sF13),identity),
inference(superposition,[],[f275,f1041]) ).
fof(f1041,plain,
identity = multiply(sF13,sk_c3),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[]) ).
fof(f2095,plain,
( multiply(sk_c3,identity) = sF4
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(forward_demodulation,[],[f63,f1880]) ).
fof(f63,plain,
multiply(sk_c3,sk_c11) = sF4,
introduced(function_definition,[]) ).
fof(f194,plain,
( sk_c10 = sF4
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl15_14
<=> sk_c10 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f2090,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_19 ),
inference(forward_demodulation,[],[f2089,f1880]) ).
fof(f2089,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15
| ~ spl15_19 ),
inference(forward_demodulation,[],[f244,f1880]) ).
fof(f244,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl15_19
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f2070,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f2060,f2067]) ).
fof(f2060,plain,
( identity = inverse(sk_c3)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f85,f2059]) ).
fof(f2135,plain,
( spl15_22
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f2134,f198,f172,f167,f161,f152,f128,f558]) ).
fof(f558,plain,
( spl15_22
<=> identity = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f172,plain,
( spl15_11
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f2134,plain,
( identity = inverse(sk_c1)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_11
| ~ spl15_15 ),
inference(forward_demodulation,[],[f668,f1880]) ).
fof(f668,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f65,f174]) ).
fof(f174,plain,
( sk_c11 = sF5
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f65,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f2000,plain,
( spl15_1
| ~ spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(avatar_contradiction_clause,[],[f1999]) ).
fof(f1999,plain,
( $false
| spl15_1
| ~ spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_8
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(subsumption_resolution,[],[f1998,f1989]) ).
fof(f1989,plain,
( identity = sk_c9
| ~ spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1983,f1]) ).
fof(f1983,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(backward_demodulation,[],[f1951,f1982]) ).
fof(f1982,plain,
( identity = sk_c4
| ~ spl15_3
| ~ spl15_5
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1981,f2]) ).
fof(f1981,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_5
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f304,f1892]) ).
fof(f1892,plain,
( identity = sk_c10
| ~ spl15_3
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1891,f1]) ).
fof(f1891,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_3
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1890,f563]) ).
fof(f563,plain,
( identity = sk_c1
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f562,plain,
( spl15_23
<=> identity = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f1890,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl15_3
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1103,f1874]) ).
fof(f1874,plain,
( identity = sk_c11
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1873,f1517]) ).
fof(f1517,plain,
( identity = inverse(identity)
| ~ spl15_22
| ~ spl15_23 ),
inference(backward_demodulation,[],[f559,f563]) ).
fof(f559,plain,
( identity = inverse(sk_c1)
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f1873,plain,
( sk_c11 = inverse(identity)
| ~ spl15_11
| ~ spl15_23 ),
inference(forward_demodulation,[],[f668,f563]) ).
fof(f1103,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_3 ),
inference(backward_demodulation,[],[f72,f135]) ).
fof(f135,plain,
( sk_c10 = sF9
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl15_3
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f72,plain,
multiply(sk_c1,sk_c11) = sF9,
introduced(function_definition,[]) ).
fof(f304,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_5 ),
inference(superposition,[],[f275,f258]) ).
fof(f258,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_5 ),
inference(superposition,[],[f2,f247]) ).
fof(f247,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f75,f144]) ).
fof(f144,plain,
( sk_c10 = sF11
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_5
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f75,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[]) ).
fof(f1951,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f249,f1892]) ).
fof(f249,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl15_4 ),
inference(backward_demodulation,[],[f73,f139]) ).
fof(f139,plain,
( sk_c9 = sF10
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl15_4
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f73,plain,
multiply(sk_c4,sk_c10) = sF10,
introduced(function_definition,[]) ).
fof(f1998,plain,
( identity != sk_c9
| spl15_1
| ~ spl15_8
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f125,f1978]) ).
fof(f1978,plain,
( identity = sF2
| ~ spl15_8
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1977,f1]) ).
fof(f1977,plain,
( multiply(identity,identity) = sF2
| ~ spl15_8
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1976,f563]) ).
fof(f1976,plain,
( sF2 = multiply(sk_c1,identity)
| ~ spl15_8
| ~ spl15_11
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f689,f1874]) ).
fof(f689,plain,
( multiply(sk_c1,sk_c11) = sF2
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f60,f688]) ).
fof(f688,plain,
( sk_c1 = sk_c2
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f684,f665]) ).
fof(f665,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f315,f174]) ).
fof(f315,plain,
sk_c1 = multiply(inverse(sF5),identity),
inference(superposition,[],[f275,f256]) ).
fof(f256,plain,
identity = multiply(sF5,sk_c1),
inference(superposition,[],[f2,f65]) ).
fof(f684,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f314,f159]) ).
fof(f159,plain,
( sk_c11 = sF1
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl15_8
<=> sk_c11 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f314,plain,
sk_c2 = multiply(inverse(sF1),identity),
inference(superposition,[],[f275,f262]) ).
fof(f262,plain,
identity = multiply(sF1,sk_c2),
inference(superposition,[],[f2,f58]) ).
fof(f58,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f60,plain,
multiply(sk_c2,sk_c11) = sF2,
introduced(function_definition,[]) ).
fof(f125,plain,
( sk_c9 != sF2
| spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_1
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f1827,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_22
| ~ spl15_23 ),
inference(avatar_contradiction_clause,[],[f1826]) ).
fof(f1826,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16
| ~ spl15_22
| ~ spl15_23 ),
inference(subsumption_resolution,[],[f1807,f1517]) ).
fof(f1807,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f1797]) ).
fof(f1797,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16 ),
inference(superposition,[],[f1730,f1]) ).
fof(f1730,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16 ),
inference(forward_demodulation,[],[f1729,f1411]) ).
fof(f1411,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1410,f2]) ).
fof(f1410,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1383,f1386]) ).
fof(f1386,plain,
( sk_c11 = sk_c10
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1384,f677]) ).
fof(f677,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_3
| ~ spl15_11 ),
inference(backward_demodulation,[],[f669,f135]) ).
fof(f669,plain,
( sk_c11 = multiply(sk_c11,sF9)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f317,f174]) ).
fof(f317,plain,
sk_c11 = multiply(sF5,sF9),
inference(forward_demodulation,[],[f301,f65]) ).
fof(f301,plain,
sk_c11 = multiply(inverse(sk_c1),sF9),
inference(superposition,[],[f275,f72]) ).
fof(f1384,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f703,f1382]) ).
fof(f1382,plain,
( sk_c10 = sk_c9
| ~ spl15_1
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f906,f1103]) ).
fof(f906,plain,
( multiply(sk_c1,sk_c11) = sk_c9
| ~ spl15_1
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f689,f126]) ).
fof(f126,plain,
( sk_c9 = sF2
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f703,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f70,f149]) ).
fof(f149,plain,
( sk_c10 = sF8
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl15_6
<=> sk_c10 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f70,plain,
multiply(sk_c11,sk_c9) = sF8,
introduced(function_definition,[]) ).
fof(f1383,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f704,f1382]) ).
fof(f704,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f302,f149]) ).
fof(f302,plain,
sk_c9 = multiply(inverse(sk_c11),sF8),
inference(superposition,[],[f275,f70]) ).
fof(f1729,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16 ),
inference(forward_demodulation,[],[f1728,f1434]) ).
fof(f1434,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f1404,f1411]) ).
fof(f1404,plain,
( sk_c11 = sk_c9
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f1382,f1386]) ).
fof(f1728,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| sk_c11 != inverse(X4) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_16 ),
inference(forward_demodulation,[],[f235,f1411]) ).
fof(f235,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl15_16
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f1727,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_22
| ~ spl15_23 ),
inference(avatar_contradiction_clause,[],[f1726]) ).
fof(f1726,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_22
| ~ spl15_23 ),
inference(subsumption_resolution,[],[f1725,f1517]) ).
fof(f1725,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1721,f1517]) ).
fof(f1721,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f1719]) ).
fof(f1719,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(superposition,[],[f1686,f2]) ).
fof(f1686,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f1685,f1434]) ).
fof(f1685,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f1684,f1421]) ).
fof(f1421,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f1386,f1411]) ).
fof(f1684,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_17 ),
inference(forward_demodulation,[],[f238,f1421]) ).
fof(f238,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl15_17
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f1683,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19
| ~ spl15_22
| ~ spl15_23 ),
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1682,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19
| ~ spl15_22
| ~ spl15_23 ),
inference(subsumption_resolution,[],[f1681,f1517]) ).
fof(f1681,plain,
( identity != inverse(identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1675,f1517]) ).
fof(f1675,plain,
( identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19 ),
inference(trivial_inequality_removal,[],[f1672]) ).
fof(f1672,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19 ),
inference(superposition,[],[f1668,f2]) ).
fof(f1668,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1667,f1411]) ).
fof(f1667,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19 ),
inference(forward_demodulation,[],[f1666,f1421]) ).
fof(f1666,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_19 ),
inference(forward_demodulation,[],[f244,f1411]) ).
fof(f1665,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1664,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(subsumption_resolution,[],[f1658,f1]) ).
fof(f1658,plain,
( identity != multiply(identity,identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(trivial_inequality_removal,[],[f1657]) ).
fof(f1657,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(duplicate_literal_removal,[],[f1652]) ).
fof(f1652,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| identity != identity
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(superposition,[],[f1552,f1517]) ).
fof(f1552,plain,
( ! [X0] :
( identity != multiply(inverse(X0),identity)
| identity != inverse(X0)
| identity != multiply(X0,inverse(X0)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1551,f1517]) ).
fof(f1551,plain,
( ! [X0] :
( identity != multiply(X0,inverse(X0))
| inverse(X0) != inverse(identity)
| identity != multiply(inverse(X0),identity) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(duplicate_literal_removal,[],[f1550]) ).
fof(f1550,plain,
( ! [X0] :
( identity != multiply(X0,inverse(X0))
| inverse(X0) != inverse(identity)
| identity != multiply(inverse(X0),identity)
| inverse(X0) != inverse(identity) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f1545,f1517]) ).
fof(f1545,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(X0))
| inverse(X0) != inverse(identity)
| identity != multiply(inverse(X0),identity) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18 ),
inference(superposition,[],[f1439,f1]) ).
fof(f1439,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18 ),
inference(forward_demodulation,[],[f1424,f1411]) ).
fof(f1424,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| identity != multiply(inverse(X7),identity)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18 ),
inference(backward_demodulation,[],[f1389,f1411]) ).
fof(f1389,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(X7),sk_c11)
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11
| ~ spl15_18 ),
inference(backward_demodulation,[],[f241,f1386]) ).
fof(f241,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl15_18
<=> ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1511,plain,
( spl15_23
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f1436,f172,f157,f147,f133,f124,f562]) ).
fof(f1436,plain,
( identity = sk_c1
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1417,f2]) ).
fof(f1417,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(backward_demodulation,[],[f665,f1411]) ).
fof(f1508,plain,
( spl15_22
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f1454,f172,f157,f147,f133,f124,f558]) ).
fof(f1454,plain,
( identity = inverse(sk_c1)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f668,f1411]) ).
fof(f1119,plain,
( spl15_23
| ~ spl15_11
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f1118,f558,f172,f562]) ).
fof(f1118,plain,
( identity = sk_c1
| ~ spl15_11
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1110,f2]) ).
fof(f1110,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl15_11
| ~ spl15_22 ),
inference(backward_demodulation,[],[f665,f1105]) ).
fof(f1105,plain,
( identity = sk_c11
| ~ spl15_11
| ~ spl15_22 ),
inference(backward_demodulation,[],[f668,f559]) ).
fof(f676,plain,
( spl15_3
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f675,f192,f183,f172,f133]) ).
fof(f675,plain,
( sk_c10 = sF9
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(backward_demodulation,[],[f72,f673]) ).
fof(f673,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(backward_demodulation,[],[f251,f670]) ).
fof(f670,plain,
( sk_c1 = sk_c3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f303,f665]) ).
fof(f303,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_13 ),
inference(superposition,[],[f275,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_13 ),
inference(superposition,[],[f2,f246]) ).
fof(f246,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f85,f185]) ).
fof(f251,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f63,f194]) ).
fof(f663,plain,
( ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f661,f446]) ).
fof(f446,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f426,f429]) ).
fof(f429,plain,
( identity = sk_c11
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f427,f358]) ).
fof(f358,plain,
( ! [X12] : multiply(sk_c11,X12) = X12
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(backward_demodulation,[],[f270,f357]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c8,X0)) = X0
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f334,f356]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f355,f1]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = multiply(sk_c7,X0)
| ~ spl15_9
| ~ spl15_10 ),
inference(superposition,[],[f3,f318]) ).
fof(f318,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_demodulation,[],[f312,f253]) ).
fof(f312,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_10 ),
inference(superposition,[],[f275,f260]) ).
fof(f260,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_10 ),
inference(superposition,[],[f2,f254]) ).
fof(f254,plain,
( inverse(sk_c7) = sk_c6
| ~ spl15_10 ),
inference(backward_demodulation,[],[f66,f169]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10 ),
inference(backward_demodulation,[],[f283,f325]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl15_10 ),
inference(forward_demodulation,[],[f282,f1]) ).
fof(f282,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl15_10 ),
inference(superposition,[],[f3,f260]) ).
fof(f270,plain,
( ! [X12] : multiply(sk_c11,X12) = multiply(sk_c5,multiply(sk_c8,X12))
| ~ spl15_15 ),
inference(superposition,[],[f3,f248]) ).
fof(f427,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f424,f426]) ).
fof(f424,plain,
( sk_c11 = multiply(inverse(sk_c11),identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f405,f418]) ).
fof(f418,plain,
( sk_c11 = sk_c5
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f407,f416]) ).
fof(f416,plain,
( ! [X14] : multiply(sk_c7,X14) = X14
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f414,f415]) ).
fof(f415,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f412,f358]) ).
fof(f412,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f357,f398]) ).
fof(f398,plain,
( sk_c11 = sk_c8
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f319,f387]) ).
fof(f387,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f252,f381]) ).
fof(f381,plain,
( sk_c11 = sk_c10
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f376,f1]) ).
fof(f376,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f251,f371]) ).
fof(f371,plain,
( identity = sk_c3
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(superposition,[],[f358,f257]) ).
fof(f252,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f68,f180]) ).
fof(f180,plain,
( sk_c11 = sF7
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl15_12
<=> sk_c11 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f68,plain,
multiply(sk_c8,sk_c10) = sF7,
introduced(function_definition,[]) ).
fof(f319,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_2
| ~ spl15_15 ),
inference(forward_demodulation,[],[f307,f255]) ).
fof(f307,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl15_15 ),
inference(superposition,[],[f275,f248]) ).
fof(f414,plain,
( ! [X14] : multiply(sk_c7,X14) = multiply(sk_c5,X14)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f408,f358]) ).
fof(f408,plain,
( ! [X14] : multiply(sk_c5,X14) = multiply(sk_c7,multiply(sk_c11,X14))
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f333,f398]) ).
fof(f407,plain,
( sk_c5 = multiply(sk_c7,sk_c11)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f328,f398]) ).
fof(f405,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f309,f398]) ).
fof(f426,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f402,f418]) ).
fof(f402,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f255,f398]) ).
fof(f661,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f660,f446]) ).
fof(f660,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f659,f446]) ).
fof(f659,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f658,f446]) ).
fof(f658,plain,
( identity != inverse(inverse(inverse(identity)))
| identity != inverse(identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f629,f446]) ).
fof(f629,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(superposition,[],[f598,f2]) ).
fof(f598,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f597,f1]) ).
fof(f597,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(duplicate_literal_removal,[],[f591]) ).
fof(f591,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(superposition,[],[f590,f446]) ).
fof(f590,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7)) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f589,f429]) ).
fof(f589,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),identity)
| identity != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f588,f438]) ).
fof(f438,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f381,f429]) ).
fof(f588,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(X7)) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f241,f429]) ).
fof(f587,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f585,f446]) ).
fof(f585,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f579,f446]) ).
fof(f579,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f576]) ).
fof(f576,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(superposition,[],[f573,f2]) ).
fof(f573,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f572,f490]) ).
fof(f490,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f486,f1]) ).
fof(f486,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f478,f485]) ).
fof(f485,plain,
( identity = sk_c4
| ~ spl15_2
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f484,f2]) ).
fof(f484,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f391,f429]) ).
fof(f391,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl15_2
| ~ spl15_5
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f304,f381]) ).
fof(f478,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f386,f429]) ).
fof(f386,plain,
( sk_c9 = multiply(sk_c4,sk_c11)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f249,f381]) ).
fof(f572,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f571,f438]) ).
fof(f571,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| identity != inverse(X6) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_17 ),
inference(forward_demodulation,[],[f238,f438]) ).
fof(f570,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f569,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f546,f446]) ).
fof(f546,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f541]) ).
fof(f541,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(superposition,[],[f510,f1]) ).
fof(f510,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f509,f490]) ).
fof(f509,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != multiply(X4,identity) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f508,f429]) ).
fof(f508,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c9 != multiply(X4,sk_c11) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15
| ~ spl15_16 ),
inference(forward_demodulation,[],[f235,f429]) ).
fof(f492,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_5
| spl15_6
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f490,f470]) ).
fof(f470,plain,
( identity != sk_c9
| ~ spl15_2
| spl15_6
| ~ spl15_7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f397,f429]) ).
fof(f397,plain,
( sk_c11 != sk_c9
| ~ spl15_2
| spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f370,f381]) ).
fof(f370,plain,
( sk_c10 != sk_c9
| ~ spl15_2
| spl15_6
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(superposition,[],[f148,f365]) ).
fof(f365,plain,
( sk_c9 = sF8
| ~ spl15_2
| ~ spl15_9
| ~ spl15_10
| ~ spl15_15 ),
inference(backward_demodulation,[],[f70,f358]) ).
fof(f148,plain,
( sk_c10 != sF8
| spl15_6 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f245,plain,
( spl15_16
| spl15_17
| spl15_18
| spl15_19
| ~ spl15_6
| spl15_19 ),
inference(avatar_split_clause,[],[f78,f243,f147,f243,f240,f237,f234]) ).
fof(f78,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c10 != sF8
| sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c9 != multiply(X4,sk_c11)
| sk_c11 != multiply(X7,inverse(X7))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X4) ),
inference(definition_folding,[],[f56,f70]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X4,sk_c11)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X4)
| inverse(X9) != multiply(X9,inverse(X7))
| inverse(X7) != inverse(inverse(X9))
| sk_c10 != multiply(X5,sk_c11) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X4,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| inverse(X7) != X8
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X4)
| inverse(X9) != multiply(X9,X8)
| inverse(inverse(X9)) != X8
| sk_c10 != multiply(X5,sk_c11) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c11 != multiply(X7,X8)
| sk_c10 != multiply(X3,sk_c11)
| sk_c9 != multiply(X4,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| inverse(X9) != X10
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| inverse(X7) != X8
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| sk_c11 != inverse(X4)
| multiply(X9,X8) != X10
| inverse(X10) != X8
| sk_c10 != multiply(X5,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f232,plain,
( spl15_15
| spl15_6 ),
inference(avatar_split_clause,[],[f84,f147,f198]) ).
fof(f84,plain,
( sk_c10 = sF8
| sk_c11 = sF12 ),
inference(definition_folding,[],[f28,f70,f83]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f231,plain,
( spl15_15
| spl15_1 ),
inference(avatar_split_clause,[],[f92,f124,f198]) ).
fof(f92,plain,
( sk_c9 = sF2
| sk_c11 = sF12 ),
inference(definition_folding,[],[f38,f83,f60]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f230,plain,
( spl15_4
| spl15_6 ),
inference(avatar_split_clause,[],[f93,f147,f137]) ).
fof(f93,plain,
( sk_c10 = sF8
| sk_c9 = sF10 ),
inference(definition_folding,[],[f26,f70,f73]) ).
fof(f26,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f229,plain,
( spl15_3
| spl15_14 ),
inference(avatar_split_clause,[],[f107,f192,f133]) ).
fof(f107,plain,
( sk_c10 = sF4
| sk_c10 = sF9 ),
inference(definition_folding,[],[f4,f72,f63]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f228,plain,
( spl15_6
| spl15_13 ),
inference(avatar_split_clause,[],[f114,f183,f147]) ).
fof(f114,plain,
( sk_c11 = sF13
| sk_c10 = sF8 ),
inference(definition_folding,[],[f25,f85,f70]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f227,plain,
( spl15_14
| spl15_11 ),
inference(avatar_split_clause,[],[f97,f172,f192]) ).
fof(f97,plain,
( sk_c11 = sF5
| sk_c10 = sF4 ),
inference(definition_folding,[],[f14,f65,f63]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f226,plain,
( spl15_12
| spl15_8 ),
inference(avatar_split_clause,[],[f69,f157,f178]) ).
fof(f69,plain,
( sk_c11 = sF1
| sk_c11 = sF7 ),
inference(definition_folding,[],[f50,f58,f68]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f225,plain,
( spl15_4
| spl15_1 ),
inference(avatar_split_clause,[],[f95,f124,f137]) ).
fof(f95,plain,
( sk_c9 = sF2
| sk_c9 = sF10 ),
inference(definition_folding,[],[f36,f73,f60]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f224,plain,
( spl15_3
| spl15_2 ),
inference(avatar_split_clause,[],[f100,f128,f133]) ).
fof(f100,plain,
( sk_c8 = sF3
| sk_c10 = sF9 ),
inference(definition_folding,[],[f9,f61,f72]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f223,plain,
( spl15_8
| spl15_4 ),
inference(avatar_split_clause,[],[f122,f137,f157]) ).
fof(f122,plain,
( sk_c9 = sF10
| sk_c11 = sF1 ),
inference(definition_folding,[],[f46,f73,f58]) ).
fof(f46,axiom,
( sk_c11 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f222,plain,
( spl15_5
| spl15_11 ),
inference(avatar_split_clause,[],[f76,f172,f142]) ).
fof(f76,plain,
( sk_c11 = sF5
| sk_c10 = sF11 ),
inference(definition_folding,[],[f17,f65,f75]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f221,plain,
( spl15_8
| spl15_13 ),
inference(avatar_split_clause,[],[f103,f183,f157]) ).
fof(f103,plain,
( sk_c11 = sF13
| sk_c11 = sF1 ),
inference(definition_folding,[],[f45,f58,f85]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f219,plain,
( spl15_7
| spl15_6 ),
inference(avatar_split_clause,[],[f88,f147,f152]) ).
fof(f88,plain,
( sk_c10 = sF8
| sk_c6 = sF14 ),
inference(definition_folding,[],[f33,f70,f87]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f218,plain,
( spl15_7
| spl15_8 ),
inference(avatar_split_clause,[],[f121,f157,f152]) ).
fof(f121,plain,
( sk_c11 = sF1
| sk_c6 = sF14 ),
inference(definition_folding,[],[f53,f58,f87]) ).
fof(f53,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f217,plain,
( spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f77,f128,f172]) ).
fof(f77,plain,
( sk_c8 = sF3
| sk_c11 = sF5 ),
inference(definition_folding,[],[f19,f65,f61]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f215,plain,
( spl15_2
| spl15_8 ),
inference(avatar_split_clause,[],[f104,f157,f128]) ).
fof(f104,plain,
( sk_c11 = sF1
| sk_c8 = sF3 ),
inference(definition_folding,[],[f49,f61,f58]) ).
fof(f49,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f213,plain,
( spl15_13
| spl15_3 ),
inference(avatar_split_clause,[],[f113,f133,f183]) ).
fof(f113,plain,
( sk_c10 = sF9
| sk_c11 = sF13 ),
inference(definition_folding,[],[f5,f85,f72]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f211,plain,
( spl15_11
| spl15_10 ),
inference(avatar_split_clause,[],[f67,f167,f172]) ).
fof(f67,plain,
( sk_c6 = sF6
| sk_c11 = sF5 ),
inference(definition_folding,[],[f21,f66,f65]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f210,plain,
( spl15_11
| spl15_13 ),
inference(avatar_split_clause,[],[f86,f183,f172]) ).
fof(f86,plain,
( sk_c11 = sF13
| sk_c11 = sF5 ),
inference(definition_folding,[],[f15,f85,f65]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f208,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f105,f178,f172]) ).
fof(f105,plain,
( sk_c11 = sF7
| sk_c11 = sF5 ),
inference(definition_folding,[],[f20,f68,f65]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f207,plain,
( spl15_11
| spl15_15 ),
inference(avatar_split_clause,[],[f109,f198,f172]) ).
fof(f109,plain,
( sk_c11 = sF12
| sk_c11 = sF5 ),
inference(definition_folding,[],[f18,f83,f65]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f206,plain,
( spl15_5
| spl15_8 ),
inference(avatar_split_clause,[],[f79,f157,f142]) ).
fof(f79,plain,
( sk_c11 = sF1
| sk_c10 = sF11 ),
inference(definition_folding,[],[f47,f58,f75]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f205,plain,
( spl15_9
| spl15_1 ),
inference(avatar_split_clause,[],[f96,f124,f161]) ).
fof(f96,plain,
( sk_c9 = sF2
| sk_c8 = sF0 ),
inference(definition_folding,[],[f42,f60,f57]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f204,plain,
( spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f118,f167,f147]) ).
fof(f118,plain,
( sk_c6 = sF6
| sk_c10 = sF8 ),
inference(definition_folding,[],[f31,f66,f70]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f203,plain,
( spl15_11
| spl15_9 ),
inference(avatar_split_clause,[],[f80,f161,f172]) ).
fof(f80,plain,
( sk_c8 = sF0
| sk_c11 = sF5 ),
inference(definition_folding,[],[f22,f65,f57]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f201,plain,
( spl15_15
| spl15_8 ),
inference(avatar_split_clause,[],[f91,f157,f198]) ).
fof(f91,plain,
( sk_c11 = sF1
| sk_c11 = sF12 ),
inference(definition_folding,[],[f48,f83,f58]) ).
fof(f48,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f196,plain,
( spl15_14
| spl15_8 ),
inference(avatar_split_clause,[],[f64,f157,f192]) ).
fof(f64,plain,
( sk_c11 = sF1
| sk_c10 = sF4 ),
inference(definition_folding,[],[f44,f58,f63]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f195,plain,
( spl15_14
| spl15_6 ),
inference(avatar_split_clause,[],[f71,f147,f192]) ).
fof(f71,plain,
( sk_c10 = sF8
| sk_c10 = sF4 ),
inference(definition_folding,[],[f24,f63,f70]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f190,plain,
( spl15_11
| spl15_4 ),
inference(avatar_split_clause,[],[f120,f137,f172]) ).
fof(f120,plain,
( sk_c9 = sF10
| sk_c11 = sF5 ),
inference(definition_folding,[],[f16,f73,f65]) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f188,plain,
( spl15_10
| spl15_8 ),
inference(avatar_split_clause,[],[f102,f157,f167]) ).
fof(f102,plain,
( sk_c11 = sF1
| sk_c6 = sF6 ),
inference(definition_folding,[],[f51,f66,f58]) ).
fof(f51,axiom,
( sk_c11 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f187,plain,
( spl15_2
| spl15_6 ),
inference(avatar_split_clause,[],[f119,f147,f128]) ).
fof(f119,plain,
( sk_c10 = sF8
| sk_c8 = sF3 ),
inference(definition_folding,[],[f29,f61,f70]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f186,plain,
( spl15_1
| spl15_13 ),
inference(avatar_split_clause,[],[f89,f183,f124]) ).
fof(f89,plain,
( sk_c11 = sF13
| sk_c9 = sF2 ),
inference(definition_folding,[],[f35,f60,f85]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f181,plain,
( spl15_6
| spl15_12 ),
inference(avatar_split_clause,[],[f112,f178,f147]) ).
fof(f112,plain,
( sk_c11 = sF7
| sk_c10 = sF8 ),
inference(definition_folding,[],[f30,f70,f68]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f176,plain,
( spl15_3
| spl15_10 ),
inference(avatar_split_clause,[],[f94,f167,f133]) ).
fof(f94,plain,
( sk_c6 = sF6
| sk_c10 = sF9 ),
inference(definition_folding,[],[f11,f66,f72]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f175,plain,
( spl15_11
| spl15_7 ),
inference(avatar_split_clause,[],[f116,f152,f172]) ).
fof(f116,plain,
( sk_c6 = sF14
| sk_c11 = sF5 ),
inference(definition_folding,[],[f23,f87,f65]) ).
fof(f23,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f170,plain,
( spl15_10
| spl15_1 ),
inference(avatar_split_clause,[],[f117,f124,f167]) ).
fof(f117,plain,
( sk_c9 = sF2
| sk_c6 = sF6 ),
inference(definition_folding,[],[f41,f66,f60]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f165,plain,
( spl15_6
| spl15_9 ),
inference(avatar_split_clause,[],[f99,f161,f147]) ).
fof(f99,plain,
( sk_c8 = sF0
| sk_c10 = sF8 ),
inference(definition_folding,[],[f32,f70,f57]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f164,plain,
( spl15_8
| spl15_9 ),
inference(avatar_split_clause,[],[f59,f161,f157]) ).
fof(f59,plain,
( sk_c8 = sF0
| sk_c11 = sF1 ),
inference(definition_folding,[],[f52,f58,f57]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f155,plain,
( spl15_1
| spl15_7 ),
inference(avatar_split_clause,[],[f115,f152,f124]) ).
fof(f115,plain,
( sk_c6 = sF14
| sk_c9 = sF2 ),
inference(definition_folding,[],[f43,f87,f60]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f150,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f101,f147,f142]) ).
fof(f101,plain,
( sk_c10 = sF8
| sk_c10 = sF11 ),
inference(definition_folding,[],[f27,f75,f70]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f145,plain,
( spl15_5
| spl15_1 ),
inference(avatar_split_clause,[],[f106,f124,f142]) ).
fof(f106,plain,
( sk_c9 = sF2
| sk_c10 = sF11 ),
inference(definition_folding,[],[f37,f60,f75]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f62,f128,f124]) ).
fof(f62,plain,
( sk_c8 = sF3
| sk_c9 = sF2 ),
inference(definition_folding,[],[f39,f61,f60]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c2,sk_c11)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP269-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:08:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.56 % (31291)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)
% 0.19/0.58 % (31314)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)
% 0.19/0.59 % (31306)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)
% 0.19/0.59 % (31298)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)
% 0.19/0.60 % (31307)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.60 % (31301)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)
% 0.19/0.60 % (31290)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.60 % (31303)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)
% 0.19/0.60 % (31298)Instruction limit reached!
% 0.19/0.60 % (31298)------------------------------
% 0.19/0.60 % (31298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (31306)Instruction limit reached!
% 0.19/0.60 % (31306)------------------------------
% 0.19/0.60 % (31306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (31306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (31306)Termination reason: Unknown
% 0.19/0.60 % (31306)Termination phase: Property scanning
% 0.19/0.60
% 0.19/0.60 % (31306)Memory used [KB]: 1279
% 0.19/0.60 % (31306)Time elapsed: 0.005 s
% 0.19/0.60 % (31306)Instructions burned: 2 (million)
% 0.19/0.60 % (31306)------------------------------
% 0.19/0.60 % (31306)------------------------------
% 0.19/0.60 % (31298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (31298)Termination reason: Unknown
% 0.19/0.60 % (31298)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (31298)Memory used [KB]: 5884
% 0.19/0.60 % (31298)Time elapsed: 0.005 s
% 0.19/0.60 % (31298)Instructions burned: 3 (million)
% 0.19/0.60 % (31298)------------------------------
% 0.19/0.60 % (31298)------------------------------
% 0.19/0.60 % (31296)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)
% 0.19/0.60 % (31313)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)
% 0.19/0.61 % (31292)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)
% 0.19/0.61 % (31292)Instruction limit reached!
% 0.19/0.61 % (31292)------------------------------
% 0.19/0.61 % (31292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (31292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (31292)Termination reason: Unknown
% 0.19/0.61 % (31292)Termination phase: Saturation
% 0.19/0.61
% 0.19/0.61 % (31292)Memory used [KB]: 5884
% 0.19/0.61 % (31292)Time elapsed: 0.005 s
% 0.19/0.61 % (31292)Instructions burned: 5 (million)
% 0.19/0.61 % (31292)------------------------------
% 0.19/0.61 % (31292)------------------------------
% 0.19/0.62 % (31299)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)
% 0.19/0.62 % (31305)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)
% 0.19/0.62 % (31302)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)
% 0.19/0.62 % (31303)Instruction limit reached!
% 0.19/0.62 % (31303)------------------------------
% 0.19/0.62 % (31303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (31303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62 % (31303)Termination reason: Unknown
% 0.19/0.62 % (31303)Termination phase: Saturation
% 0.19/0.62
% 0.19/0.62 % (31303)Memory used [KB]: 5884
% 0.19/0.62 % (31303)Time elapsed: 0.005 s
% 0.19/0.62 % (31303)Instructions burned: 3 (million)
% 0.19/0.62 % (31303)------------------------------
% 0.19/0.62 % (31303)------------------------------
% 0.19/0.62 % (31302)Instruction limit reached!
% 0.19/0.62 % (31302)------------------------------
% 0.19/0.62 % (31302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (31302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62 % (31302)Termination reason: Unknown
% 0.19/0.62 % (31302)Termination phase: Saturation
% 0.19/0.62
% 0.19/0.62 % (31302)Memory used [KB]: 6012
% 0.19/0.62 % (31302)Time elapsed: 0.192 s
% 0.19/0.62 % (31302)Instructions burned: 5 (million)
% 0.19/0.62 % (31302)------------------------------
% 0.19/0.62 % (31302)------------------------------
% 0.19/0.62 % (31307)Instruction limit reached!
% 0.19/0.62 % (31307)------------------------------
% 0.19/0.62 % (31307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62 % (31307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62 % (31307)Termination reason: Unknown
% 0.19/0.62 % (31307)Termination phase: Saturation
% 0.19/0.62
% 0.19/0.62 % (31307)Memory used [KB]: 6012
% 0.19/0.62 % (31307)Time elapsed: 0.174 s
% 0.19/0.62 % (31307)Instructions burned: 8 (million)
% 0.19/0.62 % (31307)------------------------------
% 0.19/0.62 % (31307)------------------------------
% 0.19/0.62 % (31308)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)
% 1.82/0.63 % (31313)Refutation not found, incomplete strategy% (31313)------------------------------
% 1.82/0.63 % (31313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.63 % (31313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.63 % (31313)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.63
% 1.82/0.63 % (31313)Memory used [KB]: 5884
% 1.82/0.63 % (31313)Time elapsed: 0.146 s
% 1.82/0.63 % (31313)Instructions burned: 5 (million)
% 1.82/0.63 % (31313)------------------------------
% 1.82/0.63 % (31313)------------------------------
% 1.82/0.63 % (31295)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.82/0.63 % (31315)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)
% 1.82/0.64 % (31294)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)
% 1.82/0.64 % (31305)Instruction limit reached!
% 1.82/0.64 % (31305)------------------------------
% 1.82/0.64 % (31305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64 % (31305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64 % (31305)Termination reason: Unknown
% 1.82/0.64 % (31305)Termination phase: Finite model building preprocessing
% 1.82/0.64
% 1.82/0.64 % (31305)Memory used [KB]: 1407
% 1.82/0.64 % (31305)Time elapsed: 0.006 s
% 1.82/0.64 % (31305)Instructions burned: 7 (million)
% 1.82/0.64 % (31305)------------------------------
% 1.82/0.64 % (31305)------------------------------
% 1.82/0.64 % (31312)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)
% 1.82/0.64 % (31297)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)
% 1.82/0.64 % (31317)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)
% 1.82/0.64 % (31293)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)
% 1.82/0.64 % (31316)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)
% 1.82/0.64 % (31297)Refutation not found, incomplete strategy% (31297)------------------------------
% 1.82/0.64 % (31297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64 % (31297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64 % (31297)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.64
% 1.82/0.64 % (31297)Memory used [KB]: 6012
% 1.82/0.64 % (31297)Time elapsed: 0.158 s
% 1.82/0.64 % (31297)Instructions burned: 6 (million)
% 1.82/0.64 % (31297)------------------------------
% 1.82/0.64 % (31297)------------------------------
% 1.82/0.64 % (31293)Refutation not found, incomplete strategy% (31293)------------------------------
% 1.82/0.64 % (31293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.64 % (31293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.64 % (31293)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.64
% 1.82/0.64 % (31293)Memory used [KB]: 5884
% 1.82/0.64 % (31293)Time elapsed: 0.209 s
% 1.82/0.64 % (31293)Instructions burned: 5 (million)
% 1.82/0.64 % (31293)------------------------------
% 1.82/0.64 % (31293)------------------------------
% 1.82/0.64 % (31304)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)
% 1.82/0.65 % (31311)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)
% 2.28/0.65 % (31301)Instruction limit reached!
% 2.28/0.65 % (31301)------------------------------
% 2.28/0.65 % (31301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.65 % (31318)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)
% 2.28/0.65 % (31319)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)
% 2.28/0.65 % (31300)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)
% 2.28/0.66 % (31300)Instruction limit reached!
% 2.28/0.66 % (31300)------------------------------
% 2.28/0.66 % (31300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (31300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (31300)Termination reason: Unknown
% 2.28/0.66 % (31300)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (31300)Memory used [KB]: 5884
% 2.28/0.66 % (31300)Time elapsed: 0.222 s
% 2.28/0.66 % (31300)Instructions burned: 7 (million)
% 2.28/0.66 % (31300)------------------------------
% 2.28/0.66 % (31300)------------------------------
% 2.28/0.66 % (31309)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)
% 2.28/0.66 % (31310)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)
% 2.28/0.66 % (31301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (31301)Termination reason: Unknown
% 2.28/0.66 % (31310)Instruction limit reached!
% 2.28/0.66 % (31310)------------------------------
% 2.28/0.66 % (31310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (31310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (31310)Termination reason: Unknown
% 2.28/0.66 % (31310)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (31310)Memory used [KB]: 1407
% 2.28/0.66 % (31310)Time elapsed: 0.006 s
% 2.28/0.66 % (31310)Instructions burned: 7 (million)
% 2.28/0.66 % (31310)------------------------------
% 2.28/0.66 % (31310)------------------------------
% 2.28/0.66 % (31301)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (31301)Memory used [KB]: 6140
% 2.28/0.66 % (31301)Time elapsed: 0.207 s
% 2.28/0.66 % (31301)Instructions burned: 23 (million)
% 2.28/0.66 % (31301)------------------------------
% 2.28/0.66 % (31301)------------------------------
% 2.28/0.66 % (31291)Instruction limit reached!
% 2.28/0.66 % (31291)------------------------------
% 2.28/0.66 % (31291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (31316)Refutation not found, incomplete strategy% (31316)------------------------------
% 2.28/0.66 % (31316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (31316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (31316)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.66
% 2.28/0.66 % (31316)Memory used [KB]: 6012
% 2.28/0.66 % (31316)Time elapsed: 0.213 s
% 2.28/0.66 % (31316)Instructions burned: 6 (million)
% 2.28/0.66 % (31316)------------------------------
% 2.28/0.66 % (31316)------------------------------
% 2.28/0.67 % (31314)Instruction limit reached!
% 2.28/0.67 % (31314)------------------------------
% 2.28/0.67 % (31314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (31314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (31314)Termination reason: Unknown
% 2.28/0.67 % (31314)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (31314)Memory used [KB]: 6780
% 2.28/0.67 % (31314)Time elapsed: 0.237 s
% 2.28/0.67 % (31314)Instructions burned: 46 (million)
% 2.28/0.67 % (31314)------------------------------
% 2.28/0.67 % (31314)------------------------------
% 2.28/0.67 % (31309)Instruction limit reached!
% 2.28/0.67 % (31309)------------------------------
% 2.28/0.67 % (31309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (31309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (31309)Termination reason: Unknown
% 2.28/0.67 % (31309)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (31309)Memory used [KB]: 6012
% 2.28/0.67 % (31309)Time elapsed: 0.230 s
% 2.28/0.67 % (31309)Instructions burned: 7 (million)
% 2.28/0.67 % (31309)------------------------------
% 2.28/0.67 % (31309)------------------------------
% 2.44/0.67 % (31291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.67 % (31291)Termination reason: Unknown
% 2.44/0.67 % (31291)Termination phase: Saturation
% 2.44/0.67
% 2.44/0.67 % (31291)Memory used [KB]: 1663
% 2.44/0.67 % (31291)Time elapsed: 0.227 s
% 2.44/0.67 % (31291)Instructions burned: 42 (million)
% 2.44/0.67 % (31291)------------------------------
% 2.44/0.67 % (31291)------------------------------
% 2.44/0.69 % (31299)Instruction limit reached!
% 2.44/0.69 % (31299)------------------------------
% 2.44/0.69 % (31299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.69 % (31299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.69 % (31299)Termination reason: Unknown
% 2.44/0.69 % (31299)Termination phase: Saturation
% 2.44/0.69
% 2.44/0.69 % (31299)Memory used [KB]: 6908
% 2.44/0.69 % (31299)Time elapsed: 0.256 s
% 2.44/0.69 % (31299)Instructions burned: 51 (million)
% 2.44/0.69 % (31299)------------------------------
% 2.44/0.69 % (31299)------------------------------
% 2.44/0.70 % (31308)Instruction limit reached!
% 2.44/0.70 % (31308)------------------------------
% 2.44/0.70 % (31308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.70 % (31308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.70 % (31308)Termination reason: Unknown
% 2.44/0.70 % (31308)Termination phase: Saturation
% 2.44/0.70
% 2.44/0.70 % (31308)Memory used [KB]: 10874
% 2.44/0.70 % (31308)Time elapsed: 0.279 s
% 2.44/0.70 % (31308)Instructions burned: 28 (million)
% 2.44/0.70 % (31308)------------------------------
% 2.44/0.70 % (31308)------------------------------
% 2.44/0.71 % (31318)Instruction limit reached!
% 2.44/0.71 % (31318)------------------------------
% 2.44/0.71 % (31318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.71 % (31318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.71 % (31318)Termination reason: Unknown
% 2.44/0.71 % (31318)Termination phase: Saturation
% 2.44/0.71
% 2.44/0.71 % (31318)Memory used [KB]: 6268
% 2.44/0.71 % (31318)Time elapsed: 0.258 s
% 2.44/0.71 % (31318)Instructions burned: 20 (million)
% 2.44/0.71 % (31318)------------------------------
% 2.44/0.71 % (31318)------------------------------
% 2.44/0.71 % (31295)Instruction limit reached!
% 2.44/0.71 % (31295)------------------------------
% 2.44/0.71 % (31295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.71 % (31295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.71 % (31295)Termination reason: Unknown
% 2.44/0.71 % (31295)Termination phase: Saturation
% 2.44/0.71
% 2.44/0.71 % (31295)Memory used [KB]: 6268
% 2.44/0.71 % (31295)Time elapsed: 0.283 s
% 2.44/0.71 % (31295)Instructions burned: 25 (million)
% 2.44/0.71 % (31295)------------------------------
% 2.44/0.71 % (31295)------------------------------
% 2.44/0.71 % (31296)Instruction limit reached!
% 2.44/0.71 % (31296)------------------------------
% 2.44/0.71 % (31296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.71 % (31296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.71 % (31296)Termination reason: Unknown
% 2.44/0.71 % (31296)Termination phase: Saturation
% 2.44/0.71
% 2.44/0.71 % (31296)Memory used [KB]: 1663
% 2.44/0.71 % (31296)Time elapsed: 0.286 s
% 2.44/0.71 % (31296)Instructions burned: 50 (million)
% 2.44/0.71 % (31296)------------------------------
% 2.44/0.71 % (31296)------------------------------
% 2.44/0.72 % (31294)Instruction limit reached!
% 2.44/0.72 % (31294)------------------------------
% 2.44/0.72 % (31294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.72 % (31294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.72 % (31294)Termination reason: Unknown
% 2.44/0.72 % (31294)Termination phase: Saturation
% 2.44/0.72
% 2.44/0.72 % (31294)Memory used [KB]: 6396
% 2.44/0.72 % (31294)Time elapsed: 0.252 s
% 2.44/0.72 % (31294)Instructions burned: 35 (million)
% 2.44/0.72 % (31294)------------------------------
% 2.44/0.72 % (31294)------------------------------
% 2.65/0.72 % (31304)Instruction limit reached!
% 2.65/0.72 % (31304)------------------------------
% 2.65/0.72 % (31304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (31304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (31304)Termination reason: Unknown
% 2.65/0.72 % (31304)Termination phase: Saturation
% 2.65/0.72
% 2.65/0.72 % (31304)Memory used [KB]: 1663
% 2.65/0.72 % (31304)Time elapsed: 0.278 s
% 2.65/0.72 % (31304)Instructions burned: 29 (million)
% 2.65/0.72 % (31304)------------------------------
% 2.65/0.72 % (31304)------------------------------
% 2.70/0.77 % (31365)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 (2997ds/75Mi)
% 2.70/0.78 % (31290)First to succeed.
% 2.70/0.78 % (31352)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/14Mi)
% 2.70/0.79 % (31353)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.70/0.80 % (31290)Refutation found. Thanks to Tanya!
% 2.70/0.80 % SZS status Unsatisfiable for theBenchmark
% 2.70/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.80 % (31290)------------------------------
% 2.70/0.80 % (31290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.80 % (31290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.80 % (31290)Termination reason: Refutation
% 2.70/0.80
% 2.70/0.80 % (31290)Memory used [KB]: 7036
% 2.70/0.80 % (31290)Time elapsed: 0.356 s
% 2.70/0.80 % (31290)Instructions burned: 82 (million)
% 2.70/0.80 % (31290)------------------------------
% 2.70/0.80 % (31290)------------------------------
% 2.70/0.80 % (31289)Success in time 0.451 s
%------------------------------------------------------------------------------