TSTP Solution File: GRP324-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP324-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:08:05 EDT 2024
% Result : Unsatisfiable 0.71s 0.81s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 81
% Syntax : Number of formulae : 376 ( 36 unt; 0 def)
% Number of atoms : 1447 ( 312 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1997 ( 926 ~;1052 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 20 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1013,plain,
$false,
inference(avatar_sat_refutation,[],[f112,f117,f122,f132,f137,f142,f143,f144,f145,f146,f147,f152,f153,f154,f155,f156,f157,f162,f163,f164,f165,f166,f167,f172,f173,f174,f175,f176,f177,f182,f183,f184,f185,f186,f187,f212,f353,f386,f417,f442,f451,f480,f651,f675,f686,f727,f854,f871,f891,f910,f981,f1004]) ).
fof(f1004,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl23_1
| spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(subsumption_resolution,[],[f988,f1000]) ).
fof(f1000,plain,
( sk_c7 != sk_c6
| spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f110,f998]) ).
fof(f998,plain,
( sk_c7 = sF11
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f997,f925]) ).
fof(f925,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f488,f916]) ).
fof(f916,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f771,f488]) ).
fof(f771,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl23_8
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f491,f758]) ).
fof(f758,plain,
( sk_c7 = sk_c8
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f756,f487]) ).
fof(f487,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl23_10 ),
inference(backward_demodulation,[],[f81,f161]) ).
fof(f161,plain,
( sk_c7 = sF20
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl23_10
<=> sk_c7 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f81,plain,
multiply(sk_c8,sk_c3) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f756,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f481,f736]) ).
fof(f736,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl23_11 ),
inference(backward_demodulation,[],[f88,f171]) ).
fof(f171,plain,
( sk_c3 = sF21
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl23_11
<=> sk_c3 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f88,plain,
multiply(sk_c2,sk_c8) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f481,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl23_12 ),
inference(backward_demodulation,[],[f246,f181]) ).
fof(f181,plain,
( sk_c8 = sF22
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl23_12
<=> sk_c8 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f246,plain,
! [X0] : multiply(sF22,multiply(sk_c2,X0)) = X0,
inference(forward_demodulation,[],[f238,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f238,plain,
! [X0] : multiply(identity,X0) = multiply(sF22,multiply(sk_c2,X0)),
inference(superposition,[],[f3,f223]) ).
fof(f223,plain,
identity = multiply(sF22,sk_c2),
inference(superposition,[],[f2,f95]) ).
fof(f95,plain,
inverse(sk_c2) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f491,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl23_8 ),
inference(backward_demodulation,[],[f235,f141]) ).
fof(f141,plain,
( sk_c8 = sF18
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl23_8
<=> sk_c8 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f235,plain,
! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF18,X0),
inference(superposition,[],[f3,f67]) ).
fof(f67,plain,
multiply(sk_c1,sk_c7) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f488,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl23_9 ),
inference(backward_demodulation,[],[f245,f151]) ).
fof(f151,plain,
( sk_c7 = sF19
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl23_9
<=> sk_c7 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f245,plain,
! [X0] : multiply(sF19,multiply(sk_c1,X0)) = X0,
inference(forward_demodulation,[],[f237,f1]) ).
fof(f237,plain,
! [X0] : multiply(identity,X0) = multiply(sF19,multiply(sk_c1,X0)),
inference(superposition,[],[f3,f222]) ).
fof(f222,plain,
identity = multiply(sF19,sk_c1),
inference(superposition,[],[f2,f74]) ).
fof(f74,plain,
inverse(sk_c1) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f997,plain,
( sF11 = multiply(sk_c7,sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f54,f758]) ).
fof(f54,plain,
multiply(sk_c8,sk_c7) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f110,plain,
( sk_c6 != sF11
| spl23_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl23_2
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f988,plain,
( sk_c7 = sk_c6
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f781,f925]) ).
fof(f781,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f739,f758]) ).
fof(f739,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl23_1 ),
inference(backward_demodulation,[],[f55,f107]) ).
fof(f107,plain,
( sk_c6 = sF12
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl23_1
<=> sk_c6 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f55,plain,
multiply(sk_c7,sk_c8) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f981,plain,
( ~ spl23_2
| spl23_5
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f980,plain,
( $false
| ~ spl23_2
| spl23_5
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(subsumption_resolution,[],[f979,f896]) ).
fof(f896,plain,
( sk_c7 != sF15
| ~ spl23_2
| spl23_5
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f125,f804]) ).
fof(f804,plain,
( sk_c7 = sk_c6
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f802,f764]) ).
fof(f764,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f218,f758]) ).
fof(f218,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f54,f111]) ).
fof(f111,plain,
( sk_c6 = sF11
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f802,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f488,f772]) ).
fof(f772,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl23_8
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f492,f758]) ).
fof(f492,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl23_8 ),
inference(backward_demodulation,[],[f67,f141]) ).
fof(f125,plain,
( sk_c6 != sF15
| spl23_5 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl23_5
<=> sk_c6 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f979,plain,
( sk_c7 = sF15
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f977,f894]) ).
fof(f894,plain,
( sF15 = inverse(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f61,f758]) ).
fof(f61,plain,
inverse(sk_c8) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f977,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f945,f971]) ).
fof(f971,plain,
( identity = sk_c7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f962,f970]) ).
fof(f970,plain,
( ! [X0] : multiply(sF15,X0) = X0
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f969,f1]) ).
fof(f969,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF15,X0)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f968,f925]) ).
fof(f968,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF15,multiply(sk_c7,X0))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f3,f962]) ).
fof(f962,plain,
( identity = multiply(sF15,sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f2,f894]) ).
fof(f945,plain,
( sk_c7 = inverse(identity)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f490,f932]) ).
fof(f932,plain,
( identity = sk_c1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f489,f925]) ).
fof(f489,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f222,f151]) ).
fof(f490,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f74,f151]) ).
fof(f910,plain,
( ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f909,plain,
( $false
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f908,f805]) ).
fof(f805,plain,
( ~ sP1(sk_c7)
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f42,f804]) ).
fof(f42,plain,
~ sP1(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f908,plain,
( sP1(sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(forward_demodulation,[],[f907,f772]) ).
fof(f907,plain,
( sP1(multiply(sk_c1,sk_c7))
| ~ spl23_9
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f901,f41]) ).
fof(f41,plain,
~ sP0(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f901,plain,
( sP0(sk_c7)
| sP1(multiply(sk_c1,sk_c7))
| ~ spl23_9
| ~ spl23_19 ),
inference(superposition,[],[f211,f490]) ).
fof(f211,plain,
( ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,sk_c7)) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl23_19
<=> ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f891,plain,
( ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f890,plain,
( $false
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f889,f45]) ).
fof(f45,plain,
~ sP4(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f889,plain,
( sP4(sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(forward_demodulation,[],[f888,f772]) ).
fof(f888,plain,
( sP4(multiply(sk_c1,sk_c7))
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f878,f759]) ).
fof(f759,plain,
( ~ sP3(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f44,f758]) ).
fof(f44,plain,
~ sP3(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f878,plain,
( sP3(sk_c7)
| sP4(multiply(sk_c1,sk_c7))
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(superposition,[],[f874,f490]) ).
fof(f874,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP4(multiply(X6,sk_c7)) )
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_17 ),
inference(forward_demodulation,[],[f204,f758]) ).
fof(f204,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP4(multiply(X6,sk_c8)) )
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl23_17
<=> ! [X6] :
( sP3(inverse(X6))
| sP4(multiply(X6,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f871,plain,
( ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f870]) ).
fof(f870,plain,
( $false
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f869,f761]) ).
fof(f761,plain,
( ~ sP9(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f50,f758]) ).
fof(f50,plain,
~ sP9(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f869,plain,
( sP9(sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f868,f772]) ).
fof(f868,plain,
( sP9(multiply(sk_c1,sk_c7))
| ~ spl23_9
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f858,f49]) ).
fof(f49,plain,
~ sP8(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f858,plain,
( sP8(sk_c7)
| sP9(multiply(sk_c1,sk_c7))
| ~ spl23_9
| ~ spl23_14 ),
inference(superposition,[],[f194,f490]) ).
fof(f194,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c7)) )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl23_14
<=> ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f854,plain,
( ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f853,plain,
( $false
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f852,f48]) ).
fof(f48,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f852,plain,
( sP7(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(forward_demodulation,[],[f851,f766]) ).
fof(f766,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f481,f758]) ).
fof(f851,plain,
( sP7(multiply(sk_c7,multiply(sk_c2,sk_c7)))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f835,f760]) ).
fof(f760,plain,
( ~ sP6(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f47,f758]) ).
fof(f47,plain,
~ sP6(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f835,plain,
( sP6(sk_c7)
| sP7(multiply(sk_c7,multiply(sk_c2,sk_c7)))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(superposition,[],[f825,f768]) ).
fof(f768,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f483,f758]) ).
fof(f483,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl23_12 ),
inference(backward_demodulation,[],[f95,f181]) ).
fof(f825,plain,
( ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(sk_c7,multiply(X5,sk_c7))) )
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_15 ),
inference(forward_demodulation,[],[f197,f758]) ).
fof(f197,plain,
( ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(sk_c8,multiply(X5,sk_c8))) )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl23_15
<=> ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(sk_c8,multiply(X5,sk_c8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f727,plain,
( ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f725,f42]) ).
fof(f725,plain,
( sP1(sk_c6)
| ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(forward_demodulation,[],[f724,f214]) ).
fof(f214,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl23_6 ),
inference(backward_demodulation,[],[f63,f131]) ).
fof(f131,plain,
( sk_c6 = sF16
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl23_6
<=> sk_c6 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f63,plain,
multiply(sk_c5,sk_c7) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f724,plain,
( sP1(multiply(sk_c5,sk_c7))
| ~ spl23_7
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f710,f41]) ).
fof(f710,plain,
( sP0(sk_c7)
| sP1(multiply(sk_c5,sk_c7))
| ~ spl23_7
| ~ spl23_19 ),
inference(superposition,[],[f211,f213]) ).
fof(f213,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl23_7 ),
inference(backward_demodulation,[],[f65,f136]) ).
fof(f136,plain,
( sk_c7 = sF17
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl23_7
<=> sk_c7 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f65,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f686,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_13 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f684,f683]) ).
fof(f683,plain,
( ~ sP10(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f496,f562]) ).
fof(f562,plain,
( sk_c7 = sk_c6
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f560,f532]) ).
fof(f532,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f218,f523]) ).
fof(f523,plain,
( sk_c7 = sk_c8
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f521,f487]) ).
fof(f521,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f481,f485]) ).
fof(f485,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl23_11 ),
inference(backward_demodulation,[],[f88,f171]) ).
fof(f560,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f488,f545]) ).
fof(f545,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl23_8
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f492,f523]) ).
fof(f496,plain,
( ~ sP10(sk_c6)
| ~ spl23_1 ),
inference(backward_demodulation,[],[f102,f107]) ).
fof(f102,plain,
~ sP10(sF12),
inference(definition_folding,[],[f51,f55]) ).
fof(f51,plain,
~ sP10(multiply(sk_c7,sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f684,plain,
( sP10(sk_c7)
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_13 ),
inference(forward_demodulation,[],[f191,f562]) ).
fof(f191,plain,
( sP10(sk_c6)
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl23_13
<=> sP10(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f675,plain,
( ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f673,f672]) ).
fof(f672,plain,
( ~ sP5(sk_c7)
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f46,f562]) ).
fof(f46,plain,
~ sP5(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f673,plain,
( sP5(sk_c7)
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f201,f566]) ).
fof(f566,plain,
( sk_c7 = sF11
| ~ spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f111,f562]) ).
fof(f201,plain,
( sP5(sF11)
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl23_16
<=> sP5(sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f651,plain,
( ~ spl23_2
| ~ spl23_3
| spl23_4
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| spl23_4
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(subsumption_resolution,[],[f649,f528]) ).
fof(f528,plain,
( sk_c7 != sF14
| spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f120,f523]) ).
fof(f120,plain,
( sk_c8 != sF14
| spl23_4 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl23_4
<=> sk_c8 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f649,plain,
( sk_c7 = sF14
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f648,f634]) ).
fof(f634,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f527,f630]) ).
fof(f630,plain,
( sk_c7 = sF15
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f628,f527]) ).
fof(f628,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f604,f622]) ).
fof(f622,plain,
( identity = sk_c7
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f615,f621]) ).
fof(f621,plain,
( ! [X0] : multiply(sF15,X0) = X0
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f620,f1]) ).
fof(f620,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF15,X0)
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f619,f584]) ).
fof(f584,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f580,f242]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl23_7 ),
inference(forward_demodulation,[],[f228,f1]) ).
fof(f228,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl23_7 ),
inference(superposition,[],[f3,f221]) ).
fof(f221,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl23_7 ),
inference(superposition,[],[f2,f213]) ).
fof(f580,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sk_c7,X0)
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f536,f562]) ).
fof(f536,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl23_2
| ~ spl23_7
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f256,f523]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl23_2
| ~ spl23_7 ),
inference(superposition,[],[f229,f242]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl23_2 ),
inference(superposition,[],[f3,f218]) ).
fof(f619,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF15,multiply(sk_c7,X0))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f3,f615]) ).
fof(f615,plain,
( identity = multiply(sF15,sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f2,f527]) ).
fof(f604,plain,
( sk_c7 = inverse(identity)
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f213,f594]) ).
fof(f594,plain,
( identity = sk_c5
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f221,f584]) ).
fof(f527,plain,
( sF15 = inverse(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f61,f523]) ).
fof(f648,plain,
( sF14 = inverse(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f59,f646]) ).
fof(f646,plain,
( sk_c7 = sk_c4
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f629,f645]) ).
fof(f645,plain,
( ! [X0] : multiply(sF14,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f644,f584]) ).
fof(f644,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sF14,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f643,f585]) ).
fof(f585,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f534,f584]) ).
fof(f534,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl23_3
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f233,f523]) ).
fof(f233,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl23_3 ),
inference(superposition,[],[f3,f217]) ).
fof(f217,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl23_3 ),
inference(backward_demodulation,[],[f57,f116]) ).
fof(f116,plain,
( sk_c7 = sF13
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl23_3
<=> sk_c7 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f57,plain,
multiply(sk_c4,sk_c8) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f643,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sF14,multiply(sk_c4,X0))
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f3,f629]) ).
fof(f629,plain,
( sk_c7 = multiply(sF14,sk_c4)
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f616,f622]) ).
fof(f616,plain,
identity = multiply(sF14,sk_c4),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
inverse(sk_c4) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f480,plain,
( ~ spl23_5
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl23_5
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f43,f477]) ).
fof(f477,plain,
( sP2(sk_c6)
| ~ spl23_5
| ~ spl23_18 ),
inference(backward_demodulation,[],[f208,f126]) ).
fof(f126,plain,
( sk_c6 = sF15
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f208,plain,
( sP2(sF15)
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl23_18
<=> sP2(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f43,plain,
~ sP2(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f451,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_17 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f449,f45]) ).
fof(f449,plain,
( sP4(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_17 ),
inference(forward_demodulation,[],[f448,f305]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f295,f292]) ).
fof(f292,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f287,f277]) ).
fof(f277,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f229,f265]) ).
fof(f265,plain,
( sk_c8 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f263,f218]) ).
fof(f263,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f243,f217]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl23_4 ),
inference(forward_demodulation,[],[f231,f1]) ).
fof(f231,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl23_4 ),
inference(superposition,[],[f3,f220]) ).
fof(f220,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl23_4 ),
inference(superposition,[],[f2,f216]) ).
fof(f216,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl23_4 ),
inference(backward_demodulation,[],[f59,f121]) ).
fof(f121,plain,
( sk_c8 = sF14
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f254,f286]) ).
fof(f286,plain,
( sk_c7 = sF12
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f281,f55]) ).
fof(f281,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f255,f265]) ).
fof(f255,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl23_6
| ~ spl23_7 ),
inference(superposition,[],[f242,f214]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c8,multiply(sF12,X0)) = X0
| ~ spl23_2
| ~ spl23_5 ),
inference(forward_demodulation,[],[f253,f1]) ).
fof(f253,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sF12,X0))
| ~ spl23_2
| ~ spl23_5 ),
inference(superposition,[],[f3,f250]) ).
fof(f250,plain,
( identity = multiply(sk_c8,sF12)
| ~ spl23_2
| ~ spl23_5 ),
inference(forward_demodulation,[],[f247,f219]) ).
fof(f219,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl23_5 ),
inference(superposition,[],[f2,f215]) ).
fof(f215,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl23_5 ),
inference(backward_demodulation,[],[f61,f126]) ).
fof(f247,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c8,sF12)
| ~ spl23_2 ),
inference(superposition,[],[f229,f55]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f277,f292]) ).
fof(f448,plain,
( sP4(multiply(sk_c7,sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_17 ),
inference(subsumption_resolution,[],[f445,f311]) ).
fof(f311,plain,
( ~ sP3(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f44,f310]) ).
fof(f310,plain,
( sk_c7 = sk_c8
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f273,f306]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f294,f305]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f278,f292]) ).
fof(f278,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(backward_demodulation,[],[f234,f265]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl23_6 ),
inference(superposition,[],[f3,f214]) ).
fof(f273,plain,
( sk_c8 = multiply(sk_c5,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6 ),
inference(backward_demodulation,[],[f214,f265]) ).
fof(f445,plain,
( sP3(sk_c7)
| sP4(multiply(sk_c7,sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_17 ),
inference(superposition,[],[f443,f326]) ).
fof(f326,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f274,f310]) ).
fof(f274,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5 ),
inference(backward_demodulation,[],[f215,f265]) ).
fof(f443,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP4(multiply(X6,sk_c7)) )
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_17 ),
inference(forward_demodulation,[],[f204,f310]) ).
fof(f442,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f440,f321]) ).
fof(f321,plain,
( ~ sP5(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f268,f310]) ).
fof(f268,plain,
( ~ sP5(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f46,f265]) ).
fof(f440,plain,
( sP5(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_16 ),
inference(forward_demodulation,[],[f201,f322]) ).
fof(f322,plain,
( sk_c7 = sF11
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f269,f310]) ).
fof(f269,plain,
( sk_c8 = sF11
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f111,f265]) ).
fof(f417,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f415,f48]) ).
fof(f415,plain,
( sP7(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(forward_demodulation,[],[f414,f305]) ).
fof(f414,plain,
( sP7(multiply(sk_c7,sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f411,f312]) ).
fof(f312,plain,
( ~ sP6(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f47,f310]) ).
fof(f411,plain,
( sP6(sk_c7)
| sP7(multiply(sk_c7,sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(superposition,[],[f410,f326]) ).
fof(f410,plain,
( ! [X5] :
( sP6(inverse(X5))
| sP7(multiply(X5,sk_c7)) )
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(forward_demodulation,[],[f409,f305]) ).
fof(f409,plain,
( ! [X5] :
( sP7(multiply(sk_c7,multiply(X5,sk_c7)))
| sP6(inverse(X5)) )
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_15 ),
inference(forward_demodulation,[],[f197,f310]) ).
fof(f386,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f384,f313]) ).
fof(f313,plain,
( ~ sP9(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f50,f310]) ).
fof(f384,plain,
( sP9(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(forward_demodulation,[],[f383,f305]) ).
fof(f383,plain,
( sP9(multiply(sk_c7,sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f380,f49]) ).
fof(f380,plain,
( sP8(sk_c7)
| sP9(multiply(sk_c7,sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(superposition,[],[f194,f326]) ).
fof(f353,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_13 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f290,f325]) ).
fof(f325,plain,
( sP10(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_13 ),
inference(backward_demodulation,[],[f272,f310]) ).
fof(f272,plain,
( sP10(sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_13 ),
inference(backward_demodulation,[],[f191,f265]) ).
fof(f290,plain,
( ~ sP10(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f102,f286]) ).
fof(f212,plain,
( spl23_13
| spl23_14
| spl23_15
| spl23_16
| spl23_17
| spl23_18
| spl23_19 ),
inference(avatar_split_clause,[],[f103,f210,f206,f203,f199,f196,f193,f189]) ).
fof(f103,plain,
! [X3,X6,X7,X5] :
( sP0(inverse(X7))
| sP1(multiply(X7,sk_c7))
| sP2(sF15)
| sP3(inverse(X6))
| sP4(multiply(X6,sk_c8))
| sP5(sF11)
| sP6(inverse(X5))
| sP7(multiply(sk_c8,multiply(X5,sk_c8)))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c7))
| sP10(sk_c6) ),
inference(definition_folding,[],[f53,f54,f61]) ).
fof(f53,plain,
! [X3,X6,X7,X5] :
( sP0(inverse(X7))
| sP1(multiply(X7,sk_c7))
| sP2(inverse(sk_c8))
| sP3(inverse(X6))
| sP4(multiply(X6,sk_c8))
| sP5(multiply(sk_c8,sk_c7))
| sP6(inverse(X5))
| sP7(multiply(sk_c8,multiply(X5,sk_c8)))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c7))
| sP10(sk_c6) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X3,X6,X7,X4,X5] :
( sP0(inverse(X7))
| sP1(multiply(X7,sk_c7))
| sP2(inverse(sk_c8))
| sP3(inverse(X6))
| sP4(multiply(X6,sk_c8))
| sP5(multiply(sk_c8,sk_c7))
| sP6(inverse(X5))
| multiply(X5,sk_c8) != X4
| sP7(multiply(sk_c8,X4))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c7))
| sP10(sk_c6) ),
inference(inequality_splitting,[],[f40,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7)
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f187,plain,
( spl23_12
| spl23_7 ),
inference(avatar_split_clause,[],[f101,f134,f179]) ).
fof(f101,plain,
( sk_c7 = sF17
| sk_c8 = sF22 ),
inference(definition_folding,[],[f39,f95,f65]) ).
fof(f39,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f186,plain,
( spl23_12
| spl23_6 ),
inference(avatar_split_clause,[],[f100,f129,f179]) ).
fof(f100,plain,
( sk_c6 = sF16
| sk_c8 = sF22 ),
inference(definition_folding,[],[f38,f95,f63]) ).
fof(f38,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f185,plain,
( spl23_12
| spl23_5 ),
inference(avatar_split_clause,[],[f99,f124,f179]) ).
fof(f99,plain,
( sk_c6 = sF15
| sk_c8 = sF22 ),
inference(definition_folding,[],[f37,f95,f61]) ).
fof(f37,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f184,plain,
( spl23_12
| spl23_4 ),
inference(avatar_split_clause,[],[f98,f119,f179]) ).
fof(f98,plain,
( sk_c8 = sF14
| sk_c8 = sF22 ),
inference(definition_folding,[],[f36,f95,f59]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f183,plain,
( spl23_12
| spl23_3 ),
inference(avatar_split_clause,[],[f97,f114,f179]) ).
fof(f97,plain,
( sk_c7 = sF13
| sk_c8 = sF22 ),
inference(definition_folding,[],[f35,f95,f57]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f182,plain,
( spl23_12
| spl23_2 ),
inference(avatar_split_clause,[],[f96,f109,f179]) ).
fof(f96,plain,
( sk_c6 = sF11
| sk_c8 = sF22 ),
inference(definition_folding,[],[f34,f95,f54]) ).
fof(f34,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f177,plain,
( spl23_11
| spl23_7 ),
inference(avatar_split_clause,[],[f94,f134,f169]) ).
fof(f94,plain,
( sk_c7 = sF17
| sk_c3 = sF21 ),
inference(definition_folding,[],[f33,f88,f65]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f176,plain,
( spl23_11
| spl23_6 ),
inference(avatar_split_clause,[],[f93,f129,f169]) ).
fof(f93,plain,
( sk_c6 = sF16
| sk_c3 = sF21 ),
inference(definition_folding,[],[f32,f88,f63]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f175,plain,
( spl23_11
| spl23_5 ),
inference(avatar_split_clause,[],[f92,f124,f169]) ).
fof(f92,plain,
( sk_c6 = sF15
| sk_c3 = sF21 ),
inference(definition_folding,[],[f31,f88,f61]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f174,plain,
( spl23_11
| spl23_4 ),
inference(avatar_split_clause,[],[f91,f119,f169]) ).
fof(f91,plain,
( sk_c8 = sF14
| sk_c3 = sF21 ),
inference(definition_folding,[],[f30,f88,f59]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f173,plain,
( spl23_11
| spl23_3 ),
inference(avatar_split_clause,[],[f90,f114,f169]) ).
fof(f90,plain,
( sk_c7 = sF13
| sk_c3 = sF21 ),
inference(definition_folding,[],[f29,f88,f57]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f172,plain,
( spl23_11
| spl23_2 ),
inference(avatar_split_clause,[],[f89,f109,f169]) ).
fof(f89,plain,
( sk_c6 = sF11
| sk_c3 = sF21 ),
inference(definition_folding,[],[f28,f88,f54]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f167,plain,
( spl23_10
| spl23_7 ),
inference(avatar_split_clause,[],[f87,f134,f159]) ).
fof(f87,plain,
( sk_c7 = sF17
| sk_c7 = sF20 ),
inference(definition_folding,[],[f27,f81,f65]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f166,plain,
( spl23_10
| spl23_6 ),
inference(avatar_split_clause,[],[f86,f129,f159]) ).
fof(f86,plain,
( sk_c6 = sF16
| sk_c7 = sF20 ),
inference(definition_folding,[],[f26,f81,f63]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f165,plain,
( spl23_10
| spl23_5 ),
inference(avatar_split_clause,[],[f85,f124,f159]) ).
fof(f85,plain,
( sk_c6 = sF15
| sk_c7 = sF20 ),
inference(definition_folding,[],[f25,f81,f61]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f164,plain,
( spl23_10
| spl23_4 ),
inference(avatar_split_clause,[],[f84,f119,f159]) ).
fof(f84,plain,
( sk_c8 = sF14
| sk_c7 = sF20 ),
inference(definition_folding,[],[f24,f81,f59]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f163,plain,
( spl23_10
| spl23_3 ),
inference(avatar_split_clause,[],[f83,f114,f159]) ).
fof(f83,plain,
( sk_c7 = sF13
| sk_c7 = sF20 ),
inference(definition_folding,[],[f23,f81,f57]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f162,plain,
( spl23_10
| spl23_2 ),
inference(avatar_split_clause,[],[f82,f109,f159]) ).
fof(f82,plain,
( sk_c6 = sF11
| sk_c7 = sF20 ),
inference(definition_folding,[],[f22,f81,f54]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f157,plain,
( spl23_9
| spl23_7 ),
inference(avatar_split_clause,[],[f80,f134,f149]) ).
fof(f80,plain,
( sk_c7 = sF17
| sk_c7 = sF19 ),
inference(definition_folding,[],[f21,f74,f65]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f156,plain,
( spl23_9
| spl23_6 ),
inference(avatar_split_clause,[],[f79,f129,f149]) ).
fof(f79,plain,
( sk_c6 = sF16
| sk_c7 = sF19 ),
inference(definition_folding,[],[f20,f74,f63]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f155,plain,
( spl23_9
| spl23_5 ),
inference(avatar_split_clause,[],[f78,f124,f149]) ).
fof(f78,plain,
( sk_c6 = sF15
| sk_c7 = sF19 ),
inference(definition_folding,[],[f19,f74,f61]) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f154,plain,
( spl23_9
| spl23_4 ),
inference(avatar_split_clause,[],[f77,f119,f149]) ).
fof(f77,plain,
( sk_c8 = sF14
| sk_c7 = sF19 ),
inference(definition_folding,[],[f18,f74,f59]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f153,plain,
( spl23_9
| spl23_3 ),
inference(avatar_split_clause,[],[f76,f114,f149]) ).
fof(f76,plain,
( sk_c7 = sF13
| sk_c7 = sF19 ),
inference(definition_folding,[],[f17,f74,f57]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f152,plain,
( spl23_9
| spl23_2 ),
inference(avatar_split_clause,[],[f75,f109,f149]) ).
fof(f75,plain,
( sk_c6 = sF11
| sk_c7 = sF19 ),
inference(definition_folding,[],[f16,f74,f54]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f147,plain,
( spl23_8
| spl23_7 ),
inference(avatar_split_clause,[],[f73,f134,f139]) ).
fof(f73,plain,
( sk_c7 = sF17
| sk_c8 = sF18 ),
inference(definition_folding,[],[f15,f67,f65]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f146,plain,
( spl23_8
| spl23_6 ),
inference(avatar_split_clause,[],[f72,f129,f139]) ).
fof(f72,plain,
( sk_c6 = sF16
| sk_c8 = sF18 ),
inference(definition_folding,[],[f14,f67,f63]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f145,plain,
( spl23_8
| spl23_5 ),
inference(avatar_split_clause,[],[f71,f124,f139]) ).
fof(f71,plain,
( sk_c6 = sF15
| sk_c8 = sF18 ),
inference(definition_folding,[],[f13,f67,f61]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f144,plain,
( spl23_8
| spl23_4 ),
inference(avatar_split_clause,[],[f70,f119,f139]) ).
fof(f70,plain,
( sk_c8 = sF14
| sk_c8 = sF18 ),
inference(definition_folding,[],[f12,f67,f59]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f143,plain,
( spl23_8
| spl23_3 ),
inference(avatar_split_clause,[],[f69,f114,f139]) ).
fof(f69,plain,
( sk_c7 = sF13
| sk_c8 = sF18 ),
inference(definition_folding,[],[f11,f67,f57]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f142,plain,
( spl23_8
| spl23_2 ),
inference(avatar_split_clause,[],[f68,f109,f139]) ).
fof(f68,plain,
( sk_c6 = sF11
| sk_c8 = sF18 ),
inference(definition_folding,[],[f10,f67,f54]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f137,plain,
( spl23_1
| spl23_7 ),
inference(avatar_split_clause,[],[f66,f134,f105]) ).
fof(f66,plain,
( sk_c7 = sF17
| sk_c6 = sF12 ),
inference(definition_folding,[],[f9,f55,f65]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f132,plain,
( spl23_1
| spl23_6 ),
inference(avatar_split_clause,[],[f64,f129,f105]) ).
fof(f64,plain,
( sk_c6 = sF16
| sk_c6 = sF12 ),
inference(definition_folding,[],[f8,f55,f63]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f122,plain,
( spl23_1
| spl23_4 ),
inference(avatar_split_clause,[],[f60,f119,f105]) ).
fof(f60,plain,
( sk_c8 = sF14
| sk_c6 = sF12 ),
inference(definition_folding,[],[f6,f55,f59]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f117,plain,
( spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f58,f114,f105]) ).
fof(f58,plain,
( sk_c7 = sF13
| sk_c6 = sF12 ),
inference(definition_folding,[],[f5,f55,f57]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f112,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f56,f109,f105]) ).
fof(f56,plain,
( sk_c6 = sF11
| sk_c6 = sF12 ),
inference(definition_folding,[],[f4,f55,f54]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP324-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 05:31:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.74 % (29488)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.74 % (29484)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.53/0.74 % (29488)Refutation not found, incomplete strategy% (29488)------------------------------
% 0.53/0.74 % (29488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29488)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29488)Memory used [KB]: 1009
% 0.53/0.74 % (29488)Time elapsed: 0.002 s
% 0.53/0.74 % (29488)Instructions burned: 5 (million)
% 0.53/0.74 % (29487)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.74 % (29485)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.53/0.74 % (29488)------------------------------
% 0.53/0.74 % (29488)------------------------------
% 0.53/0.74 % (29491)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.53/0.74 % (29490)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.53/0.74 % (29489)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.74 % (29484)Refutation not found, incomplete strategy% (29484)------------------------------
% 0.53/0.74 % (29484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29484)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29484)Memory used [KB]: 1010
% 0.53/0.74 % (29484)Time elapsed: 0.004 s
% 0.53/0.74 % (29484)Instructions burned: 4 (million)
% 0.53/0.74 % (29487)Refutation not found, incomplete strategy% (29487)------------------------------
% 0.53/0.74 % (29487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29487)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29487)Memory used [KB]: 1001
% 0.53/0.74 % (29487)Time elapsed: 0.004 s
% 0.53/0.74 % (29487)Instructions burned: 4 (million)
% 0.53/0.74 % (29484)------------------------------
% 0.53/0.74 % (29484)------------------------------
% 0.53/0.74 % (29489)Refutation not found, incomplete strategy% (29489)------------------------------
% 0.53/0.74 % (29489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29489)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29489)Memory used [KB]: 996
% 0.53/0.74 % (29489)Time elapsed: 0.003 s
% 0.53/0.74 % (29489)Instructions burned: 5 (million)
% 0.53/0.74 % (29487)------------------------------
% 0.53/0.74 % (29487)------------------------------
% 0.53/0.74 % (29489)------------------------------
% 0.53/0.74 % (29489)------------------------------
% 0.53/0.74 % (29491)Refutation not found, incomplete strategy% (29491)------------------------------
% 0.53/0.74 % (29491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29491)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29491)Memory used [KB]: 995
% 0.53/0.74 % (29491)Time elapsed: 0.004 s
% 0.53/0.74 % (29491)Instructions burned: 4 (million)
% 0.53/0.74 % (29491)------------------------------
% 0.53/0.74 % (29491)------------------------------
% 0.53/0.74 % (29490)Refutation not found, incomplete strategy% (29490)------------------------------
% 0.53/0.74 % (29490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29495)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.53/0.74 % (29492)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.53/0.74 % (29494)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.53/0.74 % (29495)Refutation not found, incomplete strategy% (29495)------------------------------
% 0.53/0.74 % (29495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (29495)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (29486)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.74 % (29495)Memory used [KB]: 1063
% 0.53/0.74 % (29495)Time elapsed: 0.002 s
% 0.53/0.74 % (29495)Instructions burned: 5 (million)
% 0.53/0.74 % (29495)------------------------------
% 0.53/0.74 % (29495)------------------------------
% 0.53/0.74 % (29493)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.53/0.74 % (29496)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.53/0.75 % (29497)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.53/0.75 % (29486)Refutation not found, incomplete strategy% (29486)------------------------------
% 0.53/0.75 % (29486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (29486)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (29486)Memory used [KB]: 1063
% 0.53/0.75 % (29486)Time elapsed: 0.004 s
% 0.53/0.75 % (29486)Instructions burned: 5 (million)
% 0.53/0.75 % (29493)Refutation not found, incomplete strategy% (29493)------------------------------
% 0.53/0.75 % (29493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (29486)------------------------------
% 0.53/0.75 % (29486)------------------------------
% 0.53/0.75 % (29493)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (29493)Memory used [KB]: 1001
% 0.53/0.75 % (29493)Time elapsed: 0.004 s
% 0.53/0.75 % (29493)Instructions burned: 6 (million)
% 0.53/0.75 % (29496)Refutation not found, incomplete strategy% (29496)------------------------------
% 0.53/0.75 % (29496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (29496)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (29490)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75 % (29496)Memory used [KB]: 997
% 0.53/0.75 % (29496)Time elapsed: 0.004 s
% 0.53/0.75 % (29496)Instructions burned: 5 (million)
% 0.53/0.75
% 0.53/0.75 % (29490)Memory used [KB]: 1077
% 0.53/0.75 % (29490)Time elapsed: 0.007 s
% 0.53/0.75 % (29490)Instructions burned: 6 (million)
% 0.53/0.75 % (29493)------------------------------
% 0.53/0.75 % (29493)------------------------------
% 0.53/0.75 % (29492)Refutation not found, incomplete strategy% (29492)------------------------------
% 0.53/0.75 % (29492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (29492)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (29492)Memory used [KB]: 1073
% 0.53/0.75 % (29492)Time elapsed: 0.008 s
% 0.53/0.75 % (29492)Instructions burned: 5 (million)
% 0.53/0.75 % (29496)------------------------------
% 0.53/0.75 % (29496)------------------------------
% 0.53/0.75 % (29490)------------------------------
% 0.53/0.75 % (29490)------------------------------
% 0.53/0.75 % (29497)Refutation not found, incomplete strategy% (29497)------------------------------
% 0.53/0.75 % (29497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75 % (29497)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75
% 0.53/0.75 % (29497)Memory used [KB]: 1016
% 0.53/0.75 % (29497)Time elapsed: 0.002 s
% 0.53/0.75 % (29497)Instructions burned: 4 (million)
% 0.63/0.75 % (29497)------------------------------
% 0.63/0.75 % (29497)------------------------------
% 0.63/0.75 % (29492)------------------------------
% 0.63/0.75 % (29492)------------------------------
% 0.63/0.75 % (29494)Refutation not found, incomplete strategy% (29494)------------------------------
% 0.63/0.75 % (29494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.75 % (29494)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.75
% 0.63/0.75 % (29494)Memory used [KB]: 1115
% 0.63/0.75 % (29494)Time elapsed: 0.008 s
% 0.63/0.75 % (29494)Instructions burned: 12 (million)
% 0.63/0.75 % (29494)------------------------------
% 0.63/0.75 % (29494)------------------------------
% 0.63/0.75 % (29501)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.63/0.75 % (29499)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.63/0.75 % (29500)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.63/0.75 % (29498)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.63/0.75 % (29502)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.63/0.75 % (29499)Refutation not found, incomplete strategy% (29499)------------------------------
% 0.63/0.75 % (29499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.75 % (29499)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.75
% 0.63/0.75 % (29499)Memory used [KB]: 996
% 0.63/0.75 % (29499)Time elapsed: 0.003 s
% 0.63/0.75 % (29499)Instructions burned: 4 (million)
% 0.63/0.75 % (29504)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2996ds/1919Mi)
% 0.63/0.75 % (29500)Refutation not found, incomplete strategy% (29500)------------------------------
% 0.63/0.75 % (29500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.75 % (29500)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.75
% 0.63/0.75 % (29500)Memory used [KB]: 1011
% 0.63/0.75 % (29500)Time elapsed: 0.004 s
% 0.63/0.75 % (29500)Instructions burned: 4 (million)
% 0.63/0.75 % (29499)------------------------------
% 0.63/0.75 % (29499)------------------------------
% 0.63/0.75 % (29500)------------------------------
% 0.63/0.75 % (29500)------------------------------
% 0.63/0.76 % (29502)Refutation not found, incomplete strategy% (29502)------------------------------
% 0.63/0.76 % (29502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (29502)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (29502)Memory used [KB]: 996
% 0.63/0.76 % (29502)Time elapsed: 0.005 s
% 0.63/0.76 % (29502)Instructions burned: 3 (million)
% 0.63/0.76 % (29502)------------------------------
% 0.63/0.76 % (29502)------------------------------
% 0.63/0.76 % (29503)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2996ds/32Mi)
% 0.63/0.76 % (29504)Refutation not found, incomplete strategy% (29504)------------------------------
% 0.63/0.76 % (29504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (29504)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (29504)Memory used [KB]: 1064
% 0.63/0.76 % (29504)Time elapsed: 0.005 s
% 0.63/0.76 % (29504)Instructions burned: 6 (million)
% 0.63/0.76 % (29504)------------------------------
% 0.63/0.76 % (29504)------------------------------
% 0.63/0.76 % (29505)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2996ds/55Mi)
% 0.63/0.76 % (29506)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2996ds/53Mi)
% 0.63/0.76 % (29498)Refutation not found, incomplete strategy% (29498)------------------------------
% 0.63/0.76 % (29498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (29498)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (29498)Memory used [KB]: 1100
% 0.63/0.76 % (29498)Time elapsed: 0.009 s
% 0.63/0.76 % (29498)Instructions burned: 13 (million)
% 0.63/0.76 % (29498)------------------------------
% 0.63/0.76 % (29498)------------------------------
% 0.63/0.76 % (29505)Refutation not found, incomplete strategy% (29505)------------------------------
% 0.63/0.76 % (29505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (29505)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (29505)Memory used [KB]: 1035
% 0.63/0.76 % (29505)Time elapsed: 0.003 s
% 0.63/0.76 % (29505)Instructions burned: 5 (million)
% 0.63/0.76 % (29505)------------------------------
% 0.63/0.76 % (29505)------------------------------
% 0.63/0.76 % (29508)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2996ds/102Mi)
% 0.63/0.76 % (29507)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2996ds/46Mi)
% 0.63/0.76 % (29485)Instruction limit reached!
% 0.63/0.76 % (29485)------------------------------
% 0.63/0.76 % (29485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (29485)Termination reason: Unknown
% 0.63/0.76 % (29485)Termination phase: Saturation
% 0.63/0.76
% 0.63/0.76 % (29485)Memory used [KB]: 1678
% 0.63/0.76 % (29485)Time elapsed: 0.028 s
% 0.63/0.76 % (29485)Instructions burned: 52 (million)
% 0.63/0.76 % (29485)------------------------------
% 0.63/0.76 % (29485)------------------------------
% 0.71/0.76 % (29507)Refutation not found, incomplete strategy% (29507)------------------------------
% 0.71/0.76 % (29507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.76 % (29507)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.76
% 0.71/0.76 % (29507)Memory used [KB]: 1009
% 0.71/0.76 % (29507)Time elapsed: 0.003 s
% 0.71/0.76 % (29507)Instructions burned: 4 (million)
% 0.71/0.76 % (29507)------------------------------
% 0.71/0.76 % (29507)------------------------------
% 0.71/0.76 % (29509)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.71/0.77 % (29508)Refutation not found, incomplete strategy% (29508)------------------------------
% 0.71/0.77 % (29508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (29508)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.77
% 0.71/0.77 % (29508)Memory used [KB]: 1081
% 0.71/0.77 % (29508)Time elapsed: 0.005 s
% 0.71/0.77 % (29508)Instructions burned: 6 (million)
% 0.71/0.77 % (29508)------------------------------
% 0.71/0.77 % (29508)------------------------------
% 0.71/0.77 % (29512)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.71/0.77 % (29511)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.71/0.77 % (29510)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.71/0.77 % (29512)Refutation not found, incomplete strategy% (29512)------------------------------
% 0.71/0.77 % (29512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (29512)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.77
% 0.71/0.77 % (29512)Memory used [KB]: 990
% 0.71/0.77 % (29512)Time elapsed: 0.002 s
% 0.71/0.77 % (29512)Instructions burned: 4 (million)
% 0.71/0.77 % (29512)------------------------------
% 0.71/0.77 % (29512)------------------------------
% 0.71/0.77 % (29514)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.71/0.77 % (29513)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.71/0.77 % (29513)Refutation not found, incomplete strategy% (29513)------------------------------
% 0.71/0.77 % (29513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (29513)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.77
% 0.71/0.77 % (29513)Memory used [KB]: 1019
% 0.71/0.77 % (29513)Time elapsed: 0.004 s
% 0.71/0.77 % (29513)Instructions burned: 4 (million)
% 0.71/0.77 % (29513)------------------------------
% 0.71/0.77 % (29513)------------------------------
% 0.71/0.77 % (29503)Instruction limit reached!
% 0.71/0.77 % (29503)------------------------------
% 0.71/0.77 % (29503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (29503)Termination reason: Unknown
% 0.71/0.77 % (29503)Termination phase: Saturation
% 0.71/0.77
% 0.71/0.77 % (29503)Memory used [KB]: 1362
% 0.71/0.77 % (29503)Time elapsed: 0.020 s
% 0.71/0.77 % (29503)Instructions burned: 33 (million)
% 0.71/0.77 % (29503)------------------------------
% 0.71/0.77 % (29503)------------------------------
% 0.71/0.78 % (29501)Instruction limit reached!
% 0.71/0.78 % (29501)------------------------------
% 0.71/0.78 % (29501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.78 % (29501)Termination reason: Unknown
% 0.71/0.78 % (29501)Termination phase: Saturation
% 0.71/0.78
% 0.71/0.78 % (29501)Memory used [KB]: 2193
% 0.71/0.78 % (29501)Time elapsed: 0.027 s
% 0.71/0.78 % (29501)Instructions burned: 94 (million)
% 0.71/0.78 % (29501)------------------------------
% 0.71/0.78 % (29501)------------------------------
% 0.71/0.78 % (29515)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 0.71/0.78 % (29517)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 0.71/0.78 % (29516)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 0.71/0.78 % (29509)Instruction limit reached!
% 0.71/0.78 % (29509)------------------------------
% 0.71/0.78 % (29509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.78 % (29509)Termination reason: Unknown
% 0.71/0.78 % (29509)Termination phase: Saturation
% 0.71/0.78
% 0.71/0.78 % (29509)Memory used [KB]: 1177
% 0.71/0.78 % (29509)Time elapsed: 0.019 s
% 0.71/0.78 % (29509)Instructions burned: 37 (million)
% 0.71/0.78 % (29509)------------------------------
% 0.71/0.78 % (29509)------------------------------
% 0.71/0.78 % (29506)Instruction limit reached!
% 0.71/0.78 % (29506)------------------------------
% 0.71/0.78 % (29506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.78 % (29506)Termination reason: Unknown
% 0.71/0.78 % (29506)Termination phase: Saturation
% 0.71/0.78
% 0.71/0.78 % (29506)Memory used [KB]: 1205
% 0.71/0.78 % (29506)Time elapsed: 0.028 s
% 0.71/0.78 % (29506)Instructions burned: 54 (million)
% 0.71/0.78 % (29506)------------------------------
% 0.71/0.78 % (29506)------------------------------
% 0.71/0.79 % (29518)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2995ds/37Mi)
% 0.71/0.79 % (29519)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2995ds/55Mi)
% 0.71/0.79 % (29514)Instruction limit reached!
% 0.71/0.79 % (29514)------------------------------
% 0.71/0.79 % (29514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.79 % (29514)Termination reason: Unknown
% 0.71/0.79 % (29514)Termination phase: Saturation
% 0.71/0.79
% 0.71/0.79 % (29514)Memory used [KB]: 1573
% 0.71/0.79 % (29514)Time elapsed: 0.022 s
% 0.71/0.79 % (29514)Instructions burned: 40 (million)
% 0.71/0.79 % (29514)------------------------------
% 0.71/0.79 % (29514)------------------------------
% 0.71/0.80 % (29520)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2995ds/47Mi)
% 0.71/0.80 % (29517)Instruction limit reached!
% 0.71/0.80 % (29517)------------------------------
% 0.71/0.80 % (29517)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.80 % (29517)Termination reason: Unknown
% 0.71/0.80 % (29517)Termination phase: Saturation
% 0.71/0.80
% 0.71/0.80 % (29517)Memory used [KB]: 1342
% 0.71/0.80 % (29517)Time elapsed: 0.022 s
% 0.71/0.80 % (29517)Instructions burned: 80 (million)
% 0.71/0.80 % (29517)------------------------------
% 0.71/0.80 % (29517)------------------------------
% 0.71/0.80 % (29515)First to succeed.
% 0.71/0.80 % (29521)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2995ds/32Mi)
% 0.71/0.80 % (29521)Refutation not found, incomplete strategy% (29521)------------------------------
% 0.71/0.80 % (29521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.80 % (29521)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.80
% 0.71/0.80 % (29521)Memory used [KB]: 995
% 0.71/0.80 % (29521)Time elapsed: 0.002 s
% 0.71/0.80 % (29521)Instructions burned: 4 (million)
% 0.71/0.80 % (29521)------------------------------
% 0.71/0.80 % (29521)------------------------------
% 0.71/0.81 % (29510)Instruction limit reached!
% 0.71/0.81 % (29510)------------------------------
% 0.71/0.81 % (29510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.81 % (29510)Termination reason: Unknown
% 0.71/0.81 % (29510)Termination phase: Saturation
% 0.71/0.81
% 0.71/0.81 % (29510)Memory used [KB]: 1397
% 0.71/0.81 % (29510)Time elapsed: 0.040 s
% 0.71/0.81 % (29510)Instructions burned: 90 (million)
% 0.71/0.81 % (29510)------------------------------
% 0.71/0.81 % (29510)------------------------------
% 0.71/0.81 % (29518)Instruction limit reached!
% 0.71/0.81 % (29518)------------------------------
% 0.71/0.81 % (29518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.81 % (29518)Termination reason: Unknown
% 0.71/0.81 % (29518)Termination phase: Saturation
% 0.71/0.81
% 0.71/0.81 % (29518)Memory used [KB]: 1578
% 0.71/0.81 % (29518)Time elapsed: 0.022 s
% 0.71/0.81 % (29518)Instructions burned: 37 (million)
% 0.71/0.81 % (29518)------------------------------
% 0.71/0.81 % (29518)------------------------------
% 0.71/0.81 % (29523)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2995ds/54Mi)
% 0.71/0.81 % (29515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29483"
% 0.71/0.81 % (29522)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2995ds/132Mi)
% 0.71/0.81 % (29523)Refutation not found, incomplete strategy% (29523)------------------------------
% 0.71/0.81 % (29523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.81 % (29523)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.81
% 0.71/0.81 % (29523)Memory used [KB]: 998
% 0.71/0.81 % (29523)Time elapsed: 0.002 s
% 0.71/0.81 % (29515)Refutation found. Thanks to Tanya!
% 0.71/0.81 % SZS status Unsatisfiable for theBenchmark
% 0.71/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 1.02/0.81 % (29515)------------------------------
% 1.02/0.81 % (29515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.81 % (29515)Termination reason: Refutation
% 1.02/0.81
% 1.02/0.81 % (29515)Memory used [KB]: 1310
% 1.02/0.81 % (29515)Time elapsed: 0.033 s
% 1.02/0.81 % (29515)Instructions burned: 49 (million)
% 1.02/0.81 % (29483)Success in time 0.441 s
% 1.02/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------