TSTP Solution File: GRP383-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP383-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:47:38 EDT 2024
% Result : Unsatisfiable 0.72s 0.76s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 82
% Syntax : Number of formulae : 378 ( 35 unt; 0 def)
% Number of atoms : 1309 ( 312 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1719 ( 788 ~; 908 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 24 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1181,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f116,f121,f126,f131,f136,f137,f138,f139,f140,f145,f146,f147,f148,f149,f154,f155,f156,f157,f158,f163,f164,f165,f166,f172,f173,f174,f175,f181,f182,f183,f184,f210,f217,f380,f386,f389,f408,f462,f469,f494,f571,f613,f699,f754,f757,f809,f828,f884,f992,f1031,f1179]) ).
fof(f1179,plain,
( ~ spl23_6
| ~ spl23_46 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1178,plain,
( $false
| ~ spl23_6
| ~ spl23_46 ),
inference(subsumption_resolution,[],[f1177,f40]) ).
fof(f40,plain,
~ sP0(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1177,plain,
( sP0(sk_c7)
| ~ spl23_6
| ~ spl23_46 ),
inference(forward_demodulation,[],[f883,f130]) ).
fof(f130,plain,
( sk_c7 = sF16
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl23_6
<=> sk_c7 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f883,plain,
( sP0(sF16)
| ~ spl23_46 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl23_46
<=> sP0(sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_46])]) ).
fof(f1031,plain,
( ~ spl23_5
| ~ spl23_45 ),
inference(avatar_contradiction_clause,[],[f1030]) ).
fof(f1030,plain,
( $false
| ~ spl23_5
| ~ spl23_45 ),
inference(subsumption_resolution,[],[f1028,f41]) ).
fof(f41,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1028,plain,
( sP1(sk_c7)
| ~ spl23_5
| ~ spl23_45 ),
inference(backward_demodulation,[],[f879,f125]) ).
fof(f125,plain,
( sk_c7 = sF15
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl23_5
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f879,plain,
( sP1(sF15)
| ~ spl23_45 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl23_45
<=> sP1(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f992,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| ~ spl23_1
| spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(subsumption_resolution,[],[f990,f961]) ).
fof(f961,plain,
( sk_c7 != sk_c6
| ~ spl23_1
| spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f109,f959]) ).
fof(f959,plain,
( sk_c7 = sF11
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f953,f918]) ).
fof(f918,plain,
( sF11 = multiply(sk_c2,sk_c7)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_12 ),
inference(forward_demodulation,[],[f913,f777]) ).
fof(f777,plain,
( multiply(sk_c7,sk_c8) = sF11
| ~ spl23_1 ),
inference(backward_demodulation,[],[f496,f772]) ).
fof(f772,plain,
( identity = sF11
| ~ spl23_1 ),
inference(forward_demodulation,[],[f53,f496]) ).
fof(f53,plain,
multiply(sk_c7,sk_c8) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f496,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl23_1 ),
inference(forward_demodulation,[],[f218,f106]) ).
fof(f106,plain,
( sk_c7 = sF12
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl23_1
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f218,plain,
identity = multiply(sF12,sk_c8),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
inverse(sk_c8) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',left_inverse) ).
fof(f913,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7)
| ~ spl23_10
| ~ spl23_12 ),
inference(superposition,[],[f532,f528]) ).
fof(f528,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl23_12 ),
inference(backward_demodulation,[],[f94,f180]) ).
fof(f180,plain,
( sk_c7 = sF22
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl23_12
<=> sk_c7 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f94,plain,
multiply(sk_c3,sk_c8) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f532,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl23_10 ),
inference(backward_demodulation,[],[f232,f162]) ).
fof(f162,plain,
( sk_c7 = sF20
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl23_10
<=> sk_c7 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f232,plain,
! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sF20,X0),
inference(superposition,[],[f3,f82]) ).
fof(f82,plain,
multiply(sk_c2,sk_c3) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',associativity) ).
fof(f953,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f533,f949]) ).
fof(f949,plain,
( sk_c7 = sk_c3
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f932,f894]) ).
fof(f894,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11 ),
inference(superposition,[],[f786,f533]) ).
fof(f786,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl23_1
| ~ spl23_11 ),
inference(forward_demodulation,[],[f785,f773]) ).
fof(f773,plain,
( ! [X0] : multiply(sF11,X0) = X0
| ~ spl23_1 ),
inference(backward_demodulation,[],[f1,f772]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',left_identity) ).
fof(f785,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = multiply(sF11,X0)
| ~ spl23_1
| ~ spl23_11 ),
inference(superposition,[],[f3,f776]) ).
fof(f776,plain,
( sF11 = multiply(sk_c3,sk_c2)
| ~ spl23_1
| ~ spl23_11 ),
inference(backward_demodulation,[],[f770,f772]) ).
fof(f770,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl23_11 ),
inference(forward_demodulation,[],[f222,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(f222,plain,
identity = multiply(sF21,sk_c2),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
inverse(sk_c2) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f932,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f528,f922]) ).
fof(f922,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11 ),
inference(forward_demodulation,[],[f921,f533]) ).
fof(f921,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11 ),
inference(forward_demodulation,[],[f914,f905]) ).
fof(f905,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f535,f900]) ).
fof(f900,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl23_1
| ~ spl23_8 ),
inference(superposition,[],[f788,f784]) ).
fof(f784,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl23_1
| ~ spl23_8 ),
inference(forward_demodulation,[],[f783,f773]) ).
fof(f783,plain,
( ! [X0] : multiply(sF11,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl23_1
| ~ spl23_8 ),
inference(superposition,[],[f3,f775]) ).
fof(f775,plain,
( sF11 = multiply(sk_c8,sk_c1)
| ~ spl23_1
| ~ spl23_8 ),
inference(backward_demodulation,[],[f771,f772]) ).
fof(f771,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl23_8 ),
inference(forward_demodulation,[],[f221,f144]) ).
fof(f144,plain,
( sk_c8 = sF18
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl23_8
<=> sk_c8 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f221,plain,
identity = multiply(sF18,sk_c1),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
inverse(sk_c1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f788,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl23_1 ),
inference(forward_demodulation,[],[f787,f773]) ).
fof(f787,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sF11,X0)
| ~ spl23_1 ),
inference(superposition,[],[f3,f777]) ).
fof(f535,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f76,f153]) ).
fof(f153,plain,
( sk_c8 = sF19
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl23_9
<=> sk_c8 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f76,plain,
multiply(sk_c1,sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f914,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_11 ),
inference(superposition,[],[f532,f894]) ).
fof(f533,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl23_10 ),
inference(backward_demodulation,[],[f82,f162]) ).
fof(f109,plain,
( sk_c6 != sF11
| spl23_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl23_2
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f990,plain,
( sk_c7 = sk_c6
| ~ spl23_1
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f934,f963]) ).
fof(f963,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f773,f959]) ).
fof(f934,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl23_1
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11 ),
inference(backward_demodulation,[],[f579,f922]) ).
fof(f579,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl23_7 ),
inference(forward_demodulation,[],[f64,f135]) ).
fof(f135,plain,
( sk_c8 = sF17
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl23_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f64,plain,
multiply(sk_c7,sk_c6) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f884,plain,
( spl23_45
| spl23_46
| ~ spl23_19 ),
inference(avatar_split_clause,[],[f875,f208,f881,f877]) ).
fof(f208,plain,
( spl23_19
<=> ! [X7] :
( sP0(multiply(X7,sk_c6))
| sP1(inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f875,plain,
( sP0(sF16)
| sP1(sF15)
| ~ spl23_19 ),
inference(forward_demodulation,[],[f873,f62]) ).
fof(f62,plain,
multiply(sk_c5,sk_c6) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f873,plain,
( sP1(sF15)
| sP0(multiply(sk_c5,sk_c6))
| ~ spl23_19 ),
inference(superposition,[],[f209,f60]) ).
fof(f60,plain,
inverse(sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f209,plain,
( ! [X7] :
( sP1(inverse(X7))
| sP0(multiply(X7,sk_c6)) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f828,plain,
( ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f826,f46]) ).
fof(f46,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f826,plain,
( sP6(sk_c7)
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f825,f533]) ).
fof(f825,plain,
( sP6(multiply(sk_c2,sk_c3))
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f824,f45]) ).
fof(f45,plain,
~ sP5(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f824,plain,
( sP5(sk_c7)
| sP6(multiply(sk_c2,sk_c3))
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f811,f528]) ).
fof(f811,plain,
( sP5(multiply(sk_c3,sk_c8))
| sP6(multiply(sk_c2,sk_c3))
| ~ spl23_11
| ~ spl23_16 ),
inference(superposition,[],[f199,f531]) ).
fof(f531,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl23_11 ),
inference(backward_demodulation,[],[f88,f171]) ).
fof(f199,plain,
( ! [X4] :
( sP5(multiply(inverse(X4),sk_c8))
| sP6(multiply(X4,inverse(X4))) )
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl23_16
<=> ! [X4] :
( sP5(multiply(inverse(X4),sk_c8))
| sP6(multiply(X4,inverse(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f809,plain,
( ~ spl23_8
| ~ spl23_9
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| ~ spl23_8
| ~ spl23_9
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f807,f47]) ).
fof(f47,plain,
~ sP7(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f807,plain,
( sP7(sk_c8)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_15 ),
inference(forward_demodulation,[],[f806,f535]) ).
fof(f806,plain,
( sP7(multiply(sk_c1,sk_c7))
| ~ spl23_8
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f796,f48]) ).
fof(f48,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f796,plain,
( sP8(sk_c8)
| sP7(multiply(sk_c1,sk_c7))
| ~ spl23_8
| ~ spl23_15 ),
inference(superposition,[],[f196,f537]) ).
fof(f537,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl23_8 ),
inference(backward_demodulation,[],[f70,f144]) ).
fof(f196,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP7(multiply(X3,sk_c7)) )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl23_15
<=> ! [X3] :
( sP7(multiply(X3,sk_c7))
| sP8(inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f757,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f756]) ).
fof(f756,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f755,f707]) ).
fof(f707,plain,
( ~ sP9(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f49,f674]) ).
fof(f674,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f663,f668]) ).
fof(f668,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f667,f575]) ).
fof(f575,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7 ),
inference(backward_demodulation,[],[f509,f573]) ).
fof(f573,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7 ),
inference(forward_demodulation,[],[f510,f135]) ).
fof(f510,plain,
( ! [X0] : multiply(sF17,X0) = multiply(sk_c7,X0)
| ~ spl23_1
| ~ spl23_2 ),
inference(backward_demodulation,[],[f228,f499]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl23_1
| ~ spl23_2 ),
inference(backward_demodulation,[],[f1,f498]) ).
fof(f498,plain,
( identity = sk_c6
| ~ spl23_1
| ~ spl23_2 ),
inference(forward_demodulation,[],[f216,f496]) ).
fof(f216,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl23_2 ),
inference(backward_demodulation,[],[f53,f110]) ).
fof(f110,plain,
( sk_c6 = sF11
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f228,plain,
! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sF17,X0),
inference(superposition,[],[f3,f64]) ).
fof(f509,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl23_1
| ~ spl23_2 ),
inference(backward_demodulation,[],[f227,f499]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl23_2 ),
inference(superposition,[],[f3,f216]) ).
fof(f667,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f660,f573]) ).
fof(f660,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f577,f656]) ).
fof(f656,plain,
( sk_c8 = sk_c1
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8 ),
inference(forward_demodulation,[],[f645,f579]) ).
fof(f645,plain,
( multiply(sk_c7,sk_c6) = sk_c1
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8 ),
inference(superposition,[],[f575,f574]) ).
fof(f574,plain,
( sk_c6 = multiply(sk_c7,sk_c1)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8 ),
inference(backward_demodulation,[],[f536,f573]) ).
fof(f536,plain,
( sk_c6 = multiply(sk_c8,sk_c1)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_8 ),
inference(backward_demodulation,[],[f503,f144]) ).
fof(f503,plain,
( sk_c6 = multiply(sF18,sk_c1)
| ~ spl23_1
| ~ spl23_2 ),
inference(backward_demodulation,[],[f221,f498]) ).
fof(f577,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f534,f573]) ).
fof(f534,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl23_9 ),
inference(backward_demodulation,[],[f231,f153]) ).
fof(f231,plain,
! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f76]) ).
fof(f663,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f658,f573]) ).
fof(f658,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f535,f656]) ).
fof(f49,plain,
~ sP9(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f755,plain,
( sP9(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_14 ),
inference(forward_demodulation,[],[f193,f709]) ).
fof(f709,plain,
( sk_c7 = sF17
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f135,f674]) ).
fof(f193,plain,
( sP9(sF17)
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl23_14
<=> sP9(sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f754,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_19 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f752,f40]) ).
fof(f752,plain,
( sP0(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_19 ),
inference(forward_demodulation,[],[f751,f668]) ).
fof(f751,plain,
( sP0(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f750,f41]) ).
fof(f750,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_19 ),
inference(superposition,[],[f749,f713]) ).
fof(f713,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f497,f674]) ).
fof(f497,plain,
( inverse(sk_c8) = sk_c7
| ~ spl23_1 ),
inference(forward_demodulation,[],[f54,f106]) ).
fof(f749,plain,
( ! [X7] :
( sP1(inverse(X7))
| sP0(multiply(X7,sk_c7)) )
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_19 ),
inference(forward_demodulation,[],[f209,f716]) ).
fof(f716,plain,
( sk_c7 = sk_c6
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f673,f674]) ).
fof(f673,plain,
( sk_c8 = sk_c6
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f507,f668]) ).
fof(f507,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl23_1
| ~ spl23_2 ),
inference(backward_demodulation,[],[f496,f498]) ).
fof(f699,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f698,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9 ),
inference(subsumption_resolution,[],[f674,f654]) ).
fof(f654,plain,
( sk_c8 != sk_c7
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f129,f653]) ).
fof(f653,plain,
( sk_c8 = sF16
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f652,f579]) ).
fof(f652,plain,
( multiply(sk_c7,sk_c6) = sF16
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f648,f573]) ).
fof(f648,plain,
( sF16 = multiply(sk_c8,sk_c6)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(backward_demodulation,[],[f62,f647]) ).
fof(f647,plain,
( sk_c8 = sk_c5
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(forward_demodulation,[],[f644,f579]) ).
fof(f644,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_7 ),
inference(superposition,[],[f575,f502]) ).
fof(f502,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5 ),
inference(backward_demodulation,[],[f220,f498]) ).
fof(f220,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl23_5 ),
inference(superposition,[],[f2,f212]) ).
fof(f212,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl23_5 ),
inference(backward_demodulation,[],[f60,f125]) ).
fof(f129,plain,
( sk_c7 != sF16
| spl23_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f613,plain,
( ~ spl23_9
| ~ spl23_32 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl23_9
| ~ spl23_32 ),
inference(subsumption_resolution,[],[f611,f42]) ).
fof(f42,plain,
~ sP2(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f611,plain,
( sP2(sk_c8)
| ~ spl23_9
| ~ spl23_32 ),
inference(backward_demodulation,[],[f493,f535]) ).
fof(f493,plain,
( sP2(multiply(sk_c1,sk_c7))
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl23_32
<=> sP2(multiply(sk_c1,sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f571,plain,
( ~ spl23_8
| ~ spl23_28 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl23_8
| ~ spl23_28 ),
inference(subsumption_resolution,[],[f43,f569]) ).
fof(f569,plain,
( sP3(sk_c8)
| ~ spl23_8
| ~ spl23_28 ),
inference(backward_demodulation,[],[f475,f144]) ).
fof(f475,plain,
( sP3(sF18)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl23_28
<=> sP3(sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f43,plain,
~ sP3(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f494,plain,
( spl23_32
| spl23_28
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f464,f205,f473,f491]) ).
fof(f205,plain,
( spl23_18
<=> ! [X6] :
( sP2(multiply(X6,sk_c7))
| sP3(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f464,plain,
( sP3(sF18)
| sP2(multiply(sk_c1,sk_c7))
| ~ spl23_18 ),
inference(superposition,[],[f206,f70]) ).
fof(f206,plain,
( ! [X6] :
( sP3(inverse(X6))
| sP2(multiply(X6,sk_c7)) )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f469,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f467,f301]) ).
fof(f301,plain,
( ~ sP2(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f42,f300]) ).
fof(f300,plain,
( sk_c8 = sk_c7
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f299,f213]) ).
fof(f213,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl23_4 ),
inference(backward_demodulation,[],[f58,f120]) ).
fof(f120,plain,
( sk_c8 = sF14
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl23_4
<=> sk_c8 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f58,plain,
multiply(sk_c4,sk_c7) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f299,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f298,f269]) ).
fof(f269,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f262,f268]) ).
fof(f268,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f261,f240]) ).
fof(f240,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f237,f213]) ).
fof(f237,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl23_3 ),
inference(forward_demodulation,[],[f226,f1]) ).
fof(f226,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl23_3 ),
inference(superposition,[],[f3,f219]) ).
fof(f219,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl23_3 ),
inference(superposition,[],[f2,f214]) ).
fof(f214,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl23_3 ),
inference(backward_demodulation,[],[f56,f115]) ).
fof(f115,plain,
( sk_c8 = sF13
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl23_3
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f56,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f261,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl23_2
| ~ spl23_4 ),
inference(superposition,[],[f229,f216]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl23_4 ),
inference(superposition,[],[f3,f213]) ).
fof(f262,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c7)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f229,f250]) ).
fof(f250,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f239,f211]) ).
fof(f211,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl23_6 ),
inference(backward_demodulation,[],[f62,f130]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl23_5 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f238,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl23_5 ),
inference(superposition,[],[f3,f220]) ).
fof(f298,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c8,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f292,f295]) ).
fof(f295,plain,
( sk_c7 = sF17
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f288,f278]) ).
fof(f278,plain,
( sF17 = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f64,f277]) ).
fof(f277,plain,
( sk_c7 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f276,f216]) ).
fof(f276,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f272,f211]) ).
fof(f272,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c6)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f230,f252]) ).
fof(f252,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f248,f250]) ).
fof(f248,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f227,f240]) ).
fof(f230,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl23_6 ),
inference(superposition,[],[f3,f211]) ).
fof(f288,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f250,f277]) ).
fof(f292,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c4,sF17)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f263,f277]) ).
fof(f263,plain,
( multiply(sk_c8,sk_c6) = multiply(sk_c4,sF17)
| ~ spl23_4 ),
inference(superposition,[],[f229,f64]) ).
fof(f467,plain,
( sP2(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_18 ),
inference(forward_demodulation,[],[f466,f326]) ).
fof(f326,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f316,f287]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f244,f277]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl23_2
| ~ spl23_3 ),
inference(superposition,[],[f227,f237]) ).
fof(f316,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f237,f300]) ).
fof(f466,plain,
( sP2(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f463,f302]) ).
fof(f302,plain,
( ~ sP3(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f43,f300]) ).
fof(f463,plain,
( sP3(sk_c7)
| sP2(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_18 ),
inference(superposition,[],[f206,f382]) ).
fof(f382,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f306,f106]) ).
fof(f306,plain,
( sF12 = inverse(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f54,f300]) ).
fof(f462,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f460,f46]) ).
fof(f460,plain,
( sP6(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(forward_demodulation,[],[f459,f382]) ).
fof(f459,plain,
( sP6(inverse(sk_c7))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(forward_demodulation,[],[f458,f326]) ).
fof(f458,plain,
( sP6(multiply(sk_c7,inverse(sk_c7)))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f433,f45]) ).
fof(f433,plain,
( sP5(sk_c7)
| sP6(multiply(sk_c7,inverse(sk_c7)))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(superposition,[],[f429,f373]) ).
fof(f373,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f2,f371]) ).
fof(f371,plain,
( identity = sk_c7
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f312,f370]) ).
fof(f370,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f369,f1]) ).
fof(f369,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f368,f326]) ).
fof(f368,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c7,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f3,f312]) ).
fof(f312,plain,
( identity = multiply(sF12,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f218,f300]) ).
fof(f429,plain,
( ! [X4] :
( sP5(multiply(inverse(X4),sk_c7))
| sP6(multiply(X4,inverse(X4))) )
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_16 ),
inference(forward_demodulation,[],[f199,f300]) ).
fof(f408,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f406,f303]) ).
fof(f303,plain,
( ~ sP7(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f47,f300]) ).
fof(f406,plain,
( sP7(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_15 ),
inference(forward_demodulation,[],[f405,f326]) ).
fof(f405,plain,
( sP7(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f402,f304]) ).
fof(f304,plain,
( ~ sP8(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f48,f300]) ).
fof(f402,plain,
( sP8(sk_c7)
| sP7(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_15 ),
inference(superposition,[],[f196,f382]) ).
fof(f389,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f387,f305]) ).
fof(f305,plain,
( ~ sP9(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f49,f300]) ).
fof(f387,plain,
( sP9(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_14 ),
inference(forward_demodulation,[],[f193,f295]) ).
fof(f386,plain,
( ~ spl23_13
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f383,f104,f187]) ).
fof(f187,plain,
( spl23_13
<=> sP10(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f383,plain,
( ~ sP10(sk_c7)
| ~ spl23_1 ),
inference(backward_demodulation,[],[f100,f106]) ).
fof(f100,plain,
~ sP10(sF12),
inference(definition_folding,[],[f50,f54]) ).
fof(f50,plain,
~ sP10(inverse(sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f380,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f379,f128,f123,f118,f113,f108,f104]) ).
fof(f379,plain,
( sk_c7 = sF12
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f378,f306]) ).
fof(f378,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f338,f371]) ).
fof(f338,plain,
( sk_c7 = inverse(identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f311,f334]) ).
fof(f334,plain,
( identity = sk_c4
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f325,f326]) ).
fof(f325,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f286,f324]) ).
fof(f324,plain,
( identity = multiply(sk_c7,identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f313,f286]) ).
fof(f313,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f219,f300]) ).
fof(f286,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c4)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f243,f277]) ).
fof(f243,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c7,identity)
| ~ spl23_2
| ~ spl23_3 ),
inference(superposition,[],[f227,f219]) ).
fof(f311,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(backward_demodulation,[],[f214,f300]) ).
fof(f217,plain,
( ~ spl23_17
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f215,f108,f201]) ).
fof(f201,plain,
( spl23_17
<=> sP4(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f215,plain,
( ~ sP4(sk_c6)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f101,f110]) ).
fof(f101,plain,
~ sP4(sF11),
inference(definition_folding,[],[f44,f53]) ).
fof(f44,plain,
~ sP4(multiply(sk_c7,sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f210,plain,
( spl23_13
| spl23_14
| spl23_15
| spl23_16
| spl23_17
| spl23_18
| spl23_19 ),
inference(avatar_split_clause,[],[f102,f208,f205,f201,f198,f195,f191,f187]) ).
fof(f102,plain,
! [X3,X6,X7,X4] :
( sP0(multiply(X7,sk_c6))
| sP1(inverse(X7))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(sk_c6)
| sP5(multiply(inverse(X4),sk_c8))
| sP6(multiply(X4,inverse(X4)))
| sP7(multiply(X3,sk_c7))
| sP8(inverse(X3))
| sP9(sF17)
| sP10(sk_c7) ),
inference(definition_folding,[],[f52,f64]) ).
fof(f52,plain,
! [X3,X6,X7,X4] :
( sP0(multiply(X7,sk_c6))
| sP1(inverse(X7))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(sk_c6)
| sP5(multiply(inverse(X4),sk_c8))
| sP6(multiply(X4,inverse(X4)))
| sP7(multiply(X3,sk_c7))
| sP8(inverse(X3))
| sP9(multiply(sk_c7,sk_c6))
| sP10(sk_c7) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(X7,sk_c6))
| sP1(inverse(X7))
| sP2(multiply(X6,sk_c7))
| sP3(inverse(X6))
| sP4(sk_c6)
| sP5(multiply(X5,sk_c8))
| inverse(X4) != X5
| sP6(multiply(X4,X5))
| sP7(multiply(X3,sk_c7))
| sP8(inverse(X3))
| sP9(multiply(sk_c7,sk_c6))
| sP10(sk_c7) ),
inference(inequality_splitting,[],[f39,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).
fof(f39,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c7 != multiply(X5,sk_c8)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(sk_c7,sk_c6)
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_36) ).
fof(f184,plain,
( spl23_12
| spl23_5 ),
inference(avatar_split_clause,[],[f98,f123,f178]) ).
fof(f98,plain,
( sk_c7 = sF15
| sk_c7 = sF22 ),
inference(definition_folding,[],[f37,f94,f60]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_34) ).
fof(f183,plain,
( spl23_12
| spl23_4 ),
inference(avatar_split_clause,[],[f97,f118,f178]) ).
fof(f97,plain,
( sk_c8 = sF14
| sk_c7 = sF22 ),
inference(definition_folding,[],[f36,f94,f58]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_33) ).
fof(f182,plain,
( spl23_12
| spl23_3 ),
inference(avatar_split_clause,[],[f96,f113,f178]) ).
fof(f96,plain,
( sk_c8 = sF13
| sk_c7 = sF22 ),
inference(definition_folding,[],[f35,f94,f56]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_32) ).
fof(f181,plain,
( spl23_12
| spl23_2 ),
inference(avatar_split_clause,[],[f95,f108,f178]) ).
fof(f95,plain,
( sk_c6 = sF11
| sk_c7 = sF22 ),
inference(definition_folding,[],[f34,f94,f53]) ).
fof(f34,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_31) ).
fof(f175,plain,
( spl23_11
| spl23_5 ),
inference(avatar_split_clause,[],[f92,f123,f169]) ).
fof(f92,plain,
( sk_c7 = sF15
| sk_c3 = sF21 ),
inference(definition_folding,[],[f32,f88,f60]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_29) ).
fof(f174,plain,
( spl23_11
| spl23_4 ),
inference(avatar_split_clause,[],[f91,f118,f169]) ).
fof(f91,plain,
( sk_c8 = sF14
| sk_c3 = sF21 ),
inference(definition_folding,[],[f31,f88,f58]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_28) ).
fof(f173,plain,
( spl23_11
| spl23_3 ),
inference(avatar_split_clause,[],[f90,f113,f169]) ).
fof(f90,plain,
( sk_c8 = sF13
| sk_c3 = sF21 ),
inference(definition_folding,[],[f30,f88,f56]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_27) ).
fof(f172,plain,
( spl23_11
| spl23_2 ),
inference(avatar_split_clause,[],[f89,f108,f169]) ).
fof(f89,plain,
( sk_c6 = sF11
| sk_c3 = sF21 ),
inference(definition_folding,[],[f29,f88,f53]) ).
fof(f29,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_26) ).
fof(f166,plain,
( spl23_10
| spl23_5 ),
inference(avatar_split_clause,[],[f86,f123,f160]) ).
fof(f86,plain,
( sk_c7 = sF15
| sk_c7 = sF20 ),
inference(definition_folding,[],[f27,f82,f60]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_24) ).
fof(f165,plain,
( spl23_10
| spl23_4 ),
inference(avatar_split_clause,[],[f85,f118,f160]) ).
fof(f85,plain,
( sk_c8 = sF14
| sk_c7 = sF20 ),
inference(definition_folding,[],[f26,f82,f58]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_23) ).
fof(f164,plain,
( spl23_10
| spl23_3 ),
inference(avatar_split_clause,[],[f84,f113,f160]) ).
fof(f84,plain,
( sk_c8 = sF13
| sk_c7 = sF20 ),
inference(definition_folding,[],[f25,f82,f56]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_22) ).
fof(f163,plain,
( spl23_10
| spl23_2 ),
inference(avatar_split_clause,[],[f83,f108,f160]) ).
fof(f83,plain,
( sk_c6 = sF11
| sk_c7 = sF20 ),
inference(definition_folding,[],[f24,f82,f53]) ).
fof(f24,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_21) ).
fof(f158,plain,
( spl23_9
| spl23_6 ),
inference(avatar_split_clause,[],[f81,f128,f151]) ).
fof(f81,plain,
( sk_c7 = sF16
| sk_c8 = sF19 ),
inference(definition_folding,[],[f23,f76,f62]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_20) ).
fof(f157,plain,
( spl23_9
| spl23_5 ),
inference(avatar_split_clause,[],[f80,f123,f151]) ).
fof(f80,plain,
( sk_c7 = sF15
| sk_c8 = sF19 ),
inference(definition_folding,[],[f22,f76,f60]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_19) ).
fof(f156,plain,
( spl23_9
| spl23_4 ),
inference(avatar_split_clause,[],[f79,f118,f151]) ).
fof(f79,plain,
( sk_c8 = sF14
| sk_c8 = sF19 ),
inference(definition_folding,[],[f21,f76,f58]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_18) ).
fof(f155,plain,
( spl23_9
| spl23_3 ),
inference(avatar_split_clause,[],[f78,f113,f151]) ).
fof(f78,plain,
( sk_c8 = sF13
| sk_c8 = sF19 ),
inference(definition_folding,[],[f20,f76,f56]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_17) ).
fof(f154,plain,
( spl23_9
| spl23_2 ),
inference(avatar_split_clause,[],[f77,f108,f151]) ).
fof(f77,plain,
( sk_c6 = sF11
| sk_c8 = sF19 ),
inference(definition_folding,[],[f19,f76,f53]) ).
fof(f19,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_16) ).
fof(f149,plain,
( spl23_8
| spl23_6 ),
inference(avatar_split_clause,[],[f75,f128,f142]) ).
fof(f75,plain,
( sk_c7 = sF16
| sk_c8 = sF18 ),
inference(definition_folding,[],[f18,f70,f62]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_15) ).
fof(f148,plain,
( spl23_8
| spl23_5 ),
inference(avatar_split_clause,[],[f74,f123,f142]) ).
fof(f74,plain,
( sk_c7 = sF15
| sk_c8 = sF18 ),
inference(definition_folding,[],[f17,f70,f60]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_14) ).
fof(f147,plain,
( spl23_8
| spl23_4 ),
inference(avatar_split_clause,[],[f73,f118,f142]) ).
fof(f73,plain,
( sk_c8 = sF14
| sk_c8 = sF18 ),
inference(definition_folding,[],[f16,f70,f58]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_13) ).
fof(f146,plain,
( spl23_8
| spl23_3 ),
inference(avatar_split_clause,[],[f72,f113,f142]) ).
fof(f72,plain,
( sk_c8 = sF13
| sk_c8 = sF18 ),
inference(definition_folding,[],[f15,f70,f56]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_12) ).
fof(f145,plain,
( spl23_8
| spl23_2 ),
inference(avatar_split_clause,[],[f71,f108,f142]) ).
fof(f71,plain,
( sk_c6 = sF11
| sk_c8 = sF18 ),
inference(definition_folding,[],[f14,f70,f53]) ).
fof(f14,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_11) ).
fof(f140,plain,
( spl23_7
| spl23_6 ),
inference(avatar_split_clause,[],[f69,f128,f133]) ).
fof(f69,plain,
( sk_c7 = sF16
| sk_c8 = sF17 ),
inference(definition_folding,[],[f13,f64,f62]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_10) ).
fof(f139,plain,
( spl23_7
| spl23_5 ),
inference(avatar_split_clause,[],[f68,f123,f133]) ).
fof(f68,plain,
( sk_c7 = sF15
| sk_c8 = sF17 ),
inference(definition_folding,[],[f12,f64,f60]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_9) ).
fof(f138,plain,
( spl23_7
| spl23_4 ),
inference(avatar_split_clause,[],[f67,f118,f133]) ).
fof(f67,plain,
( sk_c8 = sF14
| sk_c8 = sF17 ),
inference(definition_folding,[],[f11,f64,f58]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_8) ).
fof(f137,plain,
( spl23_7
| spl23_3 ),
inference(avatar_split_clause,[],[f66,f113,f133]) ).
fof(f66,plain,
( sk_c8 = sF13
| sk_c8 = sF17 ),
inference(definition_folding,[],[f10,f64,f56]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_7) ).
fof(f136,plain,
( spl23_7
| spl23_2 ),
inference(avatar_split_clause,[],[f65,f108,f133]) ).
fof(f65,plain,
( sk_c6 = sF11
| sk_c8 = sF17 ),
inference(definition_folding,[],[f9,f64,f53]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c7,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_6) ).
fof(f131,plain,
( spl23_1
| spl23_6 ),
inference(avatar_split_clause,[],[f63,f128,f104]) ).
fof(f63,plain,
( sk_c7 = sF16
| sk_c7 = sF12 ),
inference(definition_folding,[],[f8,f54,f62]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_5) ).
fof(f126,plain,
( spl23_1
| spl23_5 ),
inference(avatar_split_clause,[],[f61,f123,f104]) ).
fof(f61,plain,
( sk_c7 = sF15
| sk_c7 = sF12 ),
inference(definition_folding,[],[f7,f54,f60]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_4) ).
fof(f121,plain,
( spl23_1
| spl23_4 ),
inference(avatar_split_clause,[],[f59,f118,f104]) ).
fof(f59,plain,
( sk_c8 = sF14
| sk_c7 = sF12 ),
inference(definition_folding,[],[f6,f54,f58]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_3) ).
fof(f116,plain,
( spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f57,f113,f104]) ).
fof(f57,plain,
( sk_c8 = sF13
| sk_c7 = sF12 ),
inference(definition_folding,[],[f5,f54,f56]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_2) ).
fof(f111,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f55,f108,f104]) ).
fof(f55,plain,
( sk_c6 = sF11
| sk_c7 = sF12 ),
inference(definition_folding,[],[f4,f54,f53]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP383-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 20:46:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.axkTMt9qw1/Vampire---4.8_30222
% 0.50/0.71 % (30331)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.71 % (30333)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.71 % (30334)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.50/0.71 % (30332)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.50/0.71 % (30336)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.50/0.71 % (30337)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.50/0.71 % (30335)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.71 % (30338)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.71 % (30331)Refutation not found, incomplete strategy% (30331)------------------------------
% 0.50/0.71 % (30331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30331)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30331)Memory used [KB]: 1008
% 0.50/0.71 % (30331)Time elapsed: 0.002 s
% 0.50/0.71 % (30331)Instructions burned: 4 (million)
% 0.50/0.71 % (30331)------------------------------
% 0.50/0.71 % (30331)------------------------------
% 0.50/0.71 % (30334)Refutation not found, incomplete strategy% (30334)------------------------------
% 0.50/0.71 % (30334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30334)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30334)Memory used [KB]: 998
% 0.50/0.71 % (30334)Time elapsed: 0.003 s
% 0.50/0.71 % (30334)Instructions burned: 4 (million)
% 0.50/0.71 % (30334)------------------------------
% 0.50/0.71 % (30334)------------------------------
% 0.50/0.71 % (30336)Refutation not found, incomplete strategy% (30336)------------------------------
% 0.50/0.71 % (30336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30335)Refutation not found, incomplete strategy% (30335)------------------------------
% 0.50/0.71 % (30335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30335)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30335)Memory used [KB]: 1007
% 0.50/0.71 % (30335)Time elapsed: 0.004 s
% 0.50/0.71 % (30335)Instructions burned: 4 (million)
% 0.50/0.71 % (30336)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30336)Memory used [KB]: 995
% 0.50/0.71 % (30336)Time elapsed: 0.004 s
% 0.50/0.71 % (30336)Instructions burned: 5 (million)
% 0.50/0.71 % (30338)Refutation not found, incomplete strategy% (30338)------------------------------
% 0.50/0.71 % (30338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30333)Refutation not found, incomplete strategy% (30333)------------------------------
% 0.50/0.71 % (30333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30333)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30333)Memory used [KB]: 1061
% 0.50/0.71 % (30333)Time elapsed: 0.004 s
% 0.50/0.71 % (30333)Instructions burned: 5 (million)
% 0.50/0.71 % (30335)------------------------------
% 0.50/0.71 % (30335)------------------------------
% 0.50/0.71 % (30338)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30338)Memory used [KB]: 993
% 0.50/0.71 % (30338)Time elapsed: 0.004 s
% 0.50/0.71 % (30338)Instructions burned: 4 (million)
% 0.50/0.71 % (30336)------------------------------
% 0.50/0.71 % (30336)------------------------------
% 0.50/0.71 % (30333)------------------------------
% 0.50/0.71 % (30333)------------------------------
% 0.50/0.71 % (30338)------------------------------
% 0.50/0.71 % (30338)------------------------------
% 0.50/0.71 % (30337)Refutation not found, incomplete strategy% (30337)------------------------------
% 0.50/0.71 % (30337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30337)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30337)Memory used [KB]: 1074
% 0.50/0.71 % (30337)Time elapsed: 0.004 s
% 0.50/0.71 % (30337)Instructions burned: 6 (million)
% 0.50/0.71 % (30337)------------------------------
% 0.50/0.71 % (30337)------------------------------
% 0.50/0.71 % (30339)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.50/0.71 % (30339)Refutation not found, incomplete strategy% (30339)------------------------------
% 0.50/0.71 % (30339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (30339)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (30339)Memory used [KB]: 1071
% 0.50/0.71 % (30339)Time elapsed: 0.002 s
% 0.50/0.71 % (30339)Instructions burned: 5 (million)
% 0.50/0.71 % (30339)------------------------------
% 0.50/0.71 % (30339)------------------------------
% 0.50/0.71 % (30342)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.50/0.71 % (30341)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.50/0.71 % (30343)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.50/0.72 % (30344)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.50/0.72 % (30345)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.50/0.72 % (30340)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.50/0.72 % (30343)Refutation not found, incomplete strategy% (30343)------------------------------
% 0.50/0.72 % (30343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30342)Refutation not found, incomplete strategy% (30342)------------------------------
% 0.50/0.72 % (30342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30342)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30342)Memory used [KB]: 1061
% 0.50/0.72 % (30342)Time elapsed: 0.004 s
% 0.50/0.72 % (30342)Instructions burned: 5 (million)
% 0.50/0.72 % (30343)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30343)Memory used [KB]: 994
% 0.50/0.72 % (30343)Time elapsed: 0.004 s
% 0.50/0.72 % (30343)Instructions burned: 5 (million)
% 0.50/0.72 % (30344)Refutation not found, incomplete strategy% (30344)------------------------------
% 0.50/0.72 % (30344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30344)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30344)Memory used [KB]: 1008
% 0.50/0.72 % (30344)Time elapsed: 0.003 s
% 0.50/0.72 % (30344)Instructions burned: 4 (million)
% 0.50/0.72 % (30342)------------------------------
% 0.50/0.72 % (30342)------------------------------
% 0.50/0.72 % (30343)------------------------------
% 0.50/0.72 % (30343)------------------------------
% 0.50/0.72 % (30344)------------------------------
% 0.50/0.72 % (30344)------------------------------
% 0.50/0.72 % (30340)Refutation not found, incomplete strategy% (30340)------------------------------
% 0.50/0.72 % (30340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30340)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30340)Memory used [KB]: 994
% 0.50/0.72 % (30340)Time elapsed: 0.002 s
% 0.50/0.72 % (30340)Instructions burned: 6 (million)
% 0.50/0.72 % (30340)------------------------------
% 0.50/0.72 % (30340)------------------------------
% 0.50/0.72 % (30341)Refutation not found, incomplete strategy% (30341)------------------------------
% 0.50/0.72 % (30341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30341)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30341)Memory used [KB]: 1081
% 0.50/0.72 % (30341)Time elapsed: 0.006 s
% 0.50/0.72 % (30341)Instructions burned: 8 (million)
% 0.50/0.72 % (30341)------------------------------
% 0.50/0.72 % (30341)------------------------------
% 0.50/0.72 % (30346)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.50/0.72 % (30347)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.50/0.72 % (30349)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.50/0.72 % (30345)Refutation not found, incomplete strategy% (30345)------------------------------
% 0.50/0.72 % (30345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30345)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30345)Memory used [KB]: 1090
% 0.50/0.72 % (30345)Time elapsed: 0.007 s
% 0.50/0.72 % (30345)Instructions burned: 10 (million)
% 0.50/0.72 % (30348)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.50/0.72 % (30345)------------------------------
% 0.50/0.72 % (30345)------------------------------
% 0.50/0.72 % (30346)Refutation not found, incomplete strategy% (30346)------------------------------
% 0.50/0.72 % (30346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30346)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30346)Memory used [KB]: 994
% 0.50/0.72 % (30346)Time elapsed: 0.003 s
% 0.50/0.72 % (30346)Instructions burned: 4 (million)
% 0.50/0.72 % (30346)------------------------------
% 0.50/0.72 % (30346)------------------------------
% 0.50/0.72 % (30350)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.50/0.72 % (30347)Refutation not found, incomplete strategy% (30347)------------------------------
% 0.50/0.72 % (30347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30347)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30347)Memory used [KB]: 1009
% 0.50/0.72 % (30347)Time elapsed: 0.002 s
% 0.50/0.72 % (30347)Instructions burned: 4 (million)
% 0.50/0.72 % (30347)------------------------------
% 0.50/0.72 % (30347)------------------------------
% 0.50/0.72 % (30349)Refutation not found, incomplete strategy% (30349)------------------------------
% 0.50/0.72 % (30349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30349)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30349)Memory used [KB]: 994
% 0.50/0.72 % (30349)Time elapsed: 0.003 s
% 0.50/0.72 % (30349)Instructions burned: 3 (million)
% 0.50/0.72 % (30349)------------------------------
% 0.50/0.72 % (30349)------------------------------
% 0.50/0.72 % (30350)Refutation not found, incomplete strategy% (30350)------------------------------
% 0.50/0.72 % (30350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (30350)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (30350)Memory used [KB]: 1060
% 0.50/0.72 % (30350)Time elapsed: 0.004 s
% 0.50/0.72 % (30353)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.50/0.72 % (30350)Instructions burned: 5 (million)
% 0.50/0.72 % (30350)------------------------------
% 0.50/0.72 % (30350)------------------------------
% 0.50/0.72 % (30351)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.50/0.72 % (30352)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.50/0.73 % (30354)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.50/0.73 % (30352)Refutation not found, incomplete strategy% (30352)------------------------------
% 0.50/0.73 % (30352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (30352)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73
% 0.50/0.73 % (30352)Memory used [KB]: 1010
% 0.50/0.73 % (30352)Time elapsed: 0.003 s
% 0.50/0.73 % (30352)Instructions burned: 5 (million)
% 0.50/0.73 % (30351)Refutation not found, incomplete strategy% (30351)------------------------------
% 0.50/0.73 % (30351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (30351)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73
% 0.50/0.73 % (30351)Memory used [KB]: 1062
% 0.50/0.73 % (30351)Time elapsed: 0.004 s
% 0.50/0.73 % (30352)------------------------------
% 0.50/0.73 % (30352)------------------------------
% 0.50/0.73 % (30351)Instructions burned: 5 (million)
% 0.50/0.73 % (30351)------------------------------
% 0.50/0.73 % (30351)------------------------------
% 0.50/0.73 % (30355)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.50/0.73 % (30354)Refutation not found, incomplete strategy% (30354)------------------------------
% 0.50/0.73 % (30354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (30354)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73
% 0.50/0.73 % (30354)Memory used [KB]: 1006
% 0.50/0.73 % (30354)Time elapsed: 0.003 s
% 0.50/0.73 % (30354)Instructions burned: 4 (million)
% 0.50/0.73 % (30354)------------------------------
% 0.50/0.73 % (30354)------------------------------
% 0.50/0.73 % (30356)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.50/0.73 % (30355)Refutation not found, incomplete strategy% (30355)------------------------------
% 0.50/0.73 % (30355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (30355)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73
% 0.50/0.73 % (30355)Memory used [KB]: 1082
% 0.50/0.73 % (30355)Time elapsed: 0.004 s
% 0.50/0.73 % (30355)Instructions burned: 6 (million)
% 0.50/0.73 % (30358)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.50/0.73 % (30355)------------------------------
% 0.50/0.73 % (30355)------------------------------
% 0.50/0.73 % (30359)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.50/0.73 % (30332)Instruction limit reached!
% 0.50/0.73 % (30332)------------------------------
% 0.50/0.73 % (30332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (30332)Termination reason: Unknown
% 0.50/0.73 % (30332)Termination phase: Saturation
% 0.50/0.73
% 0.50/0.73 % (30332)Memory used [KB]: 1695
% 0.50/0.73 % (30332)Time elapsed: 0.025 s
% 0.50/0.73 % (30332)Instructions burned: 52 (million)
% 0.50/0.73 % (30332)------------------------------
% 0.50/0.73 % (30332)------------------------------
% 0.50/0.73 % (30359)Refutation not found, incomplete strategy% (30359)------------------------------
% 0.50/0.73 % (30359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (30359)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73
% 0.50/0.73 % (30359)Memory used [KB]: 988
% 0.50/0.73 % (30359)Time elapsed: 0.003 s
% 0.50/0.73 % (30359)Instructions burned: 4 (million)
% 0.50/0.73 % (30359)------------------------------
% 0.50/0.73 % (30359)------------------------------
% 0.50/0.73 % (30360)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.50/0.73 % (30357)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.50/0.74 % (30360)Refutation not found, incomplete strategy% (30360)------------------------------
% 0.50/0.74 % (30360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74 % (30362)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2996ds/360Mi)
% 0.50/0.74 % (30360)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74
% 0.50/0.74 % (30360)Memory used [KB]: 1078
% 0.50/0.74 % (30360)Time elapsed: 0.003 s
% 0.50/0.74 % (30360)Instructions burned: 5 (million)
% 0.50/0.74 % (30360)------------------------------
% 0.50/0.74 % (30360)------------------------------
% 0.50/0.74 % (30353)Instruction limit reached!
% 0.50/0.74 % (30353)------------------------------
% 0.50/0.74 % (30353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74 % (30353)Termination reason: Unknown
% 0.50/0.74 % (30353)Termination phase: Saturation
% 0.50/0.74
% 0.50/0.74 % (30353)Memory used [KB]: 1190
% 0.50/0.74 % (30353)Time elapsed: 0.014 s
% 0.50/0.74 % (30353)Instructions burned: 53 (million)
% 0.50/0.74 % (30353)------------------------------
% 0.50/0.74 % (30353)------------------------------
% 0.50/0.74 % (30361)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2996ds/40Mi)
% 0.50/0.74 % (30363)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2996ds/161Mi)
% 0.50/0.74 % (30364)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2996ds/80Mi)
% 0.50/0.74 % (30356)Instruction limit reached!
% 0.50/0.74 % (30356)------------------------------
% 0.50/0.74 % (30356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74 % (30356)Termination reason: Unknown
% 0.50/0.74 % (30356)Termination phase: Saturation
% 0.50/0.74
% 0.50/0.74 % (30356)Memory used [KB]: 1174
% 0.50/0.74 % (30356)Time elapsed: 0.018 s
% 0.50/0.74 % (30356)Instructions burned: 35 (million)
% 0.50/0.74 % (30356)------------------------------
% 0.50/0.74 % (30356)------------------------------
% 0.50/0.75 % (30361)Refutation not found, incomplete strategy% (30361)------------------------------
% 0.50/0.75 % (30361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75 % (30361)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75
% 0.50/0.75 % (30361)Memory used [KB]: 1160
% 0.50/0.75 % (30361)Time elapsed: 0.007 s
% 0.50/0.75 % (30361)Instructions burned: 11 (million)
% 0.50/0.75 % (30361)------------------------------
% 0.50/0.75 % (30361)------------------------------
% 0.72/0.75 % (30366)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2996ds/55Mi)
% 0.72/0.75 % (30365)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2996ds/37Mi)
% 0.72/0.75 % (30366)Refutation not found, incomplete strategy% (30366)------------------------------
% 0.72/0.75 % (30366)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.75 % (30366)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.75
% 0.72/0.75 % (30366)Memory used [KB]: 1074
% 0.72/0.75 % (30366)Time elapsed: 0.005 s
% 0.72/0.75 % (30366)Instructions burned: 7 (million)
% 0.72/0.75 % (30366)------------------------------
% 0.72/0.75 % (30366)------------------------------
% 0.72/0.76 % (30362)First to succeed.
% 0.72/0.76 % (30362)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30329"
% 0.72/0.76 % (30362)Refutation found. Thanks to Tanya!
% 0.72/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.72/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.77 % (30362)------------------------------
% 0.72/0.77 % (30362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.77 % (30362)Termination reason: Refutation
% 0.72/0.77
% 0.72/0.77 % (30362)Memory used [KB]: 1329
% 0.72/0.77 % (30362)Time elapsed: 0.028 s
% 0.72/0.77 % (30362)Instructions burned: 54 (million)
% 0.72/0.77 % (30329)Success in time 0.416 s
% 0.72/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------