TSTP Solution File: GRP287-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP287-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 05:47:14 EDT 2024
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 42
% Syntax : Number of formulae : 204 ( 4 unt; 0 def)
% Number of atoms : 837 ( 229 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1253 ( 620 ~; 618 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1215,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f81,f82,f83,f84,f90,f91,f92,f93,f107,f303,f410,f445,f480,f515,f609,f661,f1030,f1117,f1147,f1151,f1214]) ).
fof(f1214,plain,
( spl0_18
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1209,f87,f78,f69,f60,f31,f642]) ).
fof(f642,plain,
( spl0_18
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f78,plain,
( spl0_9
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1209,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f673,f1203]) ).
fof(f1203,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1202,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',left_identity) ).
fof(f1202,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f3,f1198]) ).
fof(f1198,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1197,f520]) ).
fof(f520,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',left_inverse) ).
fof(f1197,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1195,f521]) ).
fof(f521,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f62]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f1195,plain,
( multiply(sk_c6,identity) = multiply(sk_c1,multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f521,f1185]) ).
fof(f1185,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1176,f619]) ).
fof(f619,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f615,f33]) ).
fof(f33,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f615,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f531,f62]) ).
fof(f531,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f529,f1]) ).
fof(f529,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f519]) ).
fof(f519,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f1176,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f613,f520]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f33]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',associativity) ).
fof(f673,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f670,f619]) ).
fof(f670,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f535,f80]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f535,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f533,f1]) ).
fof(f533,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f520]) ).
fof(f1151,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1150,f87,f78,f69,f60,f35,f31,f642]) ).
fof(f35,plain,
( spl0_2
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1150,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1149,f619]) ).
fof(f1149,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f36,f673]) ).
fof(f36,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f1147,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1146,f642,f102,f78,f69,f60,f31,f87]) ).
fof(f102,plain,
( spl0_13
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1146,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1145]) ).
fof(f1145,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1144,f643]) ).
fof(f643,plain,
( sk_c7 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f1144,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1129,f619]) ).
fof(f1129,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f1118,f80]) ).
fof(f1118,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f103,f643]) ).
fof(f103,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f1117,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1116,f642,f99,f78,f69,f60,f31,f87]) ).
fof(f99,plain,
( spl0_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1116,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1115]) ).
fof(f1115,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1114,f643]) ).
fof(f1114,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1099,f619]) ).
fof(f1099,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18 ),
inference(superposition,[],[f1037,f80]) ).
fof(f1037,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1036,f643]) ).
fof(f1036,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f619]) ).
fof(f100,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f1030,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1029,f642,f105,f78,f69,f60,f31,f87]) ).
fof(f105,plain,
( spl0_14
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1029,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1028]) ).
fof(f1028,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1027,f643]) ).
fof(f1027,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1013,f619]) ).
fof(f1013,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f979,f80]) ).
fof(f979,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f978,f643]) ).
fof(f978,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f619]) ).
fof(f106,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f661,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f634,f96,f60,f69]) ).
fof(f96,plain,
( spl0_11
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f634,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f633]) ).
fof(f633,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f97,f62]) ).
fof(f97,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f609,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f607]) ).
fof(f607,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f606,f561]) ).
fof(f561,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f554,f62]) ).
fof(f554,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f1,f542]) ).
fof(f542,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f539,f519]) ).
fof(f539,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f538,f1]) ).
fof(f538,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f3,f527]) ).
fof(f527,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f152,f519]) ).
fof(f152,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f151,f116]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f42]) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f151,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f143,f126]) ).
fof(f126,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f123,f37]) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f42]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f108]) ).
fof(f108,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f47]) ).
fof(f47,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f143,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c3,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f116,f113]) ).
fof(f113,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f606,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f560,f42]) ).
fof(f560,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f517,f550]) ).
fof(f550,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f541,f539]) ).
fof(f541,plain,
( sk_c4 = multiply(sk_c7,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f539,f157]) ).
fof(f157,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f148,f147]) ).
fof(f147,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f116,f108]) ).
fof(f148,plain,
( multiply(sk_c3,identity) = multiply(sk_c7,sk_c4)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f116,f109]) ).
fof(f109,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f517,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f56,f126]) ).
fof(f56,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f515,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f514,f105,f55,f50,f45,f40,f35,f45]) ).
fof(f514,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f493,f281]) ).
fof(f281,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f263,f279]) ).
fof(f279,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f259,f276]) ).
fof(f276,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f255,f243]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f136,f121]) ).
fof(f136,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f131,f126]) ).
fof(f131,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f122,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f122,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f109]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f128]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f3,f123]) ).
fof(f259,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c6,multiply(sk_c7,sk_c3))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f147]) ).
fof(f263,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f109]) ).
fof(f493,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f492]) ).
fof(f492,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f481,f258]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f122]) ).
fof(f481,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f126]) ).
fof(f480,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f479,f102,f55,f50,f45,f40,f35,f45]) ).
fof(f479,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f458,f281]) ).
fof(f458,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f457]) ).
fof(f457,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f446,f258]) ).
fof(f446,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f103,f260]) ).
fof(f260,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f243,f123]) ).
fof(f445,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f444,f99,f55,f50,f45,f40,f35,f45]) ).
fof(f444,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f423,f281]) ).
fof(f423,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f422]) ).
fof(f422,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f411,f258]) ).
fof(f411,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f126]) ).
fof(f410,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f409,f96,f55,f50,f45,f40,f35,f45]) ).
fof(f409,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f380,f281]) ).
fof(f380,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f379,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f313,f258]) ).
fof(f313,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f312,f260]) ).
fof(f312,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f260]) ).
fof(f303,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f165,f260]) ).
fof(f165,plain,
( sk_c7 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f162,f126]) ).
fof(f162,plain,
( sk_c7 != sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f32,f156]) ).
fof(f156,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f146,f42]) ).
fof(f146,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f134]) ).
fof(f32,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f107,plain,
( ~ spl0_1
| spl0_11
| spl0_12
| ~ spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f96,f31]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_26) ).
fof(f93,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f50,f87]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_24) ).
fof(f92,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f45,f87]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_23) ).
fof(f91,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f40,f87]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_22) ).
fof(f90,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f35,f87]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_21) ).
fof(f84,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f50,f78]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_19) ).
fof(f83,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f45,f78]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_18) ).
fof(f82,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f40,f78]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_17) ).
fof(f81,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f35,f78]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_16) ).
fof(f76,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f55,f69]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_15) ).
fof(f75,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f50,f69]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_14) ).
fof(f74,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f45,f69]) ).
fof(f16,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_13) ).
fof(f73,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f40,f69]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_12) ).
fof(f72,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f35,f69]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_11) ).
fof(f67,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f55,f60]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_10) ).
fof(f66,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f50,f60]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_9) ).
fof(f65,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f45,f60]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_8) ).
fof(f64,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f40,f60]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_7) ).
fof(f63,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f60]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_6) ).
fof(f58,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f55,f31]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_5) ).
fof(f53,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f50,f31]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_4) ).
fof(f48,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f45,f31]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_3) ).
fof(f43,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f40,f31]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_2) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f35,f31]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n023.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 20:54:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.0ZvK4s9kje/Vampire---4.8_18407
% 0.61/0.76 % (18796)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)
% 0.61/0.76 % (18790)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)
% 0.61/0.76 % (18792)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (18793)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)
% 0.61/0.76 % (18791)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)
% 0.61/0.76 % (18794)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)
% 0.61/0.76 % (18795)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)
% 0.61/0.76 % (18797)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)
% 0.61/0.76 % (18793)Refutation not found, incomplete strategy% (18793)------------------------------
% 0.61/0.76 % (18793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (18790)Refutation not found, incomplete strategy% (18790)------------------------------
% 0.61/0.76 % (18790)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (18793)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (18793)Memory used [KB]: 978
% 0.61/0.76 % (18793)Time elapsed: 0.003 s
% 0.61/0.76 % (18793)Instructions burned: 3 (million)
% 0.61/0.76 % (18790)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (18790)Memory used [KB]: 995
% 0.61/0.76 % (18790)Time elapsed: 0.003 s
% 0.61/0.76 % (18790)Instructions burned: 3 (million)
% 0.61/0.76 % (18794)Refutation not found, incomplete strategy% (18794)------------------------------
% 0.61/0.76 % (18794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (18794)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (18794)Memory used [KB]: 994
% 0.61/0.76 % (18794)Time elapsed: 0.003 s
% 0.61/0.76 % (18794)Instructions burned: 4 (million)
% 0.61/0.76 % (18790)------------------------------
% 0.61/0.76 % (18790)------------------------------
% 0.61/0.76 % (18793)------------------------------
% 0.61/0.76 % (18793)------------------------------
% 0.61/0.76 % (18795)Refutation not found, incomplete strategy% (18795)------------------------------
% 0.61/0.76 % (18795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18795)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18794)------------------------------
% 0.61/0.77 % (18794)------------------------------
% 0.61/0.77 % (18795)Memory used [KB]: 984
% 0.61/0.77 % (18795)Time elapsed: 0.004 s
% 0.61/0.77 % (18795)Instructions burned: 4 (million)
% 0.61/0.77 % (18797)Refutation not found, incomplete strategy% (18797)------------------------------
% 0.61/0.77 % (18797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18792)Refutation not found, incomplete strategy% (18792)------------------------------
% 0.61/0.77 % (18792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18797)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18797)Memory used [KB]: 980
% 0.61/0.77 % (18792)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18797)Time elapsed: 0.003 s
% 0.61/0.77 % (18792)Memory used [KB]: 1050
% 0.61/0.77 % (18792)Time elapsed: 0.004 s
% 0.61/0.77 % (18797)Instructions burned: 3 (million)
% 0.61/0.77 % (18792)Instructions burned: 4 (million)
% 0.61/0.77 % (18797)------------------------------
% 0.61/0.77 % (18797)------------------------------
% 0.61/0.77 % (18792)------------------------------
% 0.61/0.77 % (18792)------------------------------
% 0.61/0.77 % (18795)------------------------------
% 0.61/0.77 % (18795)------------------------------
% 0.61/0.77 % (18802)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)
% 0.61/0.77 % (18803)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)
% 0.61/0.77 % (18804)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)
% 0.61/0.77 % (18805)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)
% 0.61/0.77 % (18807)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)
% 0.61/0.77 % (18808)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)
% 0.61/0.77 % (18803)Refutation not found, incomplete strategy% (18803)------------------------------
% 0.61/0.77 % (18803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18803)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18803)Memory used [KB]: 989
% 0.61/0.77 % (18803)Time elapsed: 0.004 s
% 0.61/0.77 % (18803)Instructions burned: 5 (million)
% 0.61/0.77 % (18808)Refutation not found, incomplete strategy% (18808)------------------------------
% 0.61/0.77 % (18808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18808)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18807)Refutation not found, incomplete strategy% (18807)------------------------------
% 0.61/0.77 % (18807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18807)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18807)Memory used [KB]: 984
% 0.61/0.77 % (18807)Time elapsed: 0.004 s
% 0.61/0.77 % (18807)Instructions burned: 4 (million)
% 0.61/0.77 % (18802)Refutation not found, incomplete strategy% (18802)------------------------------
% 0.61/0.77 % (18802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18808)Memory used [KB]: 1001
% 0.61/0.77 % (18808)Time elapsed: 0.003 s
% 0.61/0.77 % (18808)Instructions burned: 4 (million)
% 0.61/0.77 % (18803)------------------------------
% 0.61/0.77 % (18803)------------------------------
% 0.61/0.77 % (18802)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18802)Memory used [KB]: 1060
% 0.61/0.77 % (18802)Time elapsed: 0.005 s
% 0.61/0.77 % (18802)Instructions burned: 5 (million)
% 0.61/0.77 % (18805)Refutation not found, incomplete strategy% (18805)------------------------------
% 0.61/0.77 % (18805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18807)------------------------------
% 0.61/0.77 % (18807)------------------------------
% 0.61/0.77 % (18805)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77 % (18808)------------------------------
% 0.61/0.77 % (18808)------------------------------
% 0.61/0.77
% 0.61/0.77 % (18805)Memory used [KB]: 1050
% 0.61/0.77 % (18805)Time elapsed: 0.004 s
% 0.61/0.77 % (18805)Instructions burned: 4 (million)
% 0.61/0.77 % (18802)------------------------------
% 0.61/0.77 % (18802)------------------------------
% 0.61/0.77 % (18805)------------------------------
% 0.61/0.77 % (18805)------------------------------
% 0.61/0.77 % (18804)Refutation not found, incomplete strategy% (18804)------------------------------
% 0.61/0.77 % (18804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (18804)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (18804)Memory used [KB]: 1078
% 0.61/0.77 % (18804)Time elapsed: 0.007 s
% 0.61/0.77 % (18804)Instructions burned: 9 (million)
% 0.61/0.77 % (18804)------------------------------
% 0.61/0.77 % (18804)------------------------------
% 0.61/0.78 % (18813)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)
% 0.61/0.78 % (18814)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)
% 0.61/0.78 % (18815)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)
% 0.61/0.78 % (18816)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)
% 0.61/0.78 % (18817)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)
% 0.61/0.78 % (18814)Refutation not found, incomplete strategy% (18814)------------------------------
% 0.61/0.78 % (18814)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (18814)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (18814)Memory used [KB]: 981
% 0.61/0.78 % (18814)Time elapsed: 0.004 s
% 0.61/0.78 % (18814)Instructions burned: 3 (million)
% 0.61/0.78 % (18815)Refutation not found, incomplete strategy% (18815)------------------------------
% 0.61/0.78 % (18815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (18814)------------------------------
% 0.61/0.78 % (18814)------------------------------
% 0.61/0.78 % (18815)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (18817)Refutation not found, incomplete strategy% (18817)------------------------------
% 0.61/0.78 % (18817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (18817)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (18817)Memory used [KB]: 981
% 0.61/0.78 % (18817)Time elapsed: 0.003 s
% 0.61/0.78 % (18817)Instructions burned: 3 (million)
% 0.61/0.78 % (18815)Memory used [KB]: 997
% 0.61/0.78 % (18815)Time elapsed: 0.004 s
% 0.61/0.78 % (18815)Instructions burned: 3 (million)
% 0.61/0.78 % (18817)------------------------------
% 0.61/0.78 % (18817)------------------------------
% 0.61/0.78 % (18819)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)
% 0.61/0.78 % (18815)------------------------------
% 0.61/0.78 % (18815)------------------------------
% 0.61/0.78 % (18791)First to succeed.
% 0.61/0.78 % (18821)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)
% 0.61/0.78 % (18822)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)
% 0.61/0.78 % (18823)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)
% 0.61/0.78 % (18791)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18654"
% 0.61/0.78 % (18796)Instruction limit reached!
% 0.61/0.78 % (18796)------------------------------
% 0.61/0.78 % (18796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (18796)Termination reason: Unknown
% 0.61/0.78 % (18796)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (18796)Memory used [KB]: 1882
% 0.61/0.78 % (18796)Time elapsed: 0.024 s
% 0.61/0.78 % (18796)Instructions burned: 83 (million)
% 0.61/0.78 % (18796)------------------------------
% 0.61/0.78 % (18796)------------------------------
% 0.61/0.78 % (18791)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (18791)------------------------------
% 0.61/0.79 % (18791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79 % (18791)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (18791)Memory used [KB]: 1286
% 0.61/0.79 % (18791)Time elapsed: 0.022 s
% 0.61/0.79 % (18791)Instructions burned: 37 (million)
% 0.61/0.79 % (18654)Success in time 0.403 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------