TSTP Solution File: GRP293-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP293-1 : 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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:25 EDT 2024
% Result : Unsatisfiable 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 56
% Syntax : Number of formulae : 226 ( 4 unt; 0 def)
% Number of atoms : 807 ( 252 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1119 ( 538 ~; 563 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1783,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f65,f70,f75,f80,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f95,f100,f101,f102,f103,f104,f105,f110,f111,f112,f113,f114,f115,f120,f121,f122,f123,f124,f125,f138,f171,f187,f221,f238,f345,f365,f498,f503,f642,f675,f681,f1050,f1426,f1441,f1782]) ).
fof(f1782,plain,
( ~ spl0_22
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1779,f359,f136,f72,f57,f52,f47,f43,f359]) ).
fof(f43,plain,
( spl0_1
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f47,plain,
( spl0_2
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f52,plain,
( spl0_3
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f57,plain,
( spl0_4
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f72,plain,
( spl0_7
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f136,plain,
( spl0_16
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f359,plain,
( spl0_22
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1779,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f1713,f59]) ).
fof(f59,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f1713,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1712,f1479]) ).
fof(f1479,plain,
( sk_c3 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_22 ),
inference(superposition,[],[f1465,f1337]) ).
fof(f1337,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f1325,f1075]) ).
fof(f1075,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f2,f74]) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',left_inverse) ).
fof(f1325,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1323,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',left_identity) ).
fof(f1323,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f3,f1314]) ).
fof(f1314,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1310,f1074]) ).
fof(f1074,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f59]) ).
fof(f1310,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f1082,f1292]) ).
fof(f1292,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f1286,f49]) ).
fof(f49,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f1286,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f1089,f54]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f1089,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1084,f1]) ).
fof(f1084,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f1074]) ).
fof(f1082,plain,
( multiply(sk_c8,identity) = multiply(sk_c6,sk_c3)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f263,f1074]) ).
fof(f263,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f45]) ).
fof(f45,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',associativity) ).
fof(f1465,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1453,f1325]) ).
fof(f1453,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_4
| ~ spl0_22 ),
inference(superposition,[],[f1074,f360]) ).
fof(f360,plain,
( sk_c8 = sk_c7
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f1712,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1711,f1337]) ).
fof(f1711,plain,
( sk_c8 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_16
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1710]) ).
fof(f1710,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f1709,f360]) ).
fof(f1709,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1686,f1301]) ).
fof(f1301,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1295,f54]) ).
fof(f1295,plain,
( multiply(sk_c3,sk_c7) = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f148,f1286]) ).
fof(f148,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f54]) ).
fof(f1686,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl0_16 ),
inference(superposition,[],[f137,f1]) ).
fof(f137,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f1441,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1440,f218,f62,f57,f52,f359]) ).
fof(f62,plain,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f218,plain,
( spl0_19
<=> sk_c8 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1440,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1434,f1301]) ).
fof(f1434,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f64,f219]) ).
fof(f219,plain,
( sk_c8 = sk_c5
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f1426,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1411,f72,f67,f57,f52,f47,f43,f218]) ).
fof(f67,plain,
( spl0_6
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1411,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f69,f1367]) ).
fof(f1367,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[],[f1,f1337]) ).
fof(f69,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f1050,plain,
( ~ spl0_9
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1040,f359,f136,f87,f87]) ).
fof(f87,plain,
( spl0_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1040,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1036]) ).
fof(f1036,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f682,f268]) ).
fof(f268,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f267,f1]) ).
fof(f267,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f261]) ).
fof(f261,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f682,plain,
( ! [X7] :
( sk_c8 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f137,f360]) ).
fof(f681,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f680,f359,f130,f117,f87,f77,f43,f87]) ).
fof(f77,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f117,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f130,plain,
( spl0_14
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f680,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_demodulation,[],[f658,f540]) ).
fof(f540,plain,
( sk_c1 = sk_c2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f515,f514]) ).
fof(f514,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f489,f261]) ).
fof(f489,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f268,f456]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f455,f268]) ).
fof(f455,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f438,f360]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f264,f268]) ).
fof(f264,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f515,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f489,f262]) ).
fof(f262,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_12 ),
inference(superposition,[],[f2,f119]) ).
fof(f119,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f658,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f657]) ).
fof(f657,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f643,f508]) ).
fof(f508,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f489,f270]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f262]) ).
fof(f643,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f131,f282]) ).
fof(f282,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f278,f45]) ).
fof(f278,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f268,f79]) ).
fof(f131,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f675,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f659,f359,f130,f87,f77,f43,f87]) ).
fof(f659,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f655,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| ~ spl0_22 ),
inference(superposition,[],[f643,f456]) ).
fof(f642,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f641,f359,f127,f117,f87,f77,f87]) ).
fof(f127,plain,
( spl0_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f641,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f619,f540]) ).
fof(f619,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f618]) ).
fof(f618,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_22 ),
inference(superposition,[],[f504,f508]) ).
fof(f504,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_13
| ~ spl0_22 ),
inference(forward_demodulation,[],[f128,f360]) ).
fof(f128,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f503,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f501]) ).
fof(f501,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f500,f282]) ).
fof(f500,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_22 ),
inference(forward_demodulation,[],[f499,f363]) ).
fof(f363,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f307,f282]) ).
fof(f307,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f270,f109]) ).
fof(f109,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl0_11
<=> sk_c6 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f499,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_2
| ~ spl0_22 ),
inference(forward_demodulation,[],[f48,f360]) ).
fof(f48,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f498,plain,
( ~ spl0_22
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f497,f359,f133,f87,f77,f359]) ).
fof(f133,plain,
( spl0_15
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f497,plain,
( sk_c8 != sk_c7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f496,f89]) ).
fof(f496,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f495]) ).
fof(f495,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f492,f360]) ).
fof(f492,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c1)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f134,f456]) ).
fof(f134,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f365,plain,
( spl0_22
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f364,f117,f107,f97,f87,f77,f43,f359]) ).
fof(f97,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f364,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f289,f363]) ).
fof(f289,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f99,f282]) ).
fof(f99,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f345,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f324,f133,f52,f57]) ).
fof(f324,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f323,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f134,f54]) ).
fof(f238,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f230,f130,f72,f67,f62,f57,f52,f47,f218,f72]) ).
fof(f230,plain,
( sk_c8 != sk_c5
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f222,f69]) ).
fof(f222,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f131,f180]) ).
fof(f180,plain,
( sk_c8 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f177,f163]) ).
fof(f163,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f49,f158]) ).
fof(f158,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f155,f64]) ).
fof(f155,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f153,f69]) ).
fof(f153,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f140]) ).
fof(f140,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_7 ),
inference(superposition,[],[f2,f74]) ).
fof(f177,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f174,f158]) ).
fof(f174,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f154,f54]) ).
fof(f154,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f139]) ).
fof(f139,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_4 ),
inference(superposition,[],[f2,f59]) ).
fof(f221,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f201,f127,f72,f67,f62,f218,f72]) ).
fof(f201,plain,
( sk_c8 != sk_c5
| sk_c8 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f188,f69]) ).
fof(f188,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f128,f158]) ).
fof(f187,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10 ),
inference(trivial_inequality_removal,[],[f184]) ).
fof(f184,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10 ),
inference(superposition,[],[f183,f177]) ).
fof(f183,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10 ),
inference(superposition,[],[f172,f180]) ).
fof(f172,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10 ),
inference(forward_demodulation,[],[f98,f158]) ).
fof(f98,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_10 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f171,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f169]) ).
fof(f169,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f164,f163]) ).
fof(f164,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f44,f158]) ).
fof(f44,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f138,plain,
( ~ spl0_1
| spl0_13
| ~ spl0_10
| spl0_14
| ~ spl0_2
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f41,f136,f133,f47,f130,f97,f127,f43]) ).
fof(f41,plain,
! [X3,X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(sk_c8,X6)
| sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_37) ).
fof(f125,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f39,f72,f117]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_36) ).
fof(f124,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f38,f67,f117]) ).
fof(f38,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_35) ).
fof(f123,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f37,f62,f117]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_34) ).
fof(f122,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f36,f57,f117]) ).
fof(f36,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_33) ).
fof(f121,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f52,f117]) ).
fof(f35,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_32) ).
fof(f120,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f47,f117]) ).
fof(f34,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_31) ).
fof(f115,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f33,f72,f107]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_30) ).
fof(f114,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f67,f107]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_29) ).
fof(f113,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f62,f107]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_28) ).
fof(f112,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f57,f107]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_27) ).
fof(f111,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f52,f107]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_26) ).
fof(f110,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f47,f107]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_25) ).
fof(f105,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f27,f72,f97]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_24) ).
fof(f104,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f67,f97]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_23) ).
fof(f103,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f62,f97]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_22) ).
fof(f102,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f24,f57,f97]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_21) ).
fof(f101,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f52,f97]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_20) ).
fof(f100,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f47,f97]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_19) ).
fof(f95,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f21,f72,f87]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_18) ).
fof(f94,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f67,f87]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_17) ).
fof(f93,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f62,f87]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_16) ).
fof(f92,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f57,f87]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_15) ).
fof(f91,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f52,f87]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_14) ).
fof(f90,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f47,f87]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_13) ).
fof(f85,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f72,f77]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_12) ).
fof(f84,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f67,f77]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_11) ).
fof(f83,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f62,f77]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_10) ).
fof(f82,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f57,f77]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_9) ).
fof(f81,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f52,f77]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_8) ).
fof(f80,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f47,f77]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_7) ).
fof(f75,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f72,f43]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_6) ).
fof(f70,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f67,f43]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_5) ).
fof(f65,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f62,f43]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_4) ).
fof(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f47,f43]) ).
fof(f4,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.T4hynFF5pt/Vampire---4.8_7204',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % 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
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 18:43:11 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.12/0.32 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.T4hynFF5pt/Vampire---4.8_7204
% 0.60/0.80 % (7314)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (7315)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (7313)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 (2995ds/51Mi)
% 0.60/0.80 % (7312)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 (2995ds/34Mi)
% 0.60/0.80 % (7316)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 (2995ds/34Mi)
% 0.60/0.80 % (7317)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (7318)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 (2995ds/83Mi)
% 0.60/0.80 % (7319)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 (2995ds/56Mi)
% 0.60/0.80 % (7312)Refutation not found, incomplete strategy% (7312)------------------------------
% 0.60/0.80 % (7312)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (7316)Refutation not found, incomplete strategy% (7316)------------------------------
% 0.60/0.80 % (7316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (7319)Refutation not found, incomplete strategy% (7319)------------------------------
% 0.60/0.80 % (7319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (7316)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80 % (7319)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80
% 0.60/0.80 % (7316)Memory used [KB]: 1001
% 0.60/0.80 % (7319)Memory used [KB]: 986
% 0.60/0.80 % (7319)Time elapsed: 0.003 s
% 0.60/0.80 % (7316)Time elapsed: 0.003 s
% 0.60/0.80 % (7319)Instructions burned: 4 (million)
% 0.60/0.80 % (7316)Instructions burned: 5 (million)
% 0.60/0.80 % (7319)------------------------------
% 0.60/0.80 % (7319)------------------------------
% 0.60/0.80 % (7316)------------------------------
% 0.60/0.80 % (7316)------------------------------
% 0.60/0.80 % (7315)Refutation not found, incomplete strategy% (7315)------------------------------
% 0.60/0.80 % (7315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (7315)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (7315)Memory used [KB]: 983
% 0.60/0.80 % (7315)Time elapsed: 0.003 s
% 0.60/0.80 % (7315)Instructions burned: 4 (million)
% 0.60/0.80 % (7315)------------------------------
% 0.60/0.80 % (7315)------------------------------
% 0.60/0.80 % (7312)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (7312)Memory used [KB]: 1001
% 0.60/0.80 % (7312)Time elapsed: 0.004 s
% 0.60/0.80 % (7312)Instructions burned: 4 (million)
% 0.60/0.80 % (7312)------------------------------
% 0.60/0.80 % (7312)------------------------------
% 0.60/0.80 % (7320)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 (2995ds/55Mi)
% 0.60/0.80 % (7322)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 (2995ds/208Mi)
% 0.60/0.80 % (7321)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 (2995ds/50Mi)
% 0.60/0.80 % (7323)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 (2995ds/52Mi)
% 0.60/0.80 % (7314)Refutation not found, incomplete strategy% (7314)------------------------------
% 0.60/0.80 % (7314)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (7314)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (7314)Memory used [KB]: 1097
% 0.60/0.80 % (7314)Time elapsed: 0.008 s
% 0.60/0.80 % (7314)Instructions burned: 12 (million)
% 0.60/0.80 % (7314)------------------------------
% 0.60/0.80 % (7314)------------------------------
% 0.60/0.80 % (7321)Refutation not found, incomplete strategy% (7321)------------------------------
% 0.60/0.80 % (7321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (7321)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (7321)Memory used [KB]: 992
% 0.60/0.80 % (7321)Time elapsed: 0.004 s
% 0.60/0.80 % (7321)Instructions burned: 6 (million)
% 0.60/0.80 % (7321)------------------------------
% 0.60/0.80 % (7321)------------------------------
% 0.60/0.81 % (7324)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 (2995ds/518Mi)
% 0.60/0.81 % (7325)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 (2995ds/42Mi)
% 0.60/0.81 % (7323)Refutation not found, incomplete strategy% (7323)------------------------------
% 0.60/0.81 % (7323)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (7323)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7323)Memory used [KB]: 1109
% 0.60/0.81 % (7323)Time elapsed: 0.008 s
% 0.60/0.81 % (7323)Instructions burned: 14 (million)
% 0.60/0.81 % (7323)------------------------------
% 0.60/0.81 % (7323)------------------------------
% 0.60/0.81 % (7320)Refutation not found, incomplete strategy% (7320)------------------------------
% 0.60/0.81 % (7320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (7320)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7320)Memory used [KB]: 1125
% 0.60/0.81 % (7320)Time elapsed: 0.009 s
% 0.60/0.81 % (7325)Refutation not found, incomplete strategy% (7325)------------------------------
% 0.60/0.81 % (7325)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (7325)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7325)Memory used [KB]: 1008
% 0.60/0.81 % (7325)Time elapsed: 0.003 s
% 0.60/0.81 % (7325)Instructions burned: 4 (million)
% 0.60/0.81 % (7325)------------------------------
% 0.60/0.81 % (7325)------------------------------
% 0.60/0.81 % (7320)Instructions burned: 15 (million)
% 0.60/0.81 % (7320)------------------------------
% 0.60/0.81 % (7320)------------------------------
% 0.60/0.81 % (7326)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 (2995ds/243Mi)
% 0.60/0.81 % (7327)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 (2995ds/117Mi)
% 0.60/0.81 % (7328)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 (2995ds/143Mi)
% 0.60/0.81 % (7327)Refutation not found, incomplete strategy% (7327)------------------------------
% 0.60/0.81 % (7327)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (7327)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (7327)Memory used [KB]: 988
% 0.60/0.81 % (7327)Time elapsed: 0.003 s
% 0.60/0.81 % (7327)Instructions burned: 4 (million)
% 0.60/0.81 % (7327)------------------------------
% 0.60/0.81 % (7327)------------------------------
% 0.60/0.82 % (7317)Instruction limit reached!
% 0.60/0.82 % (7317)------------------------------
% 0.60/0.82 % (7317)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7328)Refutation not found, incomplete strategy% (7328)------------------------------
% 0.60/0.82 % (7328)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7328)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (7328)Memory used [KB]: 1003
% 0.60/0.82 % (7328)Time elapsed: 0.003 s
% 0.60/0.82 % (7328)Instructions burned: 4 (million)
% 0.60/0.82 % (7328)------------------------------
% 0.60/0.82 % (7328)------------------------------
% 0.60/0.82 % (7317)Termination reason: Unknown
% 0.60/0.82 % (7317)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (7317)Memory used [KB]: 1608
% 0.60/0.82 % (7317)Time elapsed: 0.021 s
% 0.60/0.82 % (7317)Instructions burned: 45 (million)
% 0.60/0.82 % (7317)------------------------------
% 0.60/0.82 % (7317)------------------------------
% 0.60/0.82 % (7329)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 (2995ds/93Mi)
% 0.60/0.82 % (7330)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 (2995ds/62Mi)
% 0.60/0.82 % (7331)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 (2995ds/32Mi)
% 0.60/0.82 % (7330)Refutation not found, incomplete strategy% (7330)------------------------------
% 0.60/0.82 % (7330)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7330)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (7330)Memory used [KB]: 987
% 0.60/0.82 % (7330)Time elapsed: 0.003 s
% 0.60/0.82 % (7330)Instructions burned: 3 (million)
% 0.60/0.82 % (7330)------------------------------
% 0.60/0.82 % (7330)------------------------------
% 0.60/0.82 % (7313)First to succeed.
% 0.60/0.82 % (7332)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 (2995ds/1919Mi)
% 0.60/0.82 % (7313)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83 % (7313)------------------------------
% 0.60/0.83 % (7313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (7313)Termination reason: Refutation
% 0.60/0.83
% 0.60/0.83 % (7313)Memory used [KB]: 1506
% 0.60/0.83 % (7313)Time elapsed: 0.029 s
% 0.60/0.83 % (7313)Instructions burned: 53 (million)
% 0.60/0.83 % (7313)------------------------------
% 0.60/0.83 % (7313)------------------------------
% 0.60/0.83 % (7311)Success in time 0.493 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------