TSTP Solution File: GRP374-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP374-1 : 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 : n011.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 02:28:44 EDT 2024
% Result : Unsatisfiable 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 78
% Syntax : Number of formulae : 383 ( 34 unt; 0 def)
% Number of atoms : 1366 ( 332 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1823 ( 840 ~; 964 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 20 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1527,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f123,f128,f133,f138,f143,f144,f145,f147,f148,f153,f154,f155,f156,f157,f158,f163,f164,f165,f166,f167,f168,f174,f175,f176,f177,f178,f184,f185,f186,f187,f188,f213,f221,f301,f371,f386,f408,f479,f486,f760,f861,f867,f873,f935,f1078,f1317,f1507]) ).
fof(f1507,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1506,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f1486,f1321]) ).
fof(f1321,plain,
( sP5(sk_c7)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_16 ),
inference(forward_demodulation,[],[f1320,f434]) ).
fof(f434,plain,
( inverse(sk_c8) = sk_c7
| ~ spl23_1 ),
inference(forward_demodulation,[],[f55,f108]) ).
fof(f108,plain,
( sk_c7 = sF12
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl23_1
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f55,plain,
inverse(sk_c8) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1320,plain,
( sP5(inverse(sk_c8))
| ~ spl23_10
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f1319,f47]) ).
fof(f47,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1319,plain,
( sP6(sk_c7)
| sP5(inverse(sk_c8))
| ~ spl23_10
| ~ spl23_16 ),
inference(superposition,[],[f202,f684]) ).
fof(f684,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl23_10 ),
inference(forward_demodulation,[],[f81,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(f81,plain,
multiply(sk_c8,sk_c6) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f202,plain,
( ! [X4] :
( sP6(multiply(X4,sk_c6))
| sP5(inverse(X4)) )
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl23_16
<=> ! [X4] :
( sP5(inverse(X4))
| sP6(multiply(X4,sk_c6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f1486,plain,
( ~ sP5(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f46,f1485]) ).
fof(f1485,plain,
( sk_c7 = sk_c6
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1481,f1322]) ).
fof(f1322,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_10 ),
inference(superposition,[],[f457,f684]) ).
fof(f457,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl23_1 ),
inference(forward_demodulation,[],[f456,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',left_identity) ).
fof(f456,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl23_1 ),
inference(superposition,[],[f3,f433]) ).
fof(f433,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl23_1 ),
inference(forward_demodulation,[],[f222,f108]) ).
fof(f222,plain,
identity = multiply(sF12,sk_c8),
inference(superposition,[],[f2,f55]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',associativity) ).
fof(f1481,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f1472,f1479]) ).
fof(f1479,plain,
( sk_c7 = sk_c3
| ~ spl23_1
| ~ spl23_2
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1478,f1477]) ).
fof(f1477,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1476,f1461]) ).
fof(f1461,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1457,f1323]) ).
fof(f1323,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl23_1
| ~ spl23_2 ),
inference(superposition,[],[f457,f962]) ).
fof(f962,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl23_2 ),
inference(forward_demodulation,[],[f54,f112]) ).
fof(f112,plain,
( sk_c6 = sF11
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl23_2
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f54,plain,
multiply(sk_c8,sk_c7) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f1457,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f1389,f1451]) ).
fof(f1451,plain,
( identity = sk_c6
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1444,f1330]) ).
fof(f1330,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl23_1
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f215,f1326]) ).
fof(f1326,plain,
( sk_c6 = sk_c5
| ~ spl23_1
| ~ spl23_5
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1324,f1322]) ).
fof(f1324,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_5 ),
inference(superposition,[],[f457,f963]) ).
fof(f963,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl23_5 ),
inference(forward_demodulation,[],[f61,f127]) ).
fof(f127,plain,
( sk_c7 = sF15
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl23_5
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f61,plain,
multiply(sk_c8,sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f215,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl23_6 ),
inference(backward_demodulation,[],[f63,f132]) ).
fof(f132,plain,
( sk_c5 = sF16
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl23_6
<=> sk_c5 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f63,plain,
multiply(sk_c4,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1444,plain,
( identity = multiply(sk_c4,sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(superposition,[],[f1399,f1389]) ).
fof(f1399,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1386,f1384]) ).
fof(f1384,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(backward_demodulation,[],[f659,f1382]) ).
fof(f1382,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1381,f1]) ).
fof(f1381,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(superposition,[],[f3,f1377]) ).
fof(f1377,plain,
( identity = multiply(sk_c6,identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1375,f977]) ).
fof(f977,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl23_2 ),
inference(superposition,[],[f3,f962]) ).
fof(f1375,plain,
( identity = multiply(sk_c8,multiply(sk_c7,identity))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(backward_demodulation,[],[f1369,f1373]) ).
fof(f1373,plain,
( multiply(sk_c7,identity) = multiply(sk_c8,identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(superposition,[],[f457,f1369]) ).
fof(f1369,plain,
( identity = multiply(sk_c8,multiply(sk_c8,identity))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1367,f433]) ).
fof(f1367,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c8,multiply(sk_c8,identity))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(superposition,[],[f659,f1343]) ).
fof(f1343,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c8,identity)
| ~ spl23_1
| ~ spl23_2 ),
inference(superposition,[],[f977,f433]) ).
fof(f659,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl23_10 ),
inference(forward_demodulation,[],[f231,f162]) ).
fof(f231,plain,
! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sF20,X0),
inference(superposition,[],[f3,f81]) ).
fof(f1386,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f1328,f1382]) ).
fof(f1328,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl23_1
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f235,f1326]) ).
fof(f235,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl23_6 ),
inference(superposition,[],[f3,f215]) ).
fof(f1389,plain,
( sk_c8 = multiply(sk_c7,identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(backward_demodulation,[],[f1376,f1382]) ).
fof(f1376,plain,
( multiply(sk_c7,identity) = multiply(sk_c6,sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_10 ),
inference(backward_demodulation,[],[f1343,f1373]) ).
fof(f1476,plain,
( sk_c8 = multiply(sk_c4,sk_c6)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1445,f1451]) ).
fof(f1445,plain,
( sk_c8 = multiply(sk_c4,identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(superposition,[],[f1399,f433]) ).
fof(f1478,plain,
( sk_c3 = multiply(sk_c4,sk_c6)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1448,f1451]) ).
fof(f1448,plain,
( sk_c3 = multiply(sk_c4,identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(superposition,[],[f1399,f1420]) ).
fof(f1420,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_4
| ~ spl23_10 ),
inference(forward_demodulation,[],[f1414,f1384]) ).
fof(f1414,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl23_4 ),
inference(superposition,[],[f2,f959]) ).
fof(f959,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl23_4 ),
inference(backward_demodulation,[],[f59,f122]) ).
fof(f122,plain,
( sk_c8 = sF14
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl23_4
<=> sk_c8 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f59,plain,
inverse(sk_c3) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1472,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_3
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10 ),
inference(backward_demodulation,[],[f964,f1461]) ).
fof(f964,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl23_3 ),
inference(forward_demodulation,[],[f57,f117]) ).
fof(f117,plain,
( sk_c7 = sF13
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl23_3
<=> sk_c7 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f57,plain,
multiply(sk_c3,sk_c8) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f46,plain,
~ sP5(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1317,plain,
( ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f1315,f42]) ).
fof(f42,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1315,plain,
( sP1(sk_c7)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(forward_demodulation,[],[f1314,f963]) ).
fof(f1314,plain,
( sP1(multiply(sk_c8,sk_c5))
| ~ spl23_6
| ~ spl23_7
| ~ spl23_19 ),
inference(forward_demodulation,[],[f1313,f215]) ).
fof(f1313,plain,
( sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
| ~ spl23_7
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f1308,f41]) ).
fof(f41,plain,
~ sP0(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1308,plain,
( sP0(sk_c8)
| sP1(multiply(sk_c8,multiply(sk_c4,sk_c8)))
| ~ spl23_7
| ~ spl23_19 ),
inference(superposition,[],[f212,f960]) ).
fof(f960,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl23_7 ),
inference(backward_demodulation,[],[f65,f137]) ).
fof(f137,plain,
( sk_c8 = sF17
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl23_7
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f65,plain,
inverse(sk_c4) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f212,plain,
( ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(sk_c8,multiply(X7,sk_c8))) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl23_19
<=> ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(sk_c8,multiply(X7,sk_c8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f1078,plain,
( ~ spl23_3
| ~ spl23_4
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1077,plain,
( $false
| ~ spl23_3
| ~ spl23_4
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f1076,f44]) ).
fof(f44,plain,
~ sP3(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1076,plain,
( sP3(sk_c7)
| ~ spl23_3
| ~ spl23_4
| ~ spl23_18 ),
inference(forward_demodulation,[],[f1075,f964]) ).
fof(f1075,plain,
( sP3(multiply(sk_c3,sk_c8))
| ~ spl23_4
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f1060,f43]) ).
fof(f43,plain,
~ sP2(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1060,plain,
( sP2(sk_c8)
| sP3(multiply(sk_c3,sk_c8))
| ~ spl23_4
| ~ spl23_18 ),
inference(superposition,[],[f209,f959]) ).
fof(f209,plain,
( ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c8)) )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl23_18
<=> ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f935,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| ~ spl23_1
| spl23_2
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(subsumption_resolution,[],[f933,f901]) ).
fof(f901,plain,
( sk_c7 = sk_c6
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(forward_demodulation,[],[f900,f875]) ).
fof(f875,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f1,f874]) ).
fof(f874,plain,
( identity = sk_c7
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f433,f783]) ).
fof(f783,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f443,f780]) ).
fof(f780,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl23_1
| ~ spl23_9 ),
inference(forward_demodulation,[],[f779,f1]) ).
fof(f779,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl23_1
| ~ spl23_9 ),
inference(superposition,[],[f3,f501]) ).
fof(f501,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl23_1
| ~ spl23_9 ),
inference(superposition,[],[f457,f441]) ).
fof(f441,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f225,f152]) ).
fof(f152,plain,
( sk_c8 = sF19
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl23_9
<=> sk_c8 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f225,plain,
identity = multiply(sF19,sk_c1),
inference(superposition,[],[f2,f74]) ).
fof(f74,plain,
inverse(sk_c1) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f443,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl23_8 ),
inference(backward_demodulation,[],[f67,f142]) ).
fof(f142,plain,
( sk_c7 = sF18
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl23_8
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f67,plain,
multiply(sk_c1,sk_c8) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f900,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9
| ~ spl23_10 ),
inference(forward_demodulation,[],[f684,f878]) ).
fof(f878,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(backward_demodulation,[],[f783,f875]) ).
fof(f933,plain,
( sk_c7 != sk_c6
| ~ spl23_1
| spl23_2
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f111,f928]) ).
fof(f928,plain,
( sk_c7 = sF11
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f927,f875]) ).
fof(f927,plain,
( sF11 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_8
| ~ spl23_9 ),
inference(forward_demodulation,[],[f54,f878]) ).
fof(f111,plain,
( sk_c6 != sF11
| spl23_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f873,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f872,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f871,f44]) ).
fof(f871,plain,
( sP3(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(forward_demodulation,[],[f870,f799]) ).
fof(f799,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f788,f785]) ).
fof(f785,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11 ),
inference(backward_demodulation,[],[f657,f784]) ).
fof(f784,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9 ),
inference(forward_demodulation,[],[f781,f230]) ).
fof(f230,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl23_2 ),
inference(superposition,[],[f3,f220]) ).
fof(f220,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl23_2 ),
inference(backward_demodulation,[],[f54,f112]) ).
fof(f781,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl23_1
| ~ spl23_9 ),
inference(backward_demodulation,[],[f461,f780]) ).
fof(f461,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl23_9 ),
inference(forward_demodulation,[],[f460,f1]) ).
fof(f460,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl23_9 ),
inference(superposition,[],[f3,f441]) ).
fof(f657,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl23_11 ),
inference(forward_demodulation,[],[f237,f172]) ).
fof(f172,plain,
( sk_c7 = sF21
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl23_11
<=> sk_c7 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f237,plain,
! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sF21,X0),
inference(superposition,[],[f3,f88]) ).
fof(f88,plain,
multiply(sk_c2,sk_c6) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f788,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_12 ),
inference(backward_demodulation,[],[f778,f784]) ).
fof(f778,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl23_12 ),
inference(forward_demodulation,[],[f777,f1]) ).
fof(f777,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl23_12 ),
inference(superposition,[],[f3,f693]) ).
fof(f693,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl23_12 ),
inference(forward_demodulation,[],[f226,f182]) ).
fof(f182,plain,
( sk_c6 = sF22
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl23_12
<=> sk_c6 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f226,plain,
identity = multiply(sF22,sk_c2),
inference(superposition,[],[f2,f95]) ).
fof(f95,plain,
inverse(sk_c2) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f870,plain,
( sP3(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f869,f821]) ).
fof(f821,plain,
( ~ sP2(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f43,f819]) ).
fof(f819,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f815,f434]) ).
fof(f815,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f814,f807]) ).
fof(f807,plain,
( identity = sk_c8
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f433,f799]) ).
fof(f814,plain,
( sk_c8 = inverse(identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f442,f805]) ).
fof(f805,plain,
( identity = sk_c1
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f501,f799]) ).
fof(f442,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f74,f152]) ).
fof(f869,plain,
( sP2(sk_c7)
| sP3(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(superposition,[],[f868,f827]) ).
fof(f827,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f434,f819]) ).
fof(f868,plain,
( ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c7)) )
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12
| ~ spl23_18 ),
inference(forward_demodulation,[],[f209,f819]) ).
fof(f867,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f866,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f865,f47]) ).
fof(f865,plain,
( sP6(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f864,f799]) ).
fof(f864,plain,
( sP6(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(subsumption_resolution,[],[f863,f835]) ).
fof(f835,plain,
( ~ sP5(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f46,f808]) ).
fof(f808,plain,
( sk_c7 = sk_c6
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f794,f799]) ).
fof(f794,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10 ),
inference(backward_demodulation,[],[f220,f786]) ).
fof(f786,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10 ),
inference(backward_demodulation,[],[f659,f784]) ).
fof(f863,plain,
( sP5(sk_c7)
| sP6(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(superposition,[],[f862,f827]) ).
fof(f862,plain,
( ! [X4] :
( sP5(inverse(X4))
| sP6(multiply(X4,sk_c7)) )
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_16 ),
inference(forward_demodulation,[],[f202,f808]) ).
fof(f861,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f859,f42]) ).
fof(f859,plain,
( sP1(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(forward_demodulation,[],[f858,f799]) ).
fof(f858,plain,
( sP1(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f857,f820]) ).
fof(f820,plain,
( ~ sP0(sk_c7)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f41,f819]) ).
fof(f857,plain,
( sP0(sk_c7)
| sP1(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(superposition,[],[f829,f827]) ).
fof(f829,plain,
( ! [X7] :
( sP0(inverse(X7))
| sP1(multiply(X7,sk_c7)) )
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(backward_demodulation,[],[f806,f819]) ).
fof(f806,plain,
( ! [X7] :
( sP1(multiply(X7,sk_c8))
| sP0(inverse(X7)) )
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_19 ),
inference(backward_demodulation,[],[f793,f799]) ).
fof(f793,plain,
( ! [X7] :
( sP1(multiply(sk_c7,multiply(X7,sk_c8)))
| sP0(inverse(X7)) )
| ~ spl23_1
| ~ spl23_2
| ~ spl23_9
| ~ spl23_10
| ~ spl23_19 ),
inference(backward_demodulation,[],[f212,f786]) ).
fof(f760,plain,
( ~ spl23_1
| ~ spl23_2
| spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(subsumption_resolution,[],[f758,f445]) ).
fof(f445,plain,
( sk_c8 != sk_c7
| spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f126,f435]) ).
fof(f435,plain,
( sk_c8 = sF15
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f61,f266]) ).
fof(f266,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl23_6
| ~ spl23_7 ),
inference(superposition,[],[f243,f215]) ).
fof(f243,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl23_7 ),
inference(forward_demodulation,[],[f242,f1]) ).
fof(f242,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl23_7 ),
inference(superposition,[],[f3,f224]) ).
fof(f224,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl23_7 ),
inference(superposition,[],[f2,f214]) ).
fof(f214,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl23_7 ),
inference(backward_demodulation,[],[f65,f137]) ).
fof(f126,plain,
( sk_c7 != sF15
| spl23_5 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f758,plain,
( sk_c8 = sk_c7
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f757,f434]) ).
fof(f757,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f442,f755]) ).
fof(f755,plain,
( sk_c8 = sk_c1
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f735,f730]) ).
fof(f730,plain,
( sk_c8 = sk_c5
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f695,f723]) ).
fof(f723,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_demodulation,[],[f721,f696]) ).
fof(f696,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl23_1
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f1,f694]) ).
fof(f694,plain,
( identity = sk_c5
| ~ spl23_1
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f499,f433]) ).
fof(f499,plain,
( sk_c5 = multiply(sk_c7,sk_c8)
| ~ spl23_1
| ~ spl23_6
| ~ spl23_7 ),
inference(superposition,[],[f457,f266]) ).
fof(f721,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f706,f709]) ).
fof(f709,plain,
( sk_c5 = sk_c2
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(backward_demodulation,[],[f700,f705]) ).
fof(f705,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7 ),
inference(forward_demodulation,[],[f702,f230]) ).
fof(f702,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl23_1
| ~ spl23_7 ),
inference(backward_demodulation,[],[f243,f495]) ).
fof(f495,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl23_1
| ~ spl23_7 ),
inference(superposition,[],[f457,f243]) ).
fof(f700,plain,
( sk_c5 = multiply(sk_c6,sk_c2)
| ~ spl23_1
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(backward_demodulation,[],[f693,f694]) ).
fof(f706,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_11 ),
inference(backward_demodulation,[],[f657,f705]) ).
fof(f695,plain,
( sk_c5 = multiply(sk_c7,sk_c8)
| ~ spl23_1
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f433,f694]) ).
fof(f735,plain,
( sk_c5 = sk_c1
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(backward_demodulation,[],[f719,f723]) ).
fof(f719,plain,
( sk_c5 = multiply(sk_c7,sk_c1)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10 ),
inference(backward_demodulation,[],[f698,f707]) ).
fof(f707,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_7
| ~ spl23_10 ),
inference(backward_demodulation,[],[f659,f705]) ).
fof(f698,plain,
( sk_c5 = multiply(sk_c8,sk_c1)
| ~ spl23_1
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f441,f694]) ).
fof(f486,plain,
( ~ spl23_10
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f485,plain,
( $false
| ~ spl23_10
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f484,f48]) ).
fof(f48,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f484,plain,
( sP7(sk_c7)
| ~ spl23_10
| ~ spl23_15 ),
inference(forward_demodulation,[],[f199,f162]) ).
fof(f199,plain,
( sP7(sF20)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl23_15
<=> sP7(sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f479,plain,
( ~ spl23_8
| ~ spl23_9
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f478,plain,
( $false
| ~ spl23_8
| ~ spl23_9
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f477,f50]) ).
fof(f50,plain,
~ sP9(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f477,plain,
( sP9(sk_c7)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_14 ),
inference(forward_demodulation,[],[f476,f443]) ).
fof(f476,plain,
( sP9(multiply(sk_c1,sk_c8))
| ~ spl23_9
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f466,f49]) ).
fof(f49,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f466,plain,
( sP8(sk_c8)
| sP9(multiply(sk_c1,sk_c8))
| ~ spl23_9
| ~ spl23_14 ),
inference(superposition,[],[f195,f442]) ).
fof(f195,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c8)) )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl23_14
<=> ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f408,plain,
( ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f406,f50]) ).
fof(f406,plain,
( sP9(sk_c7)
| ~ spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(forward_demodulation,[],[f405,f337]) ).
fof(f337,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f335,f316]) ).
fof(f316,plain,
( ! [X0] : multiply(sF12,multiply(sk_c7,X0)) = X0
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f315,f1]) ).
fof(f315,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c7,X0))
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(superposition,[],[f3,f281]) ).
fof(f281,plain,
( identity = multiply(sF12,sk_c7)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f222,f268]) ).
fof(f268,plain,
( sk_c8 = sk_c7
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f266,f216]) ).
fof(f216,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl23_5 ),
inference(backward_demodulation,[],[f61,f127]) ).
fof(f335,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sF12,multiply(sk_c7,X0))
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f285,f327]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF12,X0)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(superposition,[],[f316,f288]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f241,f268]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl23_4 ),
inference(forward_demodulation,[],[f232,f1]) ).
fof(f232,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl23_4 ),
inference(superposition,[],[f3,f223]) ).
fof(f223,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl23_4 ),
inference(superposition,[],[f2,f217]) ).
fof(f217,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl23_4 ),
inference(backward_demodulation,[],[f59,f122]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl23_3
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f234,f268]) ).
fof(f234,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl23_3 ),
inference(superposition,[],[f3,f218]) ).
fof(f218,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl23_3 ),
inference(backward_demodulation,[],[f57,f117]) ).
fof(f405,plain,
( sP9(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f402,f271]) ).
fof(f271,plain,
( ~ sP8(sk_c7)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f49,f268]) ).
fof(f402,plain,
( sP8(sk_c7)
| sP9(multiply(sk_c7,sk_c7))
| ~ spl23_1
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(superposition,[],[f387,f382]) ).
fof(f382,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_1
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f272,f108]) ).
fof(f272,plain,
( sF12 = inverse(sk_c7)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f55,f268]) ).
fof(f387,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c7)) )
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_14 ),
inference(forward_demodulation,[],[f195,f268]) ).
fof(f386,plain,
( ~ spl23_13
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f383,f106,f190]) ).
fof(f190,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,[],[f102,f108]) ).
fof(f102,plain,
~ sP10(sF12),
inference(definition_folding,[],[f51,f55]) ).
fof(f51,plain,
~ sP10(inverse(sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f371,plain,
( spl23_1
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(avatar_split_clause,[],[f370,f135,f130,f125,f120,f115,f106]) ).
fof(f370,plain,
( sk_c7 = sF12
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f369,f272]) ).
fof(f369,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f276,f367]) ).
fof(f367,plain,
( sk_c7 = sk_c4
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f348,f357]) ).
fof(f357,plain,
( identity = sk_c7
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f281,f343]) ).
fof(f343,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f316,f337]) ).
fof(f348,plain,
( identity = sk_c4
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f283,f337]) ).
fof(f283,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f224,f268]) ).
fof(f276,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f214,f268]) ).
fof(f301,plain,
( spl23_10
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(avatar_split_clause,[],[f300,f135,f130,f125,f120,f115,f110,f160]) ).
fof(f300,plain,
( sk_c7 = sF20
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f296,f292]) ).
fof(f292,plain,
( sF20 = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f254,f268]) ).
fof(f254,plain,
( sF20 = multiply(sk_c8,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f81,f252]) ).
fof(f252,plain,
( sk_c8 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f250,f220]) ).
fof(f250,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f241,f218]) ).
fof(f296,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f258,f268]) ).
fof(f258,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f220,f252]) ).
fof(f221,plain,
( ~ spl23_17
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f219,f110,f204]) ).
fof(f204,plain,
( spl23_17
<=> sP4(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f219,plain,
( ~ sP4(sk_c6)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f103,f112]) ).
fof(f103,plain,
~ sP4(sF11),
inference(definition_folding,[],[f45,f54]) ).
fof(f45,plain,
~ sP4(multiply(sk_c8,sk_c7)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f213,plain,
( spl23_13
| spl23_14
| spl23_15
| spl23_16
| spl23_17
| spl23_18
| spl23_19 ),
inference(avatar_split_clause,[],[f104,f211,f208,f204,f201,f197,f194,f190]) ).
fof(f104,plain,
! [X3,X7,X4,X5] :
( sP0(inverse(X7))
| sP1(multiply(sk_c8,multiply(X7,sk_c8)))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c8))
| sP4(sk_c6)
| sP5(inverse(X4))
| sP6(multiply(X4,sk_c6))
| sP7(sF20)
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c8))
| sP10(sk_c7) ),
inference(definition_folding,[],[f53,f81]) ).
fof(f53,plain,
! [X3,X7,X4,X5] :
( sP0(inverse(X7))
| sP1(multiply(sk_c8,multiply(X7,sk_c8)))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c8))
| sP4(sk_c6)
| sP5(inverse(X4))
| sP6(multiply(X4,sk_c6))
| sP7(multiply(sk_c8,sk_c6))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c8))
| sP10(sk_c7) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X3,X6,X7,X4,X5] :
( sP0(inverse(X7))
| multiply(X7,sk_c8) != X6
| sP1(multiply(sk_c8,X6))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c8))
| sP4(sk_c6)
| sP5(inverse(X4))
| sP6(multiply(X4,sk_c6))
| sP7(multiply(sk_c8,sk_c6))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c8))
| sP10(sk_c7) ),
inference(inequality_splitting,[],[f40,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X7)
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_37) ).
fof(f188,plain,
( spl23_12
| spl23_7 ),
inference(avatar_split_clause,[],[f101,f135,f180]) ).
fof(f101,plain,
( sk_c8 = sF17
| sk_c6 = sF22 ),
inference(definition_folding,[],[f39,f95,f65]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_36) ).
fof(f187,plain,
( spl23_12
| spl23_6 ),
inference(avatar_split_clause,[],[f100,f130,f180]) ).
fof(f100,plain,
( sk_c5 = sF16
| sk_c6 = sF22 ),
inference(definition_folding,[],[f38,f95,f63]) ).
fof(f38,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_35) ).
fof(f186,plain,
( spl23_12
| spl23_5 ),
inference(avatar_split_clause,[],[f99,f125,f180]) ).
fof(f99,plain,
( sk_c7 = sF15
| sk_c6 = sF22 ),
inference(definition_folding,[],[f37,f95,f61]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_34) ).
fof(f185,plain,
( spl23_12
| spl23_4 ),
inference(avatar_split_clause,[],[f98,f120,f180]) ).
fof(f98,plain,
( sk_c8 = sF14
| sk_c6 = sF22 ),
inference(definition_folding,[],[f36,f95,f59]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_33) ).
fof(f184,plain,
( spl23_12
| spl23_3 ),
inference(avatar_split_clause,[],[f97,f115,f180]) ).
fof(f97,plain,
( sk_c7 = sF13
| sk_c6 = sF22 ),
inference(definition_folding,[],[f35,f95,f57]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_32) ).
fof(f178,plain,
( spl23_11
| spl23_7 ),
inference(avatar_split_clause,[],[f94,f135,f170]) ).
fof(f94,plain,
( sk_c8 = sF17
| sk_c7 = sF21 ),
inference(definition_folding,[],[f33,f88,f65]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_30) ).
fof(f177,plain,
( spl23_11
| spl23_6 ),
inference(avatar_split_clause,[],[f93,f130,f170]) ).
fof(f93,plain,
( sk_c5 = sF16
| sk_c7 = sF21 ),
inference(definition_folding,[],[f32,f88,f63]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_29) ).
fof(f176,plain,
( spl23_11
| spl23_5 ),
inference(avatar_split_clause,[],[f92,f125,f170]) ).
fof(f92,plain,
( sk_c7 = sF15
| sk_c7 = sF21 ),
inference(definition_folding,[],[f31,f88,f61]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_28) ).
fof(f175,plain,
( spl23_11
| spl23_4 ),
inference(avatar_split_clause,[],[f91,f120,f170]) ).
fof(f91,plain,
( sk_c8 = sF14
| sk_c7 = sF21 ),
inference(definition_folding,[],[f30,f88,f59]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_27) ).
fof(f174,plain,
( spl23_11
| spl23_3 ),
inference(avatar_split_clause,[],[f90,f115,f170]) ).
fof(f90,plain,
( sk_c7 = sF13
| sk_c7 = sF21 ),
inference(definition_folding,[],[f29,f88,f57]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_26) ).
fof(f168,plain,
( spl23_10
| spl23_7 ),
inference(avatar_split_clause,[],[f87,f135,f160]) ).
fof(f87,plain,
( sk_c8 = sF17
| sk_c7 = sF20 ),
inference(definition_folding,[],[f27,f81,f65]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_24) ).
fof(f167,plain,
( spl23_10
| spl23_6 ),
inference(avatar_split_clause,[],[f86,f130,f160]) ).
fof(f86,plain,
( sk_c5 = sF16
| sk_c7 = sF20 ),
inference(definition_folding,[],[f26,f81,f63]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_23) ).
fof(f166,plain,
( spl23_10
| spl23_5 ),
inference(avatar_split_clause,[],[f85,f125,f160]) ).
fof(f85,plain,
( sk_c7 = sF15
| sk_c7 = sF20 ),
inference(definition_folding,[],[f25,f81,f61]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_22) ).
fof(f165,plain,
( spl23_10
| spl23_4 ),
inference(avatar_split_clause,[],[f84,f120,f160]) ).
fof(f84,plain,
( sk_c8 = sF14
| sk_c7 = sF20 ),
inference(definition_folding,[],[f24,f81,f59]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_21) ).
fof(f164,plain,
( spl23_10
| spl23_3 ),
inference(avatar_split_clause,[],[f83,f115,f160]) ).
fof(f83,plain,
( sk_c7 = sF13
| sk_c7 = sF20 ),
inference(definition_folding,[],[f23,f81,f57]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_20) ).
fof(f163,plain,
( spl23_10
| spl23_2 ),
inference(avatar_split_clause,[],[f82,f110,f160]) ).
fof(f82,plain,
( sk_c6 = sF11
| sk_c7 = sF20 ),
inference(definition_folding,[],[f22,f81,f54]) ).
fof(f22,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_19) ).
fof(f158,plain,
( spl23_9
| spl23_7 ),
inference(avatar_split_clause,[],[f80,f135,f150]) ).
fof(f80,plain,
( sk_c8 = sF17
| sk_c8 = sF19 ),
inference(definition_folding,[],[f21,f74,f65]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_18) ).
fof(f157,plain,
( spl23_9
| spl23_6 ),
inference(avatar_split_clause,[],[f79,f130,f150]) ).
fof(f79,plain,
( sk_c5 = sF16
| sk_c8 = sF19 ),
inference(definition_folding,[],[f20,f74,f63]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_17) ).
fof(f156,plain,
( spl23_9
| spl23_5 ),
inference(avatar_split_clause,[],[f78,f125,f150]) ).
fof(f78,plain,
( sk_c7 = sF15
| sk_c8 = sF19 ),
inference(definition_folding,[],[f19,f74,f61]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_16) ).
fof(f155,plain,
( spl23_9
| spl23_4 ),
inference(avatar_split_clause,[],[f77,f120,f150]) ).
fof(f77,plain,
( sk_c8 = sF14
| sk_c8 = sF19 ),
inference(definition_folding,[],[f18,f74,f59]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_15) ).
fof(f154,plain,
( spl23_9
| spl23_3 ),
inference(avatar_split_clause,[],[f76,f115,f150]) ).
fof(f76,plain,
( sk_c7 = sF13
| sk_c8 = sF19 ),
inference(definition_folding,[],[f17,f74,f57]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_14) ).
fof(f153,plain,
( spl23_9
| spl23_2 ),
inference(avatar_split_clause,[],[f75,f110,f150]) ).
fof(f75,plain,
( sk_c6 = sF11
| sk_c8 = sF19 ),
inference(definition_folding,[],[f16,f74,f54]) ).
fof(f16,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_13) ).
fof(f148,plain,
( spl23_8
| spl23_7 ),
inference(avatar_split_clause,[],[f73,f135,f140]) ).
fof(f73,plain,
( sk_c8 = sF17
| sk_c7 = sF18 ),
inference(definition_folding,[],[f15,f67,f65]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_12) ).
fof(f147,plain,
( spl23_8
| spl23_6 ),
inference(avatar_split_clause,[],[f72,f130,f140]) ).
fof(f72,plain,
( sk_c5 = sF16
| sk_c7 = sF18 ),
inference(definition_folding,[],[f14,f67,f63]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_11) ).
fof(f145,plain,
( spl23_8
| spl23_4 ),
inference(avatar_split_clause,[],[f70,f120,f140]) ).
fof(f70,plain,
( sk_c8 = sF14
| sk_c7 = sF18 ),
inference(definition_folding,[],[f12,f67,f59]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_9) ).
fof(f144,plain,
( spl23_8
| spl23_3 ),
inference(avatar_split_clause,[],[f69,f115,f140]) ).
fof(f69,plain,
( sk_c7 = sF13
| sk_c7 = sF18 ),
inference(definition_folding,[],[f11,f67,f57]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_8) ).
fof(f143,plain,
( spl23_8
| spl23_2 ),
inference(avatar_split_clause,[],[f68,f110,f140]) ).
fof(f68,plain,
( sk_c6 = sF11
| sk_c7 = sF18 ),
inference(definition_folding,[],[f10,f67,f54]) ).
fof(f10,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_7) ).
fof(f138,plain,
( spl23_1
| spl23_7 ),
inference(avatar_split_clause,[],[f66,f135,f106]) ).
fof(f66,plain,
( sk_c8 = sF17
| sk_c7 = sF12 ),
inference(definition_folding,[],[f9,f55,f65]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_6) ).
fof(f133,plain,
( spl23_1
| spl23_6 ),
inference(avatar_split_clause,[],[f64,f130,f106]) ).
fof(f64,plain,
( sk_c5 = sF16
| sk_c7 = sF12 ),
inference(definition_folding,[],[f8,f55,f63]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_5) ).
fof(f128,plain,
( spl23_1
| spl23_5 ),
inference(avatar_split_clause,[],[f62,f125,f106]) ).
fof(f62,plain,
( sk_c7 = sF15
| sk_c7 = sF12 ),
inference(definition_folding,[],[f7,f55,f61]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_4) ).
fof(f123,plain,
( spl23_1
| spl23_4 ),
inference(avatar_split_clause,[],[f60,f120,f106]) ).
fof(f60,plain,
( sk_c8 = sF14
| sk_c7 = sF12 ),
inference(definition_folding,[],[f6,f55,f59]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_3) ).
fof(f118,plain,
( spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f58,f115,f106]) ).
fof(f58,plain,
( sk_c7 = sF13
| sk_c7 = sF12 ),
inference(definition_folding,[],[f5,f55,f57]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.H2F2yUW9M6/Vampire---4.8_20113',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP374-1 : 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 18:31:01 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.37 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.H2F2yUW9M6/Vampire---4.8_20113
% 0.56/0.75 % (20366)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)
% 0.56/0.75 % (20360)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)
% 0.56/0.75 % (20362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (20361)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)
% 0.56/0.75 % (20365)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)
% 0.56/0.75 % (20363)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)
% 0.56/0.75 % (20367)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)
% 0.56/0.75 % (20360)Refutation not found, incomplete strategy% (20360)------------------------------
% 0.56/0.75 % (20360)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (20360)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20360)Memory used [KB]: 1008
% 0.56/0.75 % (20363)Refutation not found, incomplete strategy% (20363)------------------------------
% 0.56/0.75 % (20363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (20360)Time elapsed: 0.004 s
% 0.56/0.75 % (20360)Instructions burned: 4 (million)
% 0.56/0.75 % (20360)------------------------------
% 0.56/0.75 % (20360)------------------------------
% 0.56/0.75 % (20363)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20363)Memory used [KB]: 989
% 0.56/0.75 % (20363)Time elapsed: 0.004 s
% 0.56/0.75 % (20363)Instructions burned: 4 (million)
% 0.56/0.75 % (20363)------------------------------
% 0.56/0.75 % (20363)------------------------------
% 0.56/0.75 % (20367)Refutation not found, incomplete strategy% (20367)------------------------------
% 0.56/0.75 % (20367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (20367)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20367)Memory used [KB]: 993
% 0.56/0.75 % (20367)Time elapsed: 0.003 s
% 0.56/0.75 % (20367)Instructions burned: 4 (million)
% 0.56/0.75 % (20367)------------------------------
% 0.56/0.75 % (20367)------------------------------
% 0.56/0.75 % (20362)Refutation not found, incomplete strategy% (20362)------------------------------
% 0.56/0.75 % (20362)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (20362)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (20362)Memory used [KB]: 1069
% 0.56/0.75 % (20362)Time elapsed: 0.005 s
% 0.56/0.75 % (20362)Instructions burned: 7 (million)
% 0.56/0.75 % (20362)------------------------------
% 0.56/0.75 % (20362)------------------------------
% 0.56/0.75 % (20364)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)
% 0.56/0.75 % (20369)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)
% 0.56/0.76 % (20368)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)
% 0.56/0.76 % (20371)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)
% 0.56/0.76 % (20364)Refutation not found, incomplete strategy% (20364)------------------------------
% 0.56/0.76 % (20364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (20364)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (20364)Memory used [KB]: 1007
% 0.56/0.76 % (20364)Time elapsed: 0.004 s
% 0.56/0.76 % (20364)Instructions burned: 5 (million)
% 0.56/0.76 % (20364)------------------------------
% 0.56/0.76 % (20364)------------------------------
% 0.56/0.76 % (20370)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)
% 0.56/0.76 % (20369)Refutation not found, incomplete strategy% (20369)------------------------------
% 0.56/0.76 % (20369)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (20369)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (20369)Memory used [KB]: 994
% 0.56/0.76 % (20369)Time elapsed: 0.004 s
% 0.56/0.76 % (20369)Instructions burned: 6 (million)
% 0.56/0.76 % (20369)------------------------------
% 0.56/0.76 % (20369)------------------------------
% 0.56/0.76 % (20368)Refutation not found, incomplete strategy% (20368)------------------------------
% 0.56/0.76 % (20368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (20368)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (20368)Memory used [KB]: 1079
% 0.56/0.76 % (20368)Time elapsed: 0.005 s
% 0.56/0.76 % (20368)Instructions burned: 7 (million)
% 0.56/0.76 % (20368)------------------------------
% 0.56/0.76 % (20368)------------------------------
% 0.56/0.76 % (20371)Refutation not found, incomplete strategy% (20371)------------------------------
% 0.56/0.76 % (20371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (20371)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (20371)Memory used [KB]: 1069
% 0.56/0.76 % (20371)Time elapsed: 0.005 s
% 0.56/0.76 % (20371)Instructions burned: 7 (million)
% 0.56/0.76 % (20371)------------------------------
% 0.56/0.76 % (20371)------------------------------
% 0.63/0.76 % (20372)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)
% 0.63/0.76 % (20370)Refutation not found, incomplete strategy% (20370)------------------------------
% 0.63/0.76 % (20370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.76 % (20370)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76
% 0.63/0.76 % (20370)Memory used [KB]: 1107
% 0.63/0.76 % (20370)Time elapsed: 0.007 s
% 0.63/0.76 % (20370)Instructions burned: 10 (million)
% 0.63/0.76 % (20370)------------------------------
% 0.63/0.76 % (20370)------------------------------
% 0.63/0.76 % (20374)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)
% 0.63/0.76 % (20375)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)
% 0.63/0.77 % (20375)Refutation not found, incomplete strategy% (20375)------------------------------
% 0.63/0.77 % (20375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20375)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (20375)Memory used [KB]: 994
% 0.63/0.77 % (20375)Time elapsed: 0.003 s
% 0.63/0.77 % (20375)Instructions burned: 4 (million)
% 0.63/0.77 % (20375)------------------------------
% 0.63/0.77 % (20375)------------------------------
% 0.63/0.77 % (20376)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)
% 0.63/0.77 % (20376)Refutation not found, incomplete strategy% (20376)------------------------------
% 0.63/0.77 % (20376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20376)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (20376)Memory used [KB]: 1009
% 0.63/0.77 % (20376)Time elapsed: 0.004 s
% 0.63/0.77 % (20376)Instructions burned: 4 (million)
% 0.63/0.77 % (20376)------------------------------
% 0.63/0.77 % (20376)------------------------------
% 0.63/0.77 % (20365)Instruction limit reached!
% 0.63/0.77 % (20365)------------------------------
% 0.63/0.77 % (20365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20365)Termination reason: Unknown
% 0.63/0.77 % (20365)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (20365)Memory used [KB]: 1635
% 0.63/0.77 % (20365)Time elapsed: 0.023 s
% 0.63/0.77 % (20365)Instructions burned: 45 (million)
% 0.63/0.77 % (20365)------------------------------
% 0.63/0.77 % (20365)------------------------------
% 0.63/0.77 % (20366)Instruction limit reached!
% 0.63/0.77 % (20366)------------------------------
% 0.63/0.77 % (20366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20366)Termination reason: Unknown
% 0.63/0.77 % (20366)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (20366)Memory used [KB]: 2114
% 0.63/0.77 % (20366)Time elapsed: 0.025 s
% 0.63/0.77 % (20366)Instructions burned: 83 (million)
% 0.63/0.77 % (20366)------------------------------
% 0.63/0.77 % (20366)------------------------------
% 0.63/0.77 % (20377)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)
% 0.63/0.77 % (20373)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)
% 0.63/0.77 % (20378)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)
% 0.63/0.77 % (20379)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)
% 0.63/0.77 % (20373)Refutation not found, incomplete strategy% (20373)------------------------------
% 0.63/0.77 % (20373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20361)Instruction limit reached!
% 0.63/0.77 % (20361)------------------------------
% 0.63/0.77 % (20361)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20361)Termination reason: Unknown
% 0.63/0.77 % (20361)Termination phase: Saturation
% 0.63/0.77
% 0.63/0.77 % (20361)Memory used [KB]: 1674
% 0.63/0.77 % (20361)Time elapsed: 0.028 s
% 0.63/0.77 % (20361)Instructions burned: 51 (million)
% 0.63/0.77 % (20361)------------------------------
% 0.63/0.77 % (20361)------------------------------
% 0.63/0.77 % (20373)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (20373)Memory used [KB]: 1008
% 0.63/0.77 % (20373)Time elapsed: 0.002 s
% 0.63/0.77 % (20373)Instructions burned: 4 (million)
% 0.63/0.77 % (20373)------------------------------
% 0.63/0.77 % (20373)------------------------------
% 0.63/0.77 % (20378)Refutation not found, incomplete strategy% (20378)------------------------------
% 0.63/0.77 % (20378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77 % (20378)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77
% 0.63/0.77 % (20378)Memory used [KB]: 993
% 0.63/0.77 % (20378)Time elapsed: 0.004 s
% 0.63/0.77 % (20378)Instructions burned: 3 (million)
% 0.63/0.77 % (20378)------------------------------
% 0.63/0.77 % (20378)------------------------------
% 0.63/0.78 % (20374)Refutation not found, incomplete strategy% (20374)------------------------------
% 0.63/0.78 % (20374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (20374)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (20374)Memory used [KB]: 1208
% 0.63/0.78 % (20374)Time elapsed: 0.014 s
% 0.63/0.78 % (20374)Instructions burned: 24 (million)
% 0.63/0.78 % (20374)------------------------------
% 0.63/0.78 % (20374)------------------------------
% 0.63/0.78 % (20380)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)
% 0.63/0.78 % (20381)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)
% 0.63/0.78 % (20380)Refutation not found, incomplete strategy% (20380)------------------------------
% 0.63/0.78 % (20380)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (20380)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (20380)Memory used [KB]: 1069
% 0.63/0.78 % (20380)Time elapsed: 0.003 s
% 0.63/0.78 % (20380)Instructions burned: 7 (million)
% 0.63/0.78 % (20380)------------------------------
% 0.63/0.78 % (20380)------------------------------
% 0.63/0.78 % (20382)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)
% 0.63/0.78 % (20383)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)
% 0.63/0.78 % (20381)Refutation not found, incomplete strategy% (20381)------------------------------
% 0.63/0.78 % (20381)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (20381)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (20381)Memory used [KB]: 1033
% 0.63/0.78 % (20381)Time elapsed: 0.004 s
% 0.63/0.78 % (20381)Instructions burned: 5 (million)
% 0.63/0.78 % (20381)------------------------------
% 0.63/0.78 % (20381)------------------------------
% 0.63/0.78 % (20385)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)
% 0.63/0.78 % (20383)Refutation not found, incomplete strategy% (20383)------------------------------
% 0.63/0.78 % (20383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78 % (20383)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78
% 0.63/0.78 % (20383)Memory used [KB]: 997
% 0.63/0.78 % (20383)Time elapsed: 0.004 s
% 0.63/0.78 % (20383)Instructions burned: 4 (million)
% 0.63/0.78 % (20383)------------------------------
% 0.63/0.78 % (20383)------------------------------
% 0.63/0.78 % (20384)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)
% 0.63/0.79 % (20386)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)
% 0.63/0.79 % (20387)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)
% 0.63/0.79 % (20379)Instruction limit reached!
% 0.63/0.79 % (20379)------------------------------
% 0.63/0.79 % (20379)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (20379)Termination reason: Unknown
% 0.63/0.79 % (20379)Termination phase: Saturation
% 0.63/0.79
% 0.63/0.79 % (20379)Memory used [KB]: 1302
% 0.63/0.79 % (20379)Time elapsed: 0.016 s
% 0.63/0.79 % (20379)Instructions burned: 32 (million)
% 0.63/0.79 % (20379)------------------------------
% 0.63/0.79 % (20379)------------------------------
% 0.63/0.79 % (20385)Instruction limit reached!
% 0.63/0.79 % (20385)------------------------------
% 0.63/0.79 % (20385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (20385)Termination reason: Unknown
% 0.63/0.79 % (20385)Termination phase: Saturation
% 0.63/0.79
% 0.63/0.79 % (20385)Memory used [KB]: 1178
% 0.63/0.79 % (20385)Time elapsed: 0.032 s
% 0.63/0.79 % (20385)Instructions burned: 36 (million)
% 0.63/0.79 % (20385)------------------------------
% 0.63/0.79 % (20385)------------------------------
% 0.63/0.79 % (20388)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 (2995ds/161Mi)
% 0.63/0.79 % (20389)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 (2995ds/69Mi)
% 0.63/0.79 % (20388)Refutation not found, incomplete strategy% (20388)------------------------------
% 0.63/0.79 % (20388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.79 % (20388)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79
% 0.63/0.79 % (20388)Memory used [KB]: 988
% 0.63/0.79 % (20388)Time elapsed: 0.004 s
% 0.63/0.79 % (20388)Instructions burned: 4 (million)
% 0.63/0.79 % (20388)------------------------------
% 0.63/0.79 % (20388)------------------------------
% 0.63/0.80 % (20389)Refutation not found, incomplete strategy% (20389)------------------------------
% 0.63/0.80 % (20389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (20389)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80
% 0.63/0.80 % (20389)Memory used [KB]: 1010
% 0.63/0.80 % (20389)Time elapsed: 0.025 s
% 0.63/0.80 % (20389)Instructions burned: 4 (million)
% 0.63/0.80 % (20389)------------------------------
% 0.63/0.80 % (20389)------------------------------
% 0.63/0.80 % (20391)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 (2995ds/360Mi)
% 0.63/0.80 % (20390)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 (2995ds/40Mi)
% 0.63/0.80 % (20382)Instruction limit reached!
% 0.63/0.80 % (20382)------------------------------
% 0.63/0.80 % (20382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (20382)Termination reason: Unknown
% 0.63/0.80 % (20382)Termination phase: Saturation
% 0.63/0.80
% 0.63/0.80 % (20382)Memory used [KB]: 1177
% 0.63/0.80 % (20382)Time elapsed: 0.027 s
% 0.63/0.80 % (20382)Instructions burned: 53 (million)
% 0.63/0.80 % (20382)------------------------------
% 0.63/0.80 % (20382)------------------------------
% 0.63/0.81 % (20390)Refutation not found, incomplete strategy% (20390)------------------------------
% 0.63/0.81 % (20390)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (20390)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.81
% 0.63/0.81 % (20390)Memory used [KB]: 1167
% 0.63/0.81 % (20390)Time elapsed: 0.010 s
% 0.63/0.81 % (20390)Instructions burned: 13 (million)
% 0.63/0.81 % (20390)------------------------------
% 0.63/0.81 % (20390)------------------------------
% 0.63/0.81 % (20392)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 (2995ds/161Mi)
% 0.63/0.81 % (20393)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 (2995ds/80Mi)
% 0.63/0.82 % (20377)Instruction limit reached!
% 0.63/0.82 % (20377)------------------------------
% 0.63/0.82 % (20377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (20377)Termination reason: Unknown
% 0.63/0.82 % (20377)Termination phase: Saturation
% 0.63/0.82
% 0.63/0.82 % (20377)Memory used [KB]: 2146
% 0.63/0.82 % (20377)Time elapsed: 0.049 s
% 0.63/0.82 % (20377)Instructions burned: 93 (million)
% 0.63/0.82 % (20377)------------------------------
% 0.63/0.82 % (20377)------------------------------
% 0.63/0.82 % (20391)First to succeed.
% 0.63/0.82 % (20391)Refutation found. Thanks to Tanya!
% 0.63/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.83 % (20391)------------------------------
% 0.63/0.83 % (20391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83 % (20391)Termination reason: Refutation
% 0.63/0.83
% 0.63/0.83 % (20391)Memory used [KB]: 1411
% 0.63/0.83 % (20391)Time elapsed: 0.024 s
% 0.63/0.83 % (20391)Instructions burned: 71 (million)
% 0.63/0.83 % (20391)------------------------------
% 0.63/0.83 % (20391)------------------------------
% 0.63/0.83 % (20356)Success in time 0.454 s
% 0.63/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------