TSTP Solution File: GRP289-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP289-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 02:28:24 EDT 2024
% Result : Unsatisfiable 0.69s 0.83s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 47
% Syntax : Number of formulae : 289 ( 4 unt; 0 def)
% Number of atoms : 1178 ( 300 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1764 ( 875 ~; 870 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1744,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f82,f83,f84,f85,f90,f91,f92,f93,f94,f107,f166,f465,f714,f848,f871,f878,f880,f1064,f1109,f1182,f1220,f1226,f1227,f1400,f1406,f1506,f1515,f1608,f1615,f1630,f1714,f1722,f1743]) ).
fof(f1743,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1738,f87,f78,f69,f60,f31,f868]) ).
fof(f868,plain,
( spl0_24
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f31,plain,
( spl0_1
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f78,plain,
( spl0_9
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1738,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1657,f1732]) ).
fof(f1732,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1731,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',left_identity) ).
fof(f1731,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f3,f1728]) ).
fof(f1728,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1727,f469]) ).
fof(f469,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f2,f89]) ).
fof(f89,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',left_inverse) ).
fof(f1727,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1725,f472]) ).
fof(f472,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f62]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f1725,plain,
( multiply(sk_c6,identity) = multiply(sk_c1,multiply(sk_c7,sk_c2))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f472,f1683]) ).
fof(f1683,plain,
( multiply(sk_c7,identity) = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1673,f1650]) ).
fof(f1650,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f33,f1646]) ).
fof(f1646,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f1643,f62]) ).
fof(f1643,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1642,f1]) ).
fof(f1642,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f1631]) ).
fof(f1631,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f33,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f1673,plain,
( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
| ~ spl0_1
| ~ spl0_10 ),
inference(superposition,[],[f471,f469]) ).
fof(f471,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f33]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',associativity) ).
fof(f1657,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1638,f1650]) ).
fof(f1638,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f480,f80]) ).
fof(f80,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f480,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_10 ),
inference(forward_demodulation,[],[f478,f1]) ).
fof(f478,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f469]) ).
fof(f1722,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1721,f69,f60,f837]) ).
fof(f837,plain,
( spl0_19
<=> sk_c6 = multiply(sk_c6,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1721,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1697,f62]) ).
fof(f1697,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f472,f1646]) ).
fof(f1714,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1713,f69,f60,f55,f50,f31,f868]) ).
fof(f50,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f55,plain,
( spl0_6
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1713,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1712,f62]) ).
fof(f1712,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1711,f1659]) ).
fof(f1659,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1633,f1650]) ).
fof(f1633,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f1124,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f1124,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f1123,f1]) ).
fof(f1123,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f1115]) ).
fof(f1115,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f1711,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1698,f1650]) ).
fof(f1698,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c1,sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f472,f33]) ).
fof(f1630,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_19
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1629,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_19
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1628]) ).
fof(f1628,plain,
( sk_c6 != sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_19
| ~ spl0_24 ),
inference(superposition,[],[f1623,f1411]) ).
fof(f1411,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1228,f838]) ).
fof(f838,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f1228,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_24 ),
inference(superposition,[],[f33,f869]) ).
fof(f869,plain,
( sk_c7 = sk_c6
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1623,plain,
( sk_c6 != sk_c5
| spl0_2
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1622,f838]) ).
fof(f1622,plain,
( sk_c5 != multiply(sk_c6,sk_c6)
| spl0_2
| ~ spl0_24 ),
inference(forward_demodulation,[],[f36,f869]) ).
fof(f36,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_2
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1615,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1614,f868,f864,f837,f105,f87,f78,f40,f31,f833]) ).
fof(f833,plain,
( spl0_18
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f40,plain,
( spl0_3
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f105,plain,
( spl0_14
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f864,plain,
( spl0_23
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1614,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14
| ~ spl0_19
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1594,f1551]) ).
fof(f1551,plain,
( sk_c3 = sk_c2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1540,f1538]) ).
fof(f1538,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_23
| ~ spl0_24 ),
inference(superposition,[],[f1533,f1232]) ).
fof(f1232,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f1114,f869]) ).
fof(f1114,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f1533,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1532,f1]) ).
fof(f1532,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_23 ),
inference(superposition,[],[f3,f1523]) ).
fof(f1523,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_23 ),
inference(superposition,[],[f2,f865]) ).
fof(f865,plain,
( sk_c6 = inverse(identity)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1540,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_23 ),
inference(superposition,[],[f1533,f469]) ).
fof(f1594,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1591]) ).
fof(f1591,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_14
| ~ spl0_19
| ~ spl0_24 ),
inference(superposition,[],[f1519,f1516]) ).
fof(f1516,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_demodulation,[],[f80,f1411]) ).
fof(f1519,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_19
| ~ spl0_24 ),
inference(forward_demodulation,[],[f106,f1411]) ).
fof(f106,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f1608,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_4
| ~ spl0_14
| ~ spl0_19
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1599,f868,f837,f105,f45,f31,f833]) ).
fof(f45,plain,
( spl0_4
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1599,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_14
| ~ spl0_19
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1586]) ).
fof(f1586,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_14
| ~ spl0_19
| ~ spl0_24 ),
inference(superposition,[],[f1519,f1522]) ).
fof(f1522,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f47,f869]) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f1515,plain,
( ~ spl0_23
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1498,f868,f102,f864]) ).
fof(f102,plain,
( spl0_13
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1498,plain,
( sk_c6 != inverse(identity)
| ~ spl0_13
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1481]) ).
fof(f1481,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f1417,f1]) ).
fof(f1417,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1416,f869]) ).
fof(f1416,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f103,f869]) ).
fof(f103,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f1506,plain,
( ~ spl0_18
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1505,f868,f102,f45,f833]) ).
fof(f1505,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1504]) ).
fof(f1504,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1487,f869]) ).
fof(f1487,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_24 ),
inference(superposition,[],[f1417,f47]) ).
fof(f1406,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1405,f868,f850,f99,f87,f55,f50,f45,f40,f35,f31,f833]) ).
fof(f99,plain,
( spl0_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f850,plain,
( spl0_20
<=> sk_c6 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1405,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1404,f1303]) ).
fof(f1303,plain,
( sk_c3 = sk_c2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1291,f1289]) ).
fof(f1289,plain,
( identity = sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f1261,f1232]) ).
fof(f1261,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1258,f1]) ).
fof(f1258,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f3,f1255]) ).
fof(f1255,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1249,f869]) ).
fof(f1249,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f1121,f1243]) ).
fof(f1243,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1241,f1114]) ).
fof(f1241,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_24 ),
inference(superposition,[],[f116,f1232]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f47]) ).
fof(f1121,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1120,f1]) ).
fof(f1120,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f1114]) ).
fof(f1291,plain,
( identity = sk_c2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f1261,f469]) ).
fof(f1404,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1403]) ).
fof(f1403,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1370,f1205]) ).
fof(f1205,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1201,f851]) ).
fof(f851,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f1201,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f1172,f1197]) ).
fof(f1197,plain,
( sk_c5 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1195,f33]) ).
fof(f1195,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f1191]) ).
fof(f1191,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f1124,f57]) ).
fof(f1172,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f116,f37]) ).
fof(f37,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f1370,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_24 ),
inference(superposition,[],[f100,f1285]) ).
fof(f1285,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f1261,f480]) ).
fof(f100,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f1400,plain,
( ~ spl0_18
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1399,f868,f850,f99,f55,f50,f45,f40,f35,f31,f833]) ).
fof(f1399,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1398,f1302]) ).
fof(f1302,plain,
( sk_c3 = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1290,f1289]) ).
fof(f1290,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_24 ),
inference(superposition,[],[f1261,f1115]) ).
fof(f1398,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1397]) ).
fof(f1397,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1368,f1205]) ).
fof(f1368,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_24 ),
inference(superposition,[],[f100,f1286]) ).
fof(f1286,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_24 ),
inference(superposition,[],[f1261,f1124]) ).
fof(f1227,plain,
( ~ spl0_24
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f1113,f833,f40,f868]) ).
fof(f1113,plain,
( sk_c7 != sk_c6
| ~ spl0_3
| spl0_18 ),
inference(superposition,[],[f835,f42]) ).
fof(f835,plain,
( sk_c6 != inverse(sk_c3)
| spl0_18 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f1226,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1222,f850,f55,f50,f45,f35,f31,f868]) ).
fof(f1222,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f47,f1214]) ).
fof(f1214,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1210,f851]) ).
fof(f1210,plain,
( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f1172,f1205]) ).
fof(f1220,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1218,f850,f55,f50,f45,f35,f31,f837]) ).
fof(f1218,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f1124,f1213]) ).
fof(f1213,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_20 ),
inference(superposition,[],[f57,f1205]) ).
fof(f1182,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1180,f45,f40,f850]) ).
fof(f1180,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f1121,f47]) ).
fof(f1109,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1108,f99,f78,f69,f60,f31,f87]) ).
fof(f1108,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1107]) ).
fof(f1107,plain,
( sk_c7 != sk_c7
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1099,f496]) ).
fof(f496,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f492,f33]) ).
fof(f492,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f476,f62]) ).
fof(f476,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f475,f1]) ).
fof(f475,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f468]) ).
fof(f468,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f1099,plain,
( sk_c7 != sk_c5
| sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f883,f80]) ).
fof(f883,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f100,f496]) ).
fof(f1064,plain,
( spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f882,f868,f850,f837]) ).
fof(f882,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f851,f869]) ).
fof(f880,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f879,f868,f850,f837]) ).
fof(f879,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f852,f869]) ).
fof(f852,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| spl0_20 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f878,plain,
( ~ spl0_10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_23 ),
inference(avatar_split_clause,[],[f877,f864,f87,f69,f60,f35,f31,f87]) ).
fof(f877,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_23 ),
inference(forward_demodulation,[],[f866,f535]) ).
fof(f535,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f469,f512]) ).
fof(f512,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f510,f1]) ).
fof(f510,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f3,f505]) ).
fof(f505,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f502,f468]) ).
fof(f502,plain,
( multiply(sk_c6,identity) = multiply(sk_c7,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f474,f496]) ).
fof(f474,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c1)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f114,f468]) ).
fof(f114,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f866,plain,
( sk_c6 != inverse(identity)
| spl0_23 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f871,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f813,f105,f69,f60,f31,f868,f864]) ).
fof(f813,plain,
( sk_c7 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f720,f1]) ).
fof(f720,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f106,f496]) ).
fof(f848,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f847,f105,f87,f78,f69,f60,f50,f35,f31,f50]) ).
fof(f847,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f823,f726]) ).
fof(f726,plain,
( sk_c4 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f725,f512]) ).
fof(f725,plain,
( sk_c1 = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f724,f526]) ).
fof(f526,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f512,f109]) ).
fof(f109,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f52]) ).
fof(f724,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f722,f512]) ).
fof(f722,plain,
( multiply(sk_c6,identity) = multiply(sk_c6,sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f474,f565]) ).
fof(f565,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f563,f521]) ).
fof(f521,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f512,f122]) ).
fof(f122,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f109]) ).
fof(f563,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f80,f537]) ).
fof(f537,plain,
( sk_c4 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f527,f526]) ).
fof(f527,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f512,f469]) ).
fof(f823,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f822,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f720,f62]) ).
fof(f714,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f686,f96,f60,f69]) ).
fof(f96,plain,
( spl0_11
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f686,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f685]) ).
fof(f685,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f97,f62]) ).
fof(f97,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f465,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( sk_c6 != sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f457,f255]) ).
fof(f255,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f52,f240]) ).
fof(f240,plain,
( sk_c3 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f226,f225]) ).
fof(f225,plain,
( identity = sk_c3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f206,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f108,f167]) ).
fof(f167,plain,
( sk_c7 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f157,f47]) ).
fof(f157,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f150,f156]) ).
fof(f156,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f154,f151]) ).
fof(f151,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f145,f150]) ).
fof(f145,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f127]) ).
fof(f127,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f122,f57]) ).
fof(f154,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f150]) ).
fof(f121,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f108]) ).
fof(f150,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f144,f123]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f121,f47]) ).
fof(f144,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f116,f37]) ).
fof(f108,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_3 ),
inference(superposition,[],[f2,f42]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f3,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f198,f167]) ).
fof(f198,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f121,f190]) ).
fof(f190,plain,
( identity = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f188,f108]) ).
fof(f188,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f116,f172]) ).
fof(f226,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f206,f109]) ).
fof(f457,plain,
( sk_c6 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f456,f225]) ).
fof(f456,plain,
( sk_c6 != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f437]) ).
fof(f437,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f436,f1]) ).
fof(f436,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f435,f167]) ).
fof(f435,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f167]) ).
fof(f166,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f164]) ).
fof(f164,plain,
( sk_c6 != sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f161,f156]) ).
fof(f161,plain,
( sk_c6 != sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f32,f151]) ).
fof(f32,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f107,plain,
( ~ spl0_1
| spl0_11
| spl0_12
| ~ spl0_2
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f96,f31]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_26) ).
fof(f94,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f55,f87]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_25) ).
fof(f93,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f50,f87]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_24) ).
fof(f92,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f45,f87]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_23) ).
fof(f91,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f25,f40,f87]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_22) ).
fof(f90,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f35,f87]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_21) ).
fof(f85,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f55,f78]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_20) ).
fof(f84,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f22,f50,f78]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_19) ).
fof(f83,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f45,f78]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_18) ).
fof(f82,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f40,f78]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_17) ).
fof(f76,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f55,f69]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_15) ).
fof(f75,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f50,f69]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_14) ).
fof(f74,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f45,f69]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_13) ).
fof(f73,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f40,f69]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_12) ).
fof(f72,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f35,f69]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_11) ).
fof(f67,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f55,f60]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_10) ).
fof(f66,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f50,f60]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_9) ).
fof(f65,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f45,f60]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_8) ).
fof(f64,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f40,f60]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_7) ).
fof(f63,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f35,f60]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_6) ).
fof(f58,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f55,f31]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_5) ).
fof(f53,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f50,f31]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_4) ).
fof(f48,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f45,f31]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_3) ).
fof(f43,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f40,f31]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_2) ).
fof(f38,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f35,f31]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP289-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 18:43:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dSNYMGZuUU/Vampire---4.8_9966
% 0.61/0.79 % (10174)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)
% 0.61/0.79 % (10176)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)
% 0.61/0.79 % (10176)Refutation not found, incomplete strategy% (10176)------------------------------
% 0.61/0.79 % (10176)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (10176)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (10176)Memory used [KB]: 980
% 0.61/0.79 % (10176)Time elapsed: 0.002 s
% 0.61/0.79 % (10176)Instructions burned: 3 (million)
% 0.61/0.79 % (10176)------------------------------
% 0.61/0.79 % (10176)------------------------------
% 0.61/0.79 % (10169)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)
% 0.61/0.79 % (10171)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (10172)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)
% 0.61/0.79 % (10170)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)
% 0.61/0.79 % (10173)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)
% 0.61/0.79 % (10174)Refutation not found, incomplete strategy% (10174)------------------------------
% 0.61/0.79 % (10174)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (10175)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)
% 0.61/0.79 % (10174)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (10174)Memory used [KB]: 984
% 0.61/0.79 % (10174)Time elapsed: 0.002 s
% 0.61/0.79 % (10174)Instructions burned: 4 (million)
% 0.61/0.79 % (10174)------------------------------
% 0.61/0.79 % (10174)------------------------------
% 0.61/0.79 % (10169)Refutation not found, incomplete strategy% (10169)------------------------------
% 0.61/0.79 % (10169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (10169)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (10169)Memory used [KB]: 995
% 0.61/0.79 % (10169)Time elapsed: 0.003 s
% 0.61/0.79 % (10169)Instructions burned: 3 (million)
% 0.61/0.79 % (10169)------------------------------
% 0.61/0.79 % (10169)------------------------------
% 0.61/0.79 % (10172)Refutation not found, incomplete strategy% (10172)------------------------------
% 0.61/0.79 % (10172)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (10172)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (10172)Memory used [KB]: 987
% 0.61/0.79 % (10172)Time elapsed: 0.003 s
% 0.61/0.79 % (10172)Instructions burned: 3 (million)
% 0.61/0.79 % (10172)------------------------------
% 0.61/0.79 % (10172)------------------------------
% 0.61/0.79 % (10173)Refutation not found, incomplete strategy% (10173)------------------------------
% 0.61/0.79 % (10173)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10173)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10173)Memory used [KB]: 994
% 0.61/0.80 % (10173)Time elapsed: 0.003 s
% 0.61/0.80 % (10173)Instructions burned: 4 (million)
% 0.61/0.80 % (10173)------------------------------
% 0.61/0.80 % (10173)------------------------------
% 0.61/0.80 % (10177)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)
% 0.61/0.80 % (10171)Refutation not found, incomplete strategy% (10171)------------------------------
% 0.61/0.80 % (10171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10171)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10171)Memory used [KB]: 1050
% 0.61/0.80 % (10171)Time elapsed: 0.004 s
% 0.61/0.80 % (10171)Instructions burned: 4 (million)
% 0.61/0.80 % (10171)------------------------------
% 0.61/0.80 % (10171)------------------------------
% 0.61/0.80 % (10178)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)
% 0.61/0.80 % (10178)Refutation not found, incomplete strategy% (10178)------------------------------
% 0.61/0.80 % (10178)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10178)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10177)Refutation not found, incomplete strategy% (10177)------------------------------
% 0.61/0.80 % (10177)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10178)Memory used [KB]: 989
% 0.61/0.80 % (10178)Time elapsed: 0.002 s
% 0.61/0.80 % (10178)Instructions burned: 5 (million)
% 0.61/0.80 % (10178)------------------------------
% 0.61/0.80 % (10178)------------------------------
% 0.61/0.80 % (10177)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10177)Memory used [KB]: 1060
% 0.61/0.80 % (10177)Time elapsed: 0.002 s
% 0.61/0.80 % (10177)Instructions burned: 5 (million)
% 0.61/0.80 % (10177)------------------------------
% 0.61/0.80 % (10177)------------------------------
% 0.61/0.80 % (10179)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)
% 0.61/0.80 % (10180)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)
% 0.61/0.80 % (10181)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)
% 0.61/0.80 % (10183)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)
% 0.61/0.80 % (10184)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)
% 0.61/0.80 % (10182)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)
% 0.61/0.80 % (10184)Refutation not found, incomplete strategy% (10184)------------------------------
% 0.61/0.80 % (10184)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10184)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10184)Memory used [KB]: 980
% 0.61/0.80 % (10184)Time elapsed: 0.002 s
% 0.61/0.80 % (10184)Instructions burned: 3 (million)
% 0.61/0.80 % (10184)------------------------------
% 0.61/0.80 % (10184)------------------------------
% 0.61/0.80 % (10181)Refutation not found, incomplete strategy% (10181)------------------------------
% 0.61/0.80 % (10181)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10181)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10181)Memory used [KB]: 983
% 0.61/0.80 % (10181)Time elapsed: 0.005 s
% 0.61/0.80 % (10181)Instructions burned: 4 (million)
% 0.61/0.80 % (10180)Refutation not found, incomplete strategy% (10180)------------------------------
% 0.61/0.80 % (10180)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10180)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10180)Memory used [KB]: 1050
% 0.61/0.80 % (10180)Time elapsed: 0.004 s
% 0.61/0.80 % (10180)Instructions burned: 4 (million)
% 0.61/0.80 % (10180)------------------------------
% 0.61/0.80 % (10180)------------------------------
% 0.61/0.80 % (10181)------------------------------
% 0.61/0.80 % (10181)------------------------------
% 0.61/0.80 % (10182)Refutation not found, incomplete strategy% (10182)------------------------------
% 0.61/0.80 % (10182)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10182)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10182)Memory used [KB]: 1001
% 0.61/0.80 % (10182)Time elapsed: 0.004 s
% 0.61/0.80 % (10182)Instructions burned: 4 (million)
% 0.61/0.80 % (10182)------------------------------
% 0.61/0.80 % (10182)------------------------------
% 0.61/0.80 % (10185)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)
% 0.61/0.80 % (10179)Refutation not found, incomplete strategy% (10179)------------------------------
% 0.61/0.80 % (10179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (10179)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (10179)Memory used [KB]: 1078
% 0.61/0.80 % (10179)Time elapsed: 0.007 s
% 0.61/0.80 % (10179)Instructions burned: 9 (million)
% 0.61/0.80 % (10179)------------------------------
% 0.61/0.80 % (10179)------------------------------
% 0.69/0.80 % (10185)Refutation not found, incomplete strategy% (10185)------------------------------
% 0.69/0.80 % (10185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.80 % (10185)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.80
% 0.69/0.80 % (10185)Memory used [KB]: 996
% 0.69/0.80 % (10185)Time elapsed: 0.002 s
% 0.69/0.80 % (10185)Instructions burned: 3 (million)
% 0.69/0.80 % (10185)------------------------------
% 0.69/0.80 % (10185)------------------------------
% 0.69/0.81 % (10186)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)
% 0.69/0.81 % (10187)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)
% 0.69/0.81 % (10188)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)
% 0.69/0.81 % (10190)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 (2995ds/55Mi)
% 0.69/0.81 % (10187)Refutation not found, incomplete strategy% (10187)------------------------------
% 0.69/0.81 % (10187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.81 % (10187)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.81
% 0.69/0.81 % (10187)Memory used [KB]: 981
% 0.69/0.81 % (10187)Time elapsed: 0.004 s
% 0.69/0.81 % (10187)Instructions burned: 3 (million)
% 0.69/0.81 % (10187)------------------------------
% 0.69/0.81 % (10187)------------------------------
% 0.69/0.81 % (10190)Refutation not found, incomplete strategy% (10190)------------------------------
% 0.69/0.81 % (10190)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.81 % (10190)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.81
% 0.69/0.81 % (10190)Memory used [KB]: 997
% 0.69/0.81 % (10190)Time elapsed: 0.002 s
% 0.69/0.81 % (10189)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)
% 0.69/0.81 % (10190)Instructions burned: 4 (million)
% 0.69/0.81 % (10190)------------------------------
% 0.69/0.81 % (10190)------------------------------
% 0.69/0.81 % (10192)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 (2995ds/46Mi)
% 0.69/0.81 % (10189)Refutation not found, incomplete strategy% (10189)------------------------------
% 0.69/0.81 % (10189)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.81 % (10189)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.81
% 0.69/0.81 % (10189)Memory used [KB]: 1050
% 0.69/0.81 % (10189)Time elapsed: 0.005 s
% 0.69/0.81 % (10189)Instructions burned: 5 (million)
% 0.69/0.81 % (10189)------------------------------
% 0.69/0.81 % (10189)------------------------------
% 0.69/0.81 % (10192)Refutation not found, incomplete strategy% (10192)------------------------------
% 0.69/0.81 % (10192)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.81 % (10192)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.81
% 0.69/0.81 % (10192)Memory used [KB]: 985
% 0.69/0.81 % (10192)Time elapsed: 0.002 s
% 0.69/0.81 % (10192)Instructions burned: 3 (million)
% 0.69/0.81 % (10192)------------------------------
% 0.69/0.81 % (10192)------------------------------
% 0.69/0.81 % (10191)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 (2995ds/53Mi)
% 0.69/0.82 % (10194)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 (2995ds/35Mi)
% 0.69/0.82 % (10193)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 (2995ds/102Mi)
% 0.69/0.82 % (10193)Refutation not found, incomplete strategy% (10193)------------------------------
% 0.69/0.82 % (10193)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.82 % (10193)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.82
% 0.69/0.82 % (10193)Memory used [KB]: 1067
% 0.69/0.82 % (10193)Time elapsed: 0.006 s
% 0.69/0.82 % (10193)Instructions burned: 6 (million)
% 0.69/0.82 % (10193)------------------------------
% 0.69/0.82 % (10193)------------------------------
% 0.69/0.82 % (10170)First to succeed.
% 0.69/0.82 % (10191)Refutation not found, incomplete strategy% (10191)------------------------------
% 0.69/0.82 % (10191)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.82 % (10191)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.82
% 0.69/0.82 % (10191)Memory used [KB]: 1060
% 0.69/0.82 % (10191)Time elapsed: 0.010 s
% 0.69/0.82 % (10191)Instructions burned: 18 (million)
% 0.69/0.82 % (10191)------------------------------
% 0.69/0.82 % (10191)------------------------------
% 0.69/0.82 % (10188)Instruction limit reached!
% 0.69/0.82 % (10188)------------------------------
% 0.69/0.82 % (10188)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.82 % (10188)Termination reason: Unknown
% 0.69/0.82 % (10188)Termination phase: Saturation
% 0.69/0.82
% 0.69/0.82 % (10188)Memory used [KB]: 1325
% 0.69/0.82 % (10188)Time elapsed: 0.018 s
% 0.69/0.82 % (10188)Instructions burned: 33 (million)
% 0.69/0.82 % (10188)------------------------------
% 0.69/0.82 % (10188)------------------------------
% 0.69/0.82 % (10195)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.69/0.82 % (10194)Instruction limit reached!
% 0.69/0.82 % (10194)------------------------------
% 0.69/0.82 % (10194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.82 % (10194)Termination reason: Unknown
% 0.69/0.82 % (10194)Termination phase: Saturation
% 0.69/0.82
% 0.69/0.82 % (10194)Memory used [KB]: 1203
% 0.69/0.82 % (10194)Time elapsed: 0.011 s
% 0.69/0.82 % (10194)Instructions burned: 35 (million)
% 0.69/0.82 % (10194)------------------------------
% 0.69/0.82 % (10194)------------------------------
% 0.69/0.83 % (10170)Refutation found. Thanks to Tanya!
% 0.69/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.69/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.83 % (10170)------------------------------
% 0.69/0.83 % (10170)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.83 % (10170)Termination reason: Refutation
% 0.69/0.83
% 0.69/0.83 % (10170)Memory used [KB]: 1356
% 0.69/0.83 % (10170)Time elapsed: 0.033 s
% 0.69/0.83 % (10170)Instructions burned: 55 (million)
% 0.69/0.83 % (10170)------------------------------
% 0.69/0.83 % (10170)------------------------------
% 0.69/0.83 % (10123)Success in time 0.452 s
% 0.69/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------