TSTP Solution File: GRP389-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP389-1 : 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:47:39 EDT 2024
% Result : Unsatisfiable 0.66s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 104
% Syntax : Number of formulae : 494 ( 42 unt; 0 def)
% Number of atoms : 1824 ( 412 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2458 (1128 ~;1303 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 28 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1961,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f158,f163,f168,f173,f178,f183,f188,f193,f198,f199,f200,f201,f202,f203,f204,f205,f206,f211,f212,f213,f214,f215,f216,f217,f218,f219,f226,f227,f228,f230,f231,f232,f239,f240,f241,f243,f244,f245,f252,f253,f254,f256,f257,f258,f281,f490,f524,f609,f666,f684,f695,f709,f815,f878,f894,f948,f953,f960,f999,f1053,f1063,f1066,f1069,f1170,f1656,f1711,f1882,f1946,f1958]) ).
fof(f1958,plain,
( ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1957,plain,
( $false
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(subsumption_resolution,[],[f1930,f1954]) ).
fof(f1954,plain,
( sP5(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(forward_demodulation,[],[f1953,f1832]) ).
fof(f1832,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1792,f1831]) ).
fof(f1831,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1817,f1792]) ).
fof(f1817,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f925,f1812]) ).
fof(f1812,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,X0)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1810,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',left_identity) ).
fof(f1810,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(identity,X0))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(superposition,[],[f3,f1801]) ).
fof(f1801,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1783,f1800]) ).
fof(f1800,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl28_13
| ~ spl28_14 ),
inference(forward_demodulation,[],[f1794,f716]) ).
fof(f716,plain,
( sk_c10 = multiply(sk_c2,sk_c3)
| ~ spl28_13 ),
inference(backward_demodulation,[],[f114,f223]) ).
fof(f223,plain,
( sk_c10 = sF25
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl28_13
<=> sk_c10 = sF25 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f114,plain,
multiply(sk_c2,sk_c3) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
fof(f1794,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c10,sk_c10)
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f715,f1125]) ).
fof(f1125,plain,
( sk_c3 = multiply(sk_c3,sk_c10)
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f925,f716]) ).
fof(f715,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl28_13 ),
inference(backward_demodulation,[],[f309,f223]) ).
fof(f309,plain,
! [X0] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sF25,X0),
inference(superposition,[],[f3,f114]) ).
fof(f1783,plain,
( multiply(sk_c10,sk_c10) = multiply(sk_c3,identity)
| ~ spl28_1
| ~ spl28_15 ),
inference(superposition,[],[f711,f955]) ).
fof(f955,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl28_1 ),
inference(backward_demodulation,[],[f291,f148]) ).
fof(f148,plain,
( sk_c9 = sF14
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl28_1
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f291,plain,
identity = multiply(sF14,sk_c10),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
inverse(sk_c10) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',left_inverse) ).
fof(f711,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl28_15 ),
inference(backward_demodulation,[],[f310,f249]) ).
fof(f249,plain,
( sk_c10 = sF27
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl28_15
<=> sk_c10 = sF27 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f310,plain,
! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sF27,X0),
inference(superposition,[],[f3,f134]) ).
fof(f134,plain,
multiply(sk_c3,sk_c9) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',associativity) ).
fof(f925,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl28_14 ),
inference(forward_demodulation,[],[f924,f1]) ).
fof(f924,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl28_14 ),
inference(superposition,[],[f3,f713]) ).
fof(f713,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl28_14 ),
inference(backward_demodulation,[],[f297,f236]) ).
fof(f236,plain,
( sk_c3 = sF26
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl28_14
<=> sk_c3 = sF26 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f297,plain,
identity = multiply(sF26,sk_c2),
inference(superposition,[],[f2,f124]) ).
fof(f124,plain,
inverse(sk_c2) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
fof(f1792,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl28_13
| ~ spl28_14 ),
inference(superposition,[],[f715,f925]) ).
fof(f1953,plain,
( sP5(multiply(sk_c10,sk_c10))
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_43 ),
inference(forward_demodulation,[],[f661,f1922]) ).
fof(f1922,plain,
( sk_c10 = sk_c2
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1898,f1845]) ).
fof(f1845,plain,
( identity = sk_c10
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1826,f1832]) ).
fof(f1826,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1811,f1825]) ).
fof(f1825,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1816,f1811]) ).
fof(f1816,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1801,f1812]) ).
fof(f1811,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c10,identity)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1809,f1795]) ).
fof(f1795,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c2,sk_c10)
| ~ spl28_13
| ~ spl28_15 ),
inference(superposition,[],[f715,f712]) ).
fof(f712,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl28_15 ),
inference(backward_demodulation,[],[f134,f249]) ).
fof(f1809,plain,
( multiply(sk_c10,identity) = multiply(sk_c2,sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(superposition,[],[f715,f1801]) ).
fof(f1898,plain,
( identity = sk_c2
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1821,f1832]) ).
fof(f1821,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f713,f1812]) ).
fof(f661,plain,
( sP5(multiply(sk_c2,sk_c10))
| ~ spl28_43 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl28_43
<=> sP5(multiply(sk_c2,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
fof(f1930,plain,
( ~ sP5(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f64,f1897]) ).
fof(f1897,plain,
( sk_c10 = sk_c9
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1820,f1832]) ).
fof(f1820,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f712,f1812]) ).
fof(f64,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1946,plain,
( ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_44 ),
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1945,plain,
( $false
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_44 ),
inference(subsumption_resolution,[],[f1944,f63]) ).
fof(f63,plain,
~ sP4(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1944,plain,
( sP4(sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_44 ),
inference(forward_demodulation,[],[f665,f1916]) ).
fof(f1916,plain,
( sk_c10 = sF26
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f236,f1896]) ).
fof(f1896,plain,
( sk_c10 = sk_c3
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_demodulation,[],[f1819,f1832]) ).
fof(f1819,plain,
( sk_c3 = multiply(sk_c10,sk_c10)
| ~ spl28_1
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f1125,f1812]) ).
fof(f665,plain,
( sP4(sF26)
| ~ spl28_44 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl28_44
<=> sP4(sF26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_44])]) ).
fof(f1882,plain,
( ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f1880,f66]) ).
fof(f66,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1880,plain,
( sP7(sk_c10)
| ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(forward_demodulation,[],[f1879,f1134]) ).
fof(f1134,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl28_11
| ~ spl28_12 ),
inference(superposition,[],[f1011,f718]) ).
fof(f718,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl28_12 ),
inference(backward_demodulation,[],[f104,f210]) ).
fof(f210,plain,
( sk_c11 = sF24
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl28_12
<=> sk_c11 = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f104,plain,
multiply(sk_c1,sk_c10) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
fof(f1011,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
| ~ spl28_11 ),
inference(forward_demodulation,[],[f1010,f1]) ).
fof(f1010,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
| ~ spl28_11 ),
inference(superposition,[],[f3,f719]) ).
fof(f719,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl28_11 ),
inference(backward_demodulation,[],[f296,f197]) ).
fof(f197,plain,
( sk_c11 = sF23
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl28_11
<=> sk_c11 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f296,plain,
identity = multiply(sF23,sk_c1),
inference(superposition,[],[f2,f94]) ).
fof(f94,plain,
inverse(sk_c1) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f1879,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl28_1
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_19 ),
inference(backward_demodulation,[],[f1676,f1838]) ).
fof(f1838,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl28_1
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(backward_demodulation,[],[f717,f1832]) ).
fof(f717,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl28_12 ),
inference(backward_demodulation,[],[f308,f210]) ).
fof(f308,plain,
! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sF24,X0),
inference(superposition,[],[f3,f104]) ).
fof(f1676,plain,
( sP7(multiply(sk_c1,sk_c11))
| ~ spl28_11
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f1674,f65]) ).
fof(f65,plain,
~ sP6(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1674,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c1,sk_c11))
| ~ spl28_11
| ~ spl28_19 ),
inference(superposition,[],[f271,f720]) ).
fof(f720,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl28_11 ),
inference(backward_demodulation,[],[f94,f197]) ).
fof(f271,plain,
( ! [X6] :
( sP6(inverse(X6))
| sP7(multiply(X6,sk_c11)) )
| ~ spl28_19 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl28_19
<=> ! [X6] :
( sP6(inverse(X6))
| sP7(multiply(X6,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f1711,plain,
( ~ spl28_1
| ~ spl28_4
| ~ spl28_5
| ~ spl28_11
| ~ spl28_12
| ~ spl28_19 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
fof(f1710,plain,
( $false
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5
| ~ spl28_11
| ~ spl28_12
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f1709,f66]) ).
fof(f1709,plain,
( sP7(sk_c10)
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5
| ~ spl28_11
| ~ spl28_12
| ~ spl28_19 ),
inference(forward_demodulation,[],[f1708,f1134]) ).
fof(f1708,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5
| ~ spl28_11
| ~ spl28_12
| ~ spl28_19 ),
inference(backward_demodulation,[],[f1676,f1700]) ).
fof(f1700,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,X0)
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5
| ~ spl28_12 ),
inference(backward_demodulation,[],[f717,f1691]) ).
fof(f1691,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5 ),
inference(backward_demodulation,[],[f1686,f1690]) ).
fof(f1690,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5 ),
inference(forward_demodulation,[],[f1687,f954]) ).
fof(f954,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl28_1 ),
inference(backward_demodulation,[],[f710,f148]) ).
fof(f710,plain,
! [X0] : multiply(sF14,multiply(sk_c10,X0)) = X0,
inference(forward_demodulation,[],[f472,f1]) ).
fof(f472,plain,
! [X0] : multiply(identity,X0) = multiply(sF14,multiply(sk_c10,X0)),
inference(superposition,[],[f3,f291]) ).
fof(f1687,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl28_1
| ~ spl28_4
| ~ spl28_5 ),
inference(backward_demodulation,[],[f304,f1685]) ).
fof(f1685,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c9,X0)
| ~ spl28_1
| ~ spl28_5 ),
inference(forward_demodulation,[],[f1684,f1]) ).
fof(f1684,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl28_1
| ~ spl28_5 ),
inference(superposition,[],[f3,f1681]) ).
fof(f1681,plain,
( sk_c5 = multiply(sk_c9,identity)
| ~ spl28_1
| ~ spl28_5 ),
inference(superposition,[],[f954,f1657]) ).
fof(f1657,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl28_5 ),
inference(forward_demodulation,[],[f1186,f167]) ).
fof(f167,plain,
( sk_c10 = sF17
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl28_5
<=> sk_c10 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f1186,plain,
identity = multiply(sF17,sk_c5),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
inverse(sk_c5) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl28_4 ),
inference(superposition,[],[f3,f288]) ).
fof(f288,plain,
( sk_c9 = multiply(sk_c5,sk_c10)
| ~ spl28_4 ),
inference(backward_demodulation,[],[f80,f162]) ).
fof(f162,plain,
( sk_c9 = sF16
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl28_4
<=> sk_c9 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f80,plain,
multiply(sk_c5,sk_c10) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1686,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl28_1
| ~ spl28_5 ),
inference(backward_demodulation,[],[f1669,f1685]) ).
fof(f1669,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl28_5 ),
inference(forward_demodulation,[],[f1668,f1]) ).
fof(f1668,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl28_5 ),
inference(superposition,[],[f3,f1657]) ).
fof(f1656,plain,
( ~ spl28_11
| ~ spl28_12
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f1655]) ).
fof(f1655,plain,
( $false
| ~ spl28_11
| ~ spl28_12
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f1654,f69]) ).
fof(f69,plain,
~ sP10(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1654,plain,
( sP10(sk_c11)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_17 ),
inference(backward_demodulation,[],[f1643,f718]) ).
fof(f1643,plain,
( sP10(multiply(sk_c1,sk_c10))
| ~ spl28_11
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f1628,f70]) ).
fof(f70,plain,
~ sP11(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1628,plain,
( sP11(sk_c11)
| sP10(multiply(sk_c1,sk_c10))
| ~ spl28_11
| ~ spl28_17 ),
inference(superposition,[],[f265,f720]) ).
fof(f265,plain,
( ! [X3] :
( sP11(inverse(X3))
| sP10(multiply(X3,sk_c10)) )
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl28_17
<=> ! [X3] :
( sP10(multiply(X3,sk_c10))
| sP11(inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f1170,plain,
( ~ spl28_1
| ~ spl28_2
| ~ spl28_6
| spl28_7
| ~ spl28_11
| ~ spl28_12 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| ~ spl28_1
| ~ spl28_2
| ~ spl28_6
| spl28_7
| ~ spl28_11
| ~ spl28_12 ),
inference(subsumption_resolution,[],[f1168,f176]) ).
fof(f176,plain,
( sk_c11 != sF19
| spl28_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl28_7
<=> sk_c11 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f1168,plain,
( sk_c11 = sF19
| ~ spl28_1
| ~ spl28_2
| ~ spl28_6
| ~ spl28_11
| ~ spl28_12 ),
inference(forward_demodulation,[],[f1159,f86]) ).
fof(f86,plain,
multiply(sk_c6,sk_c10) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f1159,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_6
| ~ spl28_11
| ~ spl28_12 ),
inference(backward_demodulation,[],[f718,f1157]) ).
fof(f1157,plain,
( sk_c6 = sk_c1
| ~ spl28_1
| ~ spl28_2
| ~ spl28_6
| ~ spl28_11 ),
inference(forward_demodulation,[],[f1155,f954]) ).
fof(f1155,plain,
( sk_c1 = multiply(sk_c9,multiply(sk_c10,sk_c6))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_6
| ~ spl28_11 ),
inference(superposition,[],[f954,f1151]) ).
fof(f1151,plain,
( multiply(sk_c10,sk_c6) = multiply(sk_c10,sk_c1)
| ~ spl28_2
| ~ spl28_6
| ~ spl28_11 ),
inference(forward_demodulation,[],[f1148,f324]) ).
fof(f324,plain,
( multiply(sk_c4,identity) = multiply(sk_c10,sk_c6)
| ~ spl28_2
| ~ spl28_6 ),
inference(superposition,[],[f302,f294]) ).
fof(f294,plain,
( identity = multiply(sk_c11,sk_c6)
| ~ spl28_6 ),
inference(superposition,[],[f2,f286]) ).
fof(f286,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl28_6 ),
inference(backward_demodulation,[],[f84,f172]) ).
fof(f172,plain,
( sk_c11 = sF18
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl28_6
<=> sk_c11 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
fof(f84,plain,
inverse(sk_c6) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl28_2 ),
inference(superposition,[],[f3,f290]) ).
fof(f290,plain,
( sk_c10 = multiply(sk_c4,sk_c11)
| ~ spl28_2 ),
inference(backward_demodulation,[],[f75,f152]) ).
fof(f152,plain,
( sk_c10 = sF13
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl28_2
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f75,plain,
multiply(sk_c4,sk_c11) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1148,plain,
( multiply(sk_c4,identity) = multiply(sk_c10,sk_c1)
| ~ spl28_2
| ~ spl28_11 ),
inference(superposition,[],[f302,f719]) ).
fof(f1069,plain,
( ~ spl28_12
| ~ spl28_48 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| ~ spl28_12
| ~ spl28_48 ),
inference(subsumption_resolution,[],[f1067,f61]) ).
fof(f61,plain,
~ sP2(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1067,plain,
( sP2(sk_c11)
| ~ spl28_12
| ~ spl28_48 ),
inference(forward_demodulation,[],[f694,f210]) ).
fof(f694,plain,
( sP2(sF24)
| ~ spl28_48 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl28_48
<=> sP2(sF24) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_48])]) ).
fof(f1066,plain,
( ~ spl28_12
| ~ spl28_51 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1065,plain,
( $false
| ~ spl28_12
| ~ spl28_51 ),
inference(subsumption_resolution,[],[f1064,f61]) ).
fof(f1064,plain,
( sP2(sk_c11)
| ~ spl28_12
| ~ spl28_51 ),
inference(forward_demodulation,[],[f708,f718]) ).
fof(f708,plain,
( sP2(multiply(sk_c1,sk_c10))
| ~ spl28_51 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl28_51
<=> sP2(multiply(sk_c1,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_51])]) ).
fof(f1063,plain,
( ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f1061,f68]) ).
fof(f68,plain,
~ sP9(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1061,plain,
( sP9(sk_c10)
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1060,f716]) ).
fof(f1060,plain,
( sP9(multiply(sk_c2,sk_c3))
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f1059,f67]) ).
fof(f67,plain,
~ sP8(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1059,plain,
( sP8(sk_c10)
| sP9(multiply(sk_c2,sk_c3))
| ~ spl28_14
| ~ spl28_15
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1020,f712]) ).
fof(f1020,plain,
( sP8(multiply(sk_c3,sk_c9))
| sP9(multiply(sk_c2,sk_c3))
| ~ spl28_14
| ~ spl28_18 ),
inference(superposition,[],[f268,f714]) ).
fof(f714,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl28_14 ),
inference(backward_demodulation,[],[f124,f236]) ).
fof(f268,plain,
( ! [X4] :
( sP8(multiply(inverse(X4),sk_c9))
| sP9(multiply(X4,inverse(X4))) )
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl28_18
<=> ! [X4] :
( sP8(multiply(inverse(X4),sk_c9))
| sP9(multiply(X4,inverse(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_18])]) ).
fof(f1053,plain,
( ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f1051,f68]) ).
fof(f1051,plain,
( sP9(sk_c10)
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1050,f284]) ).
fof(f284,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl28_8 ),
inference(backward_demodulation,[],[f88,f182]) ).
fof(f182,plain,
( sk_c10 = sF20
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl28_8
<=> sk_c10 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
fof(f88,plain,
multiply(sk_c7,sk_c8) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1050,plain,
( sP9(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(subsumption_resolution,[],[f1049,f67]) ).
fof(f1049,plain,
( sP8(sk_c10)
| sP9(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_10
| ~ spl28_18 ),
inference(forward_demodulation,[],[f1018,f282]) ).
fof(f282,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl28_10 ),
inference(backward_demodulation,[],[f92,f192]) ).
fof(f192,plain,
( sk_c10 = sF22
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl28_10
<=> sk_c10 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f92,plain,
multiply(sk_c8,sk_c9) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f1018,plain,
( sP8(multiply(sk_c8,sk_c9))
| sP9(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_18 ),
inference(superposition,[],[f268,f283]) ).
fof(f283,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl28_9 ),
inference(backward_demodulation,[],[f90,f187]) ).
fof(f187,plain,
( sk_c8 = sF21
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl28_9
<=> sk_c8 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f90,plain,
inverse(sk_c7) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f999,plain,
( ~ spl28_4
| ~ spl28_5
| ~ spl28_20 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl28_4
| ~ spl28_5
| ~ spl28_20 ),
inference(subsumption_resolution,[],[f997,f64]) ).
fof(f997,plain,
( sP5(sk_c9)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_20 ),
inference(forward_demodulation,[],[f996,f288]) ).
fof(f996,plain,
( sP5(multiply(sk_c5,sk_c10))
| ~ spl28_5
| ~ spl28_20 ),
inference(subsumption_resolution,[],[f982,f63]) ).
fof(f982,plain,
( sP4(sk_c10)
| sP5(multiply(sk_c5,sk_c10))
| ~ spl28_5
| ~ spl28_20 ),
inference(superposition,[],[f274,f909]) ).
fof(f909,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl28_5 ),
inference(backward_demodulation,[],[f82,f167]) ).
fof(f274,plain,
( ! [X7] :
( sP4(inverse(X7))
| sP5(multiply(X7,sk_c10)) )
| ~ spl28_20 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl28_20
<=> ! [X7] :
( sP4(inverse(X7))
| sP5(multiply(X7,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
fof(f960,plain,
( ~ spl28_16
| ~ spl28_1 ),
inference(avatar_split_clause,[],[f956,f146,f260]) ).
fof(f260,plain,
( spl28_16
<=> sP12(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f956,plain,
( ~ sP12(sk_c9)
| ~ spl28_1 ),
inference(backward_demodulation,[],[f144,f148]) ).
fof(f144,plain,
~ sP12(sF14),
inference(definition_folding,[],[f71,f76]) ).
fof(f71,plain,
~ sP12(inverse(sk_c10)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).
fof(f953,plain,
( ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f952,plain,
( $false
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f951,f60]) ).
fof(f60,plain,
~ sP1(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f951,plain,
( sP1(sk_c10)
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f950,f716]) ).
fof(f950,plain,
( sP1(multiply(sk_c2,sk_c3))
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f949,f59]) ).
fof(f59,plain,
~ sP0(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f949,plain,
( sP0(sk_c10)
| sP1(multiply(sk_c2,sk_c3))
| ~ spl28_14
| ~ spl28_15
| ~ spl28_22 ),
inference(forward_demodulation,[],[f931,f712]) ).
fof(f931,plain,
( sP0(multiply(sk_c3,sk_c9))
| sP1(multiply(sk_c2,sk_c3))
| ~ spl28_14
| ~ spl28_22 ),
inference(superposition,[],[f280,f714]) ).
fof(f280,plain,
( ! [X9] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9))) )
| ~ spl28_22 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl28_22
<=> ! [X9] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
fof(f948,plain,
( ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f947,plain,
( $false
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f946,f60]) ).
fof(f946,plain,
( sP1(sk_c10)
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(forward_demodulation,[],[f945,f284]) ).
fof(f945,plain,
( sP1(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(subsumption_resolution,[],[f944,f59]) ).
fof(f944,plain,
( sP0(sk_c10)
| sP1(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_10
| ~ spl28_22 ),
inference(forward_demodulation,[],[f929,f282]) ).
fof(f929,plain,
( sP0(multiply(sk_c8,sk_c9))
| sP1(multiply(sk_c7,sk_c8))
| ~ spl28_9
| ~ spl28_22 ),
inference(superposition,[],[f280,f283]) ).
fof(f894,plain,
( ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f893,plain,
( $false
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f892,f69]) ).
fof(f892,plain,
( sP10(sk_c11)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(forward_demodulation,[],[f891,f330]) ).
fof(f330,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f315,f290]) ).
fof(f315,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
| ~ spl28_3 ),
inference(forward_demodulation,[],[f303,f1]) ).
fof(f303,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c4,X0))
| ~ spl28_3 ),
inference(superposition,[],[f3,f292]) ).
fof(f292,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl28_3 ),
inference(superposition,[],[f2,f289]) ).
fof(f289,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl28_3 ),
inference(backward_demodulation,[],[f78,f157]) ).
fof(f157,plain,
( sk_c11 = sF15
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl28_3
<=> sk_c11 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_3])]) ).
fof(f78,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f891,plain,
( sP10(multiply(sk_c11,sk_c10))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f884,f70]) ).
fof(f884,plain,
( sP11(sk_c11)
| sP10(multiply(sk_c11,sk_c10))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(superposition,[],[f265,f808]) ).
fof(f808,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f289,f807]) ).
fof(f807,plain,
( sk_c4 = sk_c11
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f804,f330]) ).
fof(f804,plain,
( sk_c4 = multiply(sk_c11,sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f775,f798]) ).
fof(f798,plain,
( identity = sk_c10
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f797,f752]) ).
fof(f752,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f389,f751]) ).
fof(f751,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f747,f389]) ).
fof(f747,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f319,f741]) ).
fof(f741,plain,
( sk_c10 = sk_c8
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f736,f386]) ).
fof(f386,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl28_8
| ~ spl28_9 ),
inference(superposition,[],[f319,f284]) ).
fof(f736,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_10 ),
inference(backward_demodulation,[],[f282,f726]) ).
fof(f726,plain,
( sk_c10 = sk_c9
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(backward_demodulation,[],[f349,f725]) ).
fof(f725,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(forward_demodulation,[],[f721,f350]) ).
fof(f350,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(superposition,[],[f3,f349]) ).
fof(f721,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl28_1 ),
inference(backward_demodulation,[],[f710,f148]) ).
fof(f349,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(forward_demodulation,[],[f347,f288]) ).
fof(f347,plain,
( multiply(sk_c5,sk_c10) = multiply(sk_c9,sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(superposition,[],[f304,f345]) ).
fof(f345,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl28_2
| ~ spl28_3 ),
inference(forward_demodulation,[],[f343,f290]) ).
fof(f343,plain,
( multiply(sk_c4,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f302,f330]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl28_9 ),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f318,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl28_9 ),
inference(superposition,[],[f3,f295]) ).
fof(f295,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl28_9 ),
inference(superposition,[],[f2,f283]) ).
fof(f389,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl28_8
| ~ spl28_9 ),
inference(superposition,[],[f306,f319]) ).
fof(f306,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl28_8 ),
inference(superposition,[],[f3,f284]) ).
fof(f797,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4 ),
inference(forward_demodulation,[],[f722,f726]) ).
fof(f722,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl28_1 ),
inference(backward_demodulation,[],[f291,f148]) ).
fof(f775,plain,
( sk_c4 = multiply(sk_c11,identity)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f761,f767]) ).
fof(f767,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f759,f754]) ).
fof(f754,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,X0)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f305,f752]) ).
fof(f305,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl28_7 ),
inference(superposition,[],[f3,f285]) ).
fof(f285,plain,
( sk_c11 = multiply(sk_c6,sk_c10)
| ~ spl28_7 ),
inference(backward_demodulation,[],[f86,f177]) ).
fof(f177,plain,
( sk_c11 = sF19
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f759,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,X0)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f352,f752]) ).
fof(f352,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,multiply(sk_c6,X0))
| ~ spl28_2
| ~ spl28_6 ),
inference(superposition,[],[f302,f317]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
| ~ spl28_6 ),
inference(forward_demodulation,[],[f316,f1]) ).
fof(f316,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
| ~ spl28_6 ),
inference(superposition,[],[f3,f294]) ).
fof(f761,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f323,f752]) ).
fof(f323,plain,
( multiply(sk_c10,sk_c4) = multiply(sk_c4,identity)
| ~ spl28_2
| ~ spl28_3 ),
inference(superposition,[],[f302,f292]) ).
fof(f878,plain,
( ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f876,f66]) ).
fof(f876,plain,
( sP7(sk_c10)
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(forward_demodulation,[],[f875,f351]) ).
fof(f351,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl28_6
| ~ spl28_7 ),
inference(superposition,[],[f317,f285]) ).
fof(f875,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f868,f65]) ).
fof(f868,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl28_1
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(superposition,[],[f271,f808]) ).
fof(f815,plain,
( ~ spl28_11
| ~ spl28_47 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f814,plain,
( $false
| ~ spl28_11
| ~ spl28_47 ),
inference(subsumption_resolution,[],[f813,f62]) ).
fof(f62,plain,
~ sP3(sk_c11),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f813,plain,
( sP3(sk_c11)
| ~ spl28_11
| ~ spl28_47 ),
inference(forward_demodulation,[],[f690,f197]) ).
fof(f690,plain,
( sP3(sF23)
| ~ spl28_47 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl28_47
<=> sP3(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_47])]) ).
fof(f709,plain,
( spl28_51
| spl28_47
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f669,f276,f688,f706]) ).
fof(f276,plain,
( spl28_21
<=> ! [X8] :
( sP2(multiply(X8,sk_c10))
| sP3(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f669,plain,
( sP3(sF23)
| sP2(multiply(sk_c1,sk_c10))
| ~ spl28_21 ),
inference(superposition,[],[f277,f94]) ).
fof(f277,plain,
( ! [X8] :
( sP3(inverse(X8))
| sP2(multiply(X8,sk_c10)) )
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f695,plain,
( spl28_47
| spl28_48
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(avatar_split_clause,[],[f686,f276,f190,f185,f180,f165,f160,f692,f688]) ).
fof(f686,plain,
( sP2(sF24)
| sP3(sF23)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(forward_demodulation,[],[f685,f428]) ).
fof(f428,plain,
( sF24 = multiply(sF24,sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f104,f408]) ).
fof(f408,plain,
( ! [X0] : multiply(sF24,X0) = multiply(sk_c1,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f308,f404]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f399,f403]) ).
fof(f403,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f389,f399]) ).
fof(f399,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f319,f391]) ).
fof(f391,plain,
( sk_c10 = sk_c8
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f388,f386]) ).
fof(f388,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(superposition,[],[f319,f370]) ).
fof(f370,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_10 ),
inference(forward_demodulation,[],[f367,f320]) ).
fof(f320,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl28_4
| ~ spl28_5 ),
inference(superposition,[],[f314,f288]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl28_5 ),
inference(forward_demodulation,[],[f301,f1]) ).
fof(f301,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0))
| ~ spl28_5 ),
inference(superposition,[],[f3,f293]) ).
fof(f293,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl28_5 ),
inference(superposition,[],[f2,f287]) ).
fof(f287,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl28_5 ),
inference(backward_demodulation,[],[f82,f167]) ).
fof(f367,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c7,sk_c10)
| ~ spl28_8
| ~ spl28_10 ),
inference(superposition,[],[f306,f282]) ).
fof(f685,plain,
( sP2(multiply(sF24,sk_c10))
| sP3(sF23)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(forward_demodulation,[],[f669,f408]) ).
fof(f684,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(subsumption_resolution,[],[f682,f61]) ).
fof(f682,plain,
( sP2(sk_c11)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(forward_demodulation,[],[f681,f330]) ).
fof(f681,plain,
( sP2(multiply(sk_c11,sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(subsumption_resolution,[],[f668,f62]) ).
fof(f668,plain,
( sP3(sk_c11)
| sP2(multiply(sk_c11,sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_21 ),
inference(superposition,[],[f277,f492]) ).
fof(f492,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f289,f491]) ).
fof(f491,plain,
( sk_c4 = sk_c11
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f484,f330]) ).
fof(f484,plain,
( sk_c4 = multiply(sk_c11,sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f453,f475]) ).
fof(f475,plain,
( identity = sk_c10
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f291,f474]) ).
fof(f474,plain,
( ! [X0] : multiply(sF14,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f473,f1]) ).
fof(f473,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF14,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f472,f404]) ).
fof(f453,plain,
( sk_c4 = multiply(sk_c11,identity)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f416,f445]) ).
fof(f445,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,X0)
| ~ spl28_2
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f413,f424]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c6,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f420,f375]) ).
fof(f375,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c9,X0))
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f3,f364]) ).
fof(f364,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7 ),
inference(forward_demodulation,[],[f359,f285]) ).
fof(f359,plain,
( multiply(sk_c6,sk_c10) = multiply(sk_c11,sk_c9)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f305,f320]) ).
fof(f420,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c11,multiply(sk_c9,X0))
| ~ spl28_4
| ~ spl28_5
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f357,f406]) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c9,X0)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f304,f404]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c11,multiply(sk_c5,X0))
| ~ spl28_5
| ~ spl28_7 ),
inference(superposition,[],[f305,f314]) ).
fof(f413,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,X0)
| ~ spl28_2
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f352,f404]) ).
fof(f416,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f323,f404]) ).
fof(f666,plain,
( spl28_43
| spl28_44
| ~ spl28_20 ),
inference(avatar_split_clause,[],[f632,f273,f663,f659]) ).
fof(f632,plain,
( sP4(sF26)
| sP5(multiply(sk_c2,sk_c10))
| ~ spl28_20 ),
inference(superposition,[],[f274,f124]) ).
fof(f609,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f607,f66]) ).
fof(f607,plain,
( sP7(sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(forward_demodulation,[],[f606,f351]) ).
fof(f606,plain,
( sP7(multiply(sk_c11,sk_c11))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(subsumption_resolution,[],[f593,f65]) ).
fof(f593,plain,
( sP6(sk_c11)
| sP7(multiply(sk_c11,sk_c11))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_19 ),
inference(superposition,[],[f271,f492]) ).
fof(f524,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f523,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f522,f69]) ).
fof(f522,plain,
( sP10(sk_c11)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(forward_demodulation,[],[f521,f330]) ).
fof(f521,plain,
( sP10(multiply(sk_c11,sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(subsumption_resolution,[],[f508,f70]) ).
fof(f508,plain,
( sP11(sk_c11)
| sP10(multiply(sk_c11,sk_c10))
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_17 ),
inference(superposition,[],[f265,f492]) ).
fof(f490,plain,
( ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_16 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_16 ),
inference(subsumption_resolution,[],[f487,f441]) ).
fof(f441,plain,
( sP12(sk_c10)
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10
| ~ spl28_16 ),
inference(backward_demodulation,[],[f262,f434]) ).
fof(f434,plain,
( sk_c10 = sk_c9
| ~ spl28_2
| ~ spl28_3
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f349,f429]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f409,f404]) ).
fof(f409,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f329,f404]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl28_4
| ~ spl28_5 ),
inference(superposition,[],[f3,f320]) ).
fof(f262,plain,
( sP12(sk_c9)
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f487,plain,
( ~ sP12(sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f144,f485]) ).
fof(f485,plain,
( sk_c10 = sF14
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f483,f76]) ).
fof(f483,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f436,f475]) ).
fof(f436,plain,
( sk_c10 = inverse(identity)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f287,f435]) ).
fof(f435,plain,
( identity = sk_c5
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(forward_demodulation,[],[f433,f429]) ).
fof(f433,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f422,f429]) ).
fof(f422,plain,
( multiply(sk_c9,sk_c5) = multiply(sk_c9,identity)
| ~ spl28_4
| ~ spl28_5
| ~ spl28_8
| ~ spl28_9
| ~ spl28_10 ),
inference(backward_demodulation,[],[f335,f406]) ).
fof(f335,plain,
( multiply(sk_c9,sk_c5) = multiply(sk_c5,identity)
| ~ spl28_4
| ~ spl28_5 ),
inference(superposition,[],[f304,f293]) ).
fof(f281,plain,
( spl28_16
| spl28_17
| spl28_18
| spl28_19
| spl28_20
| spl28_21
| spl28_22 ),
inference(avatar_split_clause,[],[f74,f279,f276,f273,f270,f267,f264,f260]) ).
fof(f74,plain,
! [X3,X8,X6,X9,X7,X4] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9)))
| sP2(multiply(X8,sk_c10))
| sP3(inverse(X8))
| sP4(inverse(X7))
| sP5(multiply(X7,sk_c10))
| sP6(inverse(X6))
| sP7(multiply(X6,sk_c11))
| sP8(multiply(inverse(X4),sk_c9))
| sP9(multiply(X4,inverse(X4)))
| sP10(multiply(X3,sk_c10))
| sP11(inverse(X3))
| sP12(sk_c9) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sP0(multiply(inverse(X9),sk_c9))
| sP1(multiply(X9,inverse(X9)))
| sP2(multiply(X8,sk_c10))
| sP3(inverse(X8))
| sP4(inverse(X7))
| sP5(multiply(X7,sk_c10))
| sP6(inverse(X6))
| sP7(multiply(X6,sk_c11))
| sP8(multiply(X5,sk_c9))
| inverse(X4) != X5
| sP9(multiply(X4,X5))
| sP10(multiply(X3,sk_c10))
| sP11(inverse(X3))
| sP12(sk_c9) ),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sP0(multiply(X10,sk_c9))
| inverse(X9) != X10
| sP1(multiply(X9,X10))
| sP2(multiply(X8,sk_c10))
| sP3(inverse(X8))
| sP4(inverse(X7))
| sP5(multiply(X7,sk_c10))
| sP6(inverse(X6))
| sP7(multiply(X6,sk_c11))
| sP8(multiply(X5,sk_c9))
| inverse(X4) != X5
| sP9(multiply(X4,X5))
| sP10(multiply(X3,sk_c10))
| sP11(inverse(X3))
| sP12(sk_c9) ),
inference(inequality_splitting,[],[f58,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f58,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X10,sk_c9)
| inverse(X9) != X10
| sk_c10 != multiply(X9,X10)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(X7,sk_c10)
| sk_c11 != inverse(X6)
| sk_c10 != multiply(X6,sk_c11)
| sk_c10 != multiply(X5,sk_c9)
| inverse(X4) != X5
| sk_c10 != multiply(X4,X5)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != inverse(X3)
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_55) ).
fof(f258,plain,
( spl28_15
| spl28_10 ),
inference(avatar_split_clause,[],[f143,f190,f247]) ).
fof(f143,plain,
( sk_c10 = sF22
| sk_c10 = sF27 ),
inference(definition_folding,[],[f57,f134,f92]) ).
fof(f57,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_54) ).
fof(f257,plain,
( spl28_15
| spl28_9 ),
inference(avatar_split_clause,[],[f142,f185,f247]) ).
fof(f142,plain,
( sk_c8 = sF21
| sk_c10 = sF27 ),
inference(definition_folding,[],[f56,f134,f90]) ).
fof(f56,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_53) ).
fof(f256,plain,
( spl28_15
| spl28_8 ),
inference(avatar_split_clause,[],[f141,f180,f247]) ).
fof(f141,plain,
( sk_c10 = sF20
| sk_c10 = sF27 ),
inference(definition_folding,[],[f55,f134,f88]) ).
fof(f55,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_52) ).
fof(f254,plain,
( spl28_15
| spl28_6 ),
inference(avatar_split_clause,[],[f139,f170,f247]) ).
fof(f139,plain,
( sk_c11 = sF18
| sk_c10 = sF27 ),
inference(definition_folding,[],[f53,f134,f84]) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_50) ).
fof(f253,plain,
( spl28_15
| spl28_5 ),
inference(avatar_split_clause,[],[f138,f165,f247]) ).
fof(f138,plain,
( sk_c10 = sF17
| sk_c10 = sF27 ),
inference(definition_folding,[],[f52,f134,f82]) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_49) ).
fof(f252,plain,
( spl28_15
| spl28_4 ),
inference(avatar_split_clause,[],[f137,f160,f247]) ).
fof(f137,plain,
( sk_c9 = sF16
| sk_c10 = sF27 ),
inference(definition_folding,[],[f51,f134,f80]) ).
fof(f51,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_48) ).
fof(f245,plain,
( spl28_14
| spl28_10 ),
inference(avatar_split_clause,[],[f133,f190,f234]) ).
fof(f133,plain,
( sk_c10 = sF22
| sk_c3 = sF26 ),
inference(definition_folding,[],[f48,f124,f92]) ).
fof(f48,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_45) ).
fof(f244,plain,
( spl28_14
| spl28_9 ),
inference(avatar_split_clause,[],[f132,f185,f234]) ).
fof(f132,plain,
( sk_c8 = sF21
| sk_c3 = sF26 ),
inference(definition_folding,[],[f47,f124,f90]) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_44) ).
fof(f243,plain,
( spl28_14
| spl28_8 ),
inference(avatar_split_clause,[],[f131,f180,f234]) ).
fof(f131,plain,
( sk_c10 = sF20
| sk_c3 = sF26 ),
inference(definition_folding,[],[f46,f124,f88]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_43) ).
fof(f241,plain,
( spl28_14
| spl28_6 ),
inference(avatar_split_clause,[],[f129,f170,f234]) ).
fof(f129,plain,
( sk_c11 = sF18
| sk_c3 = sF26 ),
inference(definition_folding,[],[f44,f124,f84]) ).
fof(f44,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_41) ).
fof(f240,plain,
( spl28_14
| spl28_5 ),
inference(avatar_split_clause,[],[f128,f165,f234]) ).
fof(f128,plain,
( sk_c10 = sF17
| sk_c3 = sF26 ),
inference(definition_folding,[],[f43,f124,f82]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_40) ).
fof(f239,plain,
( spl28_14
| spl28_4 ),
inference(avatar_split_clause,[],[f127,f160,f234]) ).
fof(f127,plain,
( sk_c9 = sF16
| sk_c3 = sF26 ),
inference(definition_folding,[],[f42,f124,f80]) ).
fof(f42,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_39) ).
fof(f232,plain,
( spl28_13
| spl28_10 ),
inference(avatar_split_clause,[],[f123,f190,f221]) ).
fof(f123,plain,
( sk_c10 = sF22
| sk_c10 = sF25 ),
inference(definition_folding,[],[f39,f114,f92]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_36) ).
fof(f231,plain,
( spl28_13
| spl28_9 ),
inference(avatar_split_clause,[],[f122,f185,f221]) ).
fof(f122,plain,
( sk_c8 = sF21
| sk_c10 = sF25 ),
inference(definition_folding,[],[f38,f114,f90]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_35) ).
fof(f230,plain,
( spl28_13
| spl28_8 ),
inference(avatar_split_clause,[],[f121,f180,f221]) ).
fof(f121,plain,
( sk_c10 = sF20
| sk_c10 = sF25 ),
inference(definition_folding,[],[f37,f114,f88]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_34) ).
fof(f228,plain,
( spl28_13
| spl28_6 ),
inference(avatar_split_clause,[],[f119,f170,f221]) ).
fof(f119,plain,
( sk_c11 = sF18
| sk_c10 = sF25 ),
inference(definition_folding,[],[f35,f114,f84]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_32) ).
fof(f227,plain,
( spl28_13
| spl28_5 ),
inference(avatar_split_clause,[],[f118,f165,f221]) ).
fof(f118,plain,
( sk_c10 = sF17
| sk_c10 = sF25 ),
inference(definition_folding,[],[f34,f114,f82]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_31) ).
fof(f226,plain,
( spl28_13
| spl28_4 ),
inference(avatar_split_clause,[],[f117,f160,f221]) ).
fof(f117,plain,
( sk_c9 = sF16
| sk_c10 = sF25 ),
inference(definition_folding,[],[f33,f114,f80]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_30) ).
fof(f219,plain,
( spl28_12
| spl28_10 ),
inference(avatar_split_clause,[],[f113,f190,f208]) ).
fof(f113,plain,
( sk_c10 = sF22
| sk_c11 = sF24 ),
inference(definition_folding,[],[f30,f104,f92]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_27) ).
fof(f218,plain,
( spl28_12
| spl28_9 ),
inference(avatar_split_clause,[],[f112,f185,f208]) ).
fof(f112,plain,
( sk_c8 = sF21
| sk_c11 = sF24 ),
inference(definition_folding,[],[f29,f104,f90]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_26) ).
fof(f217,plain,
( spl28_12
| spl28_8 ),
inference(avatar_split_clause,[],[f111,f180,f208]) ).
fof(f111,plain,
( sk_c10 = sF20
| sk_c11 = sF24 ),
inference(definition_folding,[],[f28,f104,f88]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_25) ).
fof(f216,plain,
( spl28_12
| spl28_7 ),
inference(avatar_split_clause,[],[f110,f175,f208]) ).
fof(f110,plain,
( sk_c11 = sF19
| sk_c11 = sF24 ),
inference(definition_folding,[],[f27,f104,f86]) ).
fof(f27,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_24) ).
fof(f215,plain,
( spl28_12
| spl28_6 ),
inference(avatar_split_clause,[],[f109,f170,f208]) ).
fof(f109,plain,
( sk_c11 = sF18
| sk_c11 = sF24 ),
inference(definition_folding,[],[f26,f104,f84]) ).
fof(f26,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_23) ).
fof(f214,plain,
( spl28_12
| spl28_5 ),
inference(avatar_split_clause,[],[f108,f165,f208]) ).
fof(f108,plain,
( sk_c10 = sF17
| sk_c11 = sF24 ),
inference(definition_folding,[],[f25,f104,f82]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_22) ).
fof(f213,plain,
( spl28_12
| spl28_4 ),
inference(avatar_split_clause,[],[f107,f160,f208]) ).
fof(f107,plain,
( sk_c9 = sF16
| sk_c11 = sF24 ),
inference(definition_folding,[],[f24,f104,f80]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_21) ).
fof(f212,plain,
( spl28_12
| spl28_3 ),
inference(avatar_split_clause,[],[f106,f155,f208]) ).
fof(f106,plain,
( sk_c11 = sF15
| sk_c11 = sF24 ),
inference(definition_folding,[],[f23,f104,f78]) ).
fof(f23,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_20) ).
fof(f211,plain,
( spl28_12
| spl28_2 ),
inference(avatar_split_clause,[],[f105,f150,f208]) ).
fof(f105,plain,
( sk_c10 = sF13
| sk_c11 = sF24 ),
inference(definition_folding,[],[f22,f104,f75]) ).
fof(f22,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_19) ).
fof(f206,plain,
( spl28_11
| spl28_10 ),
inference(avatar_split_clause,[],[f103,f190,f195]) ).
fof(f103,plain,
( sk_c10 = sF22
| sk_c11 = sF23 ),
inference(definition_folding,[],[f21,f94,f92]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_18) ).
fof(f205,plain,
( spl28_11
| spl28_9 ),
inference(avatar_split_clause,[],[f102,f185,f195]) ).
fof(f102,plain,
( sk_c8 = sF21
| sk_c11 = sF23 ),
inference(definition_folding,[],[f20,f94,f90]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_17) ).
fof(f204,plain,
( spl28_11
| spl28_8 ),
inference(avatar_split_clause,[],[f101,f180,f195]) ).
fof(f101,plain,
( sk_c10 = sF20
| sk_c11 = sF23 ),
inference(definition_folding,[],[f19,f94,f88]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_16) ).
fof(f203,plain,
( spl28_11
| spl28_7 ),
inference(avatar_split_clause,[],[f100,f175,f195]) ).
fof(f100,plain,
( sk_c11 = sF19
| sk_c11 = sF23 ),
inference(definition_folding,[],[f18,f94,f86]) ).
fof(f18,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_15) ).
fof(f202,plain,
( spl28_11
| spl28_6 ),
inference(avatar_split_clause,[],[f99,f170,f195]) ).
fof(f99,plain,
( sk_c11 = sF18
| sk_c11 = sF23 ),
inference(definition_folding,[],[f17,f94,f84]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_14) ).
fof(f201,plain,
( spl28_11
| spl28_5 ),
inference(avatar_split_clause,[],[f98,f165,f195]) ).
fof(f98,plain,
( sk_c10 = sF17
| sk_c11 = sF23 ),
inference(definition_folding,[],[f16,f94,f82]) ).
fof(f16,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_13) ).
fof(f200,plain,
( spl28_11
| spl28_4 ),
inference(avatar_split_clause,[],[f97,f160,f195]) ).
fof(f97,plain,
( sk_c9 = sF16
| sk_c11 = sF23 ),
inference(definition_folding,[],[f15,f94,f80]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_12) ).
fof(f199,plain,
( spl28_11
| spl28_3 ),
inference(avatar_split_clause,[],[f96,f155,f195]) ).
fof(f96,plain,
( sk_c11 = sF15
| sk_c11 = sF23 ),
inference(definition_folding,[],[f14,f94,f78]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_11) ).
fof(f198,plain,
( spl28_11
| spl28_2 ),
inference(avatar_split_clause,[],[f95,f150,f195]) ).
fof(f95,plain,
( sk_c10 = sF13
| sk_c11 = sF23 ),
inference(definition_folding,[],[f13,f94,f75]) ).
fof(f13,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_10) ).
fof(f193,plain,
( spl28_1
| spl28_10 ),
inference(avatar_split_clause,[],[f93,f190,f146]) ).
fof(f93,plain,
( sk_c10 = sF22
| sk_c9 = sF14 ),
inference(definition_folding,[],[f12,f76,f92]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_9) ).
fof(f188,plain,
( spl28_1
| spl28_9 ),
inference(avatar_split_clause,[],[f91,f185,f146]) ).
fof(f91,plain,
( sk_c8 = sF21
| sk_c9 = sF14 ),
inference(definition_folding,[],[f11,f76,f90]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c7)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_8) ).
fof(f183,plain,
( spl28_1
| spl28_8 ),
inference(avatar_split_clause,[],[f89,f180,f146]) ).
fof(f89,plain,
( sk_c10 = sF20
| sk_c9 = sF14 ),
inference(definition_folding,[],[f10,f76,f88]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_7) ).
fof(f178,plain,
( spl28_1
| spl28_7 ),
inference(avatar_split_clause,[],[f87,f175,f146]) ).
fof(f87,plain,
( sk_c11 = sF19
| sk_c9 = sF14 ),
inference(definition_folding,[],[f9,f76,f86]) ).
fof(f9,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_6) ).
fof(f173,plain,
( spl28_1
| spl28_6 ),
inference(avatar_split_clause,[],[f85,f170,f146]) ).
fof(f85,plain,
( sk_c11 = sF18
| sk_c9 = sF14 ),
inference(definition_folding,[],[f8,f76,f84]) ).
fof(f8,axiom,
( sk_c11 = inverse(sk_c6)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_5) ).
fof(f168,plain,
( spl28_1
| spl28_5 ),
inference(avatar_split_clause,[],[f83,f165,f146]) ).
fof(f83,plain,
( sk_c10 = sF17
| sk_c9 = sF14 ),
inference(definition_folding,[],[f7,f76,f82]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c5)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_4) ).
fof(f163,plain,
( spl28_1
| spl28_4 ),
inference(avatar_split_clause,[],[f81,f160,f146]) ).
fof(f81,plain,
( sk_c9 = sF16
| sk_c9 = sF14 ),
inference(definition_folding,[],[f6,f76,f80]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_3) ).
fof(f158,plain,
( spl28_1
| spl28_3 ),
inference(avatar_split_clause,[],[f79,f155,f146]) ).
fof(f79,plain,
( sk_c11 = sF15
| sk_c9 = sF14 ),
inference(definition_folding,[],[f5,f76,f78]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_2) ).
fof(f153,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f77,f150,f146]) ).
fof(f77,plain,
( sk_c10 = sF13
| sk_c9 = sF14 ),
inference(definition_folding,[],[f4,f76,f75]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c4,sk_c11)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:44:38 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.iPTOgqrDth/Vampire---4.8_28033
% 0.58/0.74 % (28150)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)
% 0.58/0.74 % (28145)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (28143)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)
% 0.58/0.74 % (28147)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)
% 0.58/0.74 % (28146)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)
% 0.58/0.74 % (28144)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)
% 0.58/0.74 % (28148)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)
% 0.58/0.74 % (28149)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)
% 0.58/0.74 % (28150)Refutation not found, incomplete strategy% (28150)------------------------------
% 0.58/0.74 % (28150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (28150)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (28150)Memory used [KB]: 1087
% 0.58/0.74 % (28150)Time elapsed: 0.002 s
% 0.58/0.74 % (28150)Instructions burned: 5 (million)
% 0.58/0.74 % (28150)------------------------------
% 0.58/0.74 % (28150)------------------------------
% 0.58/0.75 % (28143)Refutation not found, incomplete strategy% (28143)------------------------------
% 0.58/0.75 % (28143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28143)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28143)Memory used [KB]: 1086
% 0.58/0.75 % (28143)Time elapsed: 0.004 s
% 0.58/0.75 % (28143)Instructions burned: 5 (million)
% 0.58/0.75 % (28146)Refutation not found, incomplete strategy% (28146)------------------------------
% 0.58/0.75 % (28146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28146)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28146)Memory used [KB]: 1018
% 0.58/0.75 % (28146)Time elapsed: 0.004 s
% 0.58/0.75 % (28146)Instructions burned: 5 (million)
% 0.58/0.75 % (28143)------------------------------
% 0.58/0.75 % (28143)------------------------------
% 0.58/0.75 % (28147)Refutation not found, incomplete strategy% (28147)------------------------------
% 0.58/0.75 % (28147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28147)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28147)Memory used [KB]: 1103
% 0.58/0.75 % (28147)Time elapsed: 0.004 s
% 0.58/0.75 % (28147)Instructions burned: 6 (million)
% 0.58/0.75 % (28146)------------------------------
% 0.58/0.75 % (28146)------------------------------
% 0.58/0.75 % (28147)------------------------------
% 0.58/0.75 % (28147)------------------------------
% 0.58/0.75 % (28145)Refutation not found, incomplete strategy% (28145)------------------------------
% 0.58/0.75 % (28145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28145)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28145)Memory used [KB]: 1093
% 0.58/0.75 % (28145)Time elapsed: 0.005 s
% 0.58/0.75 % (28145)Instructions burned: 7 (million)
% 0.58/0.75 % (28145)------------------------------
% 0.58/0.75 % (28145)------------------------------
% 0.58/0.75 % (28151)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)
% 0.58/0.75 % (28149)Refutation not found, incomplete strategy% (28149)------------------------------
% 0.58/0.75 % (28149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28149)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28149)Memory used [KB]: 1112
% 0.58/0.75 % (28149)Time elapsed: 0.006 s
% 0.58/0.75 % (28149)Instructions burned: 8 (million)
% 0.58/0.75 % (28149)------------------------------
% 0.58/0.75 % (28149)------------------------------
% 0.58/0.75 % (28151)Refutation not found, incomplete strategy% (28151)------------------------------
% 0.58/0.75 % (28151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28151)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28151)Memory used [KB]: 1093
% 0.58/0.75 % (28151)Time elapsed: 0.003 s
% 0.58/0.75 % (28151)Instructions burned: 7 (million)
% 0.58/0.75 % (28151)------------------------------
% 0.58/0.75 % (28151)------------------------------
% 0.58/0.75 % (28152)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)
% 0.58/0.75 % (28153)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)
% 0.58/0.75 % (28154)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)
% 0.58/0.75 % (28155)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)
% 0.58/0.75 % (28157)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)
% 0.58/0.75 % (28156)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)
% 0.58/0.75 % (28152)Refutation not found, incomplete strategy% (28152)------------------------------
% 0.58/0.75 % (28152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (28152)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (28152)Memory used [KB]: 1072
% 0.58/0.75 % (28152)Time elapsed: 0.005 s
% 0.58/0.76 % (28152)Instructions burned: 8 (million)
% 0.58/0.76 % (28154)Refutation not found, incomplete strategy% (28154)------------------------------
% 0.58/0.76 % (28154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (28154)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (28154)Memory used [KB]: 1091
% 0.58/0.76 % (28154)Time elapsed: 0.005 s
% 0.58/0.76 % (28154)Instructions burned: 7 (million)
% 0.58/0.76 % (28152)------------------------------
% 0.58/0.76 % (28152)------------------------------
% 0.58/0.76 % (28154)------------------------------
% 0.58/0.76 % (28154)------------------------------
% 0.58/0.76 % (28153)Refutation not found, incomplete strategy% (28153)------------------------------
% 0.58/0.76 % (28153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (28153)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (28153)Memory used [KB]: 1107
% 0.58/0.76 % (28153)Time elapsed: 0.007 s
% 0.58/0.76 % (28153)Instructions burned: 9 (million)
% 0.58/0.76 % (28156)Refutation not found, incomplete strategy% (28156)------------------------------
% 0.58/0.76 % (28156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (28156)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76 % (28153)------------------------------
% 0.58/0.76 % (28153)------------------------------
% 0.58/0.76
% 0.58/0.76 % (28156)Memory used [KB]: 1105
% 0.58/0.76 % (28156)Time elapsed: 0.004 s
% 0.58/0.76 % (28156)Instructions burned: 5 (million)
% 0.58/0.76 % (28156)------------------------------
% 0.58/0.76 % (28156)------------------------------
% 0.58/0.76 % (28157)Refutation not found, incomplete strategy% (28157)------------------------------
% 0.58/0.76 % (28157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (28157)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (28157)Memory used [KB]: 1168
% 0.58/0.76 % (28157)Time elapsed: 0.005 s
% 0.58/0.76 % (28157)Instructions burned: 15 (million)
% 0.66/0.76 % (28157)------------------------------
% 0.66/0.76 % (28157)------------------------------
% 0.66/0.76 % (28158)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)
% 0.66/0.76 % (28159)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)
% 0.66/0.76 % (28160)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)
% 0.66/0.76 % (28162)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)
% 0.66/0.76 % (28161)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)
% 0.66/0.76 % (28158)Refutation not found, incomplete strategy% (28158)------------------------------
% 0.66/0.76 % (28158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.76 % (28158)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.76
% 0.66/0.76 % (28158)Memory used [KB]: 1024
% 0.66/0.76 % (28158)Time elapsed: 0.005 s
% 0.66/0.76 % (28158)Instructions burned: 5 (million)
% 0.66/0.76 % (28158)------------------------------
% 0.66/0.76 % (28158)------------------------------
% 0.66/0.76 % (28159)Refutation not found, incomplete strategy% (28159)------------------------------
% 0.66/0.76 % (28159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.76 % (28159)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.76
% 0.66/0.76 % (28159)Memory used [KB]: 1088
% 0.66/0.76 % (28159)Time elapsed: 0.005 s
% 0.66/0.76 % (28159)Instructions burned: 5 (million)
% 0.66/0.76 % (28161)Refutation not found, incomplete strategy% (28161)------------------------------
% 0.66/0.76 % (28161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.76 % (28162)Refutation not found, incomplete strategy% (28162)------------------------------
% 0.66/0.76 % (28162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.76 % (28162)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.76
% 0.66/0.76 % (28162)Memory used [KB]: 1106
% 0.66/0.76 % (28162)Time elapsed: 0.003 s
% 0.66/0.76 % (28162)Instructions burned: 8 (million)
% 0.66/0.76 % (28159)------------------------------
% 0.66/0.76 % (28159)------------------------------
% 0.66/0.76 % (28161)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.76
% 0.66/0.76 % (28161)Memory used [KB]: 1023
% 0.66/0.76 % (28161)Time elapsed: 0.004 s
% 0.66/0.76 % (28161)Instructions burned: 4 (million)
% 0.66/0.76 % (28162)------------------------------
% 0.66/0.76 % (28162)------------------------------
% 0.66/0.76 % (28161)------------------------------
% 0.66/0.76 % (28161)------------------------------
% 0.66/0.77 % (28164)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)
% 0.66/0.77 % (28148)Instruction limit reached!
% 0.66/0.77 % (28148)------------------------------
% 0.66/0.77 % (28148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (28148)Termination reason: Unknown
% 0.66/0.77 % (28148)Termination phase: Saturation
% 0.66/0.77
% 0.66/0.77 % (28148)Memory used [KB]: 1652
% 0.66/0.77 % (28148)Time elapsed: 0.023 s
% 0.66/0.77 % (28148)Instructions burned: 46 (million)
% 0.66/0.77 % (28148)------------------------------
% 0.66/0.77 % (28148)------------------------------
% 0.66/0.77 % (28163)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)
% 0.66/0.77 % (28164)Refutation not found, incomplete strategy% (28164)------------------------------
% 0.66/0.77 % (28164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (28165)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)
% 0.66/0.77 % (28164)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.77
% 0.66/0.77 % (28164)Memory used [KB]: 1106
% 0.66/0.77 % (28164)Time elapsed: 0.002 s
% 0.66/0.77 % (28164)Instructions burned: 6 (million)
% 0.66/0.77 % (28164)------------------------------
% 0.66/0.77 % (28164)------------------------------
% 0.66/0.77 % (28166)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)
% 0.66/0.77 % (28168)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)
% 0.66/0.77 % (28167)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)
% 0.66/0.77 % (28166)Refutation not found, incomplete strategy% (28166)------------------------------
% 0.66/0.77 % (28166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (28166)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.77
% 0.66/0.77 % (28166)Memory used [KB]: 1106
% 0.66/0.77 % (28166)Time elapsed: 0.004 s
% 0.66/0.77 % (28166)Instructions burned: 5 (million)
% 0.66/0.77 % (28144)Instruction limit reached!
% 0.66/0.77 % (28144)------------------------------
% 0.66/0.77 % (28144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (28144)Termination reason: Unknown
% 0.66/0.77 % (28144)Termination phase: Saturation
% 0.66/0.77
% 0.66/0.77 % (28144)Memory used [KB]: 1816
% 0.66/0.77 % (28144)Time elapsed: 0.028 s
% 0.66/0.77 % (28144)Instructions burned: 51 (million)
% 0.66/0.77 % (28163)Refutation not found, incomplete strategy% (28163)------------------------------
% 0.66/0.77 % (28163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77 % (28163)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.77
% 0.66/0.77 % (28163)Memory used [KB]: 1094
% 0.66/0.77 % (28163)Time elapsed: 0.006 s
% 0.66/0.77 % (28163)Instructions burned: 7 (million)
% 0.66/0.77 % (28144)------------------------------
% 0.66/0.77 % (28144)------------------------------
% 0.66/0.77 % (28166)------------------------------
% 0.66/0.77 % (28166)------------------------------
% 0.66/0.77 % (28163)------------------------------
% 0.66/0.77 % (28163)------------------------------
% 0.66/0.77 % (28169)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)
% 0.66/0.77 % (28170)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)
% 0.66/0.77 % (28171)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.66/0.78 % (28171)Refutation not found, incomplete strategy% (28171)------------------------------
% 0.66/0.78 % (28171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.78 % (28171)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.78
% 0.66/0.78 % (28171)Memory used [KB]: 999
% 0.66/0.78 % (28171)Time elapsed: 0.004 s
% 0.66/0.78 % (28171)Instructions burned: 5 (million)
% 0.66/0.78 % (28171)------------------------------
% 0.66/0.78 % (28171)------------------------------
% 0.66/0.78 % (28168)Instruction limit reached!
% 0.66/0.78 % (28168)------------------------------
% 0.66/0.78 % (28168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.78 % (28168)Termination reason: Unknown
% 0.66/0.78 % (28168)Termination phase: Saturation
% 0.66/0.78
% 0.66/0.78 % (28168)Memory used [KB]: 1204
% 0.66/0.78 % (28168)Time elapsed: 0.010 s
% 0.66/0.78 % (28168)Instructions burned: 37 (million)
% 0.66/0.78 % (28168)------------------------------
% 0.66/0.78 % (28168)------------------------------
% 0.66/0.78 % (28173)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2996ds/40Mi)
% 0.66/0.78 % (28172)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.66/0.78 % (28173)Refutation not found, incomplete strategy% (28173)------------------------------
% 0.66/0.78 % (28173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79 % (28173)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.79
% 0.66/0.79 % (28173)Memory used [KB]: 1175
% 0.66/0.79 % (28173)Time elapsed: 0.005 s
% 0.66/0.79 % (28173)Instructions burned: 12 (million)
% 0.66/0.79 % (28173)------------------------------
% 0.66/0.79 % (28173)------------------------------
% 0.66/0.79 % (28172)Refutation not found, incomplete strategy% (28172)------------------------------
% 0.66/0.79 % (28172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79 % (28172)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.79
% 0.66/0.79 % (28172)Memory used [KB]: 1121
% 0.66/0.79 % (28172)Time elapsed: 0.006 s
% 0.66/0.79 % (28172)Instructions burned: 6 (million)
% 0.66/0.79 % (28172)------------------------------
% 0.66/0.79 % (28172)------------------------------
% 0.66/0.79 % (28174)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)
% 0.66/0.79 % (28175)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)
% 0.66/0.79 % (28165)Instruction limit reached!
% 0.66/0.79 % (28165)------------------------------
% 0.66/0.79 % (28165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79 % (28165)Termination reason: Unknown
% 0.66/0.79 % (28165)Termination phase: Saturation
% 0.66/0.79
% 0.66/0.79 % (28165)Memory used [KB]: 1180
% 0.66/0.79 % (28165)Time elapsed: 0.027 s
% 0.66/0.79 % (28165)Instructions burned: 54 (million)
% 0.66/0.79 % (28165)------------------------------
% 0.66/0.79 % (28165)------------------------------
% 0.66/0.80 % (28176)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)
% 0.66/0.81 % (28160)Instruction limit reached!
% 0.66/0.81 % (28160)------------------------------
% 0.66/0.81 % (28160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (28160)Termination reason: Unknown
% 0.66/0.81 % (28160)Termination phase: Saturation
% 0.66/0.81
% 0.66/0.81 % (28160)Memory used [KB]: 2165
% 0.66/0.81 % (28160)Time elapsed: 0.051 s
% 0.66/0.81 % (28160)Instructions burned: 95 (million)
% 0.66/0.81 % (28160)------------------------------
% 0.66/0.81 % (28160)------------------------------
% 0.66/0.81 % (28169)Instruction limit reached!
% 0.66/0.81 % (28169)------------------------------
% 0.66/0.81 % (28169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (28169)Termination reason: Unknown
% 0.66/0.81 % (28169)Termination phase: Saturation
% 0.66/0.81
% 0.66/0.81 % (28169)Memory used [KB]: 1433
% 0.66/0.81 % (28169)Time elapsed: 0.039 s
% 0.66/0.81 % (28169)Instructions burned: 88 (million)
% 0.66/0.81 % (28169)------------------------------
% 0.66/0.81 % (28169)------------------------------
% 0.66/0.81 % (28174)First to succeed.
% 0.66/0.81 % (28177)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.66/0.81 % (28174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28142"
% 0.66/0.82 % (28174)Refutation found. Thanks to Tanya!
% 0.66/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.82 % (28174)------------------------------
% 0.66/0.82 % (28174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.82 % (28174)Termination reason: Refutation
% 0.66/0.82
% 0.66/0.82 % (28174)Memory used [KB]: 1556
% 0.66/0.82 % (28174)Time elapsed: 0.027 s
% 0.66/0.82 % (28174)Instructions burned: 89 (million)
% 0.66/0.82 % (28142)Success in time 0.454 s
% 0.66/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------