TSTP Solution File: GRP125-2.005 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP125-2.005 : TPTP v8.2.0. Released v1.2.0.
% 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 : n028.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 : Mon May 20 21:06:44 EDT 2024
% Result : Unsatisfiable 0.79s 0.79s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 137
% Syntax : Number of formulae : 620 ( 75 unt; 0 def)
% Number of atoms : 1474 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1535 ( 681 ~; 754 |; 0 &)
% ( 100 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 106 ( 105 usr; 101 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2272,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f94,f102,f125,f156,f182,f190,f216,f242,f267,f292,f299,f324,f350,f375,f401,f408,f433,f458,f465,f490,f497,f523,f530,f555,f562,f569,f594,f621,f646,f671,f678,f685,f694,f702,f710,f722,f724,f732,f744,f754,f762,f782,f791,f800,f807,f835,f854,f872,f892,f899,f918,f925,f932,f961,f980,f987,f995,f1005,f1016,f1023,f1030,f1041,f1048,f1059,f1066,f1076,f1086,f1104,f1118,f1130,f1163,f1189,f1200,f1208,f1215,f1226,f1256,f1270,f1279,f1286,f1310,f1317,f1324,f1339,f1346,f1372,f1430,f1444,f1526,f1536,f1564,f1571,f1590,f1613,f1700,f1707,f1724,f1767,f1787,f1805,f1812,f1848,f1870,f1892,f1915,f1943,f1977,f1982,f2076,f2148,f2227,f2252,f2271]) ).
fof(f2271,plain,
( ~ spl0_53
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2270,plain,
( $false
| ~ spl0_53
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f2265,f40]) ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
fof(f2265,plain,
( equalish(e_5,e_4)
| ~ spl0_53
| ~ spl0_58 ),
inference(resolution,[],[f424,f1126]) ).
fof(f1126,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_4) )
| ~ spl0_53 ),
inference(resolution,[],[f392,f44]) ).
fof(f44,axiom,
! [X3,X0,X1,X4] :
( ~ product(X4,X1,X0)
| equalish(X3,X4)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f392,plain,
( product(e_4,e_3,e_1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl0_53
<=> product(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f424,plain,
( product(e_5,e_3,e_1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl0_58
<=> product(e_5,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2252,plain,
( ~ spl0_28
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2251,plain,
( $false
| ~ spl0_28
| ~ spl0_73 ),
inference(subsumption_resolution,[],[f2246,f27]) ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f2246,plain,
( equalish(e_2,e_4)
| ~ spl0_28
| ~ spl0_73 ),
inference(resolution,[],[f258,f940]) ).
fof(f940,plain,
( ! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(X0,e_4) )
| ~ spl0_73 ),
inference(resolution,[],[f514,f43]) ).
fof(f43,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X4,X1)
| equalish(X3,X4)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f514,plain,
( product(e_3,e_4,e_1)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f512,plain,
( spl0_73
<=> product(e_3,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f258,plain,
( product(e_3,e_2,e_1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl0_28
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2227,plain,
( ~ spl0_5
| ~ spl0_21
| spl0_74 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2226,plain,
( $false
| ~ spl0_5
| ~ spl0_21
| spl0_74 ),
inference(subsumption_resolution,[],[f2225,f517]) ).
fof(f517,plain,
( ~ product(e_3,e_4,e_2)
| spl0_74 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl0_74
<=> product(e_3,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f2225,plain,
( product(e_3,e_4,e_2)
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f243,f85]) ).
fof(f85,plain,
( product(e_2,e_1,e_3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_5
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f243,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_4,e_2) )
| ~ spl0_21 ),
inference(resolution,[],[f225,f46]) ).
fof(f46,axiom,
! [X0,X1,X6,X5] :
( ~ product(X1,X0,X6)
| product(X5,X6,X0)
| ~ product(X0,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f225,plain,
( product(e_1,e_2,e_4)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl0_21
<=> product(e_1,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f2148,plain,
( ~ spl0_5
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2147,plain,
( $false
| ~ spl0_5
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2136,f22]) ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f2136,plain,
( equalish(e_1,e_3)
| ~ spl0_5
| ~ spl0_25 ),
inference(resolution,[],[f2132,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f42,f45]) ).
fof(f45,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f42,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X1,X4)
| equalish(X3,X4)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f2132,plain,
( product(e_3,e_3,e_1)
| ~ spl0_5
| ~ spl0_25 ),
inference(resolution,[],[f132,f241]) ).
fof(f241,plain,
( product(e_1,e_2,e_3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl0_25
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f132,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_3,e_1) )
| ~ spl0_5 ),
inference(resolution,[],[f85,f46]) ).
fof(f2076,plain,
( ~ spl0_58
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f2075]) ).
fof(f2075,plain,
( $false
| ~ spl0_58
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f2073,f31]) ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f2073,plain,
( equalish(e_3,e_4)
| ~ spl0_58
| ~ spl0_78 ),
inference(resolution,[],[f572,f424]) ).
fof(f572,plain,
( ! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(X0,e_4) )
| ~ spl0_78 ),
inference(resolution,[],[f546,f43]) ).
fof(f546,plain,
( product(e_5,e_4,e_1)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl0_78
<=> product(e_5,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1982,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1981]) ).
fof(f1981,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1980,f12]) ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
fof(f1980,plain,
( ~ greater(e_4,e_3)
| ~ spl0_1 ),
inference(resolution,[],[f1375,f2]) ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
fof(f1375,plain,
( ! [X0] :
( ~ next(e_2,X0)
| ~ greater(e_4,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f69,f15]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
fof(f69,plain,
( product(e_2,e_1,e_4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_1
<=> product(e_2,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1977,plain,
~ spl0_95,
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1976,plain,
( $false
| ~ spl0_95 ),
inference(subsumption_resolution,[],[f1975,f39]) ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
fof(f1975,plain,
( equalish(e_5,e_3)
| ~ spl0_95 ),
inference(resolution,[],[f645,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f43,f45]) ).
fof(f645,plain,
( product(e_3,e_5,e_3)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl0_95
<=> product(e_3,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1943,plain,
( ~ spl0_21
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1942,plain,
( $false
| ~ spl0_21
| ~ spl0_81 ),
inference(subsumption_resolution,[],[f1937,f38]) ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
fof(f1937,plain,
( equalish(e_5,e_2)
| ~ spl0_21
| ~ spl0_81 ),
inference(resolution,[],[f577,f245]) ).
fof(f245,plain,
( ! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(X0,e_2) )
| ~ spl0_21 ),
inference(resolution,[],[f225,f43]) ).
fof(f577,plain,
( product(e_1,e_5,e_4)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl0_81
<=> product(e_1,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1915,plain,
( ~ spl0_47
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f1914]) ).
fof(f1914,plain,
( $false
| ~ spl0_47
| ~ spl0_67 ),
inference(subsumption_resolution,[],[f1909,f31]) ).
fof(f1909,plain,
( equalish(e_3,e_4)
| ~ spl0_47
| ~ spl0_67 ),
inference(resolution,[],[f362,f500]) ).
fof(f500,plain,
( ! [X0] :
( ~ product(e_2,X0,e_5)
| equalish(X0,e_4) )
| ~ spl0_67 ),
inference(resolution,[],[f477,f43]) ).
fof(f477,plain,
( product(e_2,e_4,e_5)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl0_67
<=> product(e_2,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f362,plain,
( product(e_2,e_3,e_5)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl0_47
<=> product(e_2,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1892,plain,
( ~ spl0_48
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1891,plain,
( $false
| ~ spl0_48
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f1890,f34]) ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f1890,plain,
( equalish(e_4,e_2)
| ~ spl0_48
| ~ spl0_53 ),
inference(resolution,[],[f878,f392]) ).
fof(f878,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_2) )
| ~ spl0_48 ),
inference(resolution,[],[f366,f44]) ).
fof(f366,plain,
( product(e_2,e_3,e_1)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl0_48
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1870,plain,
( ~ spl0_44
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1869,plain,
( $false
| ~ spl0_44
| ~ spl0_64 ),
inference(subsumption_resolution,[],[f1867,f35]) ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f1867,plain,
( equalish(e_4,e_3)
| ~ spl0_44
| ~ spl0_64 ),
inference(resolution,[],[f875,f453]) ).
fof(f453,plain,
( product(e_1,e_4,e_2)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl0_64
<=> product(e_1,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f875,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(X0,e_3) )
| ~ spl0_44 ),
inference(resolution,[],[f345,f43]) ).
fof(f345,plain,
( product(e_1,e_3,e_2)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl0_44
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1848,plain,
( ~ spl0_19
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1847]) ).
fof(f1847,plain,
( $false
| ~ spl0_19
| ~ spl0_59 ),
inference(subsumption_resolution,[],[f1846,f29]) ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f1846,plain,
( equalish(e_3,e_1)
| ~ spl0_19
| ~ spl0_59 ),
inference(resolution,[],[f766,f428]) ).
fof(f428,plain,
( product(e_5,e_3,e_2)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl0_59
<=> product(e_5,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f766,plain,
( ! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(X0,e_1) )
| ~ spl0_19 ),
inference(resolution,[],[f211,f43]) ).
fof(f211,plain,
( product(e_5,e_1,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl0_19
<=> product(e_5,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1812,plain,
( ~ spl0_12
| ~ spl0_64
| spl0_88 ),
inference(avatar_contradiction_clause,[],[f1811]) ).
fof(f1811,plain,
( $false
| ~ spl0_12
| ~ spl0_64
| spl0_88 ),
inference(subsumption_resolution,[],[f1806,f611]) ).
fof(f611,plain,
( ~ product(e_2,e_5,e_1)
| spl0_88 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl0_88
<=> product(e_2,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1806,plain,
( product(e_2,e_5,e_1)
| ~ spl0_12
| ~ spl0_64 ),
inference(resolution,[],[f453,f192]) ).
fof(f192,plain,
( ! [X0] :
( ~ product(e_1,e_4,X0)
| product(X0,e_5,e_1) )
| ~ spl0_12 ),
inference(resolution,[],[f169,f46]) ).
fof(f169,plain,
( product(e_4,e_1,e_5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_12
<=> product(e_4,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1805,plain,
( ~ spl0_12
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f1804]) ).
fof(f1804,plain,
( $false
| ~ spl0_12
| ~ spl0_62 ),
inference(subsumption_resolution,[],[f1795,f24]) ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
fof(f1795,plain,
( equalish(e_1,e_5)
| ~ spl0_12
| ~ spl0_62 ),
inference(resolution,[],[f1772,f48]) ).
fof(f1772,plain,
( product(e_5,e_5,e_1)
| ~ spl0_12
| ~ spl0_62 ),
inference(resolution,[],[f445,f192]) ).
fof(f445,plain,
( product(e_1,e_4,e_5)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl0_62
<=> product(e_1,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1787,plain,
( ~ spl0_84
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1786,plain,
( $false
| ~ spl0_84
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f1781,f33]) ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f1781,plain,
( equalish(e_4,e_1)
| ~ spl0_84
| ~ spl0_99 ),
inference(resolution,[],[f666,f989]) ).
fof(f989,plain,
( ! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) )
| ~ spl0_84 ),
inference(resolution,[],[f589,f44]) ).
fof(f589,plain,
( product(e_1,e_5,e_2)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl0_84
<=> product(e_1,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f666,plain,
( product(e_4,e_5,e_2)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl0_99
<=> product(e_4,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1767,plain,
( ~ spl0_65
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1766,plain,
( $false
| ~ spl0_65
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f1761,f37]) ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
fof(f1761,plain,
( equalish(e_5,e_1)
| ~ spl0_65
| ~ spl0_80 ),
inference(resolution,[],[f554,f1272]) ).
fof(f1272,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) )
| ~ spl0_65 ),
inference(resolution,[],[f457,f44]) ).
fof(f457,plain,
( product(e_1,e_4,e_3)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl0_65
<=> product(e_1,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f554,plain,
( product(e_5,e_4,e_3)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl0_80
<=> product(e_5,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1724,plain,
( ~ spl0_5
| ~ spl0_21
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f1723]) ).
fof(f1723,plain,
( $false
| ~ spl0_5
| ~ spl0_21
| spl0_53 ),
inference(subsumption_resolution,[],[f1718,f391]) ).
fof(f391,plain,
( ~ product(e_4,e_3,e_1)
| spl0_53 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f1718,plain,
( product(e_4,e_3,e_1)
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f225,f132]) ).
fof(f1707,plain,
( ~ spl0_22
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1706,plain,
( $false
| ~ spl0_22
| ~ spl0_42 ),
inference(subsumption_resolution,[],[f1701,f30]) ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f1701,plain,
( equalish(e_3,e_2)
| ~ spl0_22
| ~ spl0_42 ),
inference(resolution,[],[f337,f777]) ).
fof(f777,plain,
( ! [X0] :
( ~ product(e_1,X0,e_5)
| equalish(X0,e_2) )
| ~ spl0_22 ),
inference(resolution,[],[f229,f43]) ).
fof(f229,plain,
( product(e_1,e_2,e_5)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_22
<=> product(e_1,e_2,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f337,plain,
( product(e_1,e_3,e_5)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl0_42
<=> product(e_1,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1700,plain,
( ~ spl0_9
| ~ spl0_41
| spl0_70 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
fof(f1699,plain,
( $false
| ~ spl0_9
| ~ spl0_41
| spl0_70 ),
inference(subsumption_resolution,[],[f1698,f488]) ).
fof(f488,plain,
( ~ product(e_2,e_4,e_3)
| spl0_70 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl0_70
<=> product(e_2,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1698,plain,
( product(e_2,e_4,e_3)
| ~ spl0_9
| ~ spl0_41 ),
inference(resolution,[],[f351,f151]) ).
fof(f151,plain,
( product(e_3,e_1,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_9
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f351,plain,
( ! [X0] :
( ~ product(e_3,e_1,X0)
| product(X0,e_4,e_3) )
| ~ spl0_41 ),
inference(resolution,[],[f333,f46]) ).
fof(f333,plain,
( product(e_1,e_3,e_4)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl0_41
<=> product(e_1,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1613,plain,
( ~ spl0_5
| ~ spl0_22
| spl0_58 ),
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1612,plain,
( $false
| ~ spl0_5
| ~ spl0_22
| spl0_58 ),
inference(subsumption_resolution,[],[f1611,f423]) ).
fof(f423,plain,
( ~ product(e_5,e_3,e_1)
| spl0_58 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f1611,plain,
( product(e_5,e_3,e_1)
| ~ spl0_5
| ~ spl0_22 ),
inference(resolution,[],[f132,f229]) ).
fof(f1590,plain,
( ~ spl0_35
| ~ spl0_100 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1589,plain,
( $false
| ~ spl0_35
| ~ spl0_100 ),
inference(subsumption_resolution,[],[f1587,f38]) ).
fof(f1587,plain,
( equalish(e_5,e_2)
| ~ spl0_35
| ~ spl0_100 ),
inference(resolution,[],[f1069,f670]) ).
fof(f670,plain,
( product(e_4,e_5,e_3)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl0_100
<=> product(e_4,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1069,plain,
( ! [X0] :
( ~ product(e_4,X0,e_3)
| equalish(X0,e_2) )
| ~ spl0_35 ),
inference(resolution,[],[f291,f43]) ).
fof(f291,plain,
( product(e_4,e_2,e_3)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_35
<=> product(e_4,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1571,plain,
~ spl0_60,
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1570,plain,
( $false
| ~ spl0_60 ),
inference(subsumption_resolution,[],[f1569,f39]) ).
fof(f1569,plain,
( equalish(e_5,e_3)
| ~ spl0_60 ),
inference(resolution,[],[f432,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f44,f45]) ).
fof(f432,plain,
( product(e_5,e_3,e_3)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f430,plain,
( spl0_60
<=> product(e_5,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1564,plain,
( ~ spl0_38
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1563,plain,
( $false
| ~ spl0_38
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f1561,f30]) ).
fof(f1561,plain,
( equalish(e_3,e_2)
| ~ spl0_38
| ~ spl0_58 ),
inference(resolution,[],[f838,f424]) ).
fof(f838,plain,
( ! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(X0,e_2) )
| ~ spl0_38 ),
inference(resolution,[],[f315,f43]) ).
fof(f315,plain,
( product(e_5,e_2,e_1)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl0_38
<=> product(e_5,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1536,plain,
( ~ spl0_65
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1535,plain,
( $false
| ~ spl0_65
| ~ spl0_85 ),
inference(subsumption_resolution,[],[f1534,f40]) ).
fof(f1534,plain,
( equalish(e_5,e_4)
| ~ spl0_65
| ~ spl0_85 ),
inference(resolution,[],[f1273,f593]) ).
fof(f593,plain,
( product(e_1,e_5,e_3)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl0_85
<=> product(e_1,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1273,plain,
( ! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) )
| ~ spl0_65 ),
inference(resolution,[],[f457,f43]) ).
fof(f1526,plain,
( ~ spl0_54
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1525,plain,
( $false
| ~ spl0_54
| ~ spl0_99 ),
inference(subsumption_resolution,[],[f1523,f39]) ).
fof(f1523,plain,
( equalish(e_5,e_3)
| ~ spl0_54
| ~ spl0_99 ),
inference(resolution,[],[f1133,f666]) ).
fof(f1133,plain,
( ! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) )
| ~ spl0_54 ),
inference(resolution,[],[f396,f43]) ).
fof(f396,plain,
( product(e_4,e_3,e_2)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl0_54
<=> product(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1444,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1442,f26]) ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f1442,plain,
( equalish(e_2,e_3)
| ~ spl0_30 ),
inference(resolution,[],[f266,f49]) ).
fof(f266,plain,
( product(e_3,e_2,e_3)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl0_30
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1430,plain,
( ~ spl0_35
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1429,plain,
( $false
| ~ spl0_35
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f1427,f36]) ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
fof(f1427,plain,
( equalish(e_4,e_5)
| ~ spl0_35
| ~ spl0_40 ),
inference(resolution,[],[f963,f291]) ).
fof(f963,plain,
( ! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(X0,e_5) )
| ~ spl0_40 ),
inference(resolution,[],[f323,f44]) ).
fof(f323,plain,
( product(e_5,e_2,e_3)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl0_40
<=> product(e_5,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1372,plain,
( ~ spl0_19
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| ~ spl0_19
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f1366,f33]) ).
fof(f1366,plain,
( equalish(e_4,e_1)
| ~ spl0_19
| ~ spl0_79 ),
inference(resolution,[],[f550,f766]) ).
fof(f550,plain,
( product(e_5,e_4,e_2)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl0_79
<=> product(e_5,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1346,plain,
~ spl0_55,
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1345,plain,
( $false
| ~ spl0_55 ),
inference(subsumption_resolution,[],[f1344,f35]) ).
fof(f1344,plain,
( equalish(e_4,e_3)
| ~ spl0_55 ),
inference(resolution,[],[f400,f50]) ).
fof(f400,plain,
( product(e_4,e_3,e_3)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl0_55
<=> product(e_4,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1339,plain,
( ~ spl0_33
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl0_33
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f1333,f30]) ).
fof(f1333,plain,
( equalish(e_3,e_2)
| ~ spl0_33
| ~ spl0_53 ),
inference(resolution,[],[f392,f822]) ).
fof(f822,plain,
( ! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(X0,e_2) )
| ~ spl0_33 ),
inference(resolution,[],[f283,f43]) ).
fof(f283,plain,
( product(e_4,e_2,e_1)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl0_33
<=> product(e_4,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1324,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f1323]) ).
fof(f1323,plain,
( $false
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f1322,f22]) ).
fof(f1322,plain,
( equalish(e_1,e_3)
| ~ spl0_45 ),
inference(resolution,[],[f349,f50]) ).
fof(f349,plain,
( product(e_1,e_3,e_3)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl0_45
<=> product(e_1,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1317,plain,
~ spl0_49,
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl0_49 ),
inference(subsumption_resolution,[],[f1315,f30]) ).
fof(f1315,plain,
( equalish(e_3,e_2)
| ~ spl0_49 ),
inference(resolution,[],[f370,f49]) ).
fof(f370,plain,
( product(e_2,e_3,e_2)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_49
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1310,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1309,plain,
( $false
| ~ spl0_50 ),
inference(subsumption_resolution,[],[f1306,f26]) ).
fof(f1306,plain,
( equalish(e_2,e_3)
| ~ spl0_50 ),
inference(resolution,[],[f374,f50]) ).
fof(f374,plain,
( product(e_2,e_3,e_3)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl0_50
<=> product(e_2,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1286,plain,
~ spl0_75,
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1285,plain,
( $false
| ~ spl0_75 ),
inference(subsumption_resolution,[],[f1284,f35]) ).
fof(f1284,plain,
( equalish(e_4,e_3)
| ~ spl0_75 ),
inference(resolution,[],[f522,f49]) ).
fof(f522,plain,
( product(e_3,e_4,e_3)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl0_75
<=> product(e_3,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1279,plain,
( ~ spl0_74
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1278,plain,
( $false
| ~ spl0_74
| ~ spl0_94 ),
inference(subsumption_resolution,[],[f1276,f40]) ).
fof(f1276,plain,
( equalish(e_5,e_4)
| ~ spl0_74
| ~ spl0_94 ),
inference(resolution,[],[f946,f641]) ).
fof(f641,plain,
( product(e_3,e_5,e_2)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl0_94
<=> product(e_3,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f946,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(X0,e_4) )
| ~ spl0_74 ),
inference(resolution,[],[f518,f43]) ).
fof(f518,plain,
( product(e_3,e_4,e_2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f1270,plain,
( ~ spl0_64
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1269,plain,
( $false
| ~ spl0_64
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1268,f29]) ).
fof(f1268,plain,
( equalish(e_3,e_1)
| ~ spl0_64
| ~ spl0_74 ),
inference(resolution,[],[f901,f518]) ).
fof(f901,plain,
( ! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(X0,e_1) )
| ~ spl0_64 ),
inference(resolution,[],[f453,f44]) ).
fof(f1256,plain,
( ~ spl0_44
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| ~ spl0_44
| ~ spl0_54 ),
inference(subsumption_resolution,[],[f1254,f33]) ).
fof(f1254,plain,
( equalish(e_4,e_1)
| ~ spl0_44
| ~ spl0_54 ),
inference(resolution,[],[f874,f396]) ).
fof(f874,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(X0,e_1) )
| ~ spl0_44 ),
inference(resolution,[],[f345,f44]) ).
fof(f1226,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f1225]) ).
fof(f1225,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1222,f22]) ).
fof(f1222,plain,
( equalish(e_1,e_3)
| ~ spl0_10 ),
inference(resolution,[],[f155,f49]) ).
fof(f155,plain,
( product(e_3,e_1,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl0_10
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1215,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f1213,f30]) ).
fof(f1213,plain,
( equalish(e_3,e_2)
| ~ spl0_29 ),
inference(resolution,[],[f262,f50]) ).
fof(f262,plain,
( product(e_3,e_2,e_2)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl0_29
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1208,plain,
( ~ spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| ~ spl0_22
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1206,f29]) ).
fof(f1206,plain,
( equalish(e_3,e_1)
| ~ spl0_22
| ~ spl0_27 ),
inference(resolution,[],[f776,f254]) ).
fof(f254,plain,
( product(e_3,e_2,e_5)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl0_27
<=> product(e_3,e_2,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f776,plain,
( ! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) )
| ~ spl0_22 ),
inference(resolution,[],[f229,f44]) ).
fof(f1200,plain,
( ~ spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| ~ spl0_6
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f1194,f25]) ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f1194,plain,
( equalish(e_2,e_1)
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f250,f160]) ).
fof(f160,plain,
( ! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(X0,e_1) )
| ~ spl0_6 ),
inference(resolution,[],[f139,f43]) ).
fof(f139,plain,
( product(e_3,e_1,e_4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl0_6
<=> product(e_3,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f250,plain,
( product(e_3,e_2,e_4)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_26
<=> product(e_3,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1189,plain,
( ~ spl0_28
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1188,plain,
( $false
| ~ spl0_28
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f1187,f35]) ).
fof(f1187,plain,
( equalish(e_4,e_3)
| ~ spl0_28
| ~ spl0_33 ),
inference(resolution,[],[f813,f283]) ).
fof(f813,plain,
( ! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(X0,e_3) )
| ~ spl0_28 ),
inference(resolution,[],[f258,f44]) ).
fof(f1163,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl0_57 ),
inference(subsumption_resolution,[],[f1161,f32]) ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
fof(f1161,plain,
( equalish(e_3,e_5)
| ~ spl0_57 ),
inference(resolution,[],[f420,f49]) ).
fof(f420,plain,
( product(e_5,e_3,e_5)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl0_57
<=> product(e_5,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1130,plain,
( ~ spl0_53
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| ~ spl0_53
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f1124,f32]) ).
fof(f1124,plain,
( equalish(e_3,e_5)
| ~ spl0_53
| ~ spl0_98 ),
inference(resolution,[],[f392,f688]) ).
fof(f688,plain,
( ! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(X0,e_5) )
| ~ spl0_98 ),
inference(resolution,[],[f662,f43]) ).
fof(f662,plain,
( product(e_4,e_5,e_1)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl0_98
<=> product(e_4,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1118,plain,
( ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| ~ spl0_14
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1116,f40]) ).
fof(f1116,plain,
( equalish(e_5,e_4)
| ~ spl0_14
| ~ spl0_19 ),
inference(resolution,[],[f735,f211]) ).
fof(f735,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_4) )
| ~ spl0_14 ),
inference(resolution,[],[f177,f44]) ).
fof(f177,plain,
( product(e_4,e_1,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl0_14
<=> product(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1104,plain,
( ~ spl0_5
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| ~ spl0_5
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f1097,f38]) ).
fof(f1097,plain,
( equalish(e_5,e_2)
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f215,f133]) ).
fof(f133,plain,
( ! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(X0,e_2) )
| ~ spl0_5 ),
inference(resolution,[],[f85,f44]) ).
fof(f215,plain,
( product(e_5,e_1,e_3)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_20
<=> product(e_5,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1086,plain,
( ~ spl0_5
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1085]) ).
fof(f1085,plain,
( $false
| ~ spl0_5
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1079,f34]) ).
fof(f1079,plain,
( equalish(e_4,e_2)
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f181,f133]) ).
fof(f181,plain,
( product(e_4,e_1,e_3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_15
<=> product(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1076,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1075,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1073,f35]) ).
fof(f1073,plain,
( equalish(e_4,e_3)
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f713,f177]) ).
fof(f713,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) )
| ~ spl0_9 ),
inference(resolution,[],[f151,f44]) ).
fof(f1066,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1065,plain,
( $false
| ~ spl0_34 ),
inference(subsumption_resolution,[],[f1064,f34]) ).
fof(f1064,plain,
( equalish(e_4,e_2)
| ~ spl0_34 ),
inference(resolution,[],[f287,f50]) ).
fof(f287,plain,
( product(e_4,e_2,e_2)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl0_34
<=> product(e_4,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1059,plain,
( ~ spl0_33
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1058]) ).
fof(f1058,plain,
( $false
| ~ spl0_33
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f1057,f28]) ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
fof(f1057,plain,
( equalish(e_2,e_5)
| ~ spl0_33
| ~ spl0_98 ),
inference(resolution,[],[f688,f283]) ).
fof(f1048,plain,
( ~ spl0_93
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1047,plain,
( $false
| ~ spl0_93
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f1042,f31]) ).
fof(f1042,plain,
( equalish(e_3,e_4)
| ~ spl0_93
| ~ spl0_98 ),
inference(resolution,[],[f637,f687]) ).
fof(f687,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_4) )
| ~ spl0_98 ),
inference(resolution,[],[f662,f44]) ).
fof(f637,plain,
( product(e_3,e_5,e_1)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f635,plain,
( spl0_93
<=> product(e_3,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f1041,plain,
~ spl0_92,
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1040,plain,
( $false
| ~ spl0_92 ),
inference(subsumption_resolution,[],[f1039,f32]) ).
fof(f1039,plain,
( equalish(e_3,e_5)
| ~ spl0_92 ),
inference(resolution,[],[f633,f50]) ).
fof(f633,plain,
( product(e_3,e_5,e_5)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f631,plain,
( spl0_92
<=> product(e_3,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1030,plain,
( ~ spl0_5
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl0_5
| ~ spl0_90 ),
inference(subsumption_resolution,[],[f1024,f37]) ).
fof(f1024,plain,
( equalish(e_5,e_1)
| ~ spl0_5
| ~ spl0_90 ),
inference(resolution,[],[f620,f134]) ).
fof(f134,plain,
( ! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(X0,e_1) )
| ~ spl0_5 ),
inference(resolution,[],[f85,f43]) ).
fof(f620,plain,
( product(e_2,e_5,e_3)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl0_90
<=> product(e_2,e_5,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1023,plain,
~ spl0_89,
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1022,plain,
( $false
| ~ spl0_89 ),
inference(subsumption_resolution,[],[f1021,f38]) ).
fof(f1021,plain,
( equalish(e_5,e_2)
| ~ spl0_89 ),
inference(resolution,[],[f616,f49]) ).
fof(f616,plain,
( product(e_2,e_5,e_2)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl0_89
<=> product(e_2,e_5,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1016,plain,
( ~ spl0_88
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1015,plain,
( $false
| ~ spl0_88
| ~ spl0_98 ),
inference(subsumption_resolution,[],[f1013,f27]) ).
fof(f1013,plain,
( equalish(e_2,e_4)
| ~ spl0_88
| ~ spl0_98 ),
inference(resolution,[],[f687,f612]) ).
fof(f612,plain,
( product(e_2,e_5,e_1)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f1005,plain,
~ spl0_87,
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f1001,f28]) ).
fof(f1001,plain,
( equalish(e_2,e_5)
| ~ spl0_87 ),
inference(resolution,[],[f608,f50]) ).
fof(f608,plain,
( product(e_2,e_5,e_5)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl0_87
<=> product(e_2,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f995,plain,
( ~ spl0_86
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| ~ spl0_86
| ~ spl0_91 ),
inference(subsumption_resolution,[],[f993,f30]) ).
fof(f993,plain,
( equalish(e_3,e_2)
| ~ spl0_86
| ~ spl0_91 ),
inference(resolution,[],[f623,f629]) ).
fof(f629,plain,
( product(e_3,e_5,e_4)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f627,plain,
( spl0_91
<=> product(e_3,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f623,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_2) )
| ~ spl0_86 ),
inference(resolution,[],[f604,f44]) ).
fof(f604,plain,
( product(e_2,e_5,e_4)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl0_86
<=> product(e_2,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f987,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f986,plain,
( $false
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f985,f37]) ).
fof(f985,plain,
( equalish(e_5,e_1)
| ~ spl0_83 ),
inference(resolution,[],[f585,f49]) ).
fof(f585,plain,
( product(e_1,e_5,e_1)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f583,plain,
( spl0_83
<=> product(e_1,e_5,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f980,plain,
~ spl0_82,
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f979,plain,
( $false
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f978,f24]) ).
fof(f978,plain,
( equalish(e_1,e_5)
| ~ spl0_82 ),
inference(resolution,[],[f581,f50]) ).
fof(f581,plain,
( product(e_1,e_5,e_5)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f579,plain,
( spl0_82
<=> product(e_1,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f961,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f959,f38]) ).
fof(f959,plain,
( equalish(e_5,e_2)
| ~ spl0_39 ),
inference(resolution,[],[f319,f50]) ).
fof(f319,plain,
( product(e_5,e_2,e_2)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl0_39
<=> product(e_5,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f932,plain,
( ~ spl0_5
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f931,plain,
( $false
| ~ spl0_5
| ~ spl0_70 ),
inference(subsumption_resolution,[],[f926,f33]) ).
fof(f926,plain,
( equalish(e_4,e_1)
| ~ spl0_5
| ~ spl0_70 ),
inference(resolution,[],[f489,f134]) ).
fof(f489,plain,
( product(e_2,e_4,e_3)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f925,plain,
~ spl0_69,
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f924,plain,
( $false
| ~ spl0_69 ),
inference(subsumption_resolution,[],[f923,f34]) ).
fof(f923,plain,
( equalish(e_4,e_2)
| ~ spl0_69 ),
inference(resolution,[],[f485,f49]) ).
fof(f485,plain,
( product(e_2,e_4,e_2)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl0_69
<=> product(e_2,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f918,plain,
( ~ spl0_68
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f917,plain,
( $false
| ~ spl0_68
| ~ spl0_78 ),
inference(subsumption_resolution,[],[f915,f28]) ).
fof(f915,plain,
( equalish(e_2,e_5)
| ~ spl0_68
| ~ spl0_78 ),
inference(resolution,[],[f571,f481]) ).
fof(f481,plain,
( product(e_2,e_4,e_1)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl0_68
<=> product(e_2,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f571,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_5) )
| ~ spl0_78 ),
inference(resolution,[],[f546,f44]) ).
fof(f899,plain,
~ spl0_63,
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl0_63 ),
inference(subsumption_resolution,[],[f897,f33]) ).
fof(f897,plain,
( equalish(e_4,e_1)
| ~ spl0_63 ),
inference(resolution,[],[f449,f49]) ).
fof(f449,plain,
( product(e_1,e_4,e_1)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl0_63
<=> product(e_1,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f892,plain,
( ~ spl0_62
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| ~ spl0_62
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f888,f29]) ).
fof(f888,plain,
( equalish(e_3,e_1)
| ~ spl0_62
| ~ spl0_72 ),
inference(resolution,[],[f467,f510]) ).
fof(f510,plain,
( product(e_3,e_4,e_5)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f508,plain,
( spl0_72
<=> product(e_3,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f467,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_1) )
| ~ spl0_62 ),
inference(resolution,[],[f445,f44]) ).
fof(f872,plain,
~ spl0_43,
inference(avatar_contradiction_clause,[],[f871]) ).
fof(f871,plain,
( $false
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f870,f29]) ).
fof(f870,plain,
( equalish(e_3,e_1)
| ~ spl0_43 ),
inference(resolution,[],[f341,f49]) ).
fof(f341,plain,
( product(e_1,e_3,e_1)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl0_43
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f854,plain,
( ~ spl0_46
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f853,plain,
( $false
| ~ spl0_46
| ~ spl0_56 ),
inference(subsumption_resolution,[],[f852,f38]) ).
fof(f852,plain,
( equalish(e_5,e_2)
| ~ spl0_46
| ~ spl0_56 ),
inference(resolution,[],[f377,f416]) ).
fof(f416,plain,
( product(e_5,e_3,e_4)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl0_56
<=> product(e_5,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f377,plain,
( ! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(X0,e_2) )
| ~ spl0_46 ),
inference(resolution,[],[f358,f44]) ).
fof(f358,plain,
( product(e_2,e_3,e_4)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl0_46
<=> product(e_2,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f835,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl0_37 ),
inference(subsumption_resolution,[],[f833,f28]) ).
fof(f833,plain,
( equalish(e_2,e_5)
| ~ spl0_37 ),
inference(resolution,[],[f311,f49]) ).
fof(f311,plain,
( product(e_5,e_2,e_5)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl0_37
<=> product(e_5,e_2,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f807,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f805,f21]) ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f805,plain,
( equalish(e_1,e_2)
| ~ spl0_24 ),
inference(resolution,[],[f237,f50]) ).
fof(f237,plain,
( product(e_1,e_2,e_2)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_24
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f800,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f798,f25]) ).
fof(f798,plain,
( equalish(e_2,e_1)
| ~ spl0_23 ),
inference(resolution,[],[f233,f49]) ).
fof(f233,plain,
( product(e_1,e_2,e_1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl0_23
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f791,plain,
( ~ spl0_22
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl0_22
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f787,f23]) ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f787,plain,
( equalish(e_1,e_4)
| ~ spl0_22
| ~ spl0_32 ),
inference(resolution,[],[f301,f229]) ).
fof(f301,plain,
( ! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(X0,e_4) )
| ~ spl0_32 ),
inference(resolution,[],[f279,f44]) ).
fof(f279,plain,
( product(e_4,e_2,e_5)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_32
<=> product(e_4,e_2,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f782,plain,
( ~ spl0_26
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f781,plain,
( $false
| ~ spl0_26
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f780,f39]) ).
fof(f780,plain,
( equalish(e_5,e_3)
| ~ spl0_26
| ~ spl0_36 ),
inference(resolution,[],[f269,f307]) ).
fof(f307,plain,
( product(e_5,e_2,e_4)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl0_36
<=> product(e_5,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f269,plain,
( ! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(X0,e_3) )
| ~ spl0_26 ),
inference(resolution,[],[f250,f44]) ).
fof(f762,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f760,f37]) ).
fof(f760,plain,
( equalish(e_5,e_1)
| ~ spl0_18 ),
inference(resolution,[],[f207,f50]) ).
fof(f207,plain,
( product(e_5,e_1,e_1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl0_18
<=> product(e_5,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f754,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f752,f24]) ).
fof(f752,plain,
( equalish(e_1,e_5)
| ~ spl0_17 ),
inference(resolution,[],[f203,f49]) ).
fof(f203,plain,
( product(e_5,e_1,e_5)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl0_17
<=> product(e_5,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f744,plain,
( ~ spl0_16
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f743,plain,
( $false
| ~ spl0_16
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f741,f25]) ).
fof(f741,plain,
( equalish(e_2,e_1)
| ~ spl0_16
| ~ spl0_36 ),
inference(resolution,[],[f220,f307]) ).
fof(f220,plain,
( ! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(X0,e_1) )
| ~ spl0_16 ),
inference(resolution,[],[f199,f43]) ).
fof(f199,plain,
( product(e_5,e_1,e_4)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl0_16
<=> product(e_5,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f732,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f730,f33]) ).
fof(f730,plain,
( equalish(e_4,e_1)
| ~ spl0_13 ),
inference(resolution,[],[f173,f50]) ).
fof(f173,plain,
( product(e_4,e_1,e_1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_13
<=> product(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f724,plain,
( ~ spl0_12
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl0_12
| ~ spl0_52 ),
inference(subsumption_resolution,[],[f720,f29]) ).
fof(f720,plain,
( equalish(e_3,e_1)
| ~ spl0_12
| ~ spl0_52 ),
inference(resolution,[],[f194,f388]) ).
fof(f388,plain,
( product(e_4,e_3,e_5)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl0_52
<=> product(e_4,e_3,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f194,plain,
( ! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) )
| ~ spl0_12 ),
inference(resolution,[],[f169,f43]) ).
fof(f722,plain,
( ~ spl0_12
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl0_12
| ~ spl0_32 ),
inference(subsumption_resolution,[],[f719,f25]) ).
fof(f719,plain,
( equalish(e_2,e_1)
| ~ spl0_12
| ~ spl0_32 ),
inference(resolution,[],[f194,f279]) ).
fof(f710,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f708,f29]) ).
fof(f708,plain,
( equalish(e_3,e_1)
| ~ spl0_8 ),
inference(resolution,[],[f147,f50]) ).
fof(f147,plain,
( product(e_3,e_1,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_8
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f702,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f700,f14]) ).
fof(f14,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).
fof(f700,plain,
( ~ greater(e_5,e_4)
| ~ spl0_7 ),
inference(resolution,[],[f695,f3]) ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
fof(f695,plain,
( ! [X0] :
( ~ next(e_3,X0)
| ~ greater(e_5,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f143,f15]) ).
fof(f143,plain,
( product(e_3,e_1,e_5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_7
<=> product(e_3,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f694,plain,
( ~ spl0_6
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl0_6
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f692,f39]) ).
fof(f692,plain,
( equalish(e_5,e_3)
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f159,f199]) ).
fof(f159,plain,
( ! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(X0,e_3) )
| ~ spl0_6 ),
inference(resolution,[],[f139,f44]) ).
fof(f685,plain,
~ spl0_97,
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f684,plain,
( $false
| ~ spl0_97 ),
inference(subsumption_resolution,[],[f683,f36]) ).
fof(f683,plain,
( equalish(e_4,e_5)
| ~ spl0_97 ),
inference(resolution,[],[f658,f50]) ).
fof(f658,plain,
( product(e_4,e_5,e_5)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl0_97
<=> product(e_4,e_5,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f678,plain,
~ spl0_96,
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl0_96 ),
inference(subsumption_resolution,[],[f676,f40]) ).
fof(f676,plain,
( equalish(e_5,e_4)
| ~ spl0_96 ),
inference(resolution,[],[f654,f49]) ).
fof(f654,plain,
( product(e_4,e_5,e_4)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl0_96
<=> product(e_4,e_5,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f671,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99
| spl0_100 ),
inference(avatar_split_clause,[],[f129,f668,f664,f660,f656,f652]) ).
fof(f129,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_4) ),
inference(resolution,[],[f57,f19]) ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f57,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| product(X0,e_5,e_5)
| product(X0,e_5,e_4) ),
inference(resolution,[],[f41,f20]) ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
fof(f41,axiom,
! [X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| product(X0,X1,e_5)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f646,plain,
( spl0_91
| spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(avatar_split_clause,[],[f128,f643,f639,f635,f631,f627]) ).
fof(f128,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_5)
| product(e_3,e_5,e_4) ),
inference(resolution,[],[f57,f18]) ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f621,plain,
( spl0_86
| spl0_87
| spl0_88
| spl0_89
| spl0_90 ),
inference(avatar_split_clause,[],[f127,f618,f614,f610,f606,f602]) ).
fof(f127,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(resolution,[],[f57,f17]) ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f594,plain,
( spl0_81
| spl0_82
| spl0_83
| spl0_84
| spl0_85 ),
inference(avatar_split_clause,[],[f126,f591,f587,f583,f579,f575]) ).
fof(f126,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[],[f57,f16]) ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f569,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f568,plain,
( $false
| ~ spl0_77 ),
inference(subsumption_resolution,[],[f567,f36]) ).
fof(f567,plain,
( equalish(e_4,e_5)
| ~ spl0_77 ),
inference(resolution,[],[f542,f49]) ).
fof(f542,plain,
( product(e_5,e_4,e_5)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl0_77
<=> product(e_5,e_4,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f562,plain,
~ spl0_76,
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| ~ spl0_76 ),
inference(subsumption_resolution,[],[f560,f40]) ).
fof(f560,plain,
( equalish(e_5,e_4)
| ~ spl0_76 ),
inference(resolution,[],[f538,f50]) ).
fof(f538,plain,
( product(e_5,e_4,e_4)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl0_76
<=> product(e_5,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f555,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79
| spl0_80 ),
inference(avatar_split_clause,[],[f117,f552,f548,f544,f540,f536]) ).
fof(f117,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4) ),
inference(resolution,[],[f56,f20]) ).
fof(f56,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| product(X0,e_4,e_5)
| product(X0,e_4,e_4) ),
inference(resolution,[],[f41,f19]) ).
fof(f530,plain,
~ spl0_71,
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_71 ),
inference(subsumption_resolution,[],[f528,f31]) ).
fof(f528,plain,
( equalish(e_3,e_4)
| ~ spl0_71 ),
inference(resolution,[],[f506,f50]) ).
fof(f506,plain,
( product(e_3,e_4,e_4)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl0_71
<=> product(e_3,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f523,plain,
( spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(avatar_split_clause,[],[f115,f520,f516,f512,f508,f504]) ).
fof(f115,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_4) ),
inference(resolution,[],[f56,f18]) ).
fof(f497,plain,
~ spl0_66,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f496,plain,
( $false
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f495,f27]) ).
fof(f495,plain,
( equalish(e_2,e_4)
| ~ spl0_66 ),
inference(resolution,[],[f473,f50]) ).
fof(f473,plain,
( product(e_2,e_4,e_4)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl0_66
<=> product(e_2,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f490,plain,
( spl0_66
| spl0_67
| spl0_68
| spl0_69
| spl0_70 ),
inference(avatar_split_clause,[],[f114,f487,f483,f479,f475,f471]) ).
fof(f114,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4) ),
inference(resolution,[],[f56,f17]) ).
fof(f465,plain,
~ spl0_61,
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| ~ spl0_61 ),
inference(subsumption_resolution,[],[f463,f23]) ).
fof(f463,plain,
( equalish(e_1,e_4)
| ~ spl0_61 ),
inference(resolution,[],[f441,f50]) ).
fof(f441,plain,
( product(e_1,e_4,e_4)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl0_61
<=> product(e_1,e_4,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f458,plain,
( spl0_61
| spl0_62
| spl0_63
| spl0_64
| spl0_65 ),
inference(avatar_split_clause,[],[f113,f455,f451,f447,f443,f439]) ).
fof(f113,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4) ),
inference(resolution,[],[f56,f16]) ).
fof(f433,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59
| spl0_60 ),
inference(avatar_split_clause,[],[f112,f430,f426,f422,f418,f414]) ).
fof(f112,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_4) ),
inference(resolution,[],[f55,f20]) ).
fof(f55,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_5)
| product(X0,e_3,e_4) ),
inference(resolution,[],[f41,f18]) ).
fof(f408,plain,
~ spl0_51,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl0_51 ),
inference(subsumption_resolution,[],[f406,f31]) ).
fof(f406,plain,
( equalish(e_3,e_4)
| ~ spl0_51 ),
inference(resolution,[],[f384,f49]) ).
fof(f384,plain,
( product(e_4,e_3,e_4)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl0_51
<=> product(e_4,e_3,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f401,plain,
( spl0_51
| spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(avatar_split_clause,[],[f111,f398,f394,f390,f386,f382]) ).
fof(f111,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4) ),
inference(resolution,[],[f55,f19]) ).
fof(f375,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f109,f372,f368,f364,f360,f356]) ).
fof(f109,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(resolution,[],[f55,f17]) ).
fof(f350,plain,
( spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f108,f347,f343,f339,f335,f331]) ).
fof(f108,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(resolution,[],[f55,f16]) ).
fof(f324,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f107,f321,f317,f313,f309,f305]) ).
fof(f107,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4) ),
inference(resolution,[],[f54,f20]) ).
fof(f54,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_5)
| product(X0,e_2,e_4) ),
inference(resolution,[],[f41,f17]) ).
fof(f299,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl0_31 ),
inference(subsumption_resolution,[],[f297,f27]) ).
fof(f297,plain,
( equalish(e_2,e_4)
| ~ spl0_31 ),
inference(resolution,[],[f275,f49]) ).
fof(f275,plain,
( product(e_4,e_2,e_4)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl0_31
<=> product(e_4,e_2,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f292,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(avatar_split_clause,[],[f106,f289,f285,f281,f277,f273]) ).
fof(f106,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4) ),
inference(resolution,[],[f54,f19]) ).
fof(f267,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f105,f264,f260,f256,f252,f248]) ).
fof(f105,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(resolution,[],[f54,f18]) ).
fof(f242,plain,
( spl0_21
| spl0_22
| spl0_23
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f103,f239,f235,f231,f227,f223]) ).
fof(f103,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(resolution,[],[f54,f16]) ).
fof(f216,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f65,f213,f209,f205,f201,f197]) ).
fof(f65,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4) ),
inference(resolution,[],[f53,f20]) ).
fof(f53,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| product(X0,e_1,e_5)
| product(X0,e_1,e_4) ),
inference(resolution,[],[f41,f16]) ).
fof(f190,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f188,f23]) ).
fof(f188,plain,
( equalish(e_1,e_4)
| ~ spl0_11 ),
inference(resolution,[],[f165,f49]) ).
fof(f165,plain,
( product(e_4,e_1,e_4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_11
<=> product(e_4,e_1,e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f182,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f64,f179,f175,f171,f167,f163]) ).
fof(f64,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_4) ),
inference(resolution,[],[f53,f19]) ).
fof(f156,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f63,f153,f149,f145,f141,f137]) ).
fof(f63,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4) ),
inference(resolution,[],[f53,f18]) ).
fof(f125,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f123,f21]) ).
fof(f123,plain,
( equalish(e_1,e_2)
| ~ spl0_4 ),
inference(resolution,[],[f81,f49]) ).
fof(f81,plain,
( product(e_2,e_1,e_2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_4
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f102,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f101,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f100,f25]) ).
fof(f100,plain,
( equalish(e_2,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f77,f50]) ).
fof(f77,plain,
( product(e_2,e_1,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_3
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f94,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f93,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f92,f13]) ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).
fof(f92,plain,
( ~ greater(e_5,e_3)
| ~ spl0_2 ),
inference(resolution,[],[f87,f2]) ).
fof(f87,plain,
( ! [X0] :
( ~ next(e_2,X0)
| ~ greater(e_5,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f73,f15]) ).
fof(f73,plain,
( product(e_2,e_1,e_5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_2
<=> product(e_2,e_1,e_5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f86,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f62,f83,f79,f75,f71,f67]) ).
fof(f62,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4) ),
inference(resolution,[],[f53,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP125-2.005 : TPTP v8.2.0. Released v1.2.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 04:40:07 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.55/0.72 % (23799)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.72 % (23793)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.72 % (23795)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.72 % (23794)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.72 % (23793)Refutation not found, incomplete strategy% (23793)------------------------------
% 0.55/0.72 % (23793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72 % (23793)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72
% 0.55/0.72 % (23793)Memory used [KB]: 968
% 0.55/0.72 % (23793)Time elapsed: 0.002 s
% 0.55/0.72 % (23793)Instructions burned: 2 (million)
% 0.55/0.72 % (23793)------------------------------
% 0.55/0.72 % (23793)------------------------------
% 0.55/0.73 % (23801)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.73 % (23798)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73 % (23798)Refutation not found, incomplete strategy% (23798)------------------------------
% 0.55/0.73 % (23798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (23798)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (23798)Memory used [KB]: 956
% 0.55/0.73 % (23798)Time elapsed: 0.003 s
% 0.55/0.73 % (23798)Instructions burned: 2 (million)
% 0.55/0.73 % (23798)------------------------------
% 0.55/0.73 % (23798)------------------------------
% 0.55/0.73 % (23801)Refutation not found, incomplete strategy% (23801)------------------------------
% 0.55/0.73 % (23801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (23801)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (23801)Memory used [KB]: 1052
% 0.55/0.73 % (23801)Time elapsed: 0.005 s
% 0.55/0.73 % (23801)Instructions burned: 8 (million)
% 0.55/0.73 % (23796)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73 % (23801)------------------------------
% 0.55/0.73 % (23801)------------------------------
% 0.55/0.73 % (23796)Refutation not found, incomplete strategy% (23796)------------------------------
% 0.55/0.73 % (23796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (23796)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (23796)Memory used [KB]: 972
% 0.55/0.73 % (23796)Time elapsed: 0.002 s
% 0.55/0.73 % (23796)Instructions burned: 2 (million)
% 0.55/0.73 % (23796)------------------------------
% 0.55/0.73 % (23796)------------------------------
% 0.55/0.73 % (23802)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.73 % (23800)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73 % (23800)Refutation not found, incomplete strategy% (23800)------------------------------
% 0.55/0.73 % (23800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (23800)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (23800)Memory used [KB]: 956
% 0.55/0.73 % (23800)Time elapsed: 0.003 s
% 0.55/0.73 % (23800)Instructions burned: 2 (million)
% 0.55/0.74 % (23800)------------------------------
% 0.55/0.74 % (23800)------------------------------
% 0.55/0.74 % (23804)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.74 % (23797)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (23804)Refutation not found, incomplete strategy% (23804)------------------------------
% 0.55/0.74 % (23804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (23804)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (23804)Memory used [KB]: 973
% 0.55/0.74 % (23804)Time elapsed: 0.002 s
% 0.55/0.74 % (23804)Instructions burned: 2 (million)
% 0.55/0.74 % (23804)------------------------------
% 0.55/0.74 % (23804)------------------------------
% 0.55/0.74 % (23805)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.74 % (23806)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 theBenchmark for (2996ds/518Mi)
% 0.55/0.74 % (23807)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 theBenchmark for (2996ds/42Mi)
% 0.55/0.75 % (23799)Instruction limit reached!
% 0.55/0.75 % (23799)------------------------------
% 0.55/0.75 % (23799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (23799)Termination reason: Unknown
% 0.55/0.75 % (23799)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (23799)Memory used [KB]: 1883
% 0.55/0.75 % (23799)Time elapsed: 0.027 s
% 0.55/0.75 % (23799)Instructions burned: 83 (million)
% 0.55/0.75 % (23799)------------------------------
% 0.55/0.75 % (23799)------------------------------
% 0.55/0.75 % (23797)Instruction limit reached!
% 0.55/0.75 % (23797)------------------------------
% 0.55/0.75 % (23797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (23797)Termination reason: Unknown
% 0.55/0.75 % (23797)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (23797)Memory used [KB]: 1157
% 0.55/0.75 % (23797)Time elapsed: 0.017 s
% 0.55/0.75 % (23797)Instructions burned: 35 (million)
% 0.55/0.75 % (23797)------------------------------
% 0.55/0.75 % (23797)------------------------------
% 0.55/0.75 % (23808)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 theBenchmark for (2996ds/243Mi)
% 0.55/0.75 % (23802)Instruction limit reached!
% 0.55/0.75 % (23802)------------------------------
% 0.55/0.75 % (23802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (23802)Termination reason: Unknown
% 0.55/0.75 % (23802)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (23802)Memory used [KB]: 1264
% 0.55/0.75 % (23802)Time elapsed: 0.022 s
% 0.55/0.75 % (23802)Instructions burned: 50 (million)
% 0.55/0.75 % (23802)------------------------------
% 0.55/0.75 % (23802)------------------------------
% 0.55/0.75 % (23794)Instruction limit reached!
% 0.55/0.75 % (23794)------------------------------
% 0.55/0.75 % (23794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (23794)Termination reason: Unknown
% 0.55/0.75 % (23794)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (23794)Memory used [KB]: 1400
% 0.55/0.75 % (23794)Time elapsed: 0.031 s
% 0.55/0.75 % (23794)Instructions burned: 51 (million)
% 0.55/0.75 % (23794)------------------------------
% 0.55/0.75 % (23794)------------------------------
% 0.55/0.75 % (23809)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.55/0.76 % (23810)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 theBenchmark for (2995ds/143Mi)
% 0.55/0.76 % (23811)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 theBenchmark for (2995ds/93Mi)
% 0.55/0.76 % (23807)Instruction limit reached!
% 0.55/0.76 % (23807)------------------------------
% 0.55/0.76 % (23807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (23807)Termination reason: Unknown
% 0.55/0.76 % (23807)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (23807)Memory used [KB]: 1474
% 0.55/0.76 % (23807)Time elapsed: 0.023 s
% 0.55/0.76 % (23807)Instructions burned: 42 (million)
% 0.55/0.76 % (23807)------------------------------
% 0.55/0.76 % (23807)------------------------------
% 0.55/0.76 % (23805)Instruction limit reached!
% 0.55/0.76 % (23805)------------------------------
% 0.55/0.76 % (23805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (23805)Termination reason: Unknown
% 0.55/0.76 % (23805)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (23805)Memory used [KB]: 1397
% 0.55/0.76 % (23805)Time elapsed: 0.029 s
% 0.55/0.76 % (23805)Instructions burned: 52 (million)
% 0.55/0.76 % (23805)------------------------------
% 0.55/0.76 % (23805)------------------------------
% 0.55/0.76 % (23795)Instruction limit reached!
% 0.55/0.76 % (23795)------------------------------
% 0.55/0.76 % (23795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (23795)Termination reason: Unknown
% 0.55/0.76 % (23795)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (23795)Memory used [KB]: 1432
% 0.55/0.76 % (23795)Time elapsed: 0.040 s
% 0.55/0.76 % (23795)Instructions burned: 79 (million)
% 0.55/0.76 % (23795)------------------------------
% 0.55/0.76 % (23795)------------------------------
% 0.55/0.77 % (23814)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 theBenchmark for (2995ds/1919Mi)
% 0.55/0.77 % (23813)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 theBenchmark for (2995ds/32Mi)
% 0.79/0.78 % (23812)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 theBenchmark for (2995ds/62Mi)
% 0.79/0.79 % (23813)Instruction limit reached!
% 0.79/0.79 % (23813)------------------------------
% 0.79/0.79 % (23813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.79 % (23813)Termination reason: Unknown
% 0.79/0.79 % (23813)Termination phase: Saturation
% 0.79/0.79
% 0.79/0.79 % (23813)Memory used [KB]: 1388
% 0.79/0.79 % (23813)Time elapsed: 0.019 s
% 0.79/0.79 % (23813)Instructions burned: 32 (million)
% 0.79/0.79 % (23813)------------------------------
% 0.79/0.79 % (23813)------------------------------
% 0.79/0.79 % (23815)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 theBenchmark for (2995ds/55Mi)
% 0.79/0.79 % (23815)Refutation not found, incomplete strategy% (23815)------------------------------
% 0.79/0.79 % (23815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.79 % (23815)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.79
% 0.79/0.79 % (23815)Memory used [KB]: 977
% 0.79/0.79 % (23815)Time elapsed: 0.002 s
% 0.79/0.79 % (23815)Instructions burned: 3 (million)
% 0.79/0.79 % (23815)------------------------------
% 0.79/0.79 % (23815)------------------------------
% 0.79/0.79 % (23808)First to succeed.
% 0.79/0.79 % (23816)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 theBenchmark for (2995ds/53Mi)
% 0.79/0.79 % (23816)Refutation not found, incomplete strategy% (23816)------------------------------
% 0.79/0.79 % (23816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.79 % (23816)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.79
% 0.79/0.79 % (23816)Memory used [KB]: 959
% 0.79/0.79 % (23816)Time elapsed: 0.002 s
% 0.79/0.79 % (23816)Instructions burned: 2 (million)
% 0.79/0.79 % (23808)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23792"
% 0.79/0.79 % (23816)------------------------------
% 0.79/0.79 % (23816)------------------------------
% 0.79/0.79 % (23808)Refutation found. Thanks to Tanya!
% 0.79/0.79 % SZS status Unsatisfiable for theBenchmark
% 0.79/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.80 % (23808)------------------------------
% 0.79/0.80 % (23808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.80 % (23808)Termination reason: Refutation
% 0.79/0.80
% 0.79/0.80 % (23808)Memory used [KB]: 1481
% 0.79/0.80 % (23808)Time elapsed: 0.043 s
% 0.79/0.80 % (23808)Instructions burned: 144 (million)
% 0.79/0.80 % (23792)Success in time 0.436 s
% 0.79/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------