TSTP Solution File: GRP127-1.004 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP127-1.004 : TPTP v8.1.2. 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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:27:22 EDT 2024
% Result : Unsatisfiable 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 149 ( 24 unt; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 397 ( 172 ~; 206 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 20 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1582,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f185,f242,f300,f357,f465,f610,f825,f874,f1049,f1064,f1068,f1071,f1120,f1128,f1179,f1292,f1354,f1436,f1445,f1579,f1581]) ).
fof(f1581,plain,
( ~ spl0_25
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1523,f73,f1279]) ).
fof(f1279,plain,
( spl0_25
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f73,plain,
( spl0_8
<=> product(e_4,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1523,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f7,f75,f20]) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| ~ product(X3,X1,X0)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',product_left_cancellation) ).
fof(f75,plain,
( product(e_4,e_2,e_3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_1_is_not_e_4) ).
fof(f1579,plain,
( ~ spl0_3
| spl0_24
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1578,plain,
( $false
| ~ spl0_3
| spl0_24
| spl0_25 ),
inference(subsumption_resolution,[],[f1576,f1575]) ).
fof(f1575,plain,
( ~ product(e_1,e_2,e_1)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f21,f1468,f22]) ).
fof(f22,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X4)
| ~ product(X4,X1,X5)
| product(X5,X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',qg3) ).
fof(f1468,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f7,f54,f20]) ).
fof(f54,plain,
( product(e_4,e_1,e_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_3
<=> product(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f21,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',product_idempotence) ).
fof(f1576,plain,
( product(e_1,e_2,e_1)
| ~ spl0_3
| spl0_24
| spl0_25 ),
inference(unit_resulting_resolution,[],[f1,f2,f1276,f1280,f54,f1469,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ product(e_4,X0,X1)
| product(X1,X0,X2)
| product(X0,X2,e_3)
| product(X0,X2,e_2)
| product(X0,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X0) ),
inference(resolution,[],[f22,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',product_total_function1) ).
fof(f1469,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f10,f54,f20]) ).
fof(f10,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_2_is_not_e_4) ).
fof(f1280,plain,
( ~ product(e_1,e_2,e_3)
| spl0_25 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1276,plain,
( ~ product(e_1,e_2,e_2)
| spl0_24 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1275,plain,
( spl0_24
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',element_2) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',element_1) ).
fof(f1445,plain,
( spl0_3
| spl0_4
| spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1444,f48,f44,f56,f52]) ).
fof(f56,plain,
( spl0_4
<=> product(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f44,plain,
( spl0_1
<=> product(e_4,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f48,plain,
( spl0_2
<=> product(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1444,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f1443,f4]) ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',element_4) ).
fof(f1443,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ group_element(e_4)
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f1442,f1]) ).
fof(f1442,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ group_element(e_1)
| ~ group_element(e_4)
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f1295,f49]) ).
fof(f49,plain,
( ~ product(e_4,e_1,e_1)
| spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f1295,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4)
| spl0_1 ),
inference(resolution,[],[f1196,f17]) ).
fof(f1196,plain,
( ~ product(e_4,e_1,e_4)
| spl0_1 ),
inference(unit_resulting_resolution,[],[f21,f45,f22]) ).
fof(f45,plain,
( ~ product(e_4,e_4,e_1)
| spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f1436,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1435,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f1425,f1006]) ).
fof(f1006,plain,
( ~ product(e_3,e_2,e_4)
| ~ spl0_11 ),
inference(unit_resulting_resolution,[],[f88,f945,f22]) ).
fof(f945,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_11 ),
inference(unit_resulting_resolution,[],[f10,f88,f20]) ).
fof(f88,plain,
( product(e_4,e_3,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_11
<=> product(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1425,plain,
( product(e_3,e_2,e_4)
| ~ spl0_15
| ~ spl0_25 ),
inference(unit_resulting_resolution,[],[f1281,f453,f22]) ).
fof(f453,plain,
( product(e_2,e_4,e_1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl0_15
<=> product(e_2,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1281,plain,
( product(e_1,e_2,e_3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1354,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1353,plain,
( $false
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1324,f21]) ).
fof(f1324,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_24 ),
inference(unit_resulting_resolution,[],[f5,f1277,f20]) ).
fof(f1277,plain,
( product(e_1,e_2,e_2)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_1_is_not_e_2) ).
fof(f1292,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_11
| spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f1286,f982,f978,f86,f65,f1279]) ).
fof(f65,plain,
( spl0_6
<=> product(e_4,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f978,plain,
( spl0_20
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f982,plain,
( spl0_21
<=> product(e_2,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1286,plain,
( product(e_1,e_2,e_3)
| ~ spl0_6
| ~ spl0_11
| spl0_20
| spl0_21 ),
inference(unit_resulting_resolution,[],[f2,f3,f67,f979,f945,f983,f25]) ).
fof(f983,plain,
( ~ product(e_2,e_3,e_3)
| spl0_21 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f979,plain,
( ~ product(e_2,e_3,e_1)
| spl0_20 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f67,plain,
( product(e_4,e_2,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',element_3) ).
fof(f1179,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1178,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1132,f21]) ).
fof(f1132,plain,
( ~ product(e_4,e_4,e_4)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f7,f46,f18]) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',product_total_function2) ).
fof(f46,plain,
( product(e_4,e_4,e_1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f1128,plain,
( spl0_6
| spl0_8
| spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f1127,f69,f61,f73,f65]) ).
fof(f61,plain,
( spl0_5
<=> product(e_4,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f69,plain,
( spl0_7
<=> product(e_4,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1127,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| spl0_5
| spl0_7 ),
inference(subsumption_resolution,[],[f1126,f4]) ).
fof(f1126,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| ~ group_element(e_4)
| spl0_5
| spl0_7 ),
inference(subsumption_resolution,[],[f1125,f2]) ).
fof(f1125,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4)
| spl0_5
| spl0_7 ),
inference(subsumption_resolution,[],[f964,f70]) ).
fof(f70,plain,
( ~ product(e_4,e_2,e_2)
| spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f964,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4)
| spl0_5 ),
inference(resolution,[],[f882,f17]) ).
fof(f882,plain,
( ~ product(e_4,e_2,e_4)
| spl0_5 ),
inference(unit_resulting_resolution,[],[f21,f62,f22]) ).
fof(f62,plain,
( ~ product(e_4,e_4,e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f1120,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f1091,f21]) ).
fof(f1091,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_21 ),
inference(unit_resulting_resolution,[],[f9,f984,f20]) ).
fof(f984,plain,
( product(e_2,e_3,e_3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_2_is_not_e_3) ).
fof(f1071,plain,
( ~ spl0_4
| spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl0_4
| spl0_15
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1069,f601]) ).
fof(f601,plain,
( product(e_3,e_4,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl0_19
<=> product(e_3,e_4,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1069,plain,
( ~ product(e_3,e_4,e_2)
| ~ spl0_4
| spl0_15 ),
inference(unit_resulting_resolution,[],[f58,f452,f22]) ).
fof(f452,plain,
( ~ product(e_2,e_4,e_1)
| spl0_15 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f58,plain,
( product(e_4,e_1,e_3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f1068,plain,
( spl0_18
| spl0_19
| spl0_1
| ~ spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f1067,f90,f56,f44,f599,f595]) ).
fof(f595,plain,
( spl0_18
<=> product(e_3,e_4,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f90,plain,
( spl0_12
<=> product(e_4,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1067,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| spl0_1
| ~ spl0_4
| spl0_12 ),
inference(subsumption_resolution,[],[f1066,f3]) ).
fof(f1066,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_3)
| spl0_1
| ~ spl0_4
| spl0_12 ),
inference(subsumption_resolution,[],[f1065,f4]) ).
fof(f1065,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3)
| spl0_1
| ~ spl0_4
| spl0_12 ),
inference(subsumption_resolution,[],[f962,f582]) ).
fof(f582,plain,
( ~ product(e_3,e_4,e_3)
| spl0_12 ),
inference(unit_resulting_resolution,[],[f21,f433,f22]) ).
fof(f433,plain,
( ~ product(e_3,e_3,e_4)
| spl0_12 ),
inference(unit_resulting_resolution,[],[f21,f91,f22]) ).
fof(f91,plain,
( ~ product(e_4,e_3,e_3)
| spl0_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f962,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3)
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f775,f17]) ).
fof(f775,plain,
( ~ product(e_3,e_4,e_4)
| spl0_1
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f45,f58,f22]) ).
fof(f1064,plain,
( ~ spl0_18
| spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1061,f56,f48,f595]) ).
fof(f1061,plain,
( ~ product(e_3,e_4,e_1)
| spl0_2
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f58,f434,f22]) ).
fof(f434,plain,
( ~ product(e_1,e_4,e_1)
| spl0_2 ),
inference(unit_resulting_resolution,[],[f21,f149,f22]) ).
fof(f149,plain,
( ~ product(e_1,e_1,e_4)
| spl0_2 ),
inference(unit_resulting_resolution,[],[f21,f49,f22]) ).
fof(f1049,plain,
( ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1026,f978,f451]) ).
fof(f1026,plain,
( ~ product(e_2,e_4,e_1)
| ~ spl0_20 ),
inference(unit_resulting_resolution,[],[f16,f980,f19]) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X1)
| ~ product(X0,X3,X1)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',product_right_cancellation) ).
fof(f980,plain,
( product(e_2,e_3,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f16,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_4_is_not_e_3) ).
fof(f874,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f873]) ).
fof(f873,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f829,f21]) ).
fof(f829,plain,
( ~ product(e_4,e_4,e_4)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f10,f63,f18]) ).
fof(f63,plain,
( product(e_4,e_4,e_2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f825,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f824,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f799,f21]) ).
fof(f799,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f15,f71,f20]) ).
fof(f71,plain,
( product(e_4,e_2,e_2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f15,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_4_is_not_e_2) ).
fof(f610,plain,
( spl0_10
| spl0_11
| spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f609,f90,f78,f86,f82]) ).
fof(f82,plain,
( spl0_10
<=> product(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f78,plain,
( spl0_9
<=> product(e_4,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f609,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| spl0_9
| spl0_12 ),
inference(subsumption_resolution,[],[f608,f4]) ).
fof(f608,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_4)
| spl0_9
| spl0_12 ),
inference(subsumption_resolution,[],[f607,f3]) ).
fof(f607,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4)
| spl0_9
| spl0_12 ),
inference(subsumption_resolution,[],[f581,f91]) ).
fof(f581,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4)
| spl0_9 ),
inference(resolution,[],[f309,f17]) ).
fof(f309,plain,
( ~ product(e_4,e_3,e_4)
| spl0_9 ),
inference(unit_resulting_resolution,[],[f21,f79,f22]) ).
fof(f79,plain,
( ~ product(e_4,e_4,e_3)
| spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f465,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f379,f73,f56]) ).
fof(f379,plain,
( ~ product(e_4,e_1,e_3)
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f5,f75,f19]) ).
fof(f357,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f332,f21]) ).
fof(f332,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_12 ),
inference(unit_resulting_resolution,[],[f16,f92,f20]) ).
fof(f92,plain,
( product(e_4,e_3,e_3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f300,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f253,f21]) ).
fof(f253,plain,
( ~ product(e_4,e_4,e_4)
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f13,f80,f18]) ).
fof(f80,plain,
( product(e_4,e_4,e_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_3_is_not_e_4) ).
fof(f242,plain,
( ~ spl0_10
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f216,f65,f82]) ).
fof(f216,plain,
( ~ product(e_4,e_3,e_1)
| ~ spl0_6 ),
inference(unit_resulting_resolution,[],[f12,f67,f19]) ).
fof(f12,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_3_is_not_e_2) ).
fof(f185,plain,
( ~ spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f159,f52,f86]) ).
fof(f159,plain,
( ~ product(e_4,e_3,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f6,f54,f19]) ).
fof(f6,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_1_is_not_e_3) ).
fof(f136,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f135,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f110,f21]) ).
fof(f110,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f14,f50,f20]) ).
fof(f50,plain,
( product(e_4,e_1,e_1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f14,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/tmp/tmp.KSIom96jac/Vampire---4.8_16501',e_4_is_not_e_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP127-1.004 : TPTP v8.1.2. Released v1.2.0.
% 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 : n025.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 : Tue Apr 30 18:37:56 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_EPR_NEQ_NHN 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.KSIom96jac/Vampire---4.8_16501
% 0.57/0.74 % (16762)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)
% 0.57/0.74 % (16763)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)
% 0.57/0.74 % (16756)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)
% 0.57/0.74 % (16757)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)
% 0.57/0.74 % (16759)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)
% 0.57/0.74 % (16758)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (16761)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)
% 0.57/0.74 % (16760)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)
% 0.57/0.74 % (16763)Refutation not found, incomplete strategy% (16763)------------------------------
% 0.57/0.74 % (16763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (16763)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16763)Memory used [KB]: 949
% 0.57/0.74 % (16763)Time elapsed: 0.002 s
% 0.57/0.74 % (16763)Instructions burned: 2 (million)
% 0.57/0.74 % (16763)------------------------------
% 0.57/0.74 % (16763)------------------------------
% 0.57/0.74 % (16756)Refutation not found, incomplete strategy% (16756)------------------------------
% 0.57/0.74 % (16756)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (16756)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16756)Memory used [KB]: 962
% 0.57/0.74 % (16756)Time elapsed: 0.002 s
% 0.57/0.74 % (16756)Instructions burned: 2 (million)
% 0.57/0.74 % (16756)------------------------------
% 0.57/0.74 % (16756)------------------------------
% 0.57/0.74 % (16761)Refutation not found, incomplete strategy% (16761)------------------------------
% 0.57/0.74 % (16761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (16761)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16759)Refutation not found, incomplete strategy% (16759)------------------------------
% 0.57/0.74 % (16759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (16759)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (16759)Memory used [KB]: 965
% 0.57/0.74 % (16759)Time elapsed: 0.002 s
% 0.57/0.74 % (16759)Instructions burned: 2 (million)
% 0.57/0.74 % (16759)------------------------------
% 0.57/0.74 % (16759)------------------------------
% 0.57/0.74 % (16761)Memory used [KB]: 949
% 0.57/0.74 % (16761)Time elapsed: 0.002 s
% 0.57/0.74 % (16761)Instructions burned: 2 (million)
% 0.57/0.74 % (16761)------------------------------
% 0.57/0.74 % (16761)------------------------------
% 0.57/0.75 % (16764)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)
% 0.57/0.75 % (16765)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)
% 0.57/0.75 % (16766)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)
% 0.57/0.75 % (16767)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)
% 0.57/0.75 % (16766)Refutation not found, incomplete strategy% (16766)------------------------------
% 0.57/0.75 % (16766)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (16766)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (16766)Memory used [KB]: 966
% 0.57/0.75 % (16766)Time elapsed: 0.003 s
% 0.57/0.75 % (16766)Instructions burned: 2 (million)
% 0.57/0.75 % (16766)------------------------------
% 0.57/0.75 % (16766)------------------------------
% 0.57/0.75 % (16764)Refutation not found, incomplete strategy% (16764)------------------------------
% 0.57/0.75 % (16764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (16764)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (16764)Memory used [KB]: 972
% 0.57/0.75 % (16764)Time elapsed: 0.004 s
% 0.57/0.75 % (16764)Instructions burned: 4 (million)
% 0.57/0.75 % (16764)------------------------------
% 0.57/0.75 % (16764)------------------------------
% 0.57/0.75 % (16768)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)
% 0.60/0.75 % (16769)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)
% 0.60/0.76 % (16762)First to succeed.
% 0.60/0.76 % (16760)Instruction limit reached!
% 0.60/0.76 % (16760)------------------------------
% 0.60/0.76 % (16760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (16760)Termination reason: Unknown
% 0.60/0.76 % (16760)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (16760)Memory used [KB]: 1204
% 0.60/0.76 % (16760)Time elapsed: 0.017 s
% 0.60/0.76 % (16760)Instructions burned: 35 (million)
% 0.60/0.76 % (16760)------------------------------
% 0.60/0.76 % (16760)------------------------------
% 0.60/0.76 % (16762)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (16762)------------------------------
% 0.60/0.76 % (16762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (16762)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (16762)Memory used [KB]: 1294
% 0.60/0.76 % (16762)Time elapsed: 0.018 s
% 0.60/0.76 % (16762)Instructions burned: 54 (million)
% 0.60/0.76 % (16762)------------------------------
% 0.60/0.76 % (16762)------------------------------
% 0.60/0.76 % (16751)Success in time 0.389 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------