TSTP Solution File: GRP126-3.004 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP126-3.004 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:46:08 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 54
% Syntax : Number of formulae : 167 ( 30 unt; 0 def)
% Number of atoms : 437 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 489 ( 219 ~; 248 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 18 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1123,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f218,f280,f287,f316,f394,f447,f461,f596,f620,f625,f629,f682,f748,f849,f905,f956,f1005,f1122]) ).
fof(f1122,plain,
( spl5_21
| ~ spl5_40 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| spl5_21
| ~ spl5_40 ),
inference(subsumption_resolution,[],[f1113,f17]) ).
fof(f17,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',cycle3) ).
fof(f1113,plain,
( ~ cycle(e_4,e_0)
| spl5_21
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f4,f1099,f46]) ).
fof(f46,plain,
! [X3,X1,X5] :
( sP1(X5,X1)
| ~ cycle(X3,X5)
| ~ next(X1,X3) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
! [X1,X5] :
( ! [X3] :
( ~ cycle(X3,X5)
| ~ next(X1,X3) )
<=> ~ sP1(X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1099,plain,
( ~ sP1(e_0,e_3)
| spl5_21
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f5,f389,f1089,f49]) ).
fof(f49,plain,
! [X1,X4,X5] :
( ~ sP2(X4,X1)
| ~ cycle(X1,e_0)
| ~ sP1(X5,X1)
| ~ greater(X4,X5) ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f48,plain,
! [X0,X1,X4] :
( sP2(X4,X1)
| ~ cycle(X0,X4)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
! [X1,X4] :
( ! [X0] :
( ~ cycle(X0,X4)
| ~ greater(X1,X0) )
<=> ~ sP2(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f47,plain,
! [X0,X1,X4,X5] :
( ~ greater(X4,X5)
| ~ greater(X1,X0)
| ~ cycle(X1,e_0)
| ~ cycle(X0,X4)
| ~ sP1(X5,X1) ),
inference(general_splitting,[],[f19,f46_D]) ).
fof(f19,axiom,
! [X3,X0,X1,X4,X5] :
( ~ greater(X4,X5)
| ~ greater(X1,X0)
| ~ next(X1,X3)
| ~ cycle(X3,X5)
| ~ cycle(X1,e_0)
| ~ cycle(X0,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',cycle5) ).
fof(f1089,plain,
( sP2(e_1,e_3)
| spl5_21
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f12,f1076,f48]) ).
fof(f1076,plain,
( cycle(e_2,e_1)
| spl5_21
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f23,f227,f1072,f1073,f16]) ).
fof(f16,axiom,
! [X0] :
( cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| cycle(X0,e_0)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',cycle2) ).
fof(f1073,plain,
( ~ cycle(e_2,e_3)
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f32,f7,f1070,f53]) ).
fof(f53,plain,
! [X0,X1,X4] :
( ~ sP4(X4,X0)
| ~ greater(X1,e_0)
| ~ cycle(X0,X1)
| equalish(X1,X4) ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f52,plain,
! [X3,X0,X4] :
( sP4(X4,X0)
| ~ sP3(X4,X3)
| ~ next(X0,X3) ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
! [X0,X4] :
( ! [X3] :
( ~ sP3(X4,X3)
| ~ next(X0,X3) )
<=> ~ sP4(X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f51,plain,
! [X3,X0,X1,X4] :
( equalish(X1,X4)
| ~ greater(X1,e_0)
| ~ next(X0,X3)
| ~ cycle(X0,X1)
| ~ sP3(X4,X3) ),
inference(general_splitting,[],[f18,f50_D]) ).
fof(f50,plain,
! [X2,X3,X4] :
( sP3(X4,X3)
| ~ cycle(X3,X2)
| ~ next(X2,X4) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
! [X3,X4] :
( ! [X2] :
( ~ cycle(X3,X2)
| ~ next(X2,X4) )
<=> ~ sP3(X4,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X4] :
( equalish(X1,X4)
| ~ next(X2,X4)
| ~ greater(X1,e_0)
| ~ next(X0,X3)
| ~ cycle(X3,X2)
| ~ cycle(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',cycle4) ).
fof(f1070,plain,
( sP4(e_1,e_2)
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f3,f1026,f52]) ).
fof(f1026,plain,
( sP3(e_1,e_3)
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f1,f389,f50]) ).
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_0_then_e_1) ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_2_then_e_3) ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_3_greater_e_0) ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_3_is_not_e_1) ).
fof(f1072,plain,
( ~ cycle(e_2,e_2)
| ~ spl5_40 ),
inference(unit_resulting_resolution,[],[f29,f6,f1070,f53]) ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_2_greater_e_0) ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_2_is_not_e_1) ).
fof(f227,plain,
( ~ cycle(e_2,e_0)
| spl5_21 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl5_21
<=> cycle(e_2,e_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',element_2) ).
fof(f12,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_3_greater_e_2) ).
fof(f389,plain,
( cycle(e_3,e_0)
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl5_40
<=> cycle(e_3,e_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f5,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_1_greater_e_0) ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_3_then_e_4) ).
fof(f1005,plain,
( ~ spl5_9
| spl5_40 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl5_9
| spl5_40 ),
inference(subsumption_resolution,[],[f1003,f1001]) ).
fof(f1001,plain,
( ~ cycle(e_3,e_3)
| ~ spl5_9 ),
inference(unit_resulting_resolution,[],[f7,f965,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ cycle(X0,X1)
| ~ greater(X1,e_0)
| sP0(X0) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
! [X0] :
( ! [X1] :
( ~ cycle(X0,X1)
| ~ greater(X1,e_0) )
<=> ~ sP0(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f965,plain,
( ~ sP0(e_3)
| ~ spl5_9 ),
inference(unit_resulting_resolution,[],[f31,f4,f118,f45]) ).
fof(f45,plain,
! [X2,X0,X6] :
( ~ product(X0,e_1,X2)
| ~ next(X0,X6)
| equalish(X2,X6)
| ~ sP0(X0) ),
inference(general_splitting,[],[f21,f44_D]) ).
fof(f21,axiom,
! [X2,X0,X1,X6] :
( equalish(X2,X6)
| ~ next(X0,X6)
| ~ greater(X1,e_0)
| ~ product(X0,e_1,X2)
| ~ cycle(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',cycle7) ).
fof(f118,plain,
( product(e_3,e_1,e_2)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl5_9
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_2_is_not_e_4) ).
fof(f1003,plain,
( cycle(e_3,e_3)
| ~ spl5_9
| spl5_40 ),
inference(unit_resulting_resolution,[],[f24,f390,f999,f1000,f16]) ).
fof(f1000,plain,
( ~ cycle(e_3,e_2)
| ~ spl5_9 ),
inference(unit_resulting_resolution,[],[f6,f965,f44]) ).
fof(f999,plain,
( ~ cycle(e_3,e_1)
| ~ spl5_9 ),
inference(unit_resulting_resolution,[],[f5,f965,f44]) ).
fof(f390,plain,
( ~ cycle(e_3,e_0)
| spl5_40 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',element_3) ).
fof(f956,plain,
( ~ spl5_14
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f955,plain,
( $false
| ~ spl5_14
| ~ spl5_27 ),
inference(subsumption_resolution,[],[f935,f301]) ).
fof(f301,plain,
( product(e_4,e_3,e_2)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl5_27
<=> product(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f935,plain,
( ~ product(e_4,e_3,e_2)
| ~ spl5_14 ),
inference(unit_resulting_resolution,[],[f28,f138,f41]) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',product_left_cancellation) ).
fof(f138,plain,
( product(e_1,e_3,e_2)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl5_14
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_1_is_not_e_4) ).
fof(f905,plain,
~ spl5_13,
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f904,plain,
( $false
| ~ spl5_13 ),
inference(subsumption_resolution,[],[f864,f42]) ).
fof(f42,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',product_idempotence) ).
fof(f864,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl5_13 ),
inference(unit_resulting_resolution,[],[f32,f134,f40]) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| ~ product(X0,X2,X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',product_right_cancellation) ).
fof(f134,plain,
( product(e_1,e_3,e_1)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl5_13
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f849,plain,
~ spl5_12,
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| ~ spl5_12 ),
inference(subsumption_resolution,[],[f818,f42]) ).
fof(f818,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl5_12 ),
inference(unit_resulting_resolution,[],[f27,f130,f41]) ).
fof(f130,plain,
( product(e_1,e_3,e_3)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl5_12
<=> product(e_1,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_1_is_not_e_3) ).
fof(f748,plain,
~ spl5_11,
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl5_11 ),
inference(subsumption_resolution,[],[f693,f42]) ).
fof(f693,plain,
( ~ product(e_4,e_4,e_4)
| ~ spl5_11 ),
inference(unit_resulting_resolution,[],[f34,f126,f39]) ).
fof(f39,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',product_total_function2) ).
fof(f126,plain,
( product(e_4,e_4,e_3)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl5_11
<=> product(e_4,e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_3_is_not_e_4) ).
fof(f682,plain,
~ spl5_7,
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f681,plain,
( $false
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f650,f42]) ).
fof(f650,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl5_7 ),
inference(unit_resulting_resolution,[],[f26,f109,f41]) ).
fof(f109,plain,
( product(e_1,e_2,e_2)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl5_7
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_1_is_not_e_2) ).
fof(f629,plain,
( spl5_6
| spl5_7
| spl5_27
| ~ spl5_3
| spl5_5 ),
inference(avatar_split_clause,[],[f628,f99,f91,f299,f107,f103]) ).
fof(f103,plain,
( spl5_6
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f91,plain,
( spl5_3
<=> product(e_2,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f99,plain,
( spl5_5
<=> product(e_1,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f628,plain,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ spl5_3
| spl5_5 ),
inference(subsumption_resolution,[],[f627,f22]) ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',element_1) ).
fof(f627,plain,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_1)
| ~ spl5_3
| spl5_5 ),
inference(subsumption_resolution,[],[f626,f23]) ).
fof(f626,plain,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1)
| ~ spl5_3
| spl5_5 ),
inference(subsumption_resolution,[],[f493,f100]) ).
fof(f100,plain,
( ~ product(e_1,e_2,e_3)
| spl5_5 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f493,plain,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1)
| ~ spl5_3 ),
inference(resolution,[],[f93,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(e_4,X2,X0)
| product(X1,X0,e_3)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
inference(resolution,[],[f43,f38]) ).
fof(f38,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/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',product_total_function1) ).
fof(f43,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X1,X0,X5)
| product(X4,X5,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',qg4) ).
fof(f93,plain,
( product(e_2,e_1,e_3)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f625,plain,
( ~ spl5_6
| ~ spl5_3
| spl5_8 ),
inference(avatar_split_clause,[],[f613,f112,f91,f103]) ).
fof(f112,plain,
( spl5_8
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f613,plain,
( ~ product(e_1,e_2,e_1)
| ~ spl5_3
| spl5_8 ),
inference(unit_resulting_resolution,[],[f93,f113,f43]) ).
fof(f113,plain,
( ~ product(e_3,e_1,e_1)
| spl5_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f620,plain,
( ~ spl5_3
| ~ spl5_5
| spl5_10 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| ~ spl5_3
| ~ spl5_5
| spl5_10 ),
inference(subsumption_resolution,[],[f615,f527]) ).
fof(f527,plain,
( product(e_3,e_3,e_1)
| ~ spl5_3
| ~ spl5_5 ),
inference(unit_resulting_resolution,[],[f93,f101,f43]) ).
fof(f101,plain,
( product(e_1,e_2,e_3)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f615,plain,
( ~ product(e_3,e_3,e_1)
| spl5_10 ),
inference(unit_resulting_resolution,[],[f121,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| product(X0,X1,X0) ),
inference(resolution,[],[f43,f42]) ).
fof(f121,plain,
( ~ product(e_3,e_1,e_3)
| spl5_10 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl5_10
<=> product(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f596,plain,
~ spl5_8,
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl5_8 ),
inference(subsumption_resolution,[],[f567,f42]) ).
fof(f567,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl5_8 ),
inference(unit_resulting_resolution,[],[f32,f114,f41]) ).
fof(f114,plain,
( product(e_3,e_1,e_1)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f461,plain,
( spl5_1
| spl5_2
| spl5_3
| ~ spl5_25 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| spl5_1
| spl5_2
| spl5_3
| ~ spl5_25 ),
inference(subsumption_resolution,[],[f458,f457]) ).
fof(f457,plain,
( ~ product(e_2,e_1,e_4)
| ~ spl5_25 ),
inference(unit_resulting_resolution,[],[f37,f3,f290,f45]) ).
fof(f290,plain,
( sP0(e_2)
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl5_25
<=> sP0(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_4_is_not_e_3) ).
fof(f458,plain,
( product(e_2,e_1,e_4)
| spl5_1
| spl5_2
| spl5_3 ),
inference(unit_resulting_resolution,[],[f23,f22,f88,f92,f84,f38]) ).
fof(f84,plain,
( ~ product(e_2,e_1,e_1)
| spl5_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl5_1
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f92,plain,
( ~ product(e_2,e_1,e_3)
| spl5_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f88,plain,
( ~ product(e_2,e_1,e_2)
| spl5_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl5_2
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f447,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f416,f42]) ).
fof(f416,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f29,f85,f41]) ).
fof(f85,plain,
( product(e_2,e_1,e_1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f394,plain,
( spl5_1
| spl5_2
| spl5_3
| ~ spl5_21 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl5_1
| spl5_2
| spl5_3
| ~ spl5_21 ),
inference(subsumption_resolution,[],[f392,f317]) ).
fof(f317,plain,
( ~ product(e_2,e_1,e_4)
| ~ spl5_21 ),
inference(unit_resulting_resolution,[],[f13,f226,f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ greater(X1,X0)
| ~ cycle(X0,e_0) ),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',cycle6) ).
fof(f226,plain,
( cycle(e_2,e_0)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_4_greater_e_2) ).
fof(f392,plain,
( product(e_2,e_1,e_4)
| spl5_1
| spl5_2
| spl5_3 ),
inference(unit_resulting_resolution,[],[f23,f22,f84,f88,f92,f38]) ).
fof(f316,plain,
( spl5_21
| spl5_25 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| spl5_21
| spl5_25 ),
inference(subsumption_resolution,[],[f314,f305]) ).
fof(f305,plain,
( ~ cycle(e_2,e_3)
| spl5_25 ),
inference(unit_resulting_resolution,[],[f7,f291,f44]) ).
fof(f291,plain,
( ~ sP0(e_2)
| spl5_25 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f314,plain,
( cycle(e_2,e_3)
| spl5_21
| spl5_25 ),
inference(unit_resulting_resolution,[],[f23,f227,f303,f304,f16]) ).
fof(f304,plain,
( ~ cycle(e_2,e_2)
| spl5_25 ),
inference(unit_resulting_resolution,[],[f6,f291,f44]) ).
fof(f303,plain,
( ~ cycle(e_2,e_1)
| spl5_25 ),
inference(unit_resulting_resolution,[],[f5,f291,f44]) ).
fof(f287,plain,
( ~ spl5_21
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f286,f91,f225]) ).
fof(f286,plain,
( ~ cycle(e_2,e_0)
| ~ spl5_3 ),
inference(subsumption_resolution,[],[f272,f12]) ).
fof(f272,plain,
( ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0)
| ~ spl5_3 ),
inference(resolution,[],[f93,f20]) ).
fof(f280,plain,
( ~ spl5_10
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f265,f91,f120]) ).
fof(f265,plain,
( ~ product(e_3,e_1,e_3)
| ~ spl5_3 ),
inference(unit_resulting_resolution,[],[f30,f93,f41]) ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763',e_2_is_not_e_3) ).
fof(f218,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f217,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f181,f42]) ).
fof(f181,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f26,f89,f40]) ).
fof(f89,plain,
( product(e_2,e_1,e_2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f139,plain,
( spl5_8
| spl5_9
| spl5_10
| spl5_11
| spl5_12
| spl5_13
| spl5_14 ),
inference(avatar_split_clause,[],[f79,f136,f132,f128,f124,f120,f116,f112]) ).
fof(f79,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[],[f73,f24]) ).
fof(f73,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| product(e_1,X0,e_3)
| product(e_4,e_4,X0)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[],[f67,f22]) ).
fof(f67,plain,
! [X0,X1] :
( ~ group_element(X1)
| product(X1,X0,e_3)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| product(e_4,e_4,X0)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( product(e_4,e_4,X0)
| product(X1,X0,e_3)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(resolution,[],[f56,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:42:08 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.IAXKlCOLk1/Vampire---4.8_4763
% 0.60/0.77 % (5115)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)
% 0.60/0.77 % (5115)Refutation not found, incomplete strategy% (5115)------------------------------
% 0.60/0.77 % (5115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5115)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5115)Memory used [KB]: 958
% 0.60/0.77 % (5115)Time elapsed: 0.001 s
% 0.60/0.77 % (5115)Instructions burned: 2 (million)
% 0.60/0.77 % (5115)------------------------------
% 0.60/0.77 % (5115)------------------------------
% 0.60/0.77 % (5107)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)
% 0.60/0.77 % (5108)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)
% 0.60/0.77 % (5111)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)
% 0.60/0.77 % (5110)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)
% 0.60/0.77 % (5109)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77 % (5112)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)
% 0.60/0.77 % (5113)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)
% 0.60/0.77 % (5112)Refutation not found, incomplete strategy% (5112)------------------------------
% 0.60/0.77 % (5112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5107)Refutation not found, incomplete strategy% (5107)------------------------------
% 0.60/0.77 % (5107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5107)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5107)Memory used [KB]: 970
% 0.60/0.77 % (5107)Time elapsed: 0.002 s
% 0.60/0.77 % (5107)Instructions burned: 2 (million)
% 0.60/0.77 % (5112)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5112)Memory used [KB]: 958
% 0.60/0.77 % (5110)Refutation not found, incomplete strategy% (5110)------------------------------
% 0.60/0.77 % (5110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5112)Time elapsed: 0.002 s
% 0.60/0.77 % (5112)Instructions burned: 2 (million)
% 0.60/0.77 % (5110)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5110)Memory used [KB]: 974
% 0.60/0.77 % (5110)Time elapsed: 0.002 s
% 0.60/0.77 % (5110)Instructions burned: 2 (million)
% 0.60/0.77 % (5107)------------------------------
% 0.60/0.77 % (5107)------------------------------
% 0.60/0.77 % (5112)------------------------------
% 0.60/0.77 % (5112)------------------------------
% 0.60/0.77 % (5110)------------------------------
% 0.60/0.77 % (5110)------------------------------
% 0.60/0.77 % (5118)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)
% 0.60/0.77 % (5118)Refutation not found, incomplete strategy% (5118)------------------------------
% 0.60/0.77 % (5118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5118)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5118)Memory used [KB]: 1050
% 0.60/0.77 % (5118)Time elapsed: 0.003 s
% 0.60/0.77 % (5118)Instructions burned: 7 (million)
% 0.60/0.77 % (5118)------------------------------
% 0.60/0.77 % (5118)------------------------------
% 0.60/0.78 % (5119)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)
% 0.60/0.78 % (5120)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)
% 0.60/0.78 % (5121)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)
% 0.60/0.78 % (5120)Refutation not found, incomplete strategy% (5120)------------------------------
% 0.60/0.78 % (5120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (5120)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (5120)Memory used [KB]: 974
% 0.60/0.78 % (5120)Time elapsed: 0.003 s
% 0.60/0.78 % (5120)Instructions burned: 2 (million)
% 0.60/0.78 % (5120)------------------------------
% 0.60/0.78 % (5120)------------------------------
% 0.60/0.78 % (5122)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)
% 0.60/0.78 % (5123)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)
% 0.60/0.79 % (5111)Instruction limit reached!
% 0.60/0.79 % (5111)------------------------------
% 0.60/0.79 % (5111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (5111)Termination reason: Unknown
% 0.60/0.79 % (5111)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (5111)Memory used [KB]: 1187
% 0.60/0.79 % (5111)Time elapsed: 0.017 s
% 0.60/0.79 % (5111)Instructions burned: 35 (million)
% 0.60/0.79 % (5111)------------------------------
% 0.60/0.79 % (5111)------------------------------
% 0.60/0.79 % (5113)First to succeed.
% 0.60/0.79 % (5113)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4931"
% 0.60/0.79 % (5108)Also succeeded, but the first one will report.
% 0.60/0.79 % (5113)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (5113)------------------------------
% 0.60/0.79 % (5113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (5113)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (5113)Memory used [KB]: 1321
% 0.60/0.79 % (5113)Time elapsed: 0.019 s
% 0.60/0.79 % (5113)Instructions burned: 31 (million)
% 0.60/0.79 % (4931)Success in time 0.405 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------