TSTP Solution File: GRP134-2.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP134-2.003 : 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:46:23 EDT 2024
% Result : Unsatisfiable 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 151 ( 9 unt; 0 def)
% Number of atoms : 476 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 535 ( 210 ~; 310 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 16 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f682,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f106,f107,f110,f111,f117,f154,f212,f214,f226,f278,f286,f288,f295,f366,f370,f432,f434,f438,f440,f441,f450,f452,f454,f456,f490,f591,f644,f646,f649,f652,f681]) ).
fof(f681,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f680,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| spl0_16 ),
inference(subsumption_resolution,[],[f673,f148]) ).
fof(f148,plain,
( ~ product(e_2,e_2,e_2)
| spl0_16 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl0_16
<=> product(e_2,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f673,plain,
( product(e_2,e_2,e_2)
| ~ spl0_5
| ~ spl0_6 ),
inference(unit_resulting_resolution,[],[f51,f55,f20]) ).
fof(f20,axiom,
! [X0,X1,X6,X5] :
( ~ product(X0,X1,X5)
| ~ product(X1,X0,X6)
| product(X5,X6,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',qg4) ).
fof(f55,plain,
( product(e_3,e_2,e_2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_6
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f51,plain,
( product(e_2,e_3,e_2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_5
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f652,plain,
( spl0_10
| spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f651,f62,f74,f70]) ).
fof(f70,plain,
( spl0_10
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f74,plain,
( spl0_11
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f62,plain,
( spl0_8
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f651,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f650,f9]) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',element_3) ).
fof(f650,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ group_element(e_3)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f538,f7]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',element_1) ).
fof(f538,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ group_element(e_1)
| ~ group_element(e_3)
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f533,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| ~ spl0_8 ),
inference(resolution,[],[f64,f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(e_3,X2,X0)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
inference(resolution,[],[f20,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( 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.l4JP902hqn/Vampire---4.8_19144',product_total_function1) ).
fof(f64,plain,
( product(e_1,e_3,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f649,plain,
( spl0_7
| spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f648,f49,f53,f57]) ).
fof(f57,plain,
( spl0_7
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f648,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f647,f9]) ).
fof(f647,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f625,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',element_2) ).
fof(f625,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f620]) ).
fof(f620,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_5 ),
inference(resolution,[],[f51,f21]) ).
fof(f646,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f506,f57,f151]) ).
fof(f151,plain,
( spl0_17
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f506,plain,
( ~ product(e_2,e_2,e_1)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f13,f59,f19]) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( ~ product(X3,X1,X0)
| ~ product(X4,X1,X0)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',product_left_cancellation) ).
fof(f59,plain,
( product(e_3,e_2,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',e_2_is_not_e_3) ).
fof(f644,plain,
( ~ spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f607,f49,f147]) ).
fof(f607,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f13,f51,f18]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X3,X1)
| ~ product(X0,X4,X1)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',product_right_cancellation) ).
fof(f591,plain,
( spl0_5
| ~ spl0_1
| spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f590,f57,f45,f32,f49]) ).
fof(f32,plain,
( spl0_1
<=> product(e_3,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f45,plain,
( spl0_4
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f590,plain,
( product(e_2,e_3,e_2)
| ~ spl0_1
| spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f589,f8]) ).
fof(f589,plain,
( product(e_2,e_3,e_2)
| ~ group_element(e_2)
| ~ spl0_1
| spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f588,f9]) ).
fof(f588,plain,
( product(e_2,e_3,e_2)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_1
| spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f587,f46]) ).
fof(f46,plain,
( ~ product(e_2,e_3,e_1)
| spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f587,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f510,f560]) ).
fof(f560,plain,
( ~ product(e_3,e_1,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f14,f34,f18]) ).
fof(f34,plain,
( product(e_3,e_3,e_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',e_3_is_not_e_1) ).
fof(f510,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_7 ),
inference(resolution,[],[f59,f21]) ).
fof(f490,plain,
( ~ spl0_20
| spl0_1
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f488,f49,f45,f32,f283]) ).
fof(f283,plain,
( spl0_20
<=> product(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f488,plain,
( ~ product(e_3,e_2,e_3)
| spl0_1
| spl0_4
| spl0_5 ),
inference(unit_resulting_resolution,[],[f8,f9,f33,f50,f46,f21]) ).
fof(f50,plain,
( ~ product(e_2,e_3,e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f33,plain,
( ~ product(e_3,e_3,e_3)
| spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f456,plain,
( spl0_7
| spl0_1
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f455,f53,f49,f45,f32,f57]) ).
fof(f455,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_1)
| spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f124,f54]) ).
fof(f54,plain,
( ~ product(e_3,e_2,e_2)
| spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f124,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| spl0_5 ),
inference(subsumption_resolution,[],[f120,f50]) ).
fof(f120,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[],[f25,f9]) ).
fof(f25,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_3,e_3,X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[],[f23,f8]) ).
fof(f23,plain,
! [X0,X1] :
( ~ group_element(X1)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_3,X0)
| product(X0,X1,e_2)
| product(X0,X1,e_1) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( product(e_3,e_3,X0)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(resolution,[],[f21,f16]) ).
fof(f454,plain,
( spl0_10
| spl0_1
| spl0_9
| spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f453,f74,f62,f66,f32,f70]) ).
fof(f66,plain,
( spl0_9
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f453,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| spl0_11 ),
inference(subsumption_resolution,[],[f157,f75]) ).
fof(f75,plain,
( ~ product(e_3,e_1,e_1)
| spl0_11 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f157,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[],[f26,f9]) ).
fof(f26,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_3,e_3,X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[],[f23,f7]) ).
fof(f452,plain,
( ~ spl0_20
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f305,f32,f283]) ).
fof(f305,plain,
( ~ product(e_3,e_2,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f13,f34,f18]) ).
fof(f450,plain,
( spl0_20
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f447,f57,f53,f283]) ).
fof(f447,plain,
( product(e_3,e_2,e_3)
| spl0_6
| spl0_7 ),
inference(unit_resulting_resolution,[],[f9,f8,f54,f58,f16]) ).
fof(f58,plain,
( ~ product(e_3,e_2,e_1)
| spl0_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f441,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f389,f57,f45,f163]) ).
fof(f163,plain,
( spl0_18
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f389,plain,
( product(e_1,e_1,e_2)
| ~ spl0_4
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f47,f59,f20]) ).
fof(f47,plain,
( product(e_2,e_3,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f440,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f344,f45,f62]) ).
fof(f344,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f10,f47,f19]) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',e_1_is_not_e_2) ).
fof(f438,plain,
( ~ spl0_1
| spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| ~ spl0_1
| spl0_8
| spl0_9 ),
inference(subsumption_resolution,[],[f435,f312]) ).
fof(f312,plain,
( ~ product(e_1,e_3,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f11,f34,f19]) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',e_1_is_not_e_3) ).
fof(f435,plain,
( product(e_1,e_3,e_3)
| spl0_8
| spl0_9 ),
inference(unit_resulting_resolution,[],[f7,f9,f63,f67,f16]) ).
fof(f67,plain,
( ~ product(e_1,e_3,e_2)
| spl0_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f63,plain,
( ~ product(e_1,e_3,e_1)
| spl0_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f434,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f381,f57,f74]) ).
fof(f381,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f10,f59,f18]) ).
fof(f432,plain,
( ~ spl0_9
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl0_9
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f413,f165]) ).
fof(f165,plain,
( product(e_1,e_1,e_2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f413,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f14,f68,f18]) ).
fof(f68,plain,
( product(e_1,e_3,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f370,plain,
( spl0_7
| ~ spl0_4
| spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f369,f70,f53,f45,f57]) ).
fof(f369,plain,
( product(e_3,e_2,e_1)
| ~ spl0_4
| spl0_6
| spl0_10 ),
inference(subsumption_resolution,[],[f368,f9]) ).
fof(f368,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ spl0_4
| spl0_6
| spl0_10 ),
inference(subsumption_resolution,[],[f367,f8]) ).
fof(f367,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_4
| spl0_6
| spl0_10 ),
inference(subsumption_resolution,[],[f360,f54]) ).
fof(f360,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_4
| spl0_10 ),
inference(subsumption_resolution,[],[f348,f71]) ).
fof(f71,plain,
( ~ product(e_3,e_1,e_2)
| spl0_10 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f348,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_4 ),
inference(resolution,[],[f47,f21]) ).
fof(f366,plain,
( ~ spl0_17
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f337,f45,f151]) ).
fof(f337,plain,
( ~ product(e_2,e_2,e_1)
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f13,f47,f18]) ).
fof(f295,plain,
( ~ spl0_16
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f249,f53,f147]) ).
fof(f249,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_6 ),
inference(unit_resulting_resolution,[],[f13,f55,f19]) ).
fof(f288,plain,
( ~ spl0_20
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f237,f53,f283]) ).
fof(f237,plain,
( ~ product(e_3,e_2,e_3)
| ~ spl0_6 ),
inference(unit_resulting_resolution,[],[f15,f55,f17]) ).
fof(f17,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X4)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',product_total_function2) ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.l4JP902hqn/Vampire---4.8_19144',e_3_is_not_e_2) ).
fof(f286,plain,
( spl0_4
| spl0_20
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f281,f53,f49,f283,f45]) ).
fof(f281,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_1)
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f280,f8]) ).
fof(f280,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_1)
| ~ group_element(e_2)
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f279,f9]) ).
fof(f279,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f254,f50]) ).
fof(f254,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_6 ),
inference(resolution,[],[f55,f21]) ).
fof(f278,plain,
( spl0_1
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f276,f8]) ).
fof(f276,plain,
( ~ group_element(e_2)
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f275,f9]) ).
fof(f275,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f274,f46]) ).
fof(f274,plain,
( product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f273,f50]) ).
fof(f273,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| spl0_1
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f254,f232]) ).
fof(f232,plain,
( ~ product(e_3,e_2,e_3)
| spl0_1
| spl0_4
| spl0_5 ),
inference(unit_resulting_resolution,[],[f8,f9,f33,f46,f50,f21]) ).
fof(f226,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f178,f40,f32]) ).
fof(f40,plain,
( spl0_3
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f178,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f14,f42,f17]) ).
fof(f42,plain,
( product(e_3,e_3,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f214,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f190,f40,f45]) ).
fof(f190,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f13,f42,f19]) ).
fof(f212,plain,
( ~ spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f181,f40,f57]) ).
fof(f181,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f15,f42,f18]) ).
fof(f154,plain,
( spl0_2
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f123,f151,f147,f36]) ).
fof(f36,plain,
( spl0_2
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f123,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_2) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[],[f25,f8]) ).
fof(f117,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f78,f36,f32]) ).
fof(f78,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f13,f38,f17]) ).
fof(f38,plain,
( product(e_3,e_3,e_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f111,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f84,f36,f53]) ).
fof(f84,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f15,f38,f18]) ).
fof(f110,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f85,f36,f70]) ).
fof(f85,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f14,f38,f18]) ).
fof(f107,plain,
( ~ spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f90,f36,f49]) ).
fof(f90,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f15,f38,f19]) ).
fof(f106,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f91,f36,f66]) ).
fof(f91,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f14,f38,f19]) ).
fof(f43,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f30,f40,f36,f32]) ).
fof(f30,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f27,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[],[f24,f9]) ).
fof(f24,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,e_3,X0)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[],[f23,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP134-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.15/0.15 % 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
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:49:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.23/0.36 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.l4JP902hqn/Vampire---4.8_19144
% 0.58/0.75 % (19479)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75 % (19479)Refutation not found, incomplete strategy% (19479)------------------------------
% 0.58/0.75 % (19479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19479)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (19479)Memory used [KB]: 949
% 0.58/0.75 % (19479)Time elapsed: 0.001 s
% 0.58/0.75 % (19479)Instructions burned: 2 (million)
% 0.58/0.75 % (19479)------------------------------
% 0.58/0.75 % (19479)------------------------------
% 0.58/0.75 % (19472)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (19475)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (19474)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (19473)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75 % (19476)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75 % (19477)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (19478)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75 % (19472)Refutation not found, incomplete strategy% (19472)------------------------------
% 0.58/0.75 % (19472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19472)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (19472)Memory used [KB]: 949
% 0.58/0.75 % (19472)Time elapsed: 0.002 s
% 0.58/0.75 % (19472)Instructions burned: 2 (million)
% 0.58/0.75 % (19475)Refutation not found, incomplete strategy% (19475)------------------------------
% 0.58/0.75 % (19475)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19475)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (19475)Memory used [KB]: 949
% 0.58/0.75 % (19475)Time elapsed: 0.003 s
% 0.58/0.75 % (19475)Instructions burned: 2 (million)
% 0.58/0.75 % (19475)------------------------------
% 0.58/0.75 % (19475)------------------------------
% 0.58/0.75 % (19472)------------------------------
% 0.58/0.75 % (19472)------------------------------
% 0.58/0.76 % (19482)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.76 % (19482)Refutation not found, incomplete strategy% (19482)------------------------------
% 0.58/0.76 % (19482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (19482)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (19482)Memory used [KB]: 965
% 0.58/0.76 % (19482)Time elapsed: 0.001 s
% 0.58/0.76 % (19482)Instructions burned: 2 (million)
% 0.58/0.76 % (19482)------------------------------
% 0.58/0.76 % (19482)------------------------------
% 0.62/0.76 % (19484)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)
% 0.62/0.76 % (19485)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)
% 0.62/0.76 % (19486)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)
% 0.62/0.76 % (19485)Refutation not found, incomplete strategy% (19485)------------------------------
% 0.62/0.76 % (19485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (19485)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (19485)Memory used [KB]: 949
% 0.62/0.76 % (19485)Time elapsed: 0.003 s
% 0.62/0.76 % (19485)Instructions burned: 2 (million)
% 0.62/0.76 % (19485)------------------------------
% 0.62/0.76 % (19485)------------------------------
% 0.62/0.76 % (19488)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)
% 0.62/0.76 % (19478)First to succeed.
% 0.62/0.76 % (19473)Also succeeded, but the first one will report.
% 0.62/0.77 % (19478)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19314"
% 0.62/0.77 % (19478)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (19478)------------------------------
% 0.62/0.77 % (19478)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (19478)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (19478)Memory used [KB]: 1189
% 0.62/0.77 % (19478)Time elapsed: 0.014 s
% 0.62/0.77 % (19478)Instructions burned: 23 (million)
% 0.62/0.77 % (19314)Success in time 0.395 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------