TSTP Solution File: GRP124-7.004 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP124-7.004 : 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 : n024.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 05:46:03 EDT 2024
% Result : Unsatisfiable 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 45
% Syntax : Number of formulae : 151 ( 29 unt; 0 def)
% Number of atoms : 391 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 406 ( 166 ~; 216 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 25 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f506,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f111,f113,f115,f128,f130,f174,f199,f211,f218,f245,f292,f309,f342,f354,f364,f366,f374,f381,f383,f390,f407,f448,f470,f489,f505]) ).
fof(f505,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl0_35 ),
inference(resolution,[],[f503,f21]) ).
fof(f21,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_3_is_not_e_1) ).
fof(f503,plain,
( equalish(e_3,e_1)
| ~ spl0_35 ),
inference(resolution,[],[f488,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ product2(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f33,f36]) ).
fof(f36,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product2_idempotence) ).
fof(f33,axiom,
! [X3,X0,X1,X4] :
( ~ product2(X0,X1,X4)
| equalish(X3,X4)
| ~ product2(X0,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product2_total_function2) ).
fof(f488,plain,
( product2(e_1,e_1,e_3)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl0_35
<=> product2(e_1,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f489,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_35
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f481,f468,f486,f150,f146,f142]) ).
fof(f142,plain,
( spl0_10
<=> product1(e_3,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f146,plain,
( spl0_11
<=> product1(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f150,plain,
( spl0_12
<=> product1(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f468,plain,
( spl0_32
<=> ! [X0] :
( product2(e_1,X0,e_3)
| ~ group_element(X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f481,plain,
( product2(e_1,e_1,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ spl0_32 ),
inference(resolution,[],[f469,f11]) ).
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',element_1) ).
fof(f469,plain,
( ! [X0] :
( ~ group_element(X0)
| product2(e_1,X0,e_3)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( ~ spl0_5
| spl0_32
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f466,f108,f468,f96]) ).
fof(f96,plain,
( spl0_5
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f108,plain,
( spl0_8
<=> product1(e_4,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f466,plain,
( ! [X0] :
( product2(e_1,X0,e_3)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_3) )
| ~ spl0_8 ),
inference(resolution,[],[f399,f27]) ).
fof(f27,axiom,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product1_total_function1) ).
fof(f399,plain,
( ! [X0] :
( ~ product1(e_3,X0,e_4)
| product2(e_1,X0,e_3) )
| ~ spl0_8 ),
inference(resolution,[],[f110,f37]) ).
fof(f37,axiom,
! [X0,X1,X6,X5] :
( ~ product1(X5,X0,X6)
| product2(X6,X1,X0)
| ~ product1(X0,X1,X5) ),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',qg2a) ).
fof(f110,plain,
( product1(e_4,e_3,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f448,plain,
( ~ spl0_8
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl0_8
| ~ spl0_29 ),
inference(resolution,[],[f442,f19]) ).
fof(f19,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_2_is_not_e_3) ).
fof(f442,plain,
( equalish(e_2,e_3)
| ~ spl0_8
| ~ spl0_29 ),
inference(resolution,[],[f308,f397]) ).
fof(f397,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_3) )
| ~ spl0_8 ),
inference(resolution,[],[f110,f29]) ).
fof(f29,axiom,
! [X3,X0,X1,X4] :
( ~ product1(X0,X4,X1)
| equalish(X3,X4)
| ~ product1(X0,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product1_right_cancellation) ).
fof(f308,plain,
( product1(e_4,e_2,e_1)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl0_29
<=> product1(e_4,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f407,plain,
( ~ spl0_11
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl0_11
| ~ spl0_24 ),
inference(resolution,[],[f405,f23]) ).
fof(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_3_is_not_e_4) ).
fof(f405,plain,
( equalish(e_3,e_4)
| ~ spl0_11
| ~ spl0_24 ),
inference(resolution,[],[f385,f148]) ).
fof(f148,plain,
( product1(e_3,e_1,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f385,plain,
( ! [X0] :
( ~ product1(X0,e_1,e_2)
| equalish(X0,e_4) )
| ~ spl0_24 ),
inference(resolution,[],[f287,f30]) ).
fof(f30,axiom,
! [X3,X0,X1,X4] :
( ~ product1(X4,X1,X0)
| equalish(X3,X4)
| ~ product1(X3,X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product1_left_cancellation) ).
fof(f287,plain,
( product1(e_4,e_1,e_2)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl0_24
<=> product1(e_4,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f390,plain,
( ~ spl0_7
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl0_7
| ~ spl0_24 ),
inference(resolution,[],[f384,f16]) ).
fof(f16,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_1_is_not_e_3) ).
fof(f384,plain,
( equalish(e_1,e_3)
| ~ spl0_7
| ~ spl0_24 ),
inference(resolution,[],[f287,f117]) ).
fof(f117,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_2)
| equalish(X0,e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f106,f29]) ).
fof(f106,plain,
( product1(e_4,e_3,e_2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl0_7
<=> product1(e_4,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f383,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| spl0_23 ),
inference(resolution,[],[f283,f11]) ).
fof(f283,plain,
( ~ group_element(e_1)
| spl0_23 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl0_23
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f381,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl0_25 ),
inference(resolution,[],[f379,f24]) ).
fof(f24,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_4_is_not_e_1) ).
fof(f379,plain,
( equalish(e_4,e_1)
| ~ spl0_25 ),
inference(resolution,[],[f291,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f30,f31]) ).
fof(f31,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product1_idempotence) ).
fof(f291,plain,
( product1(e_4,e_1,e_1)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_25
<=> product1(e_4,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f374,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl0_28 ),
inference(resolution,[],[f372,f25]) ).
fof(f25,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_4_is_not_e_2) ).
fof(f372,plain,
( equalish(e_4,e_2)
| ~ spl0_28 ),
inference(resolution,[],[f304,f44]) ).
fof(f304,plain,
( product1(e_4,e_2,e_2)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl0_28
<=> product1(e_4,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f366,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| spl0_27 ),
inference(resolution,[],[f300,f12]) ).
fof(f12,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',element_2) ).
fof(f300,plain,
( ~ group_element(e_2)
| spl0_27 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl0_27
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f364,plain,
( ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f362,f23]) ).
fof(f362,plain,
( equalish(e_3,e_4)
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f355,f169]) ).
fof(f169,plain,
( product1(e_3,e_2,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_16
<=> product1(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f355,plain,
( ! [X0] :
( ~ product1(X0,e_2,e_1)
| equalish(X0,e_4) )
| ~ spl0_29 ),
inference(resolution,[],[f308,f30]) ).
fof(f354,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f352,f18]) ).
fof(f18,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_2_is_not_e_1) ).
fof(f352,plain,
( equalish(e_2,e_1)
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f312,f296]) ).
fof(f296,plain,
( product1(e_4,e_2,e_3)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl0_26
<=> product1(e_4,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f312,plain,
( ! [X0] :
( ~ product1(e_4,X0,e_3)
| equalish(X0,e_1) )
| ~ spl0_22 ),
inference(resolution,[],[f279,f29]) ).
fof(f279,plain,
( product1(e_4,e_1,e_3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_22
<=> product1(e_4,e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f342,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| ~ spl0_17 ),
inference(resolution,[],[f340,f22]) ).
fof(f22,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_3_is_not_e_2) ).
fof(f340,plain,
( equalish(e_3,e_2)
| ~ spl0_17 ),
inference(resolution,[],[f173,f46]) ).
fof(f173,plain,
( product2(e_2,e_2,e_3)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_17
<=> product2(e_2,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f309,plain,
( spl0_26
| ~ spl0_27
| spl0_28
| spl0_29
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f274,f70,f306,f302,f298,f294]) ).
fof(f70,plain,
( spl0_3
<=> ! [X0] :
( product1(e_4,X0,e_3)
| product2(e_4,X0,e_4)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f274,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| ~ group_element(e_2)
| product1(e_4,e_2,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f268,f25]) ).
fof(f268,plain,
( ! [X0] :
( equalish(e_4,X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| ~ group_element(X0)
| product1(e_4,X0,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f134,f36]) ).
fof(f134,plain,
( ! [X0,X1] :
( ~ product2(e_4,X1,e_4)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| equalish(X1,X0)
| product1(e_4,X0,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f71,f34]) ).
fof(f34,axiom,
! [X3,X0,X1,X4] :
( ~ product2(X0,X4,X1)
| equalish(X3,X4)
| ~ product2(X0,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',product2_right_cancellation) ).
fof(f71,plain,
( ! [X0] :
( product2(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f292,plain,
( spl0_22
| ~ spl0_23
| spl0_24
| spl0_25
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f273,f70,f289,f285,f281,f277]) ).
fof(f273,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| ~ group_element(e_1)
| product1(e_4,e_1,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f268,f24]) ).
fof(f245,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| ~ spl0_12 ),
inference(resolution,[],[f243,f21]) ).
fof(f243,plain,
( equalish(e_3,e_1)
| ~ spl0_12 ),
inference(resolution,[],[f152,f44]) ).
fof(f152,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f218,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f217,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f216,f22]) ).
fof(f216,plain,
( equalish(e_3,e_2)
| ~ spl0_15 ),
inference(resolution,[],[f165,f44]) ).
fof(f165,plain,
( product1(e_3,e_2,e_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_15
<=> product1(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f211,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f208,f19]) ).
fof(f208,plain,
( equalish(e_2,e_3)
| ~ spl0_14 ),
inference(resolution,[],[f161,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f29,f31]) ).
fof(f161,plain,
( product1(e_3,e_2,e_3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_14
<=> product1(e_3,e_2,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f199,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f196,f16]) ).
fof(f196,plain,
( equalish(e_1,e_3)
| ~ spl0_10 ),
inference(resolution,[],[f144,f42]) ).
fof(f144,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f174,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_17
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f138,f126,f171,f167,f163,f159]) ).
fof(f126,plain,
( spl0_9
<=> ! [X0] :
( product2(e_2,X0,e_3)
| ~ group_element(X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f138,plain,
( product2(e_2,e_2,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| ~ spl0_9 ),
inference(resolution,[],[f127,f12]) ).
fof(f127,plain,
( ! [X0] :
( ~ group_element(X0)
| product2(e_2,X0,e_3)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f98,f13]) ).
fof(f13,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',element_3) ).
fof(f98,plain,
( ~ group_element(e_3)
| spl0_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f128,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f124,f104,f126,f96]) ).
fof(f124,plain,
( ! [X0] :
( product2(e_2,X0,e_3)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f119,f27]) ).
fof(f119,plain,
( ! [X0] :
( ~ product1(e_3,X0,e_4)
| product2(e_2,X0,e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f106,f37]) ).
fof(f115,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f114,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f102,f26]) ).
fof(f26,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',e_4_is_not_e_3) ).
fof(f102,plain,
( equalish(e_4,e_3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_6
<=> equalish(e_4,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f113,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f64,f14]) ).
fof(f14,axiom,
group_element(e_4),
file('/export/starexec/sandbox/tmp/tmp.EOdXaeWVO8/Vampire---4.8_27792',element_4) ).
fof(f64,plain,
( ~ group_element(e_4)
| spl0_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_1
<=> group_element(e_4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f111,plain,
( ~ spl0_5
| spl0_6
| spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f94,f70,f108,f104,f100,f96]) ).
fof(f94,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| equalish(e_4,e_3)
| ~ group_element(e_3)
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| equalish(e_4,e_3)
| ~ group_element(e_3)
| equalish(e_4,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f87,f44]) ).
fof(f87,plain,
( ! [X0] :
( product1(e_4,X0,e_3)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| equalish(e_4,X0)
| ~ group_element(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f78,f36]) ).
fof(f78,plain,
( ! [X0,X1] :
( ~ product2(e_4,X1,e_4)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| equalish(X1,X0)
| product1(e_4,X0,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f71,f34]) ).
fof(f72,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f57,f70,f62]) ).
fof(f57,plain,
! [X0] :
( product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_4)
| product2(e_4,X0,e_4) ),
inference(resolution,[],[f27,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| product2(X0,X1,X0) ),
inference(resolution,[],[f31,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:46:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.15/0.36 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.EOdXaeWVO8/Vampire---4.8_27792
% 0.56/0.75 % (28209)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)
% 0.56/0.75 % (28209)Refutation not found, incomplete strategy% (28209)------------------------------
% 0.56/0.75 % (28209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (28209)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (28209)Memory used [KB]: 953
% 0.56/0.75 % (28209)Time elapsed: 0.001 s
% 0.56/0.75 % (28209)Instructions burned: 2 (million)
% 0.56/0.75 % (28209)------------------------------
% 0.56/0.75 % (28209)------------------------------
% 0.56/0.75 % (28202)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)
% 0.56/0.75 % (28203)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)
% 0.56/0.75 % (28205)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)
% 0.56/0.75 % (28206)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)
% 0.56/0.75 % (28207)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)
% 0.56/0.75 % (28204)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (28208)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)
% 0.56/0.75 % (28202)Refutation not found, incomplete strategy% (28202)------------------------------
% 0.56/0.75 % (28202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (28202)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (28205)Refutation not found, incomplete strategy% (28205)------------------------------
% 0.56/0.75 % (28205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (28205)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (28205)Memory used [KB]: 951
% 0.56/0.75 % (28205)Time elapsed: 0.002 s
% 0.56/0.75 % (28205)Instructions burned: 2 (million)
% 0.56/0.75 % (28202)Memory used [KB]: 951
% 0.56/0.75 % (28202)Time elapsed: 0.002 s
% 0.56/0.75 % (28202)Instructions burned: 2 (million)
% 0.56/0.75 % (28205)------------------------------
% 0.56/0.75 % (28205)------------------------------
% 0.56/0.75 % (28202)------------------------------
% 0.56/0.75 % (28202)------------------------------
% 0.56/0.76 % (28212)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)
% 0.56/0.76 % (28212)Refutation not found, incomplete strategy% (28212)------------------------------
% 0.56/0.76 % (28212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (28212)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (28212)Memory used [KB]: 1049
% 0.56/0.76 % (28212)Time elapsed: 0.003 s
% 0.56/0.76 % (28212)Instructions burned: 7 (million)
% 0.56/0.76 % (28212)------------------------------
% 0.56/0.76 % (28212)------------------------------
% 0.56/0.76 % (28213)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)
% 0.56/0.76 % (28214)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)
% 0.56/0.76 % (28214)Refutation not found, incomplete strategy% (28214)------------------------------
% 0.56/0.76 % (28214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (28214)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (28214)Memory used [KB]: 951
% 0.56/0.76 % (28214)Time elapsed: 0.003 s
% 0.56/0.76 % (28214)Instructions burned: 2 (million)
% 0.56/0.76 % (28214)------------------------------
% 0.56/0.76 % (28214)------------------------------
% 0.56/0.76 % (28217)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)
% 0.56/0.76 % (28203)First to succeed.
% 0.56/0.76 % (28218)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)
% 0.56/0.76 % (28203)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28051"
% 0.56/0.77 % (28203)Refutation found. Thanks to Tanya!
% 0.56/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77 % (28203)------------------------------
% 0.56/0.77 % (28203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (28203)Termination reason: Refutation
% 0.56/0.77
% 0.56/0.77 % (28203)Memory used [KB]: 1147
% 0.56/0.77 % (28203)Time elapsed: 0.012 s
% 0.56/0.77 % (28203)Instructions burned: 17 (million)
% 0.56/0.77 % (28051)Success in time 0.395 s
% 0.56/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------