TSTP Solution File: GRP134-1.003 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP134-1.003 : 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 : n006.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 05:46:22 EDT 2024
% Result : Unsatisfiable 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 39
% Syntax : Number of formulae : 183 ( 13 unt; 0 def)
% Number of atoms : 550 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 656 ( 289 ~; 342 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 26 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f583,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f78,f80,f85,f174,f207,f212,f217,f219,f240,f270,f285,f294,f295,f311,f312,f317,f343,f346,f347,f357,f372,f383,f389,f397,f410,f418,f420,f429,f444,f453,f454,f462,f463,f506,f507,f513,f514,f560,f561,f576,f582]) ).
fof(f582,plain,
( spl0_25
| spl0_22
| ~ spl0_13
| ~ spl0_5
| spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f577,f178,f163,f72,f147,f191,f209]) ).
fof(f209,plain,
( spl0_25
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f191,plain,
( spl0_22
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f147,plain,
( spl0_13
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f72,plain,
( spl0_5
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f163,plain,
( spl0_16
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f178,plain,
( spl0_19
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f577,plain,
( product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f180,f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X2,e_3,X0)
| product(X0,X1,e_2) ),
inference(resolution,[],[f10,f14]) ).
fof(f14,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X5)
| product(X4,X5,X1)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',qg4) ).
fof(f10,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.RwZMY0zSOH/Vampire---4.8_31753',product_total_function1) ).
fof(f180,plain,
( product(e_1,e_2,e_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f576,plain,
( ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| ~ spl0_16
| ~ spl0_18 ),
inference(resolution,[],[f574,f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',e_3_is_not_e_2) ).
fof(f574,plain,
( equalish(e_3,e_2)
| ~ spl0_16
| ~ spl0_18 ),
inference(resolution,[],[f534,f173]) ).
fof(f173,plain,
( product(e_3,e_1,e_1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_18
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f534,plain,
( ! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(X0,e_2) )
| ~ spl0_16 ),
inference(resolution,[],[f165,f13]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X2,X3)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',product_left_cancellation) ).
fof(f165,plain,
( product(e_2,e_1,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f561,plain,
( ~ spl0_13
| ~ spl0_2
| spl0_9
| spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f549,f314,f242,f126,f32,f147]) ).
fof(f32,plain,
( spl0_2
<=> group_element(e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f126,plain,
( spl0_9
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f242,plain,
( spl0_27
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f314,plain,
( spl0_28
<=> product(e_2,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f549,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| spl0_28 ),
inference(resolution,[],[f315,f10]) ).
fof(f315,plain,
( ~ product(e_2,e_3,e_3)
| spl0_28 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f560,plain,
( ~ spl0_21
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f558,f126,f187]) ).
fof(f187,plain,
( spl0_21
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f558,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f522,f4]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',e_1_is_not_e_2) ).
fof(f522,plain,
( ! [X0] :
( equalish(X0,e_2)
| ~ product(X0,e_3,e_1) )
| ~ spl0_9 ),
inference(resolution,[],[f128,f13]) ).
fof(f128,plain,
( product(e_2,e_3,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f514,plain,
( spl0_15
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f510,f209,f160]) ).
fof(f160,plain,
( spl0_15
<=> ! [X0] :
( equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f510,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_2,X0,e_2) )
| ~ spl0_25 ),
inference(resolution,[],[f211,f12]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',product_right_cancellation) ).
fof(f211,plain,
( product(e_2,e_1,e_2)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f513,plain,
( spl0_20
| spl0_9
| ~ spl0_5
| ~ spl0_13
| spl0_19
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f508,f209,f178,f147,f72,f126,f182]) ).
fof(f182,plain,
( spl0_20
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f508,plain,
( product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_2)
| ~ spl0_25 ),
inference(resolution,[],[f211,f18]) ).
fof(f507,plain,
( ~ spl0_28
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f505,f126,f314]) ).
fof(f505,plain,
( ~ product(e_2,e_3,e_3)
| ~ spl0_9 ),
inference(resolution,[],[f473,f8]) ).
fof(f8,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',e_3_is_not_e_1) ).
fof(f473,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_2,e_3,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f128,f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',product_total_function2) ).
fof(f506,plain,
( ~ spl0_27
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f504,f126,f242]) ).
fof(f504,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_9 ),
inference(resolution,[],[f473,f6]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',e_2_is_not_e_1) ).
fof(f463,plain,
( spl0_22
| spl0_9
| ~ spl0_5
| ~ spl0_2
| spl0_21
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f456,f214,f187,f32,f72,f126,f191]) ).
fof(f214,plain,
( spl0_26
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f456,plain,
( product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_2)
| ~ spl0_26 ),
inference(resolution,[],[f216,f18]) ).
fof(f216,plain,
( product(e_3,e_1,e_2)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f462,plain,
( ~ spl0_23
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl0_23
| ~ spl0_26 ),
inference(resolution,[],[f455,f8]) ).
fof(f455,plain,
( equalish(e_3,e_1)
| ~ spl0_23
| ~ spl0_26 ),
inference(resolution,[],[f216,f423]) ).
fof(f423,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_1) )
| ~ spl0_23 ),
inference(resolution,[],[f202,f13]) ).
fof(f202,plain,
( product(e_1,e_1,e_2)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl0_23
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f454,plain,
( ~ spl0_12
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f452,f187,f143]) ).
fof(f143,plain,
( spl0_12
<=> product(e_1,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f452,plain,
( ~ product(e_1,e_3,e_3)
| ~ spl0_21 ),
inference(resolution,[],[f416,f8]) ).
fof(f416,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_1,e_3,X0) )
| ~ spl0_21 ),
inference(resolution,[],[f189,f11]) ).
fof(f189,plain,
( product(e_1,e_3,e_1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f453,plain,
( ~ spl0_22
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f451,f187,f191]) ).
fof(f451,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_21 ),
inference(resolution,[],[f416,f6]) ).
fof(f444,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl0_20
| ~ spl0_23 ),
inference(resolution,[],[f441,f6]) ).
fof(f441,plain,
( equalish(e_2,e_1)
| ~ spl0_20
| ~ spl0_23 ),
inference(resolution,[],[f424,f184]) ).
fof(f184,plain,
( product(e_1,e_2,e_2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f424,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(X0,e_1) )
| ~ spl0_23 ),
inference(resolution,[],[f202,f12]) ).
fof(f429,plain,
( ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| ~ spl0_23
| ~ spl0_25 ),
inference(resolution,[],[f421,f4]) ).
fof(f421,plain,
( equalish(e_1,e_2)
| ~ spl0_23
| ~ spl0_25 ),
inference(resolution,[],[f202,f392]) ).
fof(f392,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_2) )
| ~ spl0_25 ),
inference(resolution,[],[f211,f13]) ).
fof(f420,plain,
( ~ spl0_21
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl0_21
| ~ spl0_24 ),
inference(resolution,[],[f412,f8]) ).
fof(f412,plain,
( equalish(e_3,e_1)
| ~ spl0_21
| ~ spl0_24 ),
inference(resolution,[],[f189,f375]) ).
fof(f375,plain,
( ! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(X0,e_1) )
| ~ spl0_24 ),
inference(resolution,[],[f206,f12]) ).
fof(f206,plain,
( product(e_1,e_1,e_1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl0_24
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f418,plain,
( spl0_26
| spl0_12
| ~ spl0_2
| ~ spl0_5
| spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f413,f187,f171,f72,f32,f143,f214]) ).
fof(f413,plain,
( product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_2)
| ~ spl0_21 ),
inference(resolution,[],[f189,f18]) ).
fof(f410,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(resolution,[],[f408,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',e_2_is_not_e_3) ).
fof(f408,plain,
( equalish(e_2,e_3)
| ~ spl0_20
| ~ spl0_22 ),
inference(resolution,[],[f278,f184]) ).
fof(f278,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(X0,e_3) )
| ~ spl0_22 ),
inference(resolution,[],[f193,f12]) ).
fof(f193,plain,
( product(e_1,e_3,e_2)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f397,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f396,plain,
( $false
| ~ spl0_25
| ~ spl0_26 ),
inference(resolution,[],[f390,f7]) ).
fof(f390,plain,
( equalish(e_2,e_3)
| ~ spl0_25
| ~ spl0_26 ),
inference(resolution,[],[f211,f319]) ).
fof(f319,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) )
| ~ spl0_26 ),
inference(resolution,[],[f216,f13]) ).
fof(f389,plain,
( spl0_25
| spl0_27
| ~ spl0_13
| ~ spl0_5
| spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f384,f182,f163,f72,f147,f242,f209]) ).
fof(f384,plain,
( product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2)
| ~ spl0_20 ),
inference(resolution,[],[f184,f18]) ).
fof(f383,plain,
( ~ spl0_19
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl0_19
| ~ spl0_24 ),
inference(resolution,[],[f380,f6]) ).
fof(f380,plain,
( equalish(e_2,e_1)
| ~ spl0_19
| ~ spl0_24 ),
inference(resolution,[],[f375,f180]) ).
fof(f372,plain,
( ~ spl0_3
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl0_3
| ~ spl0_31 ),
inference(resolution,[],[f356,f324]) ).
fof(f324,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f299,f8]) ).
fof(f299,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_3,e_3,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f38,f11]) ).
fof(f38,plain,
( product(e_3,e_3,e_1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_3
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f356,plain,
( product(e_3,e_3,e_3)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl0_31
<=> product(e_3,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f357,plain,
( spl0_11
| spl0_31
| ~ spl0_2
| ~ spl0_13
| spl0_14
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f348,f314,f151,f147,f32,f354,f139]) ).
fof(f139,plain,
( spl0_11
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f151,plain,
( spl0_14
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f348,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_2)
| ~ spl0_28 ),
inference(resolution,[],[f316,f18]) ).
fof(f316,plain,
( product(e_2,e_3,e_3)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f347,plain,
( spl0_11
| spl0_28
| ~ spl0_2
| ~ spl0_13
| spl0_14
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f302,f242,f151,f147,f32,f314,f139]) ).
fof(f302,plain,
( product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_2,e_2)
| ~ spl0_27 ),
inference(resolution,[],[f244,f18]) ).
fof(f244,plain,
( product(e_2,e_3,e_2)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f346,plain,
( ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f344,f168,f139]) ).
fof(f168,plain,
( spl0_17
<=> ! [X0] :
( equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f344,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_17 ),
inference(resolution,[],[f169,f6]) ).
fof(f169,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(e_3,X0,e_2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f343,plain,
( ~ spl0_15
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f342,plain,
( $false
| ~ spl0_15
| ~ spl0_27 ),
inference(resolution,[],[f341,f8]) ).
fof(f341,plain,
( equalish(e_3,e_1)
| ~ spl0_15
| ~ spl0_27 ),
inference(resolution,[],[f161,f244]) ).
fof(f161,plain,
( ! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(X0,e_1) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f317,plain,
( spl0_26
| spl0_28
| ~ spl0_2
| ~ spl0_5
| spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f276,f191,f171,f72,f32,f314,f214]) ).
fof(f276,plain,
( product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_2)
| ~ spl0_22 ),
inference(resolution,[],[f193,f18]) ).
fof(f312,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f310,f36,f151]) ).
fof(f310,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f298,f7]) ).
fof(f298,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(e_3,X0,e_1) )
| ~ spl0_3 ),
inference(resolution,[],[f38,f12]) ).
fof(f311,plain,
( ~ spl0_18
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f309,f36,f171]) ).
fof(f309,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f298,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',e_1_is_not_e_3) ).
fof(f295,plain,
( ~ spl0_18
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f293,f204,f171]) ).
fof(f293,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_24 ),
inference(resolution,[],[f287,f8]) ).
fof(f287,plain,
( ! [X0] :
( equalish(X0,e_1)
| ~ product(X0,e_1,e_1) )
| ~ spl0_24 ),
inference(resolution,[],[f206,f13]) ).
fof(f294,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f292,f204,f163]) ).
fof(f292,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl0_24 ),
inference(resolution,[],[f287,f6]) ).
fof(f285,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(resolution,[],[f283,f8]) ).
fof(f283,plain,
( equalish(e_3,e_1)
| ~ spl0_22
| ~ spl0_23 ),
inference(resolution,[],[f249,f193]) ).
fof(f249,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(X0,e_1) )
| ~ spl0_23 ),
inference(resolution,[],[f202,f12]) ).
fof(f270,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_2
| spl0_21
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f269,f171,f187,f32,f72,f191]) ).
fof(f269,plain,
( product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_1,e_3,e_2)
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f264,plain,
( product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| ~ spl0_18 ),
inference(resolution,[],[f173,f18]) ).
fof(f240,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f238,f36,f126]) ).
fof(f238,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_3 ),
inference(resolution,[],[f221,f7]) ).
fof(f221,plain,
( ! [X0] :
( equalish(X0,e_3)
| ~ product(X0,e_3,e_1) )
| ~ spl0_3 ),
inference(resolution,[],[f38,f13]) ).
fof(f219,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f149,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',element_2) ).
fof(f149,plain,
( ~ group_element(e_2)
| spl0_13 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f217,plain,
( spl0_21
| spl0_22
| spl0_26
| spl0_18
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f197,f83,f171,f214,f191,f187]) ).
fof(f83,plain,
( spl0_7
<=> ! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f197,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ spl0_7 ),
inference(resolution,[],[f84,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',element_3) ).
fof(f84,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f212,plain,
( spl0_19
| spl0_20
| spl0_25
| spl0_16
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f196,f83,f163,f209,f182,f178]) ).
fof(f196,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ spl0_7 ),
inference(resolution,[],[f84,f2]) ).
fof(f207,plain,
( spl0_23
| spl0_24
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f198,f83,f204,f200]) ).
fof(f198,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ spl0_7 ),
inference(resolution,[],[f84,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.RwZMY0zSOH/Vampire---4.8_31753',element_1) ).
fof(f174,plain,
( spl0_17
| ~ spl0_2
| spl0_18
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f157,f76,f171,f32,f168]) ).
fof(f76,plain,
( spl0_6
<=> ! [X0] :
( equalish(X0,e_1)
| ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f157,plain,
( ! [X0] :
( product(e_3,e_1,e_1)
| ~ group_element(e_3)
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) )
| ~ spl0_6 ),
inference(resolution,[],[f121,f8]) ).
fof(f121,plain,
( ! [X0,X1] :
( equalish(X0,e_1)
| product(X0,e_1,e_1)
| ~ group_element(X0)
| equalish(X1,e_1)
| ~ product(X0,X1,e_2) )
| ~ spl0_6 ),
inference(resolution,[],[f77,f12]) ).
fof(f77,plain,
( ! [X0] :
( product(X0,e_1,e_2)
| ~ group_element(X0)
| product(X0,e_1,e_1)
| equalish(X0,e_1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f85,plain,
( ~ spl0_5
| spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f81,f36,f83,f72]) ).
fof(f81,plain,
( ! [X0] :
( ~ group_element(X0)
| ~ group_element(e_1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1) )
| spl0_3 ),
inference(resolution,[],[f37,f20]) ).
fof(f20,plain,
! [X0,X1] :
( product(e_3,e_3,X0)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X1,X0,e_2)
| product(X1,X0,e_1) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(e_3,e_3,X0)
| product(X0,X1,e_2)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
inference(resolution,[],[f18,f10]) ).
fof(f37,plain,
( ~ product(e_3,e_3,e_1)
| spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f80,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f74,f1]) ).
fof(f74,plain,
( ~ group_element(e_1)
| spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f78,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f69,f36,f76,f72]) ).
fof(f69,plain,
( ! [X0] :
( equalish(X0,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X0) )
| ~ spl0_3 ),
inference(resolution,[],[f64,f10]) ).
fof(f64,plain,
( ! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(X0,e_1) )
| ~ spl0_3 ),
inference(resolution,[],[f60,f13]) ).
fof(f60,plain,
( product(e_1,e_1,e_3)
| ~ spl0_3 ),
inference(resolution,[],[f49,f38]) ).
fof(f49,plain,
( ! [X0] :
( ~ product(e_3,e_3,X0)
| product(X0,e_1,e_3) )
| ~ spl0_3 ),
inference(resolution,[],[f38,f14]) ).
fof(f44,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f43]) ).
fof(f43,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f34,f3]) ).
fof(f34,plain,
( ~ group_element(e_3)
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP134-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.13 % 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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 20:38:38 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.12/0.35 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.RwZMY0zSOH/Vampire---4.8_31753
% 0.57/0.73 % (31861)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)
% 0.57/0.73 % (31863)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (31862)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)
% 0.57/0.73 % (31864)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)
% 0.57/0.73 % (31865)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)
% 0.57/0.73 % (31866)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)
% 0.57/0.73 % (31867)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)
% 0.57/0.73 % (31868)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)
% 0.57/0.73 % (31861)Refutation not found, incomplete strategy% (31861)------------------------------
% 0.57/0.73 % (31861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (31861)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73 % (31864)Refutation not found, incomplete strategy% (31864)------------------------------
% 0.57/0.73 % (31864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (31864)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (31864)Memory used [KB]: 947
% 0.57/0.73 % (31864)Time elapsed: 0.002 s
% 0.57/0.73 % (31864)Instructions burned: 2 (million)
% 0.57/0.73
% 0.57/0.73 % (31861)Memory used [KB]: 947
% 0.57/0.73 % (31861)Time elapsed: 0.002 s
% 0.57/0.73 % (31861)Instructions burned: 2 (million)
% 0.57/0.73 % (31866)Refutation not found, incomplete strategy% (31866)------------------------------
% 0.57/0.73 % (31866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (31866)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (31868)Refutation not found, incomplete strategy% (31868)------------------------------
% 0.57/0.73 % (31868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (31868)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (31868)Memory used [KB]: 947
% 0.57/0.73 % (31868)Time elapsed: 0.002 s
% 0.57/0.73 % (31868)Instructions burned: 2 (million)
% 0.57/0.73 % (31866)Memory used [KB]: 947
% 0.57/0.73 % (31866)Time elapsed: 0.002 s
% 0.57/0.73 % (31866)Instructions burned: 2 (million)
% 0.57/0.73 % (31864)------------------------------
% 0.57/0.73 % (31864)------------------------------
% 0.57/0.73 % (31861)------------------------------
% 0.57/0.73 % (31861)------------------------------
% 0.57/0.73 % (31868)------------------------------
% 0.57/0.73 % (31868)------------------------------
% 0.57/0.73 % (31866)------------------------------
% 0.57/0.73 % (31866)------------------------------
% 0.57/0.73 % (31872)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)
% 0.57/0.73 % (31869)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)
% 0.57/0.73 % (31871)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)
% 0.57/0.73 % (31870)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)
% 0.57/0.73 % (31871)Refutation not found, incomplete strategy% (31871)------------------------------
% 0.57/0.73 % (31871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (31869)Refutation not found, incomplete strategy% (31869)------------------------------
% 0.57/0.73 % (31869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (31869)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (31869)Memory used [KB]: 962
% 0.57/0.73 % (31869)Time elapsed: 0.023 s
% 0.57/0.73 % (31869)Instructions burned: 2 (million)
% 0.57/0.73 % (31871)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (31871)Memory used [KB]: 947
% 0.57/0.73 % (31871)Time elapsed: 0.023 s
% 0.57/0.73 % (31871)Instructions burned: 2 (million)
% 0.57/0.73 % (31869)------------------------------
% 0.57/0.73 % (31869)------------------------------
% 0.57/0.73 % (31871)------------------------------
% 0.57/0.73 % (31871)------------------------------
% 0.57/0.74 % (31873)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)
% 0.57/0.74 % (31874)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)
% 0.57/0.74 % (31862)First to succeed.
% 0.57/0.74 % (31867)Also succeeded, but the first one will report.
% 0.57/0.74 % (31862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31860"
% 0.57/0.74 % (31862)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (31862)------------------------------
% 0.57/0.74 % (31862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (31862)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (31862)Memory used [KB]: 1171
% 0.57/0.74 % (31862)Time elapsed: 0.034 s
% 0.57/0.74 % (31862)Instructions burned: 22 (million)
% 0.57/0.74 % (31860)Success in time 0.396 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------